id	sid	tid	token	lemma	pos
ajase-5751	1	1	pa	pa	PROPN
ajase-5751	1	2	ge	ge	PROPN
ajase-5751	1	3	1	1	NUM
ajase-5751	1	4	pa	pa	PROPN
ajase-5751	1	5	ge	ge	PROPN
ajase-5751	1	6	11	11	NUM
ajase-5751	1	7	2	2	NUM
ajase-5751	1	8	american	american	ADJ
ajase-5751	1	9	journal	journal	NOUN
ajase-5751	1	10	of	of	ADP
ajase-5751	1	11	applied	apply	VERB
ajase-5751	1	12	statistics	statistic	NOUN
ajase-5751	1	13	and	and	CCONJ
ajase-5751	1	14	economics	economic	NOUN
ajase-5751	1	15	(	(	PUNCT
ajase-5751	1	16	ajase	ajase	ADJ
ajase-5751	1	17	)	)	PUNCT
ajase-5751	1	18	predictive	predictive	ADJ
ajase-5751	1	19	modeling	modeling	NOUN
ajase-5751	1	20	of	of	ADP
ajase-5751	1	21	ghana	ghana	PROPN
ajase-5751	1	22	’s	’s	PART
ajase-5751	1	23	private	private	ADJ
ajase-5751	1	24	sector	sector	NOUN
ajase-5751	1	25	pensions	pension	NOUN
ajase-5751	1	26	asset	asset	NOUN
ajase-5751	1	27	under	under	ADP
ajase-5751	1	28	management	management	NOUN
ajase-5751	1	29	contribution	contribution	NOUN
ajase-5751	1	30	using	use	VERB
ajase-5751	1	31	arima	arima	PROPN
ajase-5751	1	32	model	model	NOUN
ajase-5751	1	33	chinton	chinton	NOUN
ajase-5751	1	34	emmanuel1	emmanuel1	PROPN
ajase-5751	1	35	*	*	PROPN
ajase-5751	1	36	,	,	PUNCT
ajase-5751	1	37	donkoh	donkoh	PROPN
ajase-5751	1	38	kojo	kojo	PROPN
ajase-5751	1	39	isaac2	isaac2	PROPN
ajase-5751	1	40	,	,	PUNCT
ajase-5751	1	41	acquah	acquah	VERB
ajase-5751	1	42	oware	oware	ADJ
ajase-5751	1	43	nana	nana	PROPN
ajase-5751	1	44	emmanuel3	emmanuel3	PROPN
ajase-5751	1	45	volume	volume	VERB
ajase-5751	1	46	4	4	NUM
ajase-5751	1	47	issue	issue	NOUN
ajase-5751	1	48	1	1	NUM
ajase-5751	1	49	,	,	PUNCT
ajase-5751	1	50	year	year	NOUN
ajase-5751	1	51	2025	2025	NUM
ajase-5751	1	52	issn	issn	NOUN
ajase-5751	1	53	:	:	PUNCT
ajase-5751	1	54	2992	2992	NUM
ajase-5751	1	55	-	-	PUNCT
ajase-5751	1	56	927x	927x	NOUN
ajase-5751	1	57	(	(	PUNCT
ajase-5751	1	58	online	online	ADJ
ajase-5751	1	59	)	)	PUNCT
ajase-5751	1	60	doi	doi	NOUN
ajase-5751	1	61	:	:	PUNCT
ajase-5751	1	62	https://doi.org/10.54536/ajase.v4i1.5751	https://doi.org/10.54536/ajase.v4i1.5751	X
ajase-5751	2	1	https://journals.e-palli.com/home/index.php/ajase	https://journals.e-palli.com/home/index.php/ajase	PROPN
ajase-5751	2	2	article	article	NOUN
ajase-5751	2	3	information	information	NOUN
ajase-5751	2	4	abstract	abstract	ADV
ajase-5751	2	5	received	receive	VERB
ajase-5751	2	6	:	:	PUNCT
ajase-5751	2	7	july	july	PROPN
ajase-5751	2	8	24	24	NUM
ajase-5751	2	9	,	,	PUNCT
ajase-5751	2	10	2025	2025	NUM
ajase-5751	2	11	accepted	accept	VERB
ajase-5751	2	12	:	:	PUNCT
ajase-5751	2	13	august	august	PROPN
ajase-5751	2	14	25	25	NUM
ajase-5751	2	15	,	,	PUNCT
ajase-5751	2	16	2025	2025	NUM
ajase-5751	2	17	published	publish	VERB
ajase-5751	2	18	:	:	PUNCT
ajase-5751	2	19	october	october	PROPN
ajase-5751	2	20	06	06	NUM
ajase-5751	2	21	,	,	PUNCT
ajase-5751	2	22	2025	2025	NUM
ajase-5751	2	23	this	this	DET
ajase-5751	2	24	study	study	NOUN
ajase-5751	2	25	applies	apply	VERB
ajase-5751	2	26	an	an	DET
ajase-5751	2	27	arima	arima	NOUN
ajase-5751	2	28	(	(	PUNCT
ajase-5751	2	29	1,1,0	1,1,0	NUM
ajase-5751	2	30	)	)	PUNCT
ajase-5751	2	31	model	model	NOUN
ajase-5751	2	32	to	to	PART
ajase-5751	2	33	analyze	analyze	VERB
ajase-5751	2	34	the	the	DET
ajase-5751	2	35	private	private	ADJ
ajase-5751	2	36	sector	sector	NOUN
ajase-5751	2	37	pension	pension	NOUN
ajase-5751	2	38	assets	asset	NOUN
ajase-5751	2	39	under	under	ADP
ajase-5751	2	40	management	management	NOUN
ajase-5751	2	41	(	(	PUNCT
ajase-5751	2	42	aum	aum	NOUN
ajase-5751	2	43	)	)	PUNCT
ajase-5751	2	44	in	in	ADP
ajase-5751	2	45	ghana	ghana	PROPN
ajase-5751	2	46	.	.	PUNCT
ajase-5751	3	1	the	the	DET
ajase-5751	3	2	model	model	NOUN
ajase-5751	3	3	’s	’s	PART
ajase-5751	3	4	parameters	parameter	NOUN
ajase-5751	3	5	and	and	CCONJ
ajase-5751	3	6	performance	performance	NOUN
ajase-5751	3	7	metrics	metric	NOUN
ajase-5751	3	8	were	be	AUX
ajase-5751	3	9	evaluated	evaluate	VERB
ajase-5751	3	10	using	use	VERB
ajase-5751	3	11	sarimax	sarimax	ADJ
ajase-5751	3	12	results	result	NOUN
ajase-5751	3	13	and	and	CCONJ
ajase-5751	3	14	the	the	DET
ajase-5751	3	15	dickey	dickey	NOUN
ajase-5751	3	16	-	-	PUNCT
ajase-5751	3	17	fuller	full	ADJ
ajase-5751	3	18	test	test	NOUN
ajase-5751	3	19	for	for	ADP
ajase-5751	3	20	stationarity	stationarity	NOUN
ajase-5751	3	21	.	.	PUNCT
ajase-5751	4	1	the	the	DET
ajase-5751	4	2	sarimax	sarimax	PROPN
ajase-5751	4	3	model	model	NOUN
ajase-5751	4	4	demonstrated	demonstrate	VERB
ajase-5751	4	5	a	a	DET
ajase-5751	4	6	significant	significant	ADJ
ajase-5751	4	7	autoregressive	autoregressive	ADJ
ajase-5751	4	8	term	term	NOUN
ajase-5751	4	9	(	(	PUNCT
ajase-5751	4	10	ar	ar	PROPN
ajase-5751	4	11	.	.	PROPN
ajase-5751	4	12	l1	l1	PROPN
ajase-5751	4	13	=	=	PUNCT
ajase-5751	4	14	0.9693	0.9693	NUM
ajase-5751	4	15	)	)	PUNCT
ajase-5751	4	16	and	and	CCONJ
ajase-5751	4	17	acceptable	acceptable	ADJ
ajase-5751	4	18	performance	performance	NOUN
ajase-5751	4	19	metrics	metric	NOUN
ajase-5751	4	20	(	(	PUNCT
ajase-5751	4	21	mae	mae	PROPN
ajase-5751	4	22	=	=	PROPN
ajase-5751	4	23	5.99	5.99	NUM
ajase-5751	4	24	,	,	PUNCT
ajase-5751	4	25	rmse	rmse	NOUN
ajase-5751	4	26	=	=	NOUN
ajase-5751	4	27	13.89	13.89	NUM
ajase-5751	4	28	,	,	PUNCT
ajase-5751	4	29	mape	mape	NOUN
ajase-5751	4	30	=	=	SYM
ajase-5751	4	31	23.97	23.97	NUM
ajase-5751	4	32	%	%	NOUN
ajase-5751	4	33	)	)	PUNCT
ajase-5751	4	34	,	,	PUNCT
ajase-5751	4	35	indicating	indicate	VERB
ajase-5751	4	36	a	a	DET
ajase-5751	4	37	strong	strong	ADJ
ajase-5751	4	38	influence	influence	NOUN
ajase-5751	4	39	of	of	ADP
ajase-5751	4	40	past	past	ADJ
ajase-5751	4	41	values	value	NOUN
ajase-5751	4	42	on	on	ADP
ajase-5751	4	43	current	current	ADJ
ajase-5751	4	44	aum	aum	PROPN
ajase-5751	4	45	.	.	PUNCT
ajase-5751	5	1	the	the	DET
ajase-5751	5	2	diagnostic	diagnostic	ADJ
ajase-5751	5	3	tests	test	NOUN
ajase-5751	5	4	suggested	suggest	VERB
ajase-5751	5	5	that	that	SCONJ
ajase-5751	5	6	residuals	residual	NOUN
ajase-5751	5	7	were	be	AUX
ajase-5751	5	8	not	not	PART
ajase-5751	5	9	autocorrelated	autocorrelated	ADJ
ajase-5751	5	10	and	and	CCONJ
ajase-5751	5	11	approximately	approximately	ADV
ajase-5751	5	12	normally	normally	ADV
ajase-5751	5	13	distributed	distribute	VERB
ajase-5751	5	14	.	.	PUNCT
ajase-5751	6	1	the	the	DET
ajase-5751	6	2	dickey	dickey	PROPN
ajase-5751	6	3	-	-	PUNCT
ajase-5751	6	4	fuller	full	ADJ
ajase-5751	6	5	test	test	NOUN
ajase-5751	6	6	further	far	ADV
ajase-5751	6	7	confirmed	confirm	VERB
ajase-5751	6	8	the	the	DET
ajase-5751	6	9	stationarity	stationarity	NOUN
ajase-5751	6	10	of	of	ADP
ajase-5751	6	11	the	the	DET
ajase-5751	6	12	time	time	NOUN
ajase-5751	6	13	series	series	NOUN
ajase-5751	6	14	,	,	PUNCT
ajase-5751	6	15	with	with	ADP
ajase-5751	6	16	a	a	DET
ajase-5751	6	17	test	test	NOUN
ajase-5751	6	18	statistic	statistic	NOUN
ajase-5751	6	19	of	of	ADP
ajase-5751	6	20	-5.3314	-5.3314	PROPN
ajase-5751	6	21	and	and	CCONJ
ajase-5751	6	22	a	a	DET
ajase-5751	6	23	p	p	NOUN
ajase-5751	6	24	-	-	PUNCT
ajase-5751	6	25	value	value	NOUN
ajase-5751	6	26	of	of	ADP
ajase-5751	6	27	4.7116e-06	4.7116e-06	NUM
ajase-5751	6	28	,	,	PUNCT
ajase-5751	6	29	allowing	allow	VERB
ajase-5751	6	30	us	we	PRON
ajase-5751	6	31	to	to	PART
ajase-5751	6	32	reject	reject	VERB
ajase-5751	6	33	the	the	DET
ajase-5751	6	34	null	null	ADJ
ajase-5751	6	35	hypothesis	hypothesis	NOUN
ajase-5751	6	36	of	of	ADP
ajase-5751	6	37	a	a	DET
ajase-5751	6	38	unit	unit	NOUN
ajase-5751	6	39	root	root	NOUN
ajase-5751	6	40	.	.	PUNCT
ajase-5751	7	1	overall	overall	ADV
ajase-5751	7	2	,	,	PUNCT
ajase-5751	7	3	the	the	DET
ajase-5751	7	4	arima	arima	PROPN
ajase-5751	7	5	(	(	PUNCT
ajase-5751	7	6	1,1,0	1,1,0	NUM
ajase-5751	7	7	)	)	PUNCT
ajase-5751	7	8	model	model	NOUN
ajase-5751	7	9	provides	provide	VERB
ajase-5751	7	10	a	a	DET
ajase-5751	7	11	reliable	reliable	ADJ
ajase-5751	7	12	framework	framework	NOUN
ajase-5751	7	13	for	for	ADP
ajase-5751	7	14	forecasting	forecasting	NOUN
ajase-5751	7	15	and	and	CCONJ
ajase-5751	7	16	analyzing	analyze	VERB
ajase-5751	7	17	the	the	DET
ajase-5751	7	18	private	private	ADJ
ajase-5751	7	19	sector	sector	NOUN
ajase-5751	7	20	pension	pension	NOUN
ajase-5751	7	21	aum	aum	PROPN
ajase-5751	7	22	in	in	ADP
ajase-5751	7	23	ghana	ghana	PROPN
ajase-5751	7	24	,	,	PUNCT
ajase-5751	7	25	supported	support	VERB
ajase-5751	7	26	by	by	ADP
ajase-5751	7	27	robust	robust	ADJ
ajase-5751	7	28	statistical	statistical	ADJ
ajase-5751	7	29	validation	validation	NOUN
ajase-5751	7	30	.	.	PUNCT
ajase-5751	8	1	keywords	keyword	VERB
ajase-5751	8	2	arima	arima	PROPN
ajase-5751	8	3	,	,	PUNCT
ajase-5751	8	4	asset	asset	NOUN
ajase-5751	8	5	under	under	ADP
ajase-5751	8	6	management	management	NOUN
ajase-5751	8	7	(	(	PUNCT
ajase-5751	8	8	aum	aum	NOUN
ajase-5751	8	9	)	)	PUNCT
ajase-5751	8	10	,	,	PUNCT
ajase-5751	8	11	pensions	pension	NOUN
ajase-5751	8	12	contribution	contribution	NOUN
ajase-5751	8	13	in	in	ADP
ajase-5751	8	14	ghana	ghana	PROPN
ajase-5751	8	15	,	,	PUNCT
ajase-5751	8	16	private	private	ADJ
ajase-5751	8	17	sector	sector	NOUN
ajase-5751	8	18	1	1	NUM
ajase-5751	8	19	department	department	NOUN
ajase-5751	8	20	of	of	ADP
ajase-5751	8	21	statistics	statistic	NOUN
ajase-5751	8	22	,	,	PUNCT
ajase-5751	8	23	university	university	PROPN
ajase-5751	8	24	of	of	ADP
ajase-5751	8	25	cape	cape	PROPN
ajase-5751	8	26	coast	coast	PROPN
ajase-5751	8	27	,	,	PUNCT
ajase-5751	8	28	ghana	ghana	PROPN
ajase-5751	8	29	2	2	NUM
ajase-5751	8	30	financial	financial	ADJ
ajase-5751	8	31	engineering	engineering	NOUN
ajase-5751	8	32	,	,	PUNCT
ajase-5751	8	33	worldquant	worldquant	PROPN
ajase-5751	8	34	university	university	PROPN
ajase-5751	8	35	,	,	PUNCT
ajase-5751	8	36	usa	usa	PROPN
ajase-5751	8	37	3	3	NUM
ajase-5751	8	38	department	department	NOUN
ajase-5751	8	39	of	of	ADP
ajase-5751	8	40	economics	economic	NOUN
ajase-5751	8	41	and	and	CCONJ
ajase-5751	8	42	finance	finance	NOUN
ajase-5751	8	43	,	,	PUNCT
ajase-5751	8	44	youngstown	youngstown	PROPN
ajase-5751	8	45	state	state	PROPN
ajase-5751	8	46	university	university	PROPN
ajase-5751	8	47	,	,	PUNCT
ajase-5751	8	48	usa	usa	PROPN
ajase-5751	8	49	*	*	PUNCT
ajase-5751	8	50	corresponding	correspond	VERB
ajase-5751	8	51	author	author	NOUN
ajase-5751	8	52	’s	’s	PART
ajase-5751	8	53	e	e	NOUN
ajase-5751	8	54	-	-	NOUN
ajase-5751	8	55	mail	mail	NOUN
ajase-5751	8	56	:	:	PUNCT
ajase-5751	8	57	emmanuelchinton7@gmail.com	emmanuelchinton7@gmail.com	X
ajase-5751	8	58	introduction	introduction	NOUN
ajase-5751	8	59	retirement	retirement	NOUN
ajase-5751	8	60	planning	planning	NOUN
ajase-5751	8	61	plays	play	VERB
ajase-5751	8	62	a	a	DET
ajase-5751	8	63	critical	critical	ADJ
ajase-5751	8	64	role	role	NOUN
ajase-5751	8	65	in	in	ADP
ajase-5751	8	66	ensuring	ensure	VERB
ajase-5751	8	67	financial	financial	ADJ
ajase-5751	8	68	security	security	NOUN
ajase-5751	8	69	during	during	ADP
ajase-5751	8	70	old	old	ADJ
ajase-5751	8	71	age	age	NOUN
ajase-5751	8	72	.	.	PUNCT
ajase-5751	9	1	without	without	ADP
ajase-5751	9	2	adequate	adequate	ADJ
ajase-5751	9	3	savings	saving	NOUN
ajase-5751	9	4	or	or	CCONJ
ajase-5751	9	5	income	income	NOUN
ajase-5751	9	6	-	-	PUNCT
ajase-5751	9	7	generating	generate	VERB
ajase-5751	9	8	assets	asset	NOUN
ajase-5751	9	9	,	,	PUNCT
ajase-5751	9	10	many	many	ADJ
ajase-5751	9	11	individuals	individual	NOUN
ajase-5751	9	12	face	face	VERB
ajase-5751	9	13	severe	severe	ADJ
ajase-5751	9	14	financial	financial	ADJ
ajase-5751	9	15	challenges	challenge	NOUN
ajase-5751	9	16	after	after	ADP
ajase-5751	9	17	leaving	leave	VERB
ajase-5751	9	18	active	active	ADJ
ajase-5751	9	19	employment	employment	NOUN
ajase-5751	9	20	(	(	PUNCT
ajase-5751	9	21	diaw	diaw	PROPN
ajase-5751	9	22	,	,	PUNCT
ajase-5751	9	23	2017	2017	NUM
ajase-5751	9	24	)	)	PUNCT
ajase-5751	9	25	.	.	PUNCT
ajase-5751	10	1	to	to	PART
ajase-5751	10	2	address	address	VERB
ajase-5751	10	3	this	this	PRON
ajase-5751	10	4	,	,	PUNCT
ajase-5751	10	5	most	most	ADJ
ajase-5751	10	6	countries	country	NOUN
ajase-5751	10	7	have	have	AUX
ajase-5751	10	8	adopted	adopt	VERB
ajase-5751	10	9	social	social	ADJ
ajase-5751	10	10	security	security	NOUN
ajase-5751	10	11	and	and	CCONJ
ajase-5751	10	12	pension	pension	NOUN
ajase-5751	10	13	systems	system	NOUN
ajase-5751	10	14	that	that	PRON
ajase-5751	10	15	provide	provide	VERB
ajase-5751	10	16	stable	stable	ADJ
ajase-5751	10	17	income	income	NOUN
ajase-5751	10	18	for	for	ADP
ajase-5751	10	19	retirees	retiree	NOUN
ajase-5751	10	20	and	and	CCONJ
ajase-5751	10	21	reduce	reduce	VERB
ajase-5751	10	22	old	old	ADJ
ajase-5751	10	23	-	-	PUNCT
ajase-5751	10	24	age	age	NOUN
ajase-5751	10	25	poverty	poverty	NOUN
ajase-5751	10	26	.	.	PUNCT
ajase-5751	11	1	in	in	ADP
ajase-5751	11	2	ghana	ghana	PROPN
ajase-5751	11	3	,	,	PUNCT
ajase-5751	11	4	the	the	DET
ajase-5751	11	5	enactment	enactment	NOUN
ajase-5751	11	6	of	of	ADP
ajase-5751	11	7	the	the	DET
ajase-5751	11	8	national	national	PROPN
ajase-5751	11	9	pensions	pension	NOUN
ajase-5751	11	10	act	act	PROPN
ajase-5751	11	11	,	,	PUNCT
ajase-5751	11	12	2008	2008	NUM
ajase-5751	11	13	(	(	PUNCT
ajase-5751	11	14	act	act	VERB
ajase-5751	11	15	766	766	NUM
ajase-5751	11	16	)	)	PUNCT
ajase-5751	11	17	,	,	PUNCT
ajase-5751	11	18	marked	mark	VERB
ajase-5751	11	19	a	a	DET
ajase-5751	11	20	major	major	ADJ
ajase-5751	11	21	reform	reform	NOUN
ajase-5751	11	22	of	of	ADP
ajase-5751	11	23	the	the	DET
ajase-5751	11	24	pension	pension	NOUN
ajase-5751	11	25	system	system	NOUN
ajase-5751	11	26	.	.	PUNCT
ajase-5751	12	1	the	the	DET
ajase-5751	12	2	act	act	NOUN
ajase-5751	12	3	replaced	replace	VERB
ajase-5751	12	4	the	the	DET
ajase-5751	12	5	social	social	ADJ
ajase-5751	12	6	security	security	NOUN
ajase-5751	12	7	and	and	CCONJ
ajase-5751	12	8	national	national	ADJ
ajase-5751	12	9	insurance	insurance	NOUN
ajase-5751	12	10	law	law	NOUN
ajase-5751	12	11	(	(	PUNCT
ajase-5751	12	12	pndcl	pndcl	NOUN
ajase-5751	12	13	247	247	NUM
ajase-5751	12	14	)	)	PUNCT
ajase-5751	12	15	and	and	CCONJ
ajase-5751	12	16	introduced	introduce	VERB
ajase-5751	12	17	a	a	DET
ajase-5751	12	18	contributory	contributory	ADJ
ajase-5751	12	19	three	three	NUM
ajase-5751	12	20	-	-	PUNCT
ajase-5751	12	21	tier	tier	NOUN
ajase-5751	12	22	pension	pension	NOUN
ajase-5751	12	23	scheme	scheme	NOUN
ajase-5751	12	24	.	.	PUNCT
ajase-5751	13	1	these	these	DET
ajase-5751	13	2	tiers	tier	NOUN
ajase-5751	13	3	comprise	comprise	VERB
ajase-5751	13	4	:	:	PUNCT
ajase-5751	13	5	(	(	PUNCT
ajase-5751	13	6	i	i	NOUN
ajase-5751	13	7	)	)	PUNCT
ajase-5751	13	8	a	a	DET
ajase-5751	13	9	mandatory	mandatory	ADJ
ajase-5751	13	10	basic	basic	ADJ
ajase-5751	13	11	national	national	ADJ
ajase-5751	13	12	social	social	ADJ
ajase-5751	13	13	security	security	NOUN
ajase-5751	13	14	scheme	scheme	NOUN
ajase-5751	13	15	managed	manage	VERB
ajase-5751	13	16	by	by	ADP
ajase-5751	13	17	ssnit	ssnit	VERB
ajase-5751	13	18	,	,	PUNCT
ajase-5751	13	19	(	(	PUNCT
ajase-5751	13	20	ii	ii	NOUN
ajase-5751	13	21	)	)	PUNCT
ajase-5751	13	22	a	a	DET
ajase-5751	13	23	mandatory	mandatory	ADJ
ajase-5751	13	24	occupational	occupational	ADJ
ajase-5751	13	25	pension	pension	NOUN
ajase-5751	13	26	scheme	scheme	NOUN
ajase-5751	13	27	managed	manage	VERB
ajase-5751	13	28	by	by	ADP
ajase-5751	13	29	private	private	ADJ
ajase-5751	13	30	trustees	trustee	NOUN
ajase-5751	13	31	,	,	PUNCT
ajase-5751	13	32	and	and	CCONJ
ajase-5751	13	33	(	(	PUNCT
ajase-5751	13	34	iii	iii	X
ajase-5751	13	35	)	)	PUNCT
ajase-5751	13	36	a	a	DET
ajase-5751	13	37	voluntary	voluntary	ADJ
ajase-5751	13	38	provident	provident	NOUN
ajase-5751	13	39	and	and	CCONJ
ajase-5751	13	40	personal	personal	ADJ
ajase-5751	13	41	pension	pension	NOUN
ajase-5751	13	42	scheme	scheme	NOUN
ajase-5751	13	43	.	.	PUNCT
ajase-5751	14	1	the	the	DET
ajase-5751	14	2	act	act	NOUN
ajase-5751	14	3	also	also	ADV
ajase-5751	14	4	established	establish	VERB
ajase-5751	14	5	the	the	DET
ajase-5751	14	6	national	national	ADJ
ajase-5751	14	7	pensions	pension	NOUN
ajase-5751	14	8	regulatory	regulatory	ADJ
ajase-5751	14	9	authority	authority	NOUN
ajase-5751	14	10	(	(	PUNCT
ajase-5751	14	11	npra	npra	NOUN
ajase-5751	14	12	)	)	PUNCT
ajase-5751	14	13	to	to	PART
ajase-5751	14	14	regulate	regulate	VERB
ajase-5751	14	15	and	and	CCONJ
ajase-5751	14	16	supervise	supervise	VERB
ajase-5751	14	17	pension	pension	NOUN
ajase-5751	14	18	administration	administration	NOUN
ajase-5751	14	19	.	.	PUNCT
ajase-5751	15	1	a	a	DET
ajase-5751	15	2	key	key	ADJ
ajase-5751	15	3	innovation	innovation	NOUN
ajase-5751	15	4	of	of	ADP
ajase-5751	15	5	act	act	NOUN
ajase-5751	15	6	766	766	NUM
ajase-5751	15	7	was	be	AUX
ajase-5751	15	8	the	the	DET
ajase-5751	15	9	extension	extension	NOUN
ajase-5751	15	10	of	of	ADP
ajase-5751	15	11	pension	pension	NOUN
ajase-5751	15	12	coverage	coverage	NOUN
ajase-5751	15	13	to	to	ADP
ajase-5751	15	14	informal	informal	ADJ
ajase-5751	15	15	sector	sector	NOUN
ajase-5751	15	16	and	and	CCONJ
ajase-5751	15	17	self	self	NOUN
ajase-5751	15	18	-	-	PUNCT
ajase-5751	15	19	employed	employ	VERB
ajase-5751	15	20	workers	worker	NOUN
ajase-5751	15	21	,	,	PUNCT
ajase-5751	15	22	alongside	alongside	ADP
ajase-5751	15	23	those	those	PRON
ajase-5751	15	24	in	in	ADP
ajase-5751	15	25	formal	formal	ADJ
ajase-5751	15	26	employment	employment	NOUN
ajase-5751	15	27	(	(	PUNCT
ajase-5751	15	28	abebrese	abebrese	ADJ
ajase-5751	15	29	,	,	PUNCT
ajase-5751	15	30	2011	2011	NUM
ajase-5751	15	31	)	)	PUNCT
ajase-5751	15	32	.	.	PUNCT
ajase-5751	16	1	the	the	DET
ajase-5751	16	2	scheme	scheme	NOUN
ajase-5751	16	3	requires	require	VERB
ajase-5751	16	4	a	a	DET
ajase-5751	16	5	total	total	ADJ
ajase-5751	16	6	monthly	monthly	ADJ
ajase-5751	16	7	contribution	contribution	NOUN
ajase-5751	16	8	of	of	ADP
ajase-5751	16	9	18.5	18.5	NUM
ajase-5751	16	10	%	%	NOUN
ajase-5751	16	11	of	of	ADP
ajase-5751	16	12	basic	basic	ADJ
ajase-5751	16	13	salary	salary	NOUN
ajase-5751	16	14	,	,	PUNCT
ajase-5751	16	15	with	with	ADP
ajase-5751	16	16	13.5	13.5	NUM
ajase-5751	16	17	%	%	NOUN
ajase-5751	16	18	allocated	allocate	VERB
ajase-5751	16	19	to	to	ADP
ajase-5751	16	20	tier	tier	NOUN
ajase-5751	16	21	1	1	NUM
ajase-5751	16	22	and	and	CCONJ
ajase-5751	16	23	5	5	NUM
ajase-5751	16	24	%	%	NOUN
ajase-5751	16	25	to	to	PART
ajase-5751	16	26	tier	tier	NOUN
ajase-5751	16	27	2	2	NUM
ajase-5751	16	28	.	.	PUNCT
ajase-5751	16	29	tier	tier	NOUN
ajase-5751	16	30	3	3	NUM
ajase-5751	16	31	remains	remain	VERB
ajase-5751	16	32	voluntary	voluntary	ADJ
ajase-5751	16	33	.	.	PUNCT
ajase-5751	17	1	the	the	DET
ajase-5751	17	2	reform	reform	NOUN
ajase-5751	17	3	aimed	aim	VERB
ajase-5751	17	4	to	to	PART
ajase-5751	17	5	ensure	ensure	VERB
ajase-5751	17	6	income	income	NOUN
ajase-5751	17	7	stability	stability	NOUN
ajase-5751	17	8	for	for	ADP
ajase-5751	17	9	retirees	retiree	NOUN
ajase-5751	17	10	,	,	PUNCT
ajase-5751	17	11	harmonize	harmonize	VERB
ajase-5751	17	12	pension	pension	NOUN
ajase-5751	17	13	provisions	provision	NOUN
ajase-5751	17	14	across	across	ADP
ajase-5751	17	15	the	the	DET
ajase-5751	17	16	public	public	ADJ
ajase-5751	17	17	and	and	CCONJ
ajase-5751	17	18	private	private	ADJ
ajase-5751	17	19	sectors	sector	NOUN
ajase-5751	17	20	,	,	PUNCT
ajase-5751	17	21	and	and	CCONJ
ajase-5751	17	22	mobilize	mobilize	VERB
ajase-5751	17	23	long	long	ADJ
ajase-5751	17	24	-	-	PUNCT
ajase-5751	17	25	term	term	NOUN
ajase-5751	17	26	funds	fund	NOUN
ajase-5751	17	27	for	for	ADP
ajase-5751	17	28	national	national	ADJ
ajase-5751	17	29	development	development	NOUN
ajase-5751	17	30	.	.	PUNCT
ajase-5751	18	1	literature	literature	NOUN
ajase-5751	18	2	review	review	VERB
ajase-5751	18	3	theoretical	theoretical	ADJ
ajase-5751	18	4	review	review	NOUN
ajase-5751	18	5	life	life	NOUN
ajase-5751	18	6	-	-	PUNCT
ajase-5751	18	7	cycle	cycle	NOUN
ajase-5751	18	8	consumption	consumption	NOUN
ajase-5751	18	9	theory	theory	NOUN
ajase-5751	18	10	modigliani	modigliani	PROPN
ajase-5751	18	11	and	and	CCONJ
ajase-5751	18	12	brumberg	brumberg	PROPN
ajase-5751	18	13	’s	’s	PART
ajase-5751	18	14	(	(	PUNCT
ajase-5751	18	15	1954	1954	NUM
ajase-5751	18	16	)	)	PUNCT
ajase-5751	18	17	life	life	NOUN
ajase-5751	18	18	-	-	PUNCT
ajase-5751	18	19	cycle	cycle	NOUN
ajase-5751	18	20	hypothesis	hypothesis	NOUN
ajase-5751	18	21	provides	provide	VERB
ajase-5751	18	22	the	the	DET
ajase-5751	18	23	theoretical	theoretical	ADJ
ajase-5751	18	24	foundation	foundation	NOUN
ajase-5751	18	25	for	for	ADP
ajase-5751	18	26	pension	pension	NOUN
ajase-5751	18	27	systems	system	NOUN
ajase-5751	18	28	.	.	PUNCT
ajase-5751	19	1	it	it	PRON
ajase-5751	19	2	posits	posit	VERB
ajase-5751	19	3	that	that	SCONJ
ajase-5751	19	4	individuals	individual	NOUN
ajase-5751	19	5	plan	plan	VERB
ajase-5751	19	6	consumption	consumption	NOUN
ajase-5751	19	7	and	and	CCONJ
ajase-5751	19	8	savings	saving	NOUN
ajase-5751	19	9	over	over	ADP
ajase-5751	19	10	their	their	PRON
ajase-5751	19	11	lifetime	lifetime	NOUN
ajase-5751	19	12	to	to	PART
ajase-5751	19	13	smooth	smooth	VERB
ajase-5751	19	14	income	income	NOUN
ajase-5751	19	15	across	across	ADP
ajase-5751	19	16	working	working	NOUN
ajase-5751	19	17	and	and	CCONJ
ajase-5751	19	18	retirement	retirement	NOUN
ajase-5751	19	19	years	year	NOUN
ajase-5751	19	20	.	.	PUNCT
ajase-5751	20	1	without	without	ADP
ajase-5751	20	2	adequate	adequate	ADJ
ajase-5751	20	3	savings	saving	NOUN
ajase-5751	20	4	,	,	PUNCT
ajase-5751	20	5	retirees	retiree	NOUN
ajase-5751	20	6	may	may	AUX
ajase-5751	20	7	face	face	VERB
ajase-5751	20	8	income	income	NOUN
ajase-5751	20	9	insecurity	insecurity	NOUN
ajase-5751	20	10	.	.	PUNCT
ajase-5751	21	1	in	in	ADP
ajase-5751	21	2	ghana	ghana	PROPN
ajase-5751	21	3	,	,	PUNCT
ajase-5751	21	4	where	where	SCONJ
ajase-5751	21	5	extended	extended	ADJ
ajase-5751	21	6	family	family	NOUN
ajase-5751	21	7	support	support	NOUN
ajase-5751	21	8	systems	system	NOUN
ajase-5751	21	9	are	be	AUX
ajase-5751	21	10	weakening	weaken	VERB
ajase-5751	21	11	,	,	PUNCT
ajase-5751	21	12	the	the	DET
ajase-5751	21	13	theory	theory	NOUN
ajase-5751	21	14	underscores	underscore	VERB
ajase-5751	21	15	the	the	DET
ajase-5751	21	16	need	need	NOUN
ajase-5751	21	17	for	for	ADP
ajase-5751	21	18	deliberate	deliberate	ADJ
ajase-5751	21	19	retirement	retirement	NOUN
ajase-5751	21	20	planning	planning	NOUN
ajase-5751	21	21	.	.	PUNCT
ajase-5751	22	1	positive	positive	ADJ
ajase-5751	22	2	theory	theory	NOUN
ajase-5751	22	3	of	of	ADP
ajase-5751	22	4	social	social	ADJ
ajase-5751	22	5	security	security	NOUN
ajase-5751	22	6	according	accord	VERB
ajase-5751	22	7	to	to	ADP
ajase-5751	22	8	sala	sala	PROPN
ajase-5751	22	9	-	-	PUNCT
ajase-5751	22	10	i	i	PROPN
ajase-5751	22	11	-	-	PUNCT
ajase-5751	22	12	martin	martin	PROPN
ajase-5751	22	13	(	(	PUNCT
ajase-5751	22	14	1996	1996	NUM
ajase-5751	22	15	)	)	PUNCT
ajase-5751	22	16	and	and	CCONJ
ajase-5751	22	17	tabellini	tabellini	NOUN
ajase-5751	22	18	(	(	PUNCT
ajase-5751	22	19	2000	2000	NUM
ajase-5751	22	20	)	)	PUNCT
ajase-5751	22	21	,	,	PUNCT
ajase-5751	22	22	public	public	ADJ
ajase-5751	22	23	pensions	pension	NOUN
ajase-5751	22	24	improve	improve	VERB
ajase-5751	22	25	economic	economic	ADJ
ajase-5751	22	26	efficiency	efficiency	NOUN
ajase-5751	22	27	by	by	ADP
ajase-5751	22	28	enabling	enable	VERB
ajase-5751	22	29	older	old	ADJ
ajase-5751	22	30	workers	worker	NOUN
ajase-5751	22	31	to	to	PART
ajase-5751	22	32	retire	retire	VERB
ajase-5751	22	33	,	,	PUNCT
ajase-5751	22	34	thereby	thereby	ADV
ajase-5751	22	35	creating	create	VERB
ajase-5751	22	36	employment	employment	NOUN
ajase-5751	22	37	opportunities	opportunity	NOUN
ajase-5751	22	38	for	for	ADP
ajase-5751	22	39	younger	young	ADJ
ajase-5751	22	40	and	and	CCONJ
ajase-5751	22	41	more	more	ADV
ajase-5751	22	42	productive	productive	ADJ
ajase-5751	22	43	workers	worker	NOUN
ajase-5751	22	44	.	.	PUNCT
ajase-5751	23	1	verbon	verbon	NOUN
ajase-5751	23	2	(	(	PUNCT
ajase-5751	23	3	2012	2012	NUM
ajase-5751	23	4	)	)	PUNCT
ajase-5751	23	5	further	far	ADV
ajase-5751	23	6	argues	argue	VERB
ajase-5751	23	7	that	that	SCONJ
ajase-5751	23	8	pension	pension	NOUN
ajase-5751	23	9	systems	system	NOUN
ajase-5751	23	10	act	act	VERB
ajase-5751	23	11	as	as	ADP
ajase-5751	23	12	retirement	retirement	NOUN
ajase-5751	23	13	incentives	incentive	NOUN
ajase-5751	23	14	where	where	SCONJ
ajase-5751	23	15	significant	significant	ADJ
ajase-5751	23	16	productivity	productivity	NOUN
ajase-5751	23	17	gaps	gap	NOUN
ajase-5751	23	18	exist	exist	VERB
ajase-5751	23	19	between	between	ADP
ajase-5751	23	20	older	old	ADJ
ajase-5751	23	21	and	and	CCONJ
ajase-5751	23	22	younger	young	ADJ
ajase-5751	23	23	generations	generation	NOUN
ajase-5751	23	24	.	.	PUNCT
ajase-5751	24	1	pooling	pool	VERB
ajase-5751	24	2	theory	theory	NOUN
ajase-5751	24	3	allen	allen	NOUN
ajase-5751	24	4	and	and	CCONJ
ajase-5751	24	5	santomero	santomero	PROPN
ajase-5751	24	6	(	(	PUNCT
ajase-5751	24	7	1998	1998	NUM
ajase-5751	24	8	)	)	PUNCT
ajase-5751	24	9	highlight	highlight	VERB
ajase-5751	24	10	the	the	DET
ajase-5751	24	11	efficiency	efficiency	NOUN
ajase-5751	24	12	of	of	ADP
ajase-5751	24	13	pension	pension	NOUN
ajase-5751	24	14	schemes	scheme	NOUN
ajase-5751	24	15	in	in	ADP
ajase-5751	24	16	pooling	pool	VERB
ajase-5751	24	17	risks	risk	NOUN
ajase-5751	24	18	,	,	PUNCT
ajase-5751	24	19	reducing	reduce	VERB
ajase-5751	24	20	transaction	transaction	NOUN
ajase-5751	24	21	costs	cost	NOUN
ajase-5751	24	22	,	,	PUNCT
ajase-5751	24	23	and	and	CCONJ
ajase-5751	24	24	enhancing	enhance	VERB
ajase-5751	24	25	diversification	diversification	NOUN
ajase-5751	24	26	.	.	PUNCT
ajase-5751	25	1	by	by	ADP
ajase-5751	25	2	mobilizing	mobilize	VERB
ajase-5751	25	3	contributions	contribution	NOUN
ajase-5751	25	4	,	,	PUNCT
ajase-5751	25	5	pension	pension	NOUN
ajase-5751	25	6	funds	fund	NOUN
ajase-5751	25	7	achieve	achieve	VERB
ajase-5751	25	8	economies	economy	NOUN
ajase-5751	25	9	of	of	ADP
ajase-5751	25	10	scale	scale	NOUN
ajase-5751	25	11	and	and	CCONJ
ajase-5751	25	12	improved	improve	VERB
ajase-5751	25	13	investment	investment	NOUN
ajase-5751	25	14	outcomes	outcome	NOUN
ajase-5751	25	15	(	(	PUNCT
ajase-5751	25	16	matheson	matheson	PROPN
ajase-5751	25	17	et	et	PROPN
ajase-5751	25	18	al	al	PROPN
ajase-5751	25	19	.	.	PROPN
ajase-5751	25	20	,	,	PUNCT
ajase-5751	25	21	2004	2004	NUM
ajase-5751	25	22	;	;	PUNCT
ajase-5751	25	23	bridgen	bridgen	PROPN
ajase-5751	25	24	&	&	CCONJ
ajase-5751	25	25	meyer	meyer	PROPN
ajase-5751	25	26	,	,	PUNCT
ajase-5751	25	27	2008	2008	NUM
ajase-5751	25	28	)	)	PUNCT
ajase-5751	25	29	.	.	PUNCT
ajase-5751	26	1	pa	pa	PROPN
ajase-5751	26	2	ge	ge	PROPN
ajase-5751	26	3	11	11	NUM
ajase-5751	26	4	3	3	NUM
ajase-5751	26	5	https://journals.e-palli.com/home/index.php/ajase	https://journals.e-palli.com/home/index.php/ajase	PROPN
ajase-5751	26	6	am	am	NOUN
ajase-5751	26	7	.	.	PUNCT
ajase-5751	27	1	j.	j.	PROPN
ajase-5751	27	2	appl	appl	PROPN
ajase-5751	27	3	.	.	PROPN
ajase-5751	28	1	stat	stat	PROPN
ajase-5751	28	2	.	.	PUNCT
ajase-5751	29	1	econ	econ	PROPN
ajase-5751	29	2	.	.	PUNCT
ajase-5751	30	1	4(1	4(1	X
ajase-5751	30	2	)	)	PUNCT
ajase-5751	31	1	112	112	NUM
ajase-5751	31	2	-	-	SYM
ajase-5751	31	3	118	118	NUM
ajase-5751	31	4	,	,	PUNCT
ajase-5751	31	5	2025	2025	NUM
ajase-5751	31	6	three	three	NUM
ajase-5751	31	7	-	-	PUNCT
ajase-5751	31	8	tier	tier	NOUN
ajase-5751	31	9	pension	pension	NOUN
ajase-5751	31	10	scheme	scheme	NOUN
ajase-5751	31	11	act	act	NOUN
ajase-5751	31	12	766	766	NUM
ajase-5751	31	13	structures	structure	NOUN
ajase-5751	31	14	pensions	pension	NOUN
ajase-5751	31	15	into	into	ADP
ajase-5751	31	16	three	three	NUM
ajase-5751	31	17	tiers	tier	NOUN
ajase-5751	31	18	:	:	PUNCT
ajase-5751	31	19	the	the	DET
ajase-5751	31	20	basic	basic	ADJ
ajase-5751	31	21	mandatory	mandatory	ADJ
ajase-5751	31	22	scheme	scheme	NOUN
ajase-5751	31	23	(	(	PUNCT
ajase-5751	31	24	tier	tier	NOUN
ajase-5751	31	25	1	1	NUM
ajase-5751	31	26	)	)	PUNCT
ajase-5751	31	27	,	,	PUNCT
ajase-5751	31	28	the	the	DET
ajase-5751	31	29	mandatory	mandatory	ADJ
ajase-5751	31	30	occupational	occupational	ADJ
ajase-5751	31	31	scheme	scheme	NOUN
ajase-5751	31	32	(	(	PUNCT
ajase-5751	31	33	tier	tier	NOUN
ajase-5751	31	34	2	2	NUM
ajase-5751	31	35	)	)	PUNCT
ajase-5751	31	36	,	,	PUNCT
ajase-5751	31	37	and	and	CCONJ
ajase-5751	31	38	the	the	DET
ajase-5751	31	39	voluntary	voluntary	ADJ
ajase-5751	31	40	provident/	provident/	NUM
ajase-5751	31	41	personal	personal	ADJ
ajase-5751	31	42	pension	pension	NOUN
ajase-5751	31	43	scheme	scheme	NOUN
ajase-5751	31	44	(	(	PUNCT
ajase-5751	31	45	tier	tier	NOUN
ajase-5751	31	46	3	3	NUM
ajase-5751	31	47	)	)	PUNCT
ajase-5751	31	48	.	.	PUNCT
ajase-5751	32	1	of	of	ADP
ajase-5751	32	2	the	the	DET
ajase-5751	32	3	18.5	18.5	NUM
ajase-5751	32	4	%	%	NOUN
ajase-5751	32	5	total	total	NOUN
ajase-5751	32	6	contribution	contribution	NOUN
ajase-5751	32	7	,	,	PUNCT
ajase-5751	32	8	ssnit	ssnit	NOUN
ajase-5751	32	9	retains	retain	VERB
ajase-5751	32	10	11	11	NUM
ajase-5751	32	11	%	%	NOUN
ajase-5751	32	12	for	for	ADP
ajase-5751	32	13	retirement	retirement	NOUN
ajase-5751	32	14	benefits	benefit	NOUN
ajase-5751	32	15	and	and	CCONJ
ajase-5751	32	16	transfers	transfer	NOUN
ajase-5751	32	17	2.5	2.5	NUM
ajase-5751	32	18	%	%	NOUN
ajase-5751	32	19	to	to	ADP
ajase-5751	32	20	the	the	DET
ajase-5751	32	21	national	national	PROPN
ajase-5751	32	22	health	health	PROPN
ajase-5751	32	23	insurance	insurance	NOUN
ajase-5751	32	24	scheme	scheme	NOUN
ajase-5751	32	25	.	.	PUNCT
ajase-5751	33	1	the	the	DET
ajase-5751	33	2	remaining	remain	VERB
ajase-5751	33	3	5	5	NUM
ajase-5751	33	4	%	%	NOUN
ajase-5751	33	5	is	be	AUX
ajase-5751	33	6	invested	invest	VERB
ajase-5751	33	7	by	by	ADP
ajase-5751	33	8	tier	tier	NOUN
ajase-5751	33	9	2	2	NUM
ajase-5751	33	10	trustees	trustee	NOUN
ajase-5751	33	11	.	.	PUNCT
ajase-5751	34	1	self	self	NOUN
ajase-5751	34	2	-	-	PUNCT
ajase-5751	34	3	employed	employ	VERB
ajase-5751	34	4	individuals	individual	NOUN
ajase-5751	34	5	may	may	AUX
ajase-5751	34	6	voluntarily	voluntarily	ADV
ajase-5751	34	7	participate	participate	VERB
ajase-5751	34	8	in	in	ADP
ajase-5751	34	9	tier	tier	NOUN
ajase-5751	34	10	3	3	NUM
ajase-5751	34	11	,	,	PUNCT
ajase-5751	34	12	though	though	SCONJ
ajase-5751	34	13	participation	participation	NOUN
ajase-5751	34	14	levels	level	NOUN
ajase-5751	34	15	remain	remain	VERB
ajase-5751	34	16	low	low	ADJ
ajase-5751	34	17	.	.	PUNCT
ajase-5751	35	1	empirical	empirical	ADJ
ajase-5751	35	2	review	review	PROPN
ajase-5751	35	3	ghana	ghana	PROPN
ajase-5751	35	4	’s	’s	PART
ajase-5751	35	5	pension	pension	NOUN
ajase-5751	35	6	system	system	NOUN
ajase-5751	35	7	has	have	AUX
ajase-5751	35	8	evolved	evolve	VERB
ajase-5751	35	9	since	since	SCONJ
ajase-5751	35	10	the	the	DET
ajase-5751	35	11	colonial	colonial	ADJ
ajase-5751	35	12	era	era	NOUN
ajase-5751	35	13	,	,	PUNCT
ajase-5751	35	14	beginning	begin	VERB
ajase-5751	35	15	with	with	ADP
ajase-5751	35	16	the	the	DET
ajase-5751	35	17	workmen	workman	NOUN
ajase-5751	35	18	’s	’s	PART
ajase-5751	35	19	compensation	compensation	NOUN
ajase-5751	35	20	ordinance	ordinance	NOUN
ajase-5751	35	21	of	of	ADP
ajase-5751	35	22	1940	1940	NUM
ajase-5751	35	23	and	and	CCONJ
ajase-5751	35	24	the	the	DET
ajase-5751	35	25	non	non	ADJ
ajase-5751	35	26	-	-	ADJ
ajase-5751	35	27	contributory	contributory	ADJ
ajase-5751	35	28	pension	pension	NOUN
ajase-5751	35	29	ordinance	ordinance	NOUN
ajase-5751	35	30	of	of	ADP
ajase-5751	35	31	1950	1950	NUM
ajase-5751	35	32	for	for	ADP
ajase-5751	35	33	civil	civil	ADJ
ajase-5751	35	34	servants	servant	NOUN
ajase-5751	35	35	(	(	PUNCT
ajase-5751	35	36	darkwa	darkwa	PROPN
ajase-5751	35	37	,	,	PUNCT
ajase-5751	35	38	2007	2007	NUM
ajase-5751	35	39	;	;	PUNCT
ajase-5751	35	40	npra	npra	NOUN
ajase-5751	35	41	,	,	PUNCT
ajase-5751	35	42	2010	2010	NUM
ajase-5751	35	43	)	)	PUNCT
ajase-5751	35	44	.	.	PUNCT
ajase-5751	36	1	over	over	ADP
ajase-5751	36	2	time	time	NOUN
ajase-5751	36	3	,	,	PUNCT
ajase-5751	36	4	reforms	reform	NOUN
ajase-5751	36	5	have	have	AUX
ajase-5751	36	6	sought	seek	VERB
ajase-5751	36	7	to	to	PART
ajase-5751	36	8	address	address	VERB
ajase-5751	36	9	sustainability	sustainability	NOUN
ajase-5751	36	10	,	,	PUNCT
ajase-5751	36	11	adequacy	adequacy	NOUN
ajase-5751	36	12	,	,	PUNCT
ajase-5751	36	13	and	and	CCONJ
ajase-5751	36	14	coverage	coverage	NOUN
ajase-5751	36	15	gaps	gap	NOUN
ajase-5751	36	16	.	.	PUNCT
ajase-5751	37	1	kpessa	kpessa	NOUN
ajase-5751	37	2	(	(	PUNCT
ajase-5751	37	3	2011	2011	NUM
ajase-5751	37	4	)	)	PUNCT
ajase-5751	37	5	observes	observe	VERB
ajase-5751	37	6	that	that	SCONJ
ajase-5751	37	7	pensions	pension	NOUN
ajase-5751	37	8	in	in	ADP
ajase-5751	37	9	africa	africa	PROPN
ajase-5751	37	10	play	play	VERB
ajase-5751	37	11	a	a	DET
ajase-5751	37	12	crucial	crucial	ADJ
ajase-5751	37	13	role	role	NOUN
ajase-5751	37	14	in	in	ADP
ajase-5751	37	15	alleviating	alleviate	VERB
ajase-5751	37	16	poverty	poverty	NOUN
ajase-5751	37	17	among	among	ADP
ajase-5751	37	18	the	the	DET
ajase-5751	37	19	elderly	elderly	ADJ
ajase-5751	37	20	and	and	CCONJ
ajase-5751	37	21	supporting	support	VERB
ajase-5751	37	22	households	household	NOUN
ajase-5751	37	23	under	under	ADP
ajase-5751	37	24	demographic	demographic	ADJ
ajase-5751	37	25	pressure	pressure	NOUN
ajase-5751	37	26	.	.	PUNCT
ajase-5751	38	1	similarly	similarly	ADV
ajase-5751	38	2	,	,	PUNCT
ajase-5751	38	3	agnew	agnew	PROPN
ajase-5751	38	4	(	(	PUNCT
ajase-5751	38	5	2013	2013	NUM
ajase-5751	38	6	)	)	PUNCT
ajase-5751	38	7	notes	note	VERB
ajase-5751	38	8	that	that	SCONJ
ajase-5751	38	9	pensions	pension	NOUN
ajase-5751	38	10	provide	provide	VERB
ajase-5751	38	11	stable	stable	ADJ
ajase-5751	38	12	income	income	NOUN
ajase-5751	38	13	for	for	ADP
ajase-5751	38	14	the	the	DET
ajase-5751	38	15	aged	aged	ADJ
ajase-5751	38	16	,	,	PUNCT
ajase-5751	38	17	disabled	disabled	ADJ
ajase-5751	38	18	,	,	PUNCT
ajase-5751	38	19	and	and	CCONJ
ajase-5751	38	20	unemployed	unemployed	ADJ
ajase-5751	38	21	.	.	PUNCT
ajase-5751	39	1	however	however	ADV
ajase-5751	39	2	,	,	PUNCT
ajase-5751	39	3	fiiwe	fiiwe	NOUN
ajase-5751	39	4	(	(	PUNCT
ajase-5751	39	5	2020	2020	NUM
ajase-5751	39	6	)	)	PUNCT
ajase-5751	39	7	highlights	highlight	NOUN
ajase-5751	39	8	shortcomings	shortcoming	NOUN
ajase-5751	39	9	in	in	ADP
ajase-5751	39	10	benefit	benefit	NOUN
ajase-5751	39	11	packages	package	NOUN
ajase-5751	39	12	,	,	PUNCT
ajase-5751	39	13	particularly	particularly	ADV
ajase-5751	39	14	the	the	DET
ajase-5751	39	15	absence	absence	NOUN
ajase-5751	39	16	of	of	ADP
ajase-5751	39	17	post	post	ADJ
ajase-5751	39	18	-	-	ADJ
ajase-5751	39	19	retirement	retirement	ADJ
ajase-5751	39	20	healthcare	healthcare	NOUN
ajase-5751	39	21	,	,	PUNCT
ajase-5751	39	22	housing	housing	NOUN
ajase-5751	39	23	,	,	PUNCT
ajase-5751	39	24	and	and	CCONJ
ajase-5751	39	25	entrepreneurial	entrepreneurial	ADJ
ajase-5751	39	26	support	support	NOUN
ajase-5751	39	27	,	,	PUNCT
ajase-5751	39	28	which	which	PRON
ajase-5751	39	29	limit	limit	VERB
ajase-5751	39	30	retirees	retiree	NOUN
ajase-5751	39	31	’	'	PUNCT
ajase-5751	39	32	welfare	welfare	NOUN
ajase-5751	39	33	.	.	PUNCT
ajase-5751	40	1	international	international	ADJ
ajase-5751	40	2	evidence	evidence	NOUN
ajase-5751	40	3	shows	show	VERB
ajase-5751	40	4	similar	similar	ADJ
ajase-5751	40	5	trends	trend	NOUN
ajase-5751	40	6	.	.	PUNCT
ajase-5751	41	1	in	in	ADP
ajase-5751	41	2	the	the	DET
ajase-5751	41	3	united	united	PROPN
ajase-5751	41	4	states	states	PROPN
ajase-5751	41	5	,	,	PUNCT
ajase-5751	41	6	private	private	ADJ
ajase-5751	41	7	pension	pension	NOUN
ajase-5751	41	8	schemes	scheme	NOUN
ajase-5751	41	9	date	date	VERB
ajase-5751	41	10	back	back	ADV
ajase-5751	41	11	to	to	ADP
ajase-5751	41	12	1857	1857	NUM
ajase-5751	41	13	,	,	PUNCT
ajase-5751	41	14	with	with	ADP
ajase-5751	41	15	american	american	PROPN
ajase-5751	41	16	express	express	ADJ
ajase-5751	41	17	pioneering	pioneer	VERB
ajase-5751	41	18	corporate	corporate	ADJ
ajase-5751	41	19	pensions	pension	NOUN
ajase-5751	41	20	in	in	ADP
ajase-5751	41	21	1878	1878	NUM
ajase-5751	41	22	(	(	PUNCT
ajase-5751	41	23	bond	bond	NOUN
ajase-5751	41	24	,	,	PUNCT
ajase-5751	41	25	2017	2017	NUM
ajase-5751	41	26	)	)	PUNCT
ajase-5751	41	27	.	.	PUNCT
ajase-5751	42	1	pension	pension	NOUN
ajase-5751	42	2	benefits	benefit	NOUN
ajase-5751	42	3	gained	gain	VERB
ajase-5751	42	4	popularity	popularity	NOUN
ajase-5751	42	5	during	during	ADP
ajase-5751	42	6	world	world	PROPN
ajase-5751	42	7	war	war	PROPN
ajase-5751	42	8	ii	ii	PROPN
ajase-5751	42	9	as	as	SCONJ
ajase-5751	42	10	firms	firm	NOUN
ajase-5751	42	11	used	use	VERB
ajase-5751	42	12	them	they	PRON
ajase-5751	42	13	to	to	PART
ajase-5751	42	14	retain	retain	VERB
ajase-5751	42	15	workers	worker	NOUN
ajase-5751	42	16	amidst	amidst	ADP
ajase-5751	42	17	wage	wage	NOUN
ajase-5751	42	18	freezes	freeze	NOUN
ajase-5751	42	19	(	(	PUNCT
ajase-5751	42	20	pradmin	pradmin	NOUN
ajase-5751	42	21	,	,	PUNCT
ajase-5751	42	22	n.d	n.d	PROPN
ajase-5751	42	23	.	.	PROPN
ajase-5751	42	24	)	)	PUNCT
ajase-5751	42	25	.	.	PUNCT
ajase-5751	43	1	informal	informal	ADJ
ajase-5751	43	2	sector	sector	NOUN
ajase-5751	43	3	participation	participation	NOUN
ajase-5751	43	4	a	a	DET
ajase-5751	43	5	major	major	ADJ
ajase-5751	43	6	challenge	challenge	NOUN
ajase-5751	43	7	in	in	ADP
ajase-5751	43	8	ghana	ghana	PROPN
ajase-5751	43	9	is	be	AUX
ajase-5751	43	10	extending	extend	VERB
ajase-5751	43	11	pension	pension	NOUN
ajase-5751	43	12	coverage	coverage	NOUN
ajase-5751	43	13	to	to	ADP
ajase-5751	43	14	the	the	DET
ajase-5751	43	15	large	large	ADJ
ajase-5751	43	16	informal	informal	ADJ
ajase-5751	43	17	sector	sector	NOUN
ajase-5751	43	18	.	.	PUNCT
ajase-5751	44	1	although	although	SCONJ
ajase-5751	44	2	act	act	NOUN
ajase-5751	44	3	766	766	NUM
ajase-5751	44	4	permits	permit	VERB
ajase-5751	44	5	voluntary	voluntary	ADJ
ajase-5751	44	6	participation	participation	NOUN
ajase-5751	44	7	through	through	ADP
ajase-5751	44	8	tier	tier	NOUN
ajase-5751	44	9	3	3	NUM
ajase-5751	44	10	,	,	PUNCT
ajase-5751	44	11	awareness	awareness	NOUN
ajase-5751	44	12	and	and	CCONJ
ajase-5751	44	13	enrollment	enrollment	NOUN
ajase-5751	44	14	remain	remain	VERB
ajase-5751	44	15	limited	limited	ADJ
ajase-5751	44	16	.	.	PUNCT
ajase-5751	45	1	a	a	DET
ajase-5751	45	2	survey	survey	NOUN
ajase-5751	45	3	of	of	ADP
ajase-5751	45	4	self	self	NOUN
ajase-5751	45	5	-	-	PUNCT
ajase-5751	45	6	employed	employ	VERB
ajase-5751	45	7	workers	worker	NOUN
ajase-5751	45	8	revealed	reveal	VERB
ajase-5751	45	9	that	that	SCONJ
ajase-5751	45	10	over	over	ADP
ajase-5751	45	11	70	70	NUM
ajase-5751	45	12	%	%	NOUN
ajase-5751	45	13	were	be	AUX
ajase-5751	45	14	unaware	unaware	ADJ
ajase-5751	45	15	of	of	ADP
ajase-5751	45	16	the	the	DET
ajase-5751	45	17	scheme	scheme	NOUN
ajase-5751	45	18	,	,	PUNCT
ajase-5751	45	19	while	while	SCONJ
ajase-5751	45	20	many	many	ADJ
ajase-5751	45	21	who	who	PRON
ajase-5751	45	22	had	have	VERB
ajase-5751	45	23	knowledge	knowledge	NOUN
ajase-5751	45	24	of	of	ADP
ajase-5751	45	25	it	it	PRON
ajase-5751	45	26	contributed	contribute	VERB
ajase-5751	45	27	irregularly	irregularly	ADV
ajase-5751	45	28	due	due	ADJ
ajase-5751	45	29	to	to	ADP
ajase-5751	45	30	unstable	unstable	ADJ
ajase-5751	45	31	incomes	income	NOUN
ajase-5751	45	32	.	.	PUNCT
ajase-5751	46	1	this	this	DET
ajase-5751	46	2	highlights	highlight	VERB
ajase-5751	46	3	the	the	DET
ajase-5751	46	4	need	need	NOUN
ajase-5751	46	5	for	for	ADP
ajase-5751	46	6	greater	great	ADJ
ajase-5751	46	7	education	education	NOUN
ajase-5751	46	8	,	,	PUNCT
ajase-5751	46	9	flexible	flexible	ADJ
ajase-5751	46	10	contribution	contribution	NOUN
ajase-5751	46	11	options	option	NOUN
ajase-5751	46	12	,	,	PUNCT
ajase-5751	46	13	and	and	CCONJ
ajase-5751	46	14	innovative	innovative	ADJ
ajase-5751	46	15	pension	pension	NOUN
ajase-5751	46	16	products	product	NOUN
ajase-5751	46	17	tailored	tailor	VERB
ajase-5751	46	18	to	to	ADP
ajase-5751	46	19	informal	informal	ADJ
ajase-5751	46	20	sector	sector	NOUN
ajase-5751	46	21	workers	worker	NOUN
ajase-5751	46	22	.	.	PUNCT
ajase-5751	47	1	conceptual	conceptual	ADJ
ajase-5751	47	2	framework	framework	NOUN
ajase-5751	47	3	of	of	ADP
ajase-5751	47	4	the	the	DET
ajase-5751	47	5	ghana	ghana	PROPN
ajase-5751	47	6	pension	pension	NOUN
ajase-5751	47	7	system	system	NOUN
ajase-5751	47	8	figure	figure	NOUN
ajase-5751	47	9	1	1	NUM
ajase-5751	47	10	:	:	PUNCT
ajase-5751	47	11	conceptual	conceptual	ADJ
ajase-5751	47	12	framework	framework	NOUN
ajase-5751	47	13	:	:	PUNCT
ajase-5751	47	14	pension	pension	NOUN
ajase-5751	47	15	theories	theory	NOUN
ajase-5751	47	16	and	and	CCONJ
ajase-5751	47	17	ghana	ghana	PROPN
ajase-5751	47	18	’s	’s	PART
ajase-5751	47	19	three	three	NUM
ajase-5751	47	20	-	-	PUNCT
ajase-5751	47	21	tier	tier	NOUN
ajase-5751	47	22	scheme	scheme	NOUN
ajase-5751	47	23	materials	material	NOUN
ajase-5751	47	24	and	and	CCONJ
ajase-5751	47	25	methods	method	NOUN
ajase-5751	47	26	data	datum	NOUN
ajase-5751	47	27	collection	collection	NOUN
ajase-5751	47	28	the	the	DET
ajase-5751	47	29	study	study	NOUN
ajase-5751	47	30	utilized	utilize	VERB
ajase-5751	47	31	secondary	secondary	ADJ
ajase-5751	47	32	data	datum	NOUN
ajase-5751	47	33	for	for	ADP
ajase-5751	47	34	the	the	DET
ajase-5751	47	35	predictive	predictive	ADJ
ajase-5751	47	36	modeling	modeling	NOUN
ajase-5751	47	37	of	of	ADP
ajase-5751	47	38	the	the	DET
ajase-5751	47	39	contributory	contributory	NOUN
ajase-5751	47	40	pension	pension	NOUN
ajase-5751	47	41	assets	asset	NOUN
ajase-5751	47	42	under	under	ADP
ajase-5751	47	43	management	management	NOUN
ajase-5751	47	44	of	of	ADP
ajase-5751	47	45	private	private	ADJ
ajase-5751	47	46	sector	sector	NOUN
ajase-5751	47	47	in	in	ADP
ajase-5751	47	48	ghana	ghana	PROPN
ajase-5751	47	49	.	.	PUNCT
ajase-5751	48	1	for	for	ADP
ajase-5751	48	2	this	this	DET
ajase-5751	48	3	study	study	NOUN
ajase-5751	48	4	,	,	PUNCT
ajase-5751	48	5	we	we	PRON
ajase-5751	48	6	collected	collect	VERB
ajase-5751	48	7	a	a	DET
ajase-5751	48	8	time	time	NOUN
ajase-5751	48	9	series	series	NOUN
ajase-5751	48	10	of	of	ADP
ajase-5751	48	11	aum	aum	PROPN
ajase-5751	48	12	of	of	ADP
ajase-5751	48	13	private	private	ADJ
ajase-5751	48	14	sector	sector	NOUN
ajase-5751	48	15	pensions	pension	NOUN
ajase-5751	48	16	industry	industry	NOUN
ajase-5751	48	17	from	from	ADP
ajase-5751	48	18	the	the	DET
ajase-5751	48	19	national	national	ADJ
ajase-5751	48	20	pensions	pension	NOUN
ajase-5751	48	21	and	and	CCONJ
ajase-5751	48	22	regulatory	regulatory	ADJ
ajase-5751	48	23	authority	authority	NOUN
ajase-5751	48	24	(	(	PUNCT
ajase-5751	48	25	npra	npra	ADJ
ajase-5751	48	26	)	)	PUNCT
ajase-5751	48	27	annual	annual	ADJ
ajase-5751	48	28	reports	report	NOUN
ajase-5751	48	29	from	from	ADP
ajase-5751	48	30	2012	2012	NUM
ajase-5751	48	31	to	to	ADP
ajase-5751	48	32	2023	2023	NUM
ajase-5751	48	33	.	.	PUNCT
ajase-5751	49	1	statistical	statistical	ADJ
ajase-5751	49	2	analysis	analysis	NOUN
ajase-5751	49	3	tool	tool	NOUN
ajase-5751	49	4	the	the	DET
ajase-5751	49	5	study	study	NOUN
ajase-5751	49	6	employed	employ	VERB
ajase-5751	49	7	time	time	NOUN
ajase-5751	49	8	series	series	PROPN
ajase-5751	49	9	statistical	statistical	ADJ
ajase-5751	49	10	technique	technique	NOUN
ajase-5751	49	11	to	to	PART
ajase-5751	49	12	analyze	analyze	VERB
ajase-5751	49	13	trends	trend	NOUN
ajase-5751	49	14	over	over	ADP
ajase-5751	49	15	time	time	NOUN
ajase-5751	49	16	and	and	CCONJ
ajase-5751	49	17	forecast	forecast	VERB
ajase-5751	49	18	future	future	ADJ
ajase-5751	49	19	pension	pension	NOUN
ajase-5751	49	20	aum	aum	NOUN
ajase-5751	49	21	growth	growth	NOUN
ajase-5751	49	22	in	in	ADP
ajase-5751	49	23	ghana	ghana	PROPN
ajase-5751	49	24	’s	’s	PART
ajase-5751	49	25	private	private	ADJ
ajase-5751	49	26	sector	sector	NOUN
ajase-5751	49	27	and	and	CCONJ
ajase-5751	49	28	the	the	DET
ajase-5751	49	29	analysis	analysis	NOUN
ajase-5751	49	30	was	be	AUX
ajase-5751	49	31	done	do	VERB
ajase-5751	49	32	using	use	VERB
ajase-5751	49	33	python	python	NOUN
ajase-5751	49	34	programming	programming	NOUN
ajase-5751	49	35	.	.	PUNCT
ajase-5751	50	1	the	the	DET
ajase-5751	50	2	study	study	NOUN
ajase-5751	50	3	employed	employ	VERB
ajase-5751	50	4	autoregressive	autoregressive	ADJ
ajase-5751	50	5	integrated	integrated	ADJ
ajase-5751	50	6	moving	move	VERB
ajase-5751	50	7	average	average	ADJ
ajase-5751	50	8	(	(	PUNCT
ajase-5751	50	9	arima	arima	NOUN
ajase-5751	50	10	)	)	PUNCT
ajase-5751	50	11	and	and	CCONJ
ajase-5751	50	12	sarimax	sarimax	VERB
ajase-5751	50	13	to	to	PART
ajase-5751	50	14	analyze	analyze	VERB
ajase-5751	50	15	the	the	DET
ajase-5751	50	16	contributory	contributory	NOUN
ajase-5751	50	17	trend	trend	NOUN
ajase-5751	50	18	over	over	ADP
ajase-5751	50	19	the	the	DET
ajase-5751	50	20	period	period	NOUN
ajase-5751	50	21	(	(	PUNCT
ajase-5751	50	22	2012	2012	NUM
ajase-5751	50	23	-	-	SYM
ajase-5751	50	24	2023	2023	NUM
ajase-5751	50	25	)	)	PUNCT
ajase-5751	50	26	.	.	PUNCT
ajase-5751	51	1	sample	sample	NOUN
ajase-5751	51	2	size	size	NOUN
ajase-5751	51	3	the	the	DET
ajase-5751	51	4	sample	sample	NOUN
ajase-5751	51	5	size	size	NOUN
ajase-5751	51	6	for	for	ADP
ajase-5751	51	7	the	the	DET
ajase-5751	51	8	study	study	NOUN
ajase-5751	51	9	comprised	comprise	VERB
ajase-5751	51	10	of	of	ADP
ajase-5751	51	11	817	817	NUM
ajase-5751	51	12	pensions	pension	NOUN
ajase-5751	51	13	trustees	trustee	NOUN
ajase-5751	51	14	in	in	ADP
ajase-5751	51	15	ghana	ghana	PROPN
ajase-5751	51	16	autoregressive	autoregressive	ADJ
ajase-5751	51	17	integrated	integrated	ADJ
ajase-5751	51	18	moving	move	VERB
ajase-5751	51	19	average	average	ADJ
ajase-5751	51	20	(	(	PUNCT
ajase-5751	51	21	arima	arima	PROPN
ajase-5751	51	22	)	)	PUNCT
ajase-5751	51	23	the	the	DET
ajase-5751	51	24	auto	auto	NOUN
ajase-5751	51	25	-	-	PUNCT
ajase-5751	51	26	regressive	regressive	ADJ
ajase-5751	51	27	integrated	integrated	ADJ
ajase-5751	51	28	moving	move	VERB
ajase-5751	51	29	average	average	ADJ
ajase-5751	51	30	(	(	PUNCT
ajase-5751	51	31	arima	arima	PROPN
ajase-5751	51	32	)	)	PUNCT
ajase-5751	51	33	model	model	NOUN
ajase-5751	51	34	is	be	AUX
ajase-5751	51	35	one	one	NUM
ajase-5751	51	36	of	of	ADP
ajase-5751	51	37	the	the	DET
ajase-5751	51	38	most	most	ADV
ajase-5751	51	39	common	common	ADJ
ajase-5751	51	40	prediction	prediction	NOUN
ajase-5751	51	41	models	model	NOUN
ajase-5751	51	42	,	,	PUNCT
ajase-5751	51	43	which	which	PRON
ajase-5751	51	44	is	be	AUX
ajase-5751	51	45	a	a	DET
ajase-5751	51	46	time	time	NOUN
ajase-5751	51	47	series	series	NOUN
ajase-5751	51	48	analysis	analysis	NOUN
ajase-5751	51	49	tool	tool	NOUN
ajase-5751	51	50	raised	raise	VERB
ajase-5751	51	51	in	in	ADP
ajase-5751	51	52	the	the	DET
ajase-5751	51	53	1970s	1970	NOUN
ajase-5751	51	54	.	.	PUNCT
ajase-5751	52	1	it	it	PRON
ajase-5751	52	2	is	be	AUX
ajase-5751	52	3	a	a	DET
ajase-5751	52	4	time	time	NOUN
ajase-5751	52	5	series	series	NOUN
ajase-5751	52	6	prediction	prediction	NOUN
ajase-5751	52	7	model	model	NOUN
ajase-5751	52	8	based	base	VERB
ajase-5751	52	9	on	on	ADP
ajase-5751	52	10	the	the	DET
ajase-5751	52	11	fitting	fitting	ADJ
ajase-5751	52	12	value	value	NOUN
ajase-5751	52	13	of	of	ADP
ajase-5751	52	14	the	the	DET
ajase-5751	52	15	past	past	ADJ
ajase-5751	52	16	data	data	NOUN
ajase-5751	52	17	sequence	sequence	NOUN
ajase-5751	52	18	to	to	PART
ajase-5751	52	19	extrapolate	extrapolate	VERB
ajase-5751	52	20	into	into	ADP
ajase-5751	52	21	future	future	NOUN
ajase-5751	52	22	.	.	PUNCT
ajase-5751	53	1	it	it	PRON
ajase-5751	53	2	has	have	VERB
ajase-5751	53	3	5	5	NUM
ajase-5751	53	4	expressions	expression	NOUN
ajase-5751	53	5	:	:	PUNCT
ajase-5751	53	6	ar(p	ar(p	NUM
ajase-5751	53	7	)	)	PUNCT
ajase-5751	53	8	,	,	PUNCT
ajase-5751	53	9	ma(q	ma(q	NOUN
ajase-5751	53	10	)	)	PUNCT
ajase-5751	53	11	,	,	PUNCT
ajase-5751	53	12	arma	arma	PROPN
ajase-5751	53	13	(	(	PUNCT
ajase-5751	53	14	p	p	X
ajase-5751	53	15	,	,	PUNCT
ajase-5751	53	16	q	q	NOUN
ajase-5751	53	17	)	)	PUNCT
ajase-5751	53	18	,	,	PUNCT
ajase-5751	53	19	arima	arima	PROPN
ajase-5751	53	20	(	(	PUNCT
ajase-5751	53	21	p	p	X
ajase-5751	53	22	,	,	PUNCT
ajase-5751	53	23	d	d	NOUN
ajase-5751	53	24	,	,	PUNCT
ajase-5751	53	25	q	q	NOUN
ajase-5751	53	26	)	)	PUNCT
ajase-5751	53	27	,	,	PUNCT
ajase-5751	53	28	arima	arima	PROPN
ajase-5751	53	29	(	(	PUNCT
ajase-5751	53	30	p	p	X
ajase-5751	53	31	,	,	PUNCT
ajase-5751	53	32	d	d	NOUN
ajase-5751	53	33	,	,	PUNCT
ajase-5751	53	34	q	q	ADJ
ajase-5751	53	35	)	)	PUNCT
ajase-5751	53	36	×	×	NOUN
ajase-5751	53	37	(	(	PUNCT
ajase-5751	53	38	p	p	X
ajase-5751	53	39	,	,	PUNCT
ajase-5751	53	40	d	d	PROPN
ajase-5751	53	41	,	,	PUNCT
ajase-5751	53	42	q)s	q)s	VERB
ajase-5751	53	43	the	the	DET
ajase-5751	53	44	autoregressive	autoregressive	ADJ
ajase-5751	53	45	integrated	integrated	ADJ
ajase-5751	53	46	moving	move	VERB
ajase-5751	53	47	average	average	ADJ
ajase-5751	53	48	(	(	PUNCT
ajase-5751	53	49	arima	arima	PROPN
ajase-5751	53	50	)	)	PUNCT
ajase-5751	53	51	model	model	NOUN
ajase-5751	53	52	is	be	AUX
ajase-5751	53	53	a	a	DET
ajase-5751	53	54	combination	combination	NOUN
ajase-5751	53	55	of	of	ADP
ajase-5751	53	56	the	the	DET
ajase-5751	53	57	differenced	difference	VERB
ajase-5751	53	58	autoregressive	autoregressive	ADJ
ajase-5751	53	59	model	model	NOUN
ajase-5751	53	60	with	with	ADP
ajase-5751	53	61	the	the	DET
ajase-5751	53	62	moving	move	VERB
ajase-5751	53	63	average	average	ADJ
ajase-5751	53	64	model	model	NOUN
ajase-5751	53	65	.	.	PUNCT
ajase-5751	54	1	arima	arima	PROPN
ajase-5751	54	2	model	model	NOUN
ajase-5751	54	3	is	be	AUX
ajase-5751	54	4	said	say	VERB
ajase-5751	54	5	to	to	PART
ajase-5751	54	6	be	be	AUX
ajase-5751	54	7	a	a	DET
ajase-5751	54	8	unit	unit	NOUN
ajase-5751	54	9	-	-	PUNCT
ajase-5751	54	10	root	root	NOUN
ajase-5751	54	11	non	non	ADJ
ajase-5751	54	12	stationary	stationary	NOUN
ajase-5751	54	13	because	because	SCONJ
ajase-5751	54	14	its	its	PRON
ajase-5751	54	15	ar	ar	NOUN
ajase-5751	54	16	polynomial	polynomial	NOUN
ajase-5751	54	17	has	have	VERB
ajase-5751	54	18	a	a	DET
ajase-5751	54	19	unit	unit	NOUN
ajase-5751	54	20	-	-	PUNCT
ajase-5751	54	21	root	root	NOUN
ajase-5751	54	22	and	and	CCONJ
ajase-5751	54	23	a	a	DET
ajase-5751	54	24	conventional	conventional	ADJ
ajase-5751	54	25	pa	pa	PROPN
ajase-5751	54	26	ge	ge	PROPN
ajase-5751	54	27	11	11	NUM
ajase-5751	54	28	4	4	NUM
ajase-5751	54	29	https://journals.e-palli.com/home/index.php/ajase	https://journals.e-palli.com/home/index.php/ajase	PROPN
ajase-5751	54	30	am	am	NOUN
ajase-5751	54	31	.	.	PUNCT
ajase-5751	55	1	j.	j.	PROPN
ajase-5751	55	2	appl	appl	PROPN
ajase-5751	55	3	.	.	PROPN
ajase-5751	56	1	stat	stat	PROPN
ajase-5751	56	2	.	.	PUNCT
ajase-5751	57	1	econ	econ	PROPN
ajase-5751	57	2	.	.	PUNCT
ajase-5751	58	1	4(1	4(1	X
ajase-5751	58	2	)	)	PUNCT
ajase-5751	58	3	112	112	NUM
ajase-5751	58	4	-	-	SYM
ajase-5751	58	5	118	118	NUM
ajase-5751	58	6	,	,	PUNCT
ajase-5751	58	7	2025	2025	NUM
ajase-5751	58	8	table	table	NOUN
ajase-5751	58	9	1	1	NUM
ajase-5751	58	10	:	:	PUNCT
ajase-5751	58	11	asset	asset	NOUN
ajase-5751	58	12	under	under	ADP
ajase-5751	58	13	management	management	NOUN
ajase-5751	58	14	of	of	ADP
ajase-5751	58	15	the	the	DET
ajase-5751	58	16	private	private	ADJ
ajase-5751	58	17	sector	sector	NOUN
ajase-5751	58	18	pensions	pension	NOUN
ajase-5751	58	19	in	in	ADP
ajase-5751	58	20	ghana	ghana	PROPN
ajase-5751	58	21	(	(	PUNCT
ajase-5751	58	22	2012	2012	NUM
ajase-5751	58	23	-2022	-2022	NOUN
ajase-5751	58	24	)	)	PUNCT
ajase-5751	58	25	years	year	NOUN
ajase-5751	58	26	private	private	ADJ
ajase-5751	58	27	sector	sector	NOUN
ajase-5751	58	28	pension	pension	NOUN
ajase-5751	58	29	aum	aum	PROPN
ajase-5751	58	30	(	(	PUNCT
ajase-5751	58	31	ghs’billion	ghs’billion	PROPN
ajase-5751	58	32	)	)	PUNCT
ajase-5751	58	33	2023	2023	NUM
ajase-5751	58	34	46.5	46.5	NUM
ajase-5751	58	35	2022	2022	NUM
ajase-5751	58	36	35.3	35.3	NUM
ajase-5751	58	37	2021	2021	NUM
ajase-5751	58	38	28.0	28.0	NUM
ajase-5751	58	39	2020	2020	NUM
ajase-5751	58	40	22.0	22.0	NUM
ajase-5751	58	41	2019	2019	NUM
ajase-5751	58	42	17.3	17.3	NUM
ajase-5751	58	43	2018	2018	NUM
ajase-5751	58	44	13.0	13.0	NUM
ajase-5751	58	45	2017	2017	NUM
ajase-5751	58	46	9.8	9.8	NUM
ajase-5751	58	47	2016	2016	NUM
ajase-5751	58	48	8.9	8.9	NUM
ajase-5751	58	49	2015	2015	NUM
ajase-5751	58	50	8.8	8.8	NUM
ajase-5751	58	51	2014	2014	NUM
ajase-5751	58	52	7.4	7.4	NUM
ajase-5751	58	53	2013	2013	NUM
ajase-5751	58	54	4.8	4.8	NUM
ajase-5751	58	55	2012	2012	NUM
ajase-5751	58	56	4.0	4.0	NUM
ajase-5751	58	57	source	source	NOUN
ajase-5751	58	58	:	:	PUNCT
ajase-5751	58	59	national	national	ADJ
ajase-5751	58	60	pensions	pension	NOUN
ajase-5751	58	61	authority	authority	NOUN
ajase-5751	58	62	(	(	PUNCT
ajase-5751	58	63	npra	npra	ADJ
ajase-5751	58	64	)	)	PUNCT
ajase-5751	58	65	annual	annual	ADJ
ajase-5751	58	66	report	report	NOUN
ajase-5751	58	67	(	(	PUNCT
ajase-5751	58	68	20122022	20122022	NUM
ajase-5751	58	69	)	)	PUNCT
ajase-5751	58	70	.	.	PUNCT
ajase-5751	59	1	approach	approach	NOUN
ajase-5751	59	2	for	for	ADP
ajase-5751	59	3	handling	handle	VERB
ajase-5751	59	4	unit	unit	NOUN
ajase-5751	59	5	-	-	PUNCT
ajase-5751	59	6	root	root	NOUN
ajase-5751	59	7	non	non	ADJ
ajase-5751	59	8	-	-	ADJ
ajase-5751	59	9	stationary	stationary	ADJ
ajase-5751	59	10	is	be	AUX
ajase-5751	59	11	to	to	PART
ajase-5751	59	12	use	use	VERB
ajase-5751	59	13	differencing	difference	VERB
ajase-5751	59	14	(	(	PUNCT
ajase-5751	59	15	tsay	tsay	PROPN
ajase-5751	59	16	,	,	PUNCT
ajase-5751	59	17	2010	2010	NUM
ajase-5751	59	18	)	)	PUNCT
ajase-5751	59	19	.	.	PUNCT
ajase-5751	60	1	if	if	SCONJ
ajase-5751	60	2	the	the	DET
ajase-5751	60	3	differencing	difference	VERB
ajase-5751	60	4	wt	wt	NOUN
ajase-5751	60	5	=	=	PUNCT
ajase-5751	60	6	yt	yt	PROPN
ajase-5751	60	7	–	–	PUNCT
ajase-5751	60	8	y(t-1	y(t-1	NOUN
ajase-5751	60	9	)	)	PUNCT
ajase-5751	60	10	=	=	PUNCT
ajase-5751	60	11	(	(	PUNCT
ajase-5751	60	12	1	1	NUM
ajase-5751	60	13	−	−	PROPN
ajase-5751	60	14	b	b	PROPN
ajase-5751	60	15	)	)	PUNCT
ajase-5751	60	16	yt	yt	NOUN
ajase-5751	60	17	or	or	CCONJ
ajase-5751	60	18	higher	high	ADJ
ajase-5751	60	19	-	-	PUNCT
ajase-5751	60	20	order	order	NOUN
ajase-5751	60	21	differencing	differencing	NOUN
ajase-5751	60	22	wt	wt	NOUN
ajase-5751	60	23	=	=	SYM
ajase-5751	60	24	(	(	PUNCT
ajase-5751	60	25	1	1	NUM
ajase-5751	60	26	-	-	PUNCT
ajase-5751	60	27	b)d	b)d	ADJ
ajase-5751	60	28	yt	yt	NOUN
ajase-5751	60	29	of	of	ADP
ajase-5751	60	30	nonstationary	nonstationary	ADJ
ajase-5751	60	31	time	time	NOUN
ajase-5751	60	32	series	series	NOUN
ajase-5751	60	33	then	then	ADV
ajase-5751	60	34	we	we	PRON
ajase-5751	60	35	call	call	VERB
ajase-5751	60	36	yt	yt	VERB
ajase-5751	60	37	an	an	DET
ajase-5751	60	38	arima	arima	NOUN
ajase-5751	60	39	(	(	PUNCT
ajase-5751	60	40	p	p	X
ajase-5751	60	41	,	,	PUNCT
ajase-5751	60	42	d	d	NOUN
ajase-5751	60	43	,	,	PUNCT
ajase-5751	60	44	q	q	NOUN
ajase-5751	60	45	)	)	PUNCT
ajase-5751	60	46	process	process	NOUN
ajase-5751	60	47	with	with	ADP
ajase-5751	60	48	order	order	NOUN
ajase-5751	60	49	p	p	NOUN
ajase-5751	60	50	of	of	ADP
ajase-5751	60	51	ar	ar	NOUN
ajase-5751	60	52	process	process	NOUN
ajase-5751	60	53	,	,	PUNCT
ajase-5751	60	54	d	d	NOUN
ajase-5751	60	55	the	the	DET
ajase-5751	60	56	number	number	NOUN
ajase-5751	60	57	of	of	ADP
ajase-5751	60	58	differences	difference	NOUN
ajase-5751	60	59	made	make	VERB
ajase-5751	60	60	for	for	SCONJ
ajase-5751	60	61	a	a	DET
ajase-5751	60	62	series	series	NOUN
ajase-5751	60	63	to	to	PART
ajase-5751	60	64	become	become	VERB
ajase-5751	60	65	stationary	stationary	ADJ
ajase-5751	60	66	and	and	CCONJ
ajase-5751	60	67	q	q	NOUN
ajase-5751	60	68	is	be	AUX
ajase-5751	60	69	the	the	DET
ajase-5751	60	70	order	order	NOUN
ajase-5751	60	71	of	of	ADP
ajase-5751	60	72	ma	ma	PROPN
ajase-5751	60	73	process	process	NOUN
ajase-5751	60	74	.	.	PUNCT
ajase-5751	61	1	it	it	PRON
ajase-5751	61	2	is	be	AUX
ajase-5751	61	3	expressed	express	VERB
ajase-5751	61	4	as	as	ADP
ajase-5751	61	5	:	:	PUNCT
ajase-5751	61	6	y’t	y’t	PROPN
ajase-5751	61	7	=	=	VERB
ajase-5751	61	8	i+∝1y’(t-1)+∝2y’(t-2)+	i+∝1y’(t-1)+∝2y’(t-2)+	ADJ
ajase-5751	61	9	....	....	NOUN
ajase-5751	61	10	+∝py’(t	+∝py’(t	ADJ
ajase-5751	61	11	-	-	PUNCT
ajase-5751	61	12	p)+et+θ1e(t-1)+θ2e(t2)+	p)+et+θ1e(t-1)+θ2e(t2)+	NOUN
ajase-5751	61	13	....	....	SYM
ajase-5751	61	14	+θq	+θq	NOUN
ajase-5751	61	15	e(t	e(t	NOUN
ajase-5751	61	16	-	-	PUNCT
ajase-5751	61	17	q	q	NOUN
ajase-5751	61	18	)	)	PUNCT
ajase-5751	61	19	(	(	PUNCT
ajase-5751	61	20	1.0	1.0	NUM
ajase-5751	61	21	)	)	PUNCT
ajase-5751	61	22	φp(b)(1	φp(b)(1	NOUN
ajase-5751	61	23	-	-	PUNCT
ajase-5751	61	24	b)dyt	b)dyt	NOUN
ajase-5751	61	25	=	=	SYM
ajase-5751	61	26	θq(b)∝t	θq(b)∝t	ADJ
ajase-5751	61	27	~	~	SYM
ajase-5751	61	28	arima	arima	X
ajase-5751	61	29	(	(	PUNCT
ajase-5751	61	30	p	p	X
ajase-5751	61	31	,	,	PUNCT
ajase-5751	61	32	d	d	NOUN
ajase-5751	61	33	,	,	PUNCT
ajase-5751	61	34	q	q	NOUN
ajase-5751	61	35	)	)	PUNCT
ajase-5751	61	36	(	(	PUNCT
ajase-5751	61	37	1.1	1.1	NUM
ajase-5751	61	38	)	)	PUNCT
ajase-5751	61	39	multiplicative	multiplicative	ADJ
ajase-5751	61	40	seasonal	seasonal	ADJ
ajase-5751	61	41	arima	arima	NOUN
ajase-5751	61	42	(	(	PUNCT
ajase-5751	61	43	sarimax	sarimax	PROPN
ajase-5751	61	44	)	)	PUNCT
ajase-5751	61	45	the	the	DET
ajase-5751	61	46	seasonal	seasonal	ADJ
ajase-5751	61	47	arima	arima	NOUN
ajase-5751	61	48	model	model	NOUN
ajase-5751	61	49	incorporates	incorporate	VERB
ajase-5751	61	50	both	both	CCONJ
ajase-5751	61	51	non	non	ADJ
ajase-5751	61	52	seasonal	seasonal	ADJ
ajase-5751	61	53	and	and	CCONJ
ajase-5751	61	54	seasonal	seasonal	ADJ
ajase-5751	61	55	factors	factor	NOUN
ajase-5751	61	56	in	in	ADP
ajase-5751	61	57	a	a	DET
ajase-5751	61	58	multiplicative	multiplicative	ADJ
ajase-5751	61	59	model	model	NOUN
ajase-5751	61	60	:	:	PUNCT
ajase-5751	62	1	sarima	sarima	NOUN
ajase-5751	62	2	(	(	PUNCT
ajase-5751	62	3	p	p	X
ajase-5751	62	4	,	,	PUNCT
ajase-5751	62	5	d	d	NOUN
ajase-5751	62	6	,	,	PUNCT
ajase-5751	62	7	q	q	NOUN
ajase-5751	62	8	)	)	PUNCT
ajase-5751	62	9	(	(	PUNCT
ajase-5751	62	10	p	p	X
ajase-5751	62	11	,	,	PUNCT
ajase-5751	62	12	d	d	NOUN
ajase-5751	62	13	,	,	PUNCT
ajase-5751	62	14	q	q	ADJ
ajase-5751	62	15	)	)	PUNCT
ajase-5751	62	16	s.	s.	PROPN
ajase-5751	62	17	box	box	PROPN
ajase-5751	62	18	&	&	CCONJ
ajase-5751	62	19	jenkins	jenkins	PROPN
ajase-5751	62	20	proposed	propose	VERB
ajase-5751	62	21	the	the	DET
ajase-5751	62	22	following	follow	VERB
ajase-5751	62	23	model	model	NOUN
ajase-5751	62	24	when	when	SCONJ
ajase-5751	62	25	dealing	deal	VERB
ajase-5751	62	26	with	with	ADP
ajase-5751	62	27	a	a	DET
ajase-5751	62	28	time	time	NOUN
ajase-5751	62	29	series	series	NOUN
ajase-5751	62	30	that	that	PRON
ajase-5751	62	31	contains	contain	VERB
ajase-5751	62	32	seasonal	seasonal	ADJ
ajase-5751	62	33	fluctuations	fluctuation	NOUN
ajase-5751	62	34	:	:	PUNCT
ajase-5751	62	35	φp(b	φp(b	NUM
ajase-5751	62	36	s)φp(b)(1	s)φp(b)(1	NOUN
ajase-5751	62	37	-	-	PUNCT
ajase-5751	62	38	b)d(1	b)d(1	NOUN
ajase-5751	62	39	-	-	PUNCT
ajase-5751	62	40	bs)dyt	bs)dyt	NOUN
ajase-5751	62	41	=	=	SYM
ajase-5751	62	42	θq(b)ε(q)(b	θq(b)ε(q)(b	NOUN
ajase-5751	62	43	s)∝t	s)∝t	PUNCT
ajase-5751	62	44	(	(	PUNCT
ajase-5751	62	45	1.2	1.2	NUM
ajase-5751	62	46	)	)	PUNCT
ajase-5751	62	47	where	where	SCONJ
ajase-5751	62	48	yt	yt	PROPN
ajase-5751	62	49	is	be	AUX
ajase-5751	62	50	the	the	DET
ajase-5751	62	51	observed	observe	VERB
ajase-5751	62	52	value	value	NOUN
ajase-5751	62	53	at	at	ADP
ajase-5751	62	54	time	time	NOUN
ajase-5751	62	55	t	t	PROPN
ajase-5751	62	56	,	,	PUNCT
ajase-5751	62	57	∝t	∝t	PRON
ajase-5751	62	58	is	be	AUX
ajase-5751	62	59	the	the	DET
ajase-5751	62	60	value	value	NOUN
ajase-5751	62	61	at	at	ADP
ajase-5751	62	62	time	time	NOUN
ajase-5751	62	63	t	t	PROPN
ajase-5751	62	64	of	of	ADP
ajase-5751	62	65	white	white	ADJ
ajase-5751	62	66	noise	noise	NOUN
ajase-5751	62	67	,	,	PUNCT
ajase-5751	62	68	d	d	NOUN
ajase-5751	62	69	is	be	AUX
ajase-5751	62	70	order	order	NOUN
ajase-5751	62	71	of	of	ADP
ajase-5751	62	72	differencing	differencing	NOUN
ajase-5751	62	73	,	,	PUNCT
ajase-5751	62	74	is	be	AUX
ajase-5751	62	75	φp	φp	NOUN
ajase-5751	62	76	(	(	PUNCT
ajase-5751	62	77	b	b	NOUN
ajase-5751	62	78	)	)	PUNCT
ajase-5751	62	79	ordinary	ordinary	ADJ
ajase-5751	62	80	autoregressive	autoregressive	ADJ
ajase-5751	62	81	component	component	NOUN
ajase-5751	62	82	of	of	ADP
ajase-5751	62	83	order	order	NOUN
ajase-5751	62	84	p	p	X
ajase-5751	62	85	and	and	CCONJ
ajase-5751	62	86	θq(b	θq(b	NUM
ajase-5751	62	87	)	)	PUNCT
ajase-5751	62	88	and	and	CCONJ
ajase-5751	62	89	is	be	AUX
ajase-5751	62	90	the	the	DET
ajase-5751	62	91	ordinary	ordinary	ADJ
ajase-5751	62	92	moving	move	VERB
ajase-5751	62	93	average	average	ADJ
ajase-5751	62	94	component	component	NOUN
ajase-5751	62	95	of	of	ADP
ajase-5751	62	96	order	order	NOUN
ajase-5751	62	97	q	q	NOUN
ajase-5751	62	98	,	,	PUNCT
ajase-5751	62	99	sis	sis	PRON
ajase-5751	62	100	number	number	NOUN
ajase-5751	62	101	of	of	ADP
ajase-5751	62	102	seasons	season	NOUN
ajase-5751	62	103	in	in	ADP
ajase-5751	62	104	a	a	DET
ajase-5751	62	105	year	year	NOUN
ajase-5751	62	106	and	and	CCONJ
ajase-5751	62	107	d	d	NOUN
ajase-5751	62	108	is	be	AUX
ajase-5751	62	109	order	order	NOUN
ajase-5751	62	110	of	of	ADP
ajase-5751	62	111	the	the	DET
ajase-5751	62	112	seasonal	seasonal	ADJ
ajase-5751	62	113	differencing	differencing	NOUN
ajase-5751	62	114	,	,	PUNCT
ajase-5751	62	115	φp	φp	ADP
ajase-5751	62	116	(	(	PUNCT
ajase-5751	62	117	b	b	NOUN
ajase-5751	62	118	s	s	X
ajase-5751	62	119	)	)	PUNCT
ajase-5751	62	120	and	and	CCONJ
ajase-5751	62	121	ε(q)(b	ε(q)(b	PRON
ajase-5751	62	122	s	s	NOUN
ajase-5751	62	123	)	)	PUNCT
ajase-5751	62	124	are	be	AUX
ajase-5751	62	125	the	the	DET
ajase-5751	62	126	seasonal	seasonal	ADJ
ajase-5751	62	127	autoregressive	autoregressive	ADJ
ajase-5751	62	128	and	and	CCONJ
ajase-5751	62	129	moving	move	VERB
ajase-5751	62	130	average	average	ADJ
ajase-5751	62	131	difference	difference	NOUN
ajase-5751	62	132	of	of	ADP
ajase-5751	62	133	orders	order	NOUN
ajase-5751	62	134	p	p	NOUN
ajase-5751	62	135	and	and	CCONJ
ajase-5751	62	136	q	q	NOUN
ajase-5751	62	137	at	at	ADP
ajase-5751	62	138	lag	lag	PROPN
ajase-5751	62	139	s.	s.	PROPN
ajase-5751	62	140	according	accord	VERB
ajase-5751	62	141	to	to	ADP
ajase-5751	62	142	box	box	PROPN
ajase-5751	62	143	&	&	CCONJ
ajase-5751	62	144	jenkins	jenkins	PROPN
ajase-5751	62	145	(	(	PUNCT
ajase-5751	62	146	1976	1976	NUM
ajase-5751	62	147	)	)	PUNCT
ajase-5751	62	148	,	,	PUNCT
ajase-5751	62	149	the	the	DET
ajase-5751	62	150	operator	operator	NOUN
ajase-5751	62	151	polynomials	polynomial	NOUN
ajase-5751	62	152	are	be	AUX
ajase-5751	62	153	:	:	PUNCT
ajase-5751	62	154	φp(b)=(1-∅1b-	φp(b)=(1-∅1b-	NOUN
ajase-5751	62	155	…	…	NUM
ajase-5751	62	156	∅pb	∅pb	NOUN
ajase-5751	62	157	p	p	NOUN
ajase-5751	62	158	)	)	PUNCT
ajase-5751	62	159	(	(	PUNCT
ajase-5751	62	160	1.3	1.3	NUM
ajase-5751	62	161	)	)	PUNCT
ajase-5751	62	162	θq(b)=(1+∅1b-	θq(b)=(1+∅1b-	NOUN
ajase-5751	62	163	…	…	SYM
ajase-5751	62	164	θqb	θqb	NOUN
ajase-5751	62	165	p	p	NOUN
ajase-5751	62	166	)	)	PUNCT
ajase-5751	62	167	(	(	PUNCT
ajase-5751	62	168	1.4	1.4	NUM
ajase-5751	62	169	)	)	PUNCT
ajase-5751	62	170	φp(b	φp(b	NOUN
ajase-5751	62	171	s)=(1	s)=(1	NOUN
ajase-5751	62	172	-	-	PUNCT
ajase-5751	62	173	φbs-	φbs-	NOUN
ajase-5751	62	174	…	…	SYM
ajase-5751	62	175	-φpb	-φpb	X
ajase-5751	62	176	sp	sp	NOUN
ajase-5751	62	177	)	)	PUNCT
ajase-5751	62	178	(	(	PUNCT
ajase-5751	62	179	1.5	1.5	NUM
ajase-5751	62	180	)	)	PUNCT
ajase-5751	62	181	box	box	NOUN
ajase-5751	62	182	-	-	PUNCT
ajase-5751	62	183	jenkins	jenkins	PROPN
ajase-5751	62	184	(	(	PUNCT
ajase-5751	62	185	arima	arima	PROPN
ajase-5751	62	186	)	)	PUNCT
ajase-5751	62	187	model	model	NOUN
ajase-5751	62	188	when	when	SCONJ
ajase-5751	62	189	performing	perform	VERB
ajase-5751	62	190	a	a	DET
ajase-5751	62	191	time	time	NOUN
ajase-5751	62	192	series	series	NOUN
ajase-5751	62	193	analysis	analysis	NOUN
ajase-5751	62	194	using	use	VERB
ajase-5751	62	195	arima	arima	NOUN
ajase-5751	62	196	models	model	NOUN
ajase-5751	62	197	,	,	PUNCT
ajase-5751	62	198	three	three	NUM
ajase-5751	62	199	iterative	iterative	NOUN
ajase-5751	62	200	steps	step	NOUN
ajase-5751	62	201	must	must	AUX
ajase-5751	62	202	be	be	AUX
ajase-5751	62	203	used	use	VERB
ajase-5751	62	204	:	:	PUNCT
ajase-5751	62	205	diagnostic	diagnostic	ADJ
ajase-5751	62	206	checking	checking	NOUN
ajase-5751	62	207	by	by	ADP
ajase-5751	62	208	examining	examine	VERB
ajase-5751	62	209	residuals	residual	NOUN
ajase-5751	62	210	to	to	PART
ajase-5751	62	211	assess	assess	VERB
ajase-5751	62	212	the	the	DET
ajase-5751	62	213	model	model	NOUN
ajase-5751	62	214	’s	’s	PART
ajase-5751	62	215	adequacy	adequacy	NOUN
ajase-5751	62	216	,	,	PUNCT
ajase-5751	62	217	parameter	parameter	NOUN
ajase-5751	62	218	estimation	estimation	NOUN
ajase-5751	62	219	by	by	ADP
ajase-5751	62	220	estimating	estimate	VERB
ajase-5751	62	221	the	the	DET
ajase-5751	62	222	model	model	NOUN
ajase-5751	62	223	’s	’s	PART
ajase-5751	62	224	unknown	unknown	ADJ
ajase-5751	62	225	parameters	parameter	NOUN
ajase-5751	62	226	,	,	PUNCT
ajase-5751	62	227	and	and	CCONJ
ajase-5751	62	228	model	model	NOUN
ajase-5751	62	229	identification	identification	NOUN
ajase-5751	62	230	by	by	ADP
ajase-5751	62	231	analyzing	analyze	VERB
ajase-5751	62	232	historical	historical	ADJ
ajase-5751	62	233	data	datum	NOUN
ajase-5751	62	234	.	.	PUNCT
ajase-5751	63	1	model	model	NOUN
ajase-5751	63	2	identification	identification	NOUN
ajase-5751	63	3	identification	identification	NOUN
ajase-5751	63	4	of	of	ADP
ajase-5751	63	5	the	the	DET
ajase-5751	63	6	appropriate	appropriate	ADJ
ajase-5751	63	7	and	and	CCONJ
ajase-5751	63	8	suitable	suitable	ADJ
ajase-5751	63	9	arima	arima	NOUN
ajase-5751	63	10	model	model	NOUN
ajase-5751	63	11	requires	require	VERB
ajase-5751	63	12	skills	skill	NOUN
ajase-5751	63	13	obtained	obtain	VERB
ajase-5751	63	14	by	by	ADP
ajase-5751	63	15	experience	experience	NOUN
ajase-5751	63	16	.	.	PUNCT
ajase-5751	64	1	box	box	PROPN
ajase-5751	64	2	&	&	CCONJ
ajase-5751	64	3	jenkins	jenkins	PROPN
ajase-5751	64	4	postulates	postulate	VERB
ajase-5751	64	5	the	the	DET
ajase-5751	64	6	following	follow	VERB
ajase-5751	64	7	summary	summary	NOUN
ajase-5751	64	8	table	table	NOUN
ajase-5751	64	9	on	on	ADP
ajase-5751	64	10	how	how	SCONJ
ajase-5751	64	11	to	to	PART
ajase-5751	64	12	identify	identify	VERB
ajase-5751	64	13	the	the	DET
ajase-5751	64	14	model	model	NOUN
ajase-5751	64	15	.	.	PUNCT
ajase-5751	65	1	table	table	NOUN
ajase-5751	65	2	2	2	NUM
ajase-5751	65	3	:	:	PUNCT
ajase-5751	65	4	model	model	NOUN
ajase-5751	65	5	identification	identification	NOUN
ajase-5751	65	6	(	(	PUNCT
ajase-5751	65	7	box	box	PROPN
ajase-5751	65	8	&	&	CCONJ
ajase-5751	65	9	jenkins	jenkins	PROPN
ajase-5751	65	10	,	,	PUNCT
ajase-5751	65	11	1976	1976	NUM
ajase-5751	65	12	)	)	PUNCT
ajase-5751	65	13	model	model	NOUN
ajase-5751	65	14	acf	acf	PROPN
ajase-5751	65	15	pacf	pacf	PROPN
ajase-5751	65	16	arima	arima	PROPN
ajase-5751	65	17	(	(	PUNCT
ajase-5751	65	18	p	p	X
ajase-5751	65	19	,	,	PUNCT
ajase-5751	65	20	d	d	NOUN
ajase-5751	65	21	,	,	PUNCT
ajase-5751	65	22	0	0	NUM
ajase-5751	65	23	)	)	PUNCT
ajase-5751	65	24	infinite	infinite	NOUN
ajase-5751	65	25	.	.	PUNCT
ajase-5751	66	1	tails	tail	NOUN
ajase-5751	66	2	off	off	ADP
ajase-5751	66	3	finite	finite	NOUN
ajase-5751	66	4	cuts	cut	NOUN
ajase-5751	66	5	off	off	ADP
ajase-5751	66	6	after	after	SCONJ
ajase-5751	66	7	p	p	NOUN
ajase-5751	66	8	lags	lag	VERB
ajase-5751	66	9	arima	arima	NOUN
ajase-5751	66	10	(	(	PUNCT
ajase-5751	66	11	0	0	NUM
ajase-5751	66	12	,	,	PUNCT
ajase-5751	66	13	d	d	NOUN
ajase-5751	66	14	,	,	PUNCT
ajase-5751	66	15	p	p	NOUN
ajase-5751	66	16	)	)	PUNCT
ajase-5751	66	17	finite	finite	NOUN
ajase-5751	66	18	cuts	cut	VERB
ajase-5751	66	19	off	off	ADP
ajase-5751	66	20	after	after	ADP
ajase-5751	66	21	infinite	infinite	NOUN
ajase-5751	66	22	.	.	PUNCT
ajase-5751	67	1	tails	tail	NOUN
ajase-5751	67	2	off	off	ADP
ajase-5751	67	3	arima	arima	PROPN
ajase-5751	67	4	(	(	PUNCT
ajase-5751	67	5	p	p	X
ajase-5751	67	6	,	,	PUNCT
ajase-5751	67	7	d	d	NOUN
ajase-5751	67	8	,	,	PUNCT
ajase-5751	67	9	q	q	NOUN
ajase-5751	67	10	)	)	PUNCT
ajase-5751	67	11	infinite	infinite	NOUN
ajase-5751	67	12	.	.	PUNCT
ajase-5751	68	1	tails	tail	NOUN
ajase-5751	68	2	off	off	ADP
ajase-5751	68	3	infinite	infinite	NOUN
ajase-5751	68	4	.	.	PUNCT
ajase-5751	69	1	tails	tail	NOUN
ajase-5751	69	2	off	off	ADP
ajase-5751	69	3	model	model	NOUN
ajase-5751	69	4	identification	identification	NOUN
ajase-5751	69	5	for	for	ADP
ajase-5751	69	6	arima	arima	PROPN
ajase-5751	69	7	modeling	modeling	NOUN
ajase-5751	69	8	,	,	PUNCT
ajase-5751	69	9	the	the	DET
ajase-5751	69	10	autoregressive	autoregressive	ADJ
ajase-5751	69	11	order	order	NOUN
ajase-5751	69	12	(	(	PUNCT
ajase-5751	69	13	p	p	NOUN
ajase-5751	69	14	)	)	PUNCT
ajase-5751	69	15	is	be	AUX
ajase-5751	69	16	usually	usually	ADV
ajase-5751	69	17	determined	determine	VERB
ajase-5751	69	18	by	by	ADP
ajase-5751	69	19	examining	examine	VERB
ajase-5751	69	20	the	the	DET
ajase-5751	69	21	partial	partial	ADJ
ajase-5751	69	22	autocorrelation	autocorrelation	NOUN
ajase-5751	69	23	function	function	NOUN
ajase-5751	69	24	(	(	PUNCT
ajase-5751	69	25	pacf	pacf	NOUN
ajase-5751	69	26	)	)	PUNCT
ajase-5751	69	27	of	of	ADP
ajase-5751	69	28	a	a	DET
ajase-5751	69	29	stationary	stationary	ADJ
ajase-5751	69	30	time	time	NOUN
ajase-5751	69	31	series	series	NOUN
ajase-5751	69	32	.	.	PUNCT
ajase-5751	70	1	if	if	SCONJ
ajase-5751	70	2	the	the	DET
ajase-5751	70	3	pacf	pacf	NOUN
ajase-5751	70	4	cuts	cut	VERB
ajase-5751	70	5	off	off	ADP
ajase-5751	70	6	after	after	ADP
ajase-5751	70	7	a	a	DET
ajase-5751	70	8	certain	certain	ADJ
ajase-5751	70	9	lag	lag	NOUN
ajase-5751	70	10	,	,	PUNCT
ajase-5751	70	11	the	the	DET
ajase-5751	70	12	highest	high	ADJ
ajase-5751	70	13	significant	significant	ADJ
ajase-5751	70	14	lag	lag	NOUN
ajase-5751	70	15	suggests	suggest	VERB
ajase-5751	70	16	the	the	DET
ajase-5751	70	17	value	value	NOUN
ajase-5751	70	18	of	of	ADP
ajase-5751	70	19	p.	p.	NOUN
ajase-5751	70	20	conversely	conversely	ADV
ajase-5751	70	21	,	,	PUNCT
ajase-5751	70	22	if	if	SCONJ
ajase-5751	70	23	the	the	DET
ajase-5751	70	24	pacf	pacf	NOUN
ajase-5751	70	25	does	do	AUX
ajase-5751	70	26	not	not	PART
ajase-5751	70	27	cut	cut	VERB
ajase-5751	70	28	off	off	ADP
ajase-5751	70	29	,	,	PUNCT
ajase-5751	70	30	then	then	ADV
ajase-5751	70	31	p	p	NOUN
ajase-5751	70	32	is	be	AUX
ajase-5751	70	33	often	often	ADV
ajase-5751	70	34	set	set	VERB
ajase-5751	70	35	to	to	ADP
ajase-5751	70	36	zero	zero	NUM
ajase-5751	70	37	(	(	PUNCT
ajase-5751	70	38	box	box	PROPN
ajase-5751	70	39	&	&	CCONJ
ajase-5751	70	40	jenkins	jenkins	PROPN
ajase-5751	70	41	,	,	PUNCT
ajase-5751	70	42	1976	1976	NUM
ajase-5751	70	43	)	)	PUNCT
ajase-5751	70	44	.	.	PUNCT
ajase-5751	71	1	similarly	similarly	ADV
ajase-5751	71	2	,	,	PUNCT
ajase-5751	71	3	the	the	DET
ajase-5751	71	4	moving	move	VERB
ajase-5751	71	5	average	average	ADJ
ajase-5751	71	6	order	order	NOUN
ajase-5751	71	7	(	(	PUNCT
ajase-5751	71	8	q	q	X
ajase-5751	71	9	)	)	PUNCT
ajase-5751	71	10	is	be	AUX
ajase-5751	71	11	inferred	infer	VERB
ajase-5751	71	12	from	from	ADP
ajase-5751	71	13	the	the	DET
ajase-5751	71	14	autocorrelation	autocorrelation	NOUN
ajase-5751	71	15	function	function	NOUN
ajase-5751	71	16	(	(	PUNCT
ajase-5751	71	17	acf	acf	PROPN
ajase-5751	71	18	)	)	PUNCT
ajase-5751	71	19	.	.	PUNCT
ajase-5751	72	1	a	a	DET
ajase-5751	72	2	cutoff	cutoff	NOUN
ajase-5751	72	3	in	in	ADP
ajase-5751	72	4	the	the	DET
ajase-5751	72	5	acf	acf	NOUN
ajase-5751	72	6	after	after	ADP
ajase-5751	72	7	a	a	DET
ajase-5751	72	8	few	few	ADJ
ajase-5751	72	9	lags	lag	NOUN
ajase-5751	72	10	indicates	indicate	VERB
ajase-5751	72	11	the	the	DET
ajase-5751	72	12	potential	potential	ADJ
ajase-5751	72	13	value	value	NOUN
ajase-5751	72	14	of	of	ADP
ajase-5751	72	15	q	q	NOUN
ajase-5751	72	16	,	,	PUNCT
ajase-5751	72	17	with	with	ADP
ajase-5751	72	18	the	the	DET
ajase-5751	72	19	last	last	ADJ
ajase-5751	72	20	significant	significant	ADJ
ajase-5751	72	21	lag	lag	NOUN
ajase-5751	72	22	serving	serve	VERB
ajase-5751	72	23	as	as	ADP
ajase-5751	72	24	an	an	DET
ajase-5751	72	25	estimate	estimate	NOUN
ajase-5751	72	26	.	.	PUNCT
ajase-5751	73	1	in	in	ADP
ajase-5751	73	2	arima	arima	PROPN
ajase-5751	73	3	(	(	PUNCT
ajase-5751	73	4	p	p	X
ajase-5751	73	5	,	,	PUNCT
ajase-5751	73	6	d	d	NOUN
ajase-5751	73	7	,	,	PUNCT
ajase-5751	73	8	q	q	ADJ
ajase-5751	73	9	)	)	PUNCT
ajase-5751	73	10	models	model	NOUN
ajase-5751	73	11	,	,	PUNCT
ajase-5751	73	12	the	the	DET
ajase-5751	73	13	autocorrelation	autocorrelation	NOUN
ajase-5751	73	14	patterns	pattern	NOUN
ajase-5751	73	15	typically	typically	ADV
ajase-5751	73	16	show	show	VERB
ajase-5751	73	17	exponential	exponential	ADJ
ajase-5751	73	18	decay	decay	NOUN
ajase-5751	73	19	or	or	CCONJ
ajase-5751	73	20	damped	damped	ADJ
ajase-5751	73	21	sine	sine	ADJ
ajase-5751	73	22	-	-	PUNCT
ajase-5751	73	23	wave	wave	NOUN
ajase-5751	73	24	behavior	behavior	NOUN
ajase-5751	73	25	after	after	ADP
ajase-5751	73	26	the	the	DET
ajase-5751	73	27	first	first	ADJ
ajase-5751	73	28	q	q	NOUN
ajase-5751	73	29	–	–	PUNCT
ajase-5751	73	30	p	p	PRON
ajase-5751	73	31	lags	lag	NOUN
ajase-5751	73	32	.	.	PUNCT
ajase-5751	74	1	parameter	parameter	PROPN
ajase-5751	74	2	estimation	estimation	NOUN
ajase-5751	74	3	once	once	ADV
ajase-5751	74	4	a	a	DET
ajase-5751	74	5	tentative	tentative	ADJ
ajase-5751	74	6	model	model	NOUN
ajase-5751	74	7	structure	structure	NOUN
ajase-5751	74	8	is	be	AUX
ajase-5751	74	9	identified	identify	VERB
ajase-5751	74	10	,	,	PUNCT
ajase-5751	74	11	parameter	parameter	NOUN
ajase-5751	74	12	estimation	estimation	NOUN
ajase-5751	74	13	follows	follow	VERB
ajase-5751	74	14	.	.	PUNCT
ajase-5751	75	1	box	box	PROPN
ajase-5751	75	2	and	and	CCONJ
ajase-5751	75	3	jenkins	jenkins	PROPN
ajase-5751	75	4	(	(	PUNCT
ajase-5751	75	5	1976	1976	NUM
ajase-5751	75	6	)	)	PUNCT
ajase-5751	75	7	propose	propose	VERB
ajase-5751	75	8	several	several	ADJ
ajase-5751	75	9	approaches	approach	NOUN
ajase-5751	75	10	,	,	PUNCT
ajase-5751	75	11	including	include	VERB
ajase-5751	75	12	the	the	DET
ajase-5751	75	13	method	method	NOUN
ajase-5751	75	14	of	of	ADP
ajase-5751	75	15	moments	moment	NOUN
ajase-5751	75	16	,	,	PUNCT
ajase-5751	75	17	least	least	ADJ
ajase-5751	75	18	squares	square	NOUN
ajase-5751	75	19	,	,	PUNCT
ajase-5751	75	20	and	and	CCONJ
ajase-5751	75	21	maximum	maximum	ADJ
ajase-5751	75	22	likelihood	likelihood	NOUN
ajase-5751	75	23	estimation	estimation	NOUN
ajase-5751	75	24	(	(	PUNCT
ajase-5751	75	25	mle	mle	PROPN
ajase-5751	75	26	)	)	PUNCT
ajase-5751	75	27	.	.	PUNCT
ajase-5751	76	1	given	give	VERB
ajase-5751	76	2	the	the	DET
ajase-5751	76	3	non	non	ADJ
ajase-5751	76	4	-	-	ADJ
ajase-5751	76	5	linear	linear	ADJ
ajase-5751	76	6	nature	nature	NOUN
ajase-5751	76	7	of	of	ADP
ajase-5751	76	8	many	many	ADJ
ajase-5751	76	9	arima	arima	NOUN
ajase-5751	76	10	specifications	specification	NOUN
ajase-5751	76	11	,	,	PUNCT
ajase-5751	76	12	mle	mle	PROPN
ajase-5751	76	13	is	be	AUX
ajase-5751	76	14	often	often	ADV
ajase-5751	76	15	preferred	prefer	VERB
ajase-5751	76	16	for	for	ADP
ajase-5751	76	17	its	its	PRON
ajase-5751	76	18	efficiency	efficiency	NOUN
ajase-5751	76	19	and	and	CCONJ
ajase-5751	76	20	robustness	robustness	NOUN
ajase-5751	76	21	.	.	PUNCT
ajase-5751	77	1	when	when	SCONJ
ajase-5751	77	2	estimating	estimate	VERB
ajase-5751	77	3	residuals	residual	NOUN
ajase-5751	77	4	,	,	PUNCT
ajase-5751	77	5	backcasting	backcaste	VERB
ajase-5751	77	6	may	may	AUX
ajase-5751	77	7	also	also	ADV
ajase-5751	77	8	be	be	AUX
ajase-5751	77	9	applied	apply	VERB
ajase-5751	77	10	to	to	PART
ajase-5751	77	11	obtain	obtain	VERB
ajase-5751	77	12	initial	initial	ADJ
ajase-5751	77	13	values	value	NOUN
ajase-5751	77	14	for	for	ADP
ajase-5751	77	15	the	the	DET
ajase-5751	77	16	error	error	NOUN
ajase-5751	77	17	terms	term	NOUN
ajase-5751	77	18	.	.	PUNCT
ajase-5751	78	1	diagnostic	diagnostic	ADJ
ajase-5751	78	2	checking	checking	NOUN
ajase-5751	78	3	after	after	ADP
ajase-5751	78	4	estimation	estimation	NOUN
ajase-5751	78	5	,	,	PUNCT
ajase-5751	78	6	diagnostic	diagnostic	ADJ
ajase-5751	78	7	checks	check	NOUN
ajase-5751	78	8	are	be	AUX
ajase-5751	78	9	essential	essential	ADJ
ajase-5751	78	10	to	to	PART
ajase-5751	78	11	confirm	confirm	VERB
ajase-5751	78	12	model	model	NOUN
ajase-5751	78	13	adequacy	adequacy	NOUN
ajase-5751	78	14	.	.	PUNCT
ajase-5751	79	1	residuals	residual	NOUN
ajase-5751	79	2	should	should	AUX
ajase-5751	79	3	resemble	resemble	VERB
ajase-5751	79	4	white	white	ADJ
ajase-5751	79	5	noise	noise	NOUN
ajase-5751	79	6	,	,	PUNCT
ajase-5751	79	7	meaning	mean	VERB
ajase-5751	79	8	they	they	PRON
ajase-5751	79	9	are	be	AUX
ajase-5751	79	10	uncorrelated	uncorrelated	ADJ
ajase-5751	79	11	,	,	PUNCT
ajase-5751	79	12	normally	normally	ADV
ajase-5751	79	13	distributed	distribute	VERB
ajase-5751	79	14	,	,	PUNCT
ajase-5751	79	15	and	and	CCONJ
ajase-5751	79	16	exhibit	exhibit	VERB
ajase-5751	79	17	constant	constant	ADJ
ajase-5751	79	18	variance	variance	NOUN
ajase-5751	79	19	.	.	PUNCT
ajase-5751	80	1	a	a	DET
ajase-5751	80	2	residual	residual	ADJ
ajase-5751	80	3	scatter	scatter	NOUN
ajase-5751	80	4	plot	plot	NOUN
ajase-5751	80	5	should	should	AUX
ajase-5751	80	6	appear	appear	VERB
ajase-5751	80	7	structureless	structureless	ADJ
ajase-5751	80	8	,	,	PUNCT
ajase-5751	80	9	without	without	ADP
ajase-5751	80	10	systematic	systematic	ADJ
ajase-5751	80	11	trends	trend	NOUN
ajase-5751	80	12	or	or	CCONJ
ajase-5751	80	13	patterns	pattern	NOUN
ajase-5751	80	14	.	.	PUNCT
ajase-5751	81	1	similarly	similarly	ADV
ajase-5751	81	2	,	,	PUNCT
ajase-5751	81	3	the	the	DET
ajase-5751	81	4	residual	residual	ADJ
ajase-5751	81	5	autocorrelation	autocorrelation	NOUN
ajase-5751	81	6	function	function	NOUN
ajase-5751	81	7	should	should	AUX
ajase-5751	81	8	not	not	PART
ajase-5751	81	9	display	display	VERB
ajase-5751	81	10	significant	significant	ADJ
ajase-5751	81	11	spikes	spike	NOUN
ajase-5751	81	12	.	.	PUNCT
ajase-5751	82	1	statistical	statistical	ADJ
ajase-5751	82	2	tests	test	NOUN
ajase-5751	82	3	,	,	PUNCT
ajase-5751	82	4	pa	pa	PROPN
ajase-5751	82	5	ge	ge	PROPN
ajase-5751	82	6	11	11	NUM
ajase-5751	82	7	5	5	NUM
ajase-5751	82	8	https://journals.e-palli.com/home/index.php/ajase	https://journals.e-palli.com/home/index.php/ajase	PROPN
ajase-5751	82	9	am	be	AUX
ajase-5751	82	10	.	.	PUNCT
ajase-5751	83	1	j.	j.	PROPN
ajase-5751	83	2	appl	appl	PROPN
ajase-5751	83	3	.	.	PROPN
ajase-5751	84	1	stat	stat	PROPN
ajase-5751	84	2	.	.	PUNCT
ajase-5751	85	1	econ	econ	PROPN
ajase-5751	85	2	.	.	PUNCT
ajase-5751	86	1	4(1	4(1	X
ajase-5751	86	2	)	)	PUNCT
ajase-5751	86	3	112	112	NUM
ajase-5751	86	4	-	-	SYM
ajase-5751	86	5	118	118	NUM
ajase-5751	86	6	,	,	PUNCT
ajase-5751	86	7	2025	2025	NUM
ajase-5751	86	8	such	such	ADJ
ajase-5751	86	9	as	as	ADP
ajase-5751	86	10	the	the	DET
ajase-5751	86	11	ljung	ljung	PROPN
ajase-5751	86	12	-	-	PUNCT
ajase-5751	86	13	box	box	NOUN
ajase-5751	86	14	test	test	NOUN
ajase-5751	86	15	or	or	CCONJ
ajase-5751	86	16	chi	chi	ADJ
ajase-5751	86	17	-	-	PUNCT
ajase-5751	86	18	square	square	NOUN
ajase-5751	86	19	-	-	PUNCT
ajase-5751	86	20	based	base	VERB
ajase-5751	86	21	adequacy	adequacy	NOUN
ajase-5751	86	22	tests	test	NOUN
ajase-5751	86	23	,	,	PUNCT
ajase-5751	86	24	are	be	AUX
ajase-5751	86	25	typically	typically	ADV
ajase-5751	86	26	used	use	VERB
ajase-5751	86	27	to	to	PART
ajase-5751	86	28	confirm	confirm	VERB
ajase-5751	86	29	that	that	SCONJ
ajase-5751	86	30	no	no	DET
ajase-5751	86	31	significant	significant	ADJ
ajase-5751	86	32	autocorrelation	autocorrelation	NOUN
ajase-5751	86	33	remains	remain	VERB
ajase-5751	86	34	in	in	ADP
ajase-5751	86	35	the	the	DET
ajase-5751	86	36	residuals	residual	NOUN
ajase-5751	86	37	.	.	PUNCT
ajase-5751	87	1	once	once	SCONJ
ajase-5751	87	2	these	these	DET
ajase-5751	87	3	conditions	condition	NOUN
ajase-5751	87	4	are	be	AUX
ajase-5751	87	5	satisfied	satisfied	ADJ
ajase-5751	87	6	,	,	PUNCT
ajase-5751	87	7	the	the	DET
ajase-5751	87	8	fitted	fit	VERB
ajase-5751	87	9	arima	arima	NOUN
ajase-5751	87	10	model	model	NOUN
ajase-5751	87	11	can	can	AUX
ajase-5751	87	12	be	be	AUX
ajase-5751	87	13	considered	consider	VERB
ajase-5751	87	14	adequate	adequate	ADJ
ajase-5751	87	15	and	and	CCONJ
ajase-5751	87	16	used	use	VERB
ajase-5751	87	17	for	for	ADP
ajase-5751	87	18	forecasting	forecasting	NOUN
ajase-5751	87	19	.	.	PUNCT
ajase-5751	88	1	results	result	NOUN
ajase-5751	88	2	and	and	CCONJ
ajase-5751	88	3	discussions	discussion	NOUN
ajase-5751	88	4	this	this	DET
ajase-5751	88	5	section	section	NOUN
ajase-5751	88	6	presents	present	VERB
ajase-5751	88	7	the	the	DET
ajase-5751	88	8	outcome	outcome	NOUN
ajase-5751	88	9	of	of	ADP
ajase-5751	88	10	the	the	DET
ajase-5751	88	11	estimation	estimation	NOUN
ajase-5751	88	12	of	of	ADP
ajase-5751	88	13	the	the	DET
ajase-5751	88	14	model	model	NOUN
ajase-5751	88	15	of	of	ADP
ajase-5751	88	16	this	this	DET
ajase-5751	88	17	study	study	NOUN
ajase-5751	88	18	.	.	PUNCT
ajase-5751	89	1	this	this	PRON
ajase-5751	89	2	begins	begin	VERB
ajase-5751	89	3	with	with	ADP
ajase-5751	89	4	the	the	DET
ajase-5751	89	5	forecast	forecast	NOUN
ajase-5751	89	6	of	of	ADP
ajase-5751	89	7	private	private	ADJ
ajase-5751	89	8	sector	sector	NOUN
ajase-5751	89	9	aum	aum	PROPN
ajase-5751	89	10	using	use	VERB
ajase-5751	89	11	the	the	DET
ajase-5751	89	12	arima	arima	NOUN
ajase-5751	89	13	.	.	PUNCT
ajase-5751	90	1	for	for	ADP
ajase-5751	90	2	this	this	DET
ajase-5751	90	3	study	study	NOUN
ajase-5751	90	4	,	,	PUNCT
ajase-5751	90	5	the	the	DET
ajase-5751	90	6	result	result	NOUN
ajase-5751	90	7	presented	present	VERB
ajase-5751	90	8	in	in	ADP
ajase-5751	90	9	chart	chart	NOUN
ajase-5751	90	10	1	1	NUM
ajase-5751	90	11	proves	prove	VERB
ajase-5751	90	12	that	that	SCONJ
ajase-5751	90	13	private	private	ADJ
ajase-5751	90	14	sector	sector	NOUN
ajase-5751	90	15	figure	figure	NOUN
ajase-5751	90	16	2	2	NUM
ajase-5751	90	17	:	:	PUNCT
ajase-5751	90	18	arima	arima	PROPN
ajase-5751	90	19	forecast	forecast	NOUN
ajase-5751	90	20	of	of	ADP
ajase-5751	90	21	private	private	ADJ
ajase-5751	90	22	sector	sector	NOUN
ajase-5751	90	23	pension	pension	NOUN
ajase-5751	90	24	aum	aum	PROPN
ajase-5751	90	25	(	(	PUNCT
ajase-5751	90	26	ghs	ghs	PROPN
ajase-5751	90	27	’	'	PUNCT
ajase-5751	90	28	billion	billion	NUM
ajase-5751	90	29	)	)	PUNCT
ajase-5751	90	30	to	to	ADP
ajase-5751	90	31	2040	2040	NUM
ajase-5751	90	32	figure	figure	NOUN
ajase-5751	90	33	3	3	NUM
ajase-5751	90	34	:	:	PUNCT
ajase-5751	90	35	sarimax	sarimax	NOUN
ajase-5751	90	36	results	result	VERB
ajase-5751	90	37	pensions	pension	NOUN
ajase-5751	90	38	aum	aum	PROPN
ajase-5751	90	39	is	be	AUX
ajase-5751	90	40	projected	project	VERB
ajase-5751	90	41	to	to	PART
ajase-5751	90	42	grow	grow	VERB
ajase-5751	90	43	steeply	steeply	ADV
ajase-5751	90	44	by	by	ADP
ajase-5751	90	45	2040	2040	NUM
ajase-5751	90	46	.	.	PUNCT
ajase-5751	91	1	figure	figure	VERB
ajase-5751	91	2	3	3	NUM
ajase-5751	91	3	presents	present	VERB
ajase-5751	91	4	the	the	DET
ajase-5751	91	5	estimtaed	estimtae	VERB
ajase-5751	91	6	results	result	NOUN
ajase-5751	91	7	of	of	ADP
ajase-5751	91	8	the	the	DET
ajase-5751	91	9	sarimax	sarimax	ADJ
ajase-5751	91	10	method	method	NOUN
ajase-5751	91	11	for	for	ADP
ajase-5751	91	12	ghana	ghana	PROPN
ajase-5751	91	13	’s	’s	PART
ajase-5751	91	14	private	private	ADJ
ajase-5751	91	15	pensions	pension	NOUN
ajase-5751	91	16	aum	aum	PROPN
ajase-5751	91	17	.	.	PUNCT
ajase-5751	92	1	the	the	DET
ajase-5751	92	2	ar	ar	PROPN
ajase-5751	92	3	(	(	PUNCT
ajase-5751	92	4	autoregressive	autoregressive	ADJ
ajase-5751	92	5	)	)	PUNCT
ajase-5751	92	6	term	term	NOUN
ajase-5751	92	7	has	have	VERB
ajase-5751	92	8	a	a	DET
ajase-5751	92	9	coefficient	coefficient	NOUN
ajase-5751	92	10	of	of	ADP
ajase-5751	92	11	0.9693	0.9693	NUM
ajase-5751	92	12	,	,	PUNCT
ajase-5751	92	13	which	which	PRON
ajase-5751	92	14	is	be	AUX
ajase-5751	92	15	significant	significant	ADJ
ajase-5751	92	16	(	(	PUNCT
ajase-5751	92	17	p	p	NOUN
ajase-5751	92	18	-	-	PUNCT
ajase-5751	92	19	value	value	NOUN
ajase-5751	92	20	0.000	0.000	NUM
ajase-5751	92	21	)	)	PUNCT
ajase-5751	92	22	.	.	PUNCT
ajase-5751	93	1	this	this	PRON
ajase-5751	93	2	indicates	indicate	VERB
ajase-5751	93	3	a	a	DET
ajase-5751	93	4	strong	strong	ADJ
ajase-5751	93	5	influence	influence	NOUN
ajase-5751	93	6	of	of	ADP
ajase-5751	93	7	past	past	ADJ
ajase-5751	93	8	values	value	NOUN
ajase-5751	93	9	on	on	ADP
ajase-5751	93	10	the	the	DET
ajase-5751	93	11	current	current	ADJ
ajase-5751	93	12	value	value	NOUN
ajase-5751	93	13	of	of	ADP
ajase-5751	93	14	the	the	DET
ajase-5751	93	15	dependent	dependent	ADJ
ajase-5751	93	16	variable	variable	NOUN
ajase-5751	93	17	.	.	PUNCT
ajase-5751	94	1	the	the	DET
ajase-5751	94	2	variance	variance	NOUN
ajase-5751	94	3	of	of	ADP
ajase-5751	94	4	the	the	DET
ajase-5751	94	5	error	error	NOUN
ajase-5751	94	6	term	term	NOUN
ajase-5751	94	7	is	be	AUX
ajase-5751	94	8	relatively	relatively	ADV
ajase-5751	94	9	high	high	ADJ
ajase-5751	94	10	with	with	ADP
ajase-5751	94	11	a	a	DET
ajase-5751	94	12	coefficient	coefficient	NOUN
ajase-5751	94	13	of	of	ADP
ajase-5751	94	14	3.2070	3.2070	NUM
ajase-5751	94	15	and	and	CCONJ
ajase-5751	94	16	a	a	DET
ajase-5751	94	17	marginally	marginally	ADV
ajase-5751	94	18	significant	significant	ADJ
ajase-5751	94	19	p	p	NOUN
ajase-5751	94	20	-	-	PUNCT
ajase-5751	94	21	value	value	NOUN
ajase-5751	94	22	(	(	PUNCT
ajase-5751	94	23	0.060	0.060	NUM
ajase-5751	94	24	)	)	PUNCT
ajase-5751	94	25	,	,	PUNCT
ajase-5751	94	26	suggesting	suggest	VERB
ajase-5751	94	27	some	some	DET
ajase-5751	94	28	level	level	NOUN
ajase-5751	94	29	of	of	ADP
ajase-5751	94	30	uncertainty	uncertainty	NOUN
ajase-5751	94	31	in	in	ADP
ajase-5751	94	32	the	the	DET
ajase-5751	94	33	model	model	NOUN
ajase-5751	94	34	.	.	PUNCT
ajase-5751	95	1	the	the	DET
ajase-5751	95	2	diagnostic	diagnostic	ADJ
ajase-5751	95	3	tests	test	NOUN
ajase-5751	95	4	suggest	suggest	VERB
ajase-5751	95	5	that	that	SCONJ
ajase-5751	95	6	the	the	DET
ajase-5751	95	7	residuals	residual	NOUN
ajase-5751	95	8	are	be	AUX
ajase-5751	95	9	not	not	PART
ajase-5751	95	10	auto	auto	NOUN
ajase-5751	95	11	-	-	PUNCT
ajase-5751	95	12	correlated	correlate	VERB
ajase-5751	95	13	(	(	PUNCT
ajase-5751	95	14	ljung	ljung	ADJ
ajase-5751	95	15	-	-	PUNCT
ajase-5751	95	16	box	box	NOUN
ajase-5751	95	17	test	test	NOUN
ajase-5751	95	18	)	)	PUNCT
ajase-5751	95	19	and	and	CCONJ
ajase-5751	95	20	are	be	AUX
ajase-5751	95	21	normally	normally	ADV
ajase-5751	95	22	distributed	distribute	VERB
ajase-5751	95	23	(	(	PUNCT
ajase-5751	95	24	jarque	jarque	NOUN
ajase-5751	95	25	-	-	PUNCT
ajase-5751	95	26	bera	bera	NOUN
ajase-5751	95	27	test	test	NOUN
ajase-5751	95	28	)	)	PUNCT
ajase-5751	95	29	.	.	PUNCT
ajase-5751	96	1	the	the	DET
ajase-5751	96	2	heteroskedasticity	heteroskedasticity	NOUN
ajase-5751	96	3	test	test	NOUN
ajase-5751	96	4	indicates	indicate	VERB
ajase-5751	96	5	no	no	DET
ajase-5751	96	6	significant	significant	ADJ
ajase-5751	96	7	heteroskedasticity	heteroskedasticity	NOUN
ajase-5751	96	8	.	.	PUNCT
ajase-5751	97	1	the	the	DET
ajase-5751	97	2	performance	performance	NOUN
ajase-5751	97	3	metrics	metric	NOUN
ajase-5751	97	4	indicate	indicate	VERB
ajase-5751	97	5	that	that	SCONJ
ajase-5751	97	6	the	the	DET
ajase-5751	97	7	model	model	NOUN
ajase-5751	97	8	’s	’s	PART
ajase-5751	97	9	predictions	prediction	NOUN
ajase-5751	97	10	have	have	VERB
ajase-5751	97	11	a	a	DET
ajase-5751	97	12	mean	mean	ADJ
ajase-5751	97	13	absolute	absolute	ADJ
ajase-5751	97	14	error	error	NOUN
ajase-5751	97	15	of	of	ADP
ajase-5751	97	16	5.99	5.99	NUM
ajase-5751	97	17	,	,	PUNCT
ajase-5751	97	18	root	root	NOUN
ajase-5751	97	19	mean	mean	VERB
ajase-5751	97	20	squared	square	VERB
ajase-5751	97	21	error	error	NOUN
ajase-5751	97	22	of	of	ADP
ajase-5751	97	23	13.89	13.89	NUM
ajase-5751	97	24	,	,	PUNCT
ajase-5751	97	25	and	and	CCONJ
ajase-5751	97	26	mean	mean	VERB
ajase-5751	97	27	absolute	absolute	ADJ
ajase-5751	97	28	percentage	percentage	NOUN
ajase-5751	97	29	error	error	NOUN
ajase-5751	97	30	of	of	ADP
ajase-5751	97	31	23.97	23.97	NUM
ajase-5751	97	32	%	%	NOUN
ajase-5751	97	33	.	.	PUNCT
ajase-5751	98	1	overall	overall	ADV
ajase-5751	98	2	,	,	PUNCT
ajase-5751	98	3	the	the	DET
ajase-5751	98	4	sarimax	sarimax	ADJ
ajase-5751	98	5	model	model	NOUN
ajase-5751	98	6	seems	seem	VERB
ajase-5751	98	7	to	to	PART
ajase-5751	98	8	fit	fit	VERB
ajase-5751	98	9	the	the	DET
ajase-5751	98	10	data	datum	NOUN
ajase-5751	98	11	well	well	ADV
ajase-5751	98	12	with	with	ADP
ajase-5751	98	13	significant	significant	ADJ
ajase-5751	98	14	ar	ar	NOUN
ajase-5751	98	15	term	term	NOUN
ajase-5751	98	16	and	and	CCONJ
ajase-5751	98	17	acceptable	acceptable	ADJ
ajase-5751	98	18	performance	performance	NOUN
ajase-5751	98	19	metrics	metric	NOUN
ajase-5751	98	20	.	.	PUNCT
ajase-5751	99	1	however	however	ADV
ajase-5751	99	2	,	,	PUNCT
ajase-5751	99	3	the	the	DET
ajase-5751	99	4	high	high	ADJ
ajase-5751	99	5	variance	variance	NOUN
ajase-5751	99	6	of	of	ADP
ajase-5751	99	7	the	the	DET
ajase-5751	99	8	error	error	NOUN
ajase-5751	99	9	term	term	NOUN
ajase-5751	99	10	suggests	suggest	VERB
ajase-5751	99	11	that	that	SCONJ
ajase-5751	99	12	there	there	PRON
ajase-5751	99	13	is	be	VERB
ajase-5751	99	14	some	some	DET
ajase-5751	99	15	uncertainty	uncertainty	NOUN
ajase-5751	99	16	in	in	ADP
ajase-5751	99	17	the	the	DET
ajase-5751	99	18	model	model	NOUN
ajase-5751	99	19	’s	’s	PART
ajase-5751	99	20	predictions	prediction	NOUN
ajase-5751	99	21	.	.	PUNCT
ajase-5751	100	1	figure	figure	NOUN
ajase-5751	100	2	3	3	NUM
ajase-5751	100	3	shows	show	VERB
ajase-5751	100	4	diagnostic	diagnostic	ADJ
ajase-5751	100	5	plots	plot	NOUN
ajase-5751	100	6	for	for	ADP
ajase-5751	100	7	a	a	DET
ajase-5751	100	8	statistical	statistical	ADJ
ajase-5751	100	9	model	model	NOUN
ajase-5751	100	10	.	.	PUNCT
ajase-5751	101	1	these	these	DET
ajase-5751	101	2	plots	plot	NOUN
ajase-5751	101	3	are	be	AUX
ajase-5751	101	4	essential	essential	ADJ
ajase-5751	101	5	for	for	ADP
ajase-5751	101	6	diagnosing	diagnose	VERB
ajase-5751	101	7	and	and	CCONJ
ajase-5751	101	8	validating	validate	VERB
ajase-5751	101	9	the	the	DET
ajase-5751	101	10	model	model	NOUN
ajase-5751	101	11	’s	’s	PART
ajase-5751	101	12	assumptions	assumption	NOUN
ajase-5751	101	13	and	and	CCONJ
ajase-5751	101	14	fit	fit	ADJ
ajase-5751	101	15	.	.	PUNCT
ajase-5751	102	1	standardized	standardized	ADJ
ajase-5751	102	2	residuals	residual	NOUN
ajase-5751	102	3	for	for	ADP
ajase-5751	102	4	“	"	PUNCT
ajase-5751	102	5	p	p	NOUN
ajase-5751	102	6	”	"	PUNCT
ajase-5751	102	7	this	this	DET
ajase-5751	102	8	plot	plot	NOUN
ajase-5751	102	9	displays	display	VERB
ajase-5751	102	10	the	the	DET
ajase-5751	102	11	standardized	standardized	ADJ
ajase-5751	102	12	residuals	residual	NOUN
ajase-5751	102	13	(	(	PUNCT
ajase-5751	102	14	differences	difference	NOUN
ajase-5751	102	15	between	between	ADP
ajase-5751	102	16	observed	observed	ADJ
ajase-5751	102	17	and	and	CCONJ
ajase-5751	102	18	predicted	predict	VERB
ajase-5751	102	19	values	value	NOUN
ajase-5751	102	20	)	)	PUNCT
ajase-5751	102	21	for	for	ADP
ajase-5751	102	22	a	a	DET
ajase-5751	102	23	variable	variable	NOUN
ajase-5751	102	24	labeled	label	VERB
ajase-5751	102	25	“	"	PUNCT
ajase-5751	102	26	p	p	NOUN
ajase-5751	102	27	”	"	PUNCT
ajase-5751	102	28	across	across	ADP
ajase-5751	102	29	different	different	ADJ
ajase-5751	102	30	observations	observation	NOUN
ajase-5751	102	31	.	.	PUNCT
ajase-5751	103	1	the	the	DET
ajase-5751	103	2	residuals	residual	NOUN
ajase-5751	103	3	fluctuate	fluctuate	NOUN
ajase-5751	103	4	around	around	ADP
ajase-5751	103	5	the	the	DET
ajase-5751	103	6	zero	zero	NUM
ajase-5751	103	7	line	line	NOUN
ajase-5751	103	8	,	,	PUNCT
ajase-5751	103	9	indicating	indicate	VERB
ajase-5751	103	10	how	how	SCONJ
ajase-5751	103	11	well	well	ADV
ajase-5751	103	12	the	the	DET
ajase-5751	103	13	model	model	NOUN
ajase-5751	103	14	’s	’s	PART
ajase-5751	103	15	predictions	prediction	NOUN
ajase-5751	103	16	match	match	VERB
ajase-5751	103	17	the	the	DET
ajase-5751	103	18	actual	actual	ADJ
ajase-5751	103	19	data	datum	NOUN
ajase-5751	103	20	.	.	PUNCT
ajase-5751	104	1	histogram	histogram	PROPN
ajase-5751	104	2	plus	plus	CCONJ
ajase-5751	104	3	estimated	estimate	VERB
ajase-5751	104	4	density	density	NOUN
ajase-5751	104	5	this	this	DET
ajase-5751	104	6	plot	plot	NOUN
ajase-5751	104	7	combines	combine	VERB
ajase-5751	104	8	a	a	DET
ajase-5751	104	9	histogram	histogram	NOUN
ajase-5751	104	10	of	of	ADP
ajase-5751	104	11	the	the	DET
ajase-5751	104	12	residuals	residual	NOUN
ajase-5751	104	13	with	with	ADP
ajase-5751	104	14	pa	pa	PROPN
ajase-5751	104	15	ge	ge	PROPN
ajase-5751	104	16	11	11	NUM
ajase-5751	104	17	6	6	NUM
ajase-5751	104	18	https://journals.e-palli.com/home/index.php/ajase	https://journals.e-palli.com/home/index.php/ajase	PROPN
ajase-5751	104	19	am	am	NOUN
ajase-5751	104	20	.	.	PUNCT
ajase-5751	105	1	j.	j.	PROPN
ajase-5751	105	2	appl	appl	PROPN
ajase-5751	105	3	.	.	PROPN
ajase-5751	106	1	stat	stat	PROPN
ajase-5751	106	2	.	.	PUNCT
ajase-5751	107	1	econ	econ	PROPN
ajase-5751	107	2	.	.	PUNCT
ajase-5751	108	1	4(1	4(1	X
ajase-5751	108	2	)	)	PUNCT
ajase-5751	109	1	112	112	NUM
ajase-5751	109	2	-	-	SYM
ajase-5751	109	3	118	118	NUM
ajase-5751	109	4	,	,	PUNCT
ajase-5751	109	5	2025	2025	NUM
ajase-5751	109	6	figure	figure	NOUN
ajase-5751	109	7	4	4	NUM
ajase-5751	109	8	:	:	PUNCT
ajase-5751	109	9	diagnostic	diagnostic	ADJ
ajase-5751	109	10	plots	plot	NOUN
ajase-5751	109	11	for	for	ADP
ajase-5751	109	12	a	a	DET
ajase-5751	109	13	statistical	statistical	ADJ
ajase-5751	109	14	model	model	NOUN
ajase-5751	109	15	estimated	estimate	VERB
ajase-5751	109	16	density	density	NOUN
ajase-5751	109	17	curves	curve	NOUN
ajase-5751	109	18	:	:	PUNCT
ajase-5751	109	19	-histogram	-histogram	NOUN
ajase-5751	109	20	bars	bar	NOUN
ajase-5751	109	21	:	:	PUNCT
ajase-5751	109	22	show	show	VERB
ajase-5751	109	23	the	the	DET
ajase-5751	109	24	frequency	frequency	NOUN
ajase-5751	109	25	of	of	ADP
ajase-5751	109	26	residuals	residual	NOUN
ajase-5751	109	27	,	,	PUNCT
ajase-5751	109	28	orange	orange	ADJ
ajase-5751	109	29	line	line	NOUN
ajase-5751	109	30	:	:	PUNCT
ajase-5751	109	31	kernel	kernel	PROPN
ajase-5751	109	32	density	density	NOUN
ajase-5751	109	33	estimate	estimate	NOUN
ajase-5751	109	34	(	(	PUNCT
ajase-5751	109	35	kde	kde	PROPN
ajase-5751	109	36	)	)	PUNCT
ajase-5751	109	37	a	a	DET
ajase-5751	109	38	smoothed	smoothed	ADJ
ajase-5751	109	39	version	version	NOUN
ajase-5751	109	40	of	of	ADP
ajase-5751	109	41	the	the	DET
ajase-5751	109	42	histogram	histogram	NOUN
ajase-5751	109	43	and	and	CCONJ
ajase-5751	109	44	green	green	ADJ
ajase-5751	109	45	line	line	NOUN
ajase-5751	109	46	:	:	PUNCT
ajase-5751	109	47	represents	represent	VERB
ajase-5751	109	48	the	the	DET
ajase-5751	109	49	standard	standard	ADJ
ajase-5751	109	50	normal	normal	ADJ
ajase-5751	109	51	distribution	distribution	NOUN
ajase-5751	109	52	(	(	PUNCT
ajase-5751	109	53	n(0,1	n(0,1	NOUN
ajase-5751	109	54	)	)	PUNCT
ajase-5751	109	55	)	)	PUNCT
ajase-5751	109	56	.	.	PUNCT
ajase-5751	110	1	the	the	DET
ajase-5751	110	2	alignment	alignment	NOUN
ajase-5751	110	3	of	of	ADP
ajase-5751	110	4	the	the	DET
ajase-5751	110	5	orange	orange	ADJ
ajase-5751	110	6	and	and	CCONJ
ajase-5751	110	7	green	green	ADJ
ajase-5751	110	8	lines	line	NOUN
ajase-5751	110	9	with	with	ADP
ajase-5751	110	10	the	the	DET
ajase-5751	110	11	histogram	histogram	NOUN
ajase-5751	110	12	bars	bar	NOUN
ajase-5751	110	13	suggests	suggest	VERB
ajase-5751	110	14	whether	whether	SCONJ
ajase-5751	110	15	the	the	DET
ajase-5751	110	16	residuals	residual	NOUN
ajase-5751	110	17	follow	follow	VERB
ajase-5751	110	18	a	a	DET
ajase-5751	110	19	normal	normal	ADJ
ajase-5751	110	20	distribution	distribution	NOUN
ajase-5751	110	21	.	.	PUNCT
ajase-5751	111	1	normal	normal	ADJ
ajase-5751	111	2	q	q	ADJ
ajase-5751	111	3	-	-	PUNCT
ajase-5751	111	4	q	q	NOUN
ajase-5751	111	5	plot	plot	NOUN
ajase-5751	111	6	a	a	DET
ajase-5751	111	7	quantile	quantile	NOUN
ajase-5751	111	8	-	-	PUNCT
ajase-5751	111	9	quantile	quantile	NOUN
ajase-5751	111	10	(	(	PUNCT
ajase-5751	111	11	q	q	NOUN
ajase-5751	111	12	-	-	PUNCT
ajase-5751	111	13	q	q	NOUN
ajase-5751	111	14	)	)	PUNCT
ajase-5751	111	15	plot	plot	NOUN
ajase-5751	111	16	compares	compare	VERB
ajase-5751	111	17	the	the	DET
ajase-5751	111	18	sample	sample	NOUN
ajase-5751	111	19	quantiles	quantile	NOUN
ajase-5751	111	20	of	of	ADP
ajase-5751	111	21	the	the	DET
ajase-5751	111	22	residuals	residual	NOUN
ajase-5751	111	23	to	to	ADP
ajase-5751	111	24	the	the	DET
ajase-5751	111	25	theoretical	theoretical	ADJ
ajase-5751	111	26	quantiles	quantile	NOUN
ajase-5751	111	27	of	of	ADP
ajase-5751	111	28	a	a	DET
ajase-5751	111	29	standard	standard	ADJ
ajase-5751	111	30	normal	normal	ADJ
ajase-5751	111	31	distribution	distribution	NOUN
ajase-5751	111	32	:	:	PUNCT
ajase-5751	111	33	red	red	ADJ
ajase-5751	111	34	line	line	NOUN
ajase-5751	111	35	:	:	PUNCT
ajase-5751	111	36	represents	represent	VERB
ajase-5751	111	37	the	the	DET
ajase-5751	111	38	expected	expect	VERB
ajase-5751	111	39	line	line	NOUN
ajase-5751	111	40	for	for	ADP
ajase-5751	111	41	normally	normally	ADV
ajase-5751	111	42	distributed	distribute	VERB
ajase-5751	111	43	residuals	residual	NOUN
ajase-5751	111	44	and	and	CCONJ
ajase-5751	111	45	points	point	NOUN
ajase-5751	111	46	:	:	PUNCT
ajase-5751	111	47	represent	represent	VERB
ajase-5751	111	48	the	the	DET
ajase-5751	111	49	actual	actual	ADJ
ajase-5751	111	50	residuals	residual	NOUN
ajase-5751	111	51	.	.	PUNCT
ajase-5751	112	1	the	the	PRON
ajase-5751	112	2	closer	close	ADV
ajase-5751	112	3	the	the	DET
ajase-5751	112	4	points	point	NOUN
ajase-5751	112	5	are	be	AUX
ajase-5751	112	6	to	to	ADP
ajase-5751	112	7	the	the	DET
ajase-5751	112	8	red	red	ADJ
ajase-5751	112	9	line	line	NOUN
ajase-5751	112	10	,	,	PUNCT
ajase-5751	112	11	the	the	PRON
ajase-5751	112	12	more	more	ADV
ajase-5751	112	13	normally	normally	ADV
ajase-5751	112	14	distributed	distribute	VERB
ajase-5751	112	15	the	the	DET
ajase-5751	112	16	residuals	residual	NOUN
ajase-5751	112	17	are	be	AUX
ajase-5751	112	18	.	.	PUNCT
ajase-5751	113	1	correlogram	correlogram	NOUN
ajase-5751	113	2	this	this	DET
ajase-5751	113	3	plot	plot	NOUN
ajase-5751	113	4	shows	show	VERB
ajase-5751	113	5	the	the	DET
ajase-5751	113	6	autocorrelation	autocorrelation	NOUN
ajase-5751	113	7	of	of	ADP
ajase-5751	113	8	the	the	DET
ajase-5751	113	9	residuals	residual	NOUN
ajase-5751	113	10	at	at	ADP
ajase-5751	113	11	different	different	ADJ
ajase-5751	113	12	lags	lag	NOUN
ajase-5751	113	13	:	:	PUNCT
ajase-5751	113	14	points	point	NOUN
ajase-5751	113	15	with	with	ADP
ajase-5751	113	16	error	error	NOUN
ajase-5751	113	17	bars	bar	NOUN
ajase-5751	113	18	:	:	PUNCT
ajase-5751	113	19	indicate	indicate	VERB
ajase-5751	113	20	the	the	DET
ajase-5751	113	21	correlation	correlation	NOUN
ajase-5751	113	22	values	value	NOUN
ajase-5751	113	23	at	at	ADP
ajase-5751	113	24	various	various	ADJ
ajase-5751	113	25	lags	lag	NOUN
ajase-5751	113	26	and	and	CCONJ
ajase-5751	113	27	the	the	DET
ajase-5751	113	28	shaded	shaded	ADJ
ajase-5751	113	29	area	area	NOUN
ajase-5751	113	30	:	:	PUNCT
ajase-5751	113	31	represents	represent	VERB
ajase-5751	113	32	the	the	DET
ajase-5751	113	33	confidence	confidence	NOUN
ajase-5751	113	34	interval	interval	NOUN
ajase-5751	113	35	.	.	PUNCT
ajase-5751	114	1	values	value	NOUN
ajase-5751	114	2	within	within	ADP
ajase-5751	114	3	the	the	DET
ajase-5751	114	4	shaded	shaded	ADJ
ajase-5751	114	5	area	area	NOUN
ajase-5751	114	6	suggest	suggest	VERB
ajase-5751	114	7	no	no	DET
ajase-5751	114	8	significant	significant	ADJ
ajase-5751	114	9	autocorrelation	autocorrelation	NOUN
ajase-5751	114	10	,	,	PUNCT
ajase-5751	114	11	indicating	indicate	VERB
ajase-5751	114	12	the	the	DET
ajase-5751	114	13	residuals	residual	NOUN
ajase-5751	114	14	are	be	AUX
ajase-5751	114	15	independent	independent	ADJ
ajase-5751	114	16	over	over	ADP
ajase-5751	114	17	time	time	NOUN
ajase-5751	114	18	.	.	PUNCT
ajase-5751	115	1	table	table	NOUN
ajase-5751	115	2	3	3	NUM
ajase-5751	115	3	shows	show	VERB
ajase-5751	115	4	the	the	DET
ajase-5751	115	5	results	result	NOUN
ajase-5751	115	6	of	of	ADP
ajase-5751	115	7	a	a	DET
ajase-5751	115	8	dickey	dickey	NOUN
ajase-5751	115	9	-	-	PUNCT
ajase-5751	115	10	fuller	full	ADJ
ajase-5751	115	11	test	test	NOUN
ajase-5751	115	12	,	,	PUNCT
ajase-5751	115	13	which	which	PRON
ajase-5751	115	14	is	be	AUX
ajase-5751	115	15	used	use	VERB
ajase-5751	115	16	to	to	PART
ajase-5751	115	17	test	test	VERB
ajase-5751	115	18	for	for	ADP
ajase-5751	115	19	the	the	DET
ajase-5751	115	20	presence	presence	NOUN
ajase-5751	115	21	of	of	ADP
ajase-5751	115	22	a	a	DET
ajase-5751	115	23	unit	unit	NOUN
ajase-5751	115	24	root	root	NOUN
ajase-5751	115	25	in	in	ADP
ajase-5751	115	26	a	a	DET
ajase-5751	115	27	time	time	NOUN
ajase-5751	115	28	series	series	NOUN
ajase-5751	115	29	sample	sample	NOUN
ajase-5751	115	30	.	.	PUNCT
ajase-5751	116	1	the	the	DET
ajase-5751	116	2	test	test	NOUN
ajase-5751	116	3	statistic	statistic	NOUN
ajase-5751	116	4	of	of	ADP
ajase-5751	116	5	-5.3314	-5.3314	PROPN
ajase-5751	116	6	is	be	AUX
ajase-5751	116	7	more	more	ADV
ajase-5751	116	8	negative	negative	ADJ
ajase-5751	116	9	than	than	ADP
ajase-5751	116	10	all	all	DET
ajase-5751	116	11	the	the	DET
ajase-5751	116	12	critical	critical	ADJ
ajase-5751	116	13	values	value	NOUN
ajase-5751	116	14	at	at	ADP
ajase-5751	116	15	the	the	DET
ajase-5751	116	16	1	1	NUM
ajase-5751	116	17	%	%	NOUN
ajase-5751	116	18	,	,	PUNCT
ajase-5751	116	19	5	5	NUM
ajase-5751	116	20	%	%	NOUN
ajase-5751	116	21	,	,	PUNCT
ajase-5751	116	22	and	and	CCONJ
ajase-5751	116	23	10	10	NUM
ajase-5751	116	24	%	%	NOUN
ajase-5751	116	25	significance	significance	NOUN
ajase-5751	116	26	levels	level	NOUN
ajase-5751	116	27	.	.	PUNCT
ajase-5751	117	1	combined	combine	VERB
ajase-5751	117	2	with	with	ADP
ajase-5751	117	3	the	the	DET
ajase-5751	117	4	very	very	ADV
ajase-5751	117	5	low	low	ADJ
ajase-5751	117	6	p	p	NOUN
ajase-5751	117	7	-	-	PUNCT
ajase-5751	117	8	value	value	NOUN
ajase-5751	117	9	,	,	PUNCT
ajase-5751	117	10	this	this	PRON
ajase-5751	117	11	provides	provide	VERB
ajase-5751	117	12	strong	strong	ADJ
ajase-5751	117	13	evidence	evidence	NOUN
ajase-5751	117	14	to	to	PART
ajase-5751	117	15	reject	reject	VERB
ajase-5751	117	16	the	the	DET
ajase-5751	117	17	null	null	ADJ
ajase-5751	117	18	hypothesis	hypothesis	NOUN
ajase-5751	117	19	.	.	PUNCT
ajase-5751	118	1	this	this	PRON
ajase-5751	118	2	suggests	suggest	VERB
ajase-5751	118	3	that	that	SCONJ
ajase-5751	118	4	the	the	DET
ajase-5751	118	5	time	time	NOUN
ajase-5751	118	6	series	series	PROPN
ajase-5751	118	7	is	be	AUX
ajase-5751	118	8	stationary	stationary	ADJ
ajase-5751	118	9	and	and	CCONJ
ajase-5751	118	10	does	do	AUX
ajase-5751	118	11	not	not	PART
ajase-5751	118	12	have	have	VERB
ajase-5751	118	13	a	a	DET
ajase-5751	118	14	unit	unit	NOUN
ajase-5751	118	15	root	root	NOUN
ajase-5751	118	16	.	.	PUNCT
ajase-5751	119	1	chart	chart	NOUN
ajase-5751	119	2	5	5	NUM
ajase-5751	119	3	present	present	ADJ
ajase-5751	119	4	the	the	DET
ajase-5751	119	5	times	times	PROPN
ajase-5751	119	6	series	series	NOUN
ajase-5751	119	7	plots	plot	NOUN
ajase-5751	119	8	of	of	ADP
ajase-5751	119	9	the	the	DET
ajase-5751	119	10	private	private	ADJ
ajase-5751	119	11	sector	sector	NOUN
ajase-5751	119	12	table	table	NOUN
ajase-5751	119	13	3	3	NUM
ajase-5751	119	14	:	:	PUNCT
ajase-5751	119	15	dickey	dickey	ADJ
ajase-5751	119	16	-	-	PUNCT
ajase-5751	119	17	fuller	full	ADJ
ajase-5751	119	18	test	test	NOUN
ajase-5751	119	19	result	result	VERB
ajase-5751	119	20	metric	metric	ADJ
ajase-5751	119	21	value	value	NOUN
ajase-5751	119	22	test	test	NOUN
ajase-5751	119	23	statistic	statistic	NOUN
ajase-5751	119	24	-5.331440528065261	-5.331440528065261	NOUN
ajase-5751	120	1	p	p	NOUN
ajase-5751	120	2	-	-	PUNCT
ajase-5751	120	3	value	value	NOUN
ajase-5751	120	4	4.711563618849688e-06	4.711563618849688e-06	NUM
ajase-5751	120	5	#	#	NOUN
ajase-5751	120	6	lags	lag	NOUN
ajase-5751	120	7	used	use	VERB
ajase-5751	120	8	2.0	2.0	NUM
ajase-5751	120	9	number	number	NOUN
ajase-5751	120	10	of	of	ADP
ajase-5751	120	11	observations	observation	NOUN
ajase-5751	120	12	used	use	VERB
ajase-5751	120	13	9.0	9.0	NUM
ajase-5751	120	14	critical	critical	ADJ
ajase-5751	120	15	value	value	NOUN
ajase-5751	120	16	(	(	PUNCT
ajase-5751	120	17	1	1	NUM
ajase-5751	120	18	%	%	NOUN
ajase-5751	120	19	)	)	PUNCT
ajase-5751	121	1	-4.473135048010974	-4.473135048010974	PROPN
ajase-5751	121	2	critical	critical	ADJ
ajase-5751	121	3	value	value	NOUN
ajase-5751	121	4	(	(	PUNCT
ajase-5751	121	5	5	5	NUM
ajase-5751	121	6	%	%	NOUN
ajase-5751	121	7	)	)	PUNCT
ajase-5751	121	8	-3.28988060356653	-3.28988060356653	NOUN
ajase-5751	122	1	critical	critical	ADJ
ajase-5751	122	2	value	value	NOUN
ajase-5751	122	3	(	(	PUNCT
ajase-5751	122	4	10	10	NUM
ajase-5751	122	5	%	%	NOUN
ajase-5751	122	6	)	)	PUNCT
ajase-5751	122	7	-2.7723823456790124	-2.7723823456790124	NOUN
ajase-5751	123	1	over	over	ADP
ajase-5751	123	2	the	the	DET
ajase-5751	123	3	last	last	ADJ
ajase-5751	123	4	12	12	NUM
ajase-5751	123	5	years	year	NOUN
ajase-5751	123	6	indicating	indicate	VERB
ajase-5751	123	7	that	that	SCONJ
ajase-5751	123	8	the	the	DET
ajase-5751	123	9	aum	aum	PROPN
ajase-5751	123	10	of	of	ADP
ajase-5751	123	11	private	private	ADJ
ajase-5751	123	12	pensions	pension	NOUN
ajase-5751	123	13	has	have	AUX
ajase-5751	123	14	always	always	ADV
ajase-5751	123	15	been	be	AUX
ajase-5751	123	16	on	on	ADP
ajase-5751	123	17	the	the	DET
ajase-5751	123	18	upward	upward	ADJ
ajase-5751	123	19	trajectory	trajectory	NOUN
ajase-5751	123	20	.	.	PUNCT
ajase-5751	123	21	table	table	NOUN
ajase-5751	123	22	4	4	NUM
ajase-5751	123	23	presents	present	NOUN
ajase-5751	123	24	on	on	ADP
ajase-5751	123	25	the	the	DET
ajase-5751	123	26	forcasted	forcaste	VERB
ajase-5751	123	27	times	times	PROPN
ajase-5751	123	28	series	series	PROPN
ajase-5751	123	29	values	value	NOUN
ajase-5751	123	30	of	of	ADP
ajase-5751	123	31	the	the	DET
ajase-5751	123	32	private	private	ADJ
ajase-5751	123	33	sector	sector	NOUN
ajase-5751	123	34	aum	aum	PROPN
ajase-5751	123	35	from	from	ADP
ajase-5751	123	36	2012	2012	NUM
ajase-5751	123	37	to	to	ADP
ajase-5751	123	38	2040	2040	NUM
ajase-5751	123	39	taking	take	VERB
ajase-5751	123	40	into	into	ADP
ajase-5751	123	41	account	account	NOUN
ajase-5751	123	42	a	a	DET
ajase-5751	123	43	95	95	NUM
ajase-5751	123	44	%	%	NOUN
ajase-5751	123	45	confidence	confidence	NOUN
ajase-5751	123	46	intervals	interval	NOUN
ajase-5751	123	47	for	for	ADP
ajase-5751	123	48	both	both	CCONJ
ajase-5751	123	49	the	the	DET
ajase-5751	123	50	lower	low	ADJ
ajase-5751	123	51	and	and	CCONJ
ajase-5751	123	52	upper	upper	ADJ
ajase-5751	123	53	bound	bind	VERB
ajase-5751	123	54	.	.	PUNCT
ajase-5751	124	1	pa	pa	PROPN
ajase-5751	124	2	ge	ge	PROPN
ajase-5751	124	3	11	11	NUM
ajase-5751	124	4	7	7	NUM
ajase-5751	124	5	https://journals.e-palli.com/home/index.php/ajase	https://journals.e-palli.com/home/index.php/ajase	PROPN
ajase-5751	124	6	am	am	NOUN
ajase-5751	124	7	.	.	PUNCT
ajase-5751	125	1	j.	j.	PROPN
ajase-5751	125	2	appl	appl	PROPN
ajase-5751	125	3	.	.	PROPN
ajase-5751	126	1	stat	stat	PROPN
ajase-5751	126	2	.	.	PUNCT
ajase-5751	127	1	econ	econ	PROPN
ajase-5751	127	2	.	.	PUNCT
ajase-5751	128	1	4(1	4(1	X
ajase-5751	128	2	)	)	PUNCT
ajase-5751	129	1	112	112	NUM
ajase-5751	129	2	-	-	SYM
ajase-5751	129	3	118	118	NUM
ajase-5751	129	4	,	,	PUNCT
ajase-5751	129	5	2025	2025	NUM
ajase-5751	129	6	figure	figure	NOUN
ajase-5751	129	7	5	5	NUM
ajase-5751	129	8	:	:	PUNCT
ajase-5751	129	9	time	time	NOUN
ajase-5751	129	10	series	series	PROPN
ajase-5751	129	11	plot	plot	NOUN
ajase-5751	129	12	table	table	NOUN
ajase-5751	129	13	4	4	NUM
ajase-5751	129	14	:	:	PUNCT
ajase-5751	129	15	forcasted	forcaste	VERB
ajase-5751	129	16	times	times	PROPN
ajase-5751	129	17	series	series	PROPN
ajase-5751	129	18	values	value	NOUN
ajase-5751	129	19	of	of	ADP
ajase-5751	129	20	the	the	DET
ajase-5751	129	21	private	private	ADJ
ajase-5751	129	22	sector	sector	NOUN
ajase-5751	129	23	aum	aum	PROPN
ajase-5751	129	24	from	from	ADP
ajase-5751	129	25	2012	2012	NUM
ajase-5751	129	26	to	to	ADP
ajase-5751	129	27	2040	2040	NUM
ajase-5751	129	28	year	year	NOUN
ajase-5751	129	29	forecasted	forecast	VERB
ajase-5751	129	30	values	value	NOUN
ajase-5751	129	31	(	(	PUNCT
ajase-5751	129	32	ghs'billion	ghs'billion	NOUN
ajase-5751	129	33	)	)	PUNCT
ajase-5751	129	34	lower	lower	ADV
ajase-5751	129	35	bound	bind	VERB
ajase-5751	129	36	(	(	PUNCT
ajase-5751	129	37	95	95	NUM
ajase-5751	129	38	%	%	NOUN
ajase-5751	129	39	ci	ci	NOUN
ajase-5751	129	40	)	)	PUNCT
ajase-5751	129	41	(	(	PUNCT
ajase-5751	129	42	ghs'billion	ghs'billion	NOUN
ajase-5751	129	43	)	)	PUNCT
ajase-5751	129	44	upper	upper	ADJ
ajase-5751	129	45	bound	bound	ADJ
ajase-5751	129	46	(	(	PUNCT
ajase-5751	129	47	95	95	NUM
ajase-5751	129	48	%	%	NOUN
ajase-5751	129	49	ci	ci	NOUN
ajase-5751	129	50	)	)	PUNCT
ajase-5751	129	51	(	(	PUNCT
ajase-5751	129	52	ghs'billion	ghs'billion	NOUN
ajase-5751	129	53	)	)	PUNCT
ajase-5751	129	54	2013	2013	NUM
ajase-5751	130	1	5.423536852	5.423536852	NUM
ajase-5751	130	2	3.275484696	3.275484696	NUM
ajase-5751	130	3	7.571589008	7.571589008	NUM
ajase-5751	130	4	2014	2014	NUM
ajase-5751	130	5	6.720661869	6.720661869	NUM
ajase-5751	130	6	-0.319161914	-0.319161914	NOUN
ajase-5751	130	7	13.76048565	13.76048565	NUM
ajase-5751	130	8	2015	2015	NUM
ajase-5751	130	9	7.247450909	7.247450909	NUM
ajase-5751	130	10	-6.312625896	-6.312625896	NOUN
ajase-5751	130	11	20.80752771	20.80752771	NUM
ajase-5751	130	12	2016	2016	NUM
ajase-5751	130	13	8.354215719	8.354215719	NUM
ajase-5751	130	14	-13.60046814	-13.60046814	SYM
ajase-5751	130	15	30.30889958	30.30889958	NUM
ajase-5751	130	16	2017	2017	NUM
ajase-5751	130	17	11.15636763	11.15636763	NUM
ajase-5751	130	18	-22.46023611	-22.46023611	SYM
ajase-5751	130	19	44.77297137	44.77297137	NUM
ajase-5751	130	20	2018	2018	NUM
ajase-5751	130	21	15.24192579	15.24192579	NUM
ajase-5751	130	22	-34.48246896	-34.48246896	SYM
ajase-5751	130	23	64.96632053	64.96632053	NUM
ajase-5751	130	24	2019	2019	NUM
ajase-5751	130	25	19.61959785	19.61959785	NUM
ajase-5751	130	26	-50.78297042	-50.78297042	SYM
ajase-5751	130	27	90.02216611	90.02216611	NUM
ajase-5751	130	28	2020	2020	NUM
ajase-5751	130	29	24.0972536	24.0972536	NUM
ajase-5751	130	30	-71.21520887	-71.21520887	SYM
ajase-5751	130	31	119.4097161	119.4097161	NUM
ajase-5751	130	32	2021	2021	NUM
ajase-5751	130	33	29.28331686	29.28331686	NUM
ajase-5751	130	34	-95.25346974	-95.25346974	SYM
ajase-5751	130	35	153.8201035	153.8201035	NUM
ajase-5751	130	36	2022	2022	NUM
ajase-5751	130	37	35.6109406	35.6109406	NUM
ajase-5751	130	38	-123.0317088	-123.0317088	NUM
ajase-5751	130	39	194.25359	194.25359	NUM
ajase-5751	130	40	2023	2023	NUM
ajase-5751	130	41	42.86059712	42.86059712	NUM
ajase-5751	131	1	-155.3054794	-155.3054794	NUM
ajase-5751	131	2	241.0266737	241.0266737	NUM
ajase-5751	131	3	2024	2024	NUM
ajase-5751	131	4	50.61826353	50.61826353	NUM
ajase-5751	131	5	-192.6798141	-192.6798141	VERB
ajase-5751	131	6	293.9163411	293.9163411	NUM
ajase-5751	131	7	2025	2025	NUM
ajase-5751	131	8	58.83731515	58.83731515	NUM
ajase-5751	131	9	-235.2233702	-235.2233702	NUM
ajase-5751	131	10	352.8980005	352.8980005	NUM
ajase-5751	131	11	2026	2026	NUM
ajase-5751	131	12	67.78828048	67.78828048	NUM
ajase-5751	131	13	-282.8182577	-282.8182577	NUM
ajase-5751	131	14	418.3948187	418.3948187	NUM
ajase-5751	131	15	2027	2027	NUM
ajase-5751	131	16	77.63626747	77.63626747	NUM
ajase-5751	131	17	-335.6172463	-335.6172463	NUM
ajase-5751	131	18	490.8897813	490.8897813	NUM
ajase-5751	131	19	2028	2028	NUM
ajase-5751	131	20	88.27024515	88.27024515	NUM
ajase-5751	131	21	-394.0358105	-394.0358105	ADP
ajase-5751	131	22	570.5763008	570.5763008	NUM
ajase-5751	131	23	2029	2029	NUM
ajase-5751	131	24	99.51904349	99.51904349	NUM
ajase-5751	132	1	-458.4250597	-458.4250597	NUM
ajase-5751	132	2	657.4631466	657.4631466	NUM
ajase-5751	132	3	2030	2030	NUM
ajase-5751	132	4	111.3777465	111.3777465	NUM
ajase-5751	132	5	-528.9098723	-528.9098723	NUM
ajase-5751	132	6	751.6653653	751.6653653	NUM
ajase-5751	132	7	2031	2031	NUM
ajase-5751	132	8	123.9652102	123.9652102	NUM
ajase-5751	132	9	-605.5382018	-605.5382018	NUM
ajase-5751	132	10	853.4686221	853.4686221	NUM
ajase-5751	132	11	2032	2032	NUM
ajase-5751	132	12	137.3429456	137.3429456	NUM
ajase-5751	132	13	-688.4720041	-688.4720041	NUM
ajase-5751	132	14	963.1578953	963.1578953	NUM
ajase-5751	132	15	2033	2033	NUM
ajase-5751	133	1	151.4567871	151.4567871	NUM
ajase-5751	133	2	-777.979251	-777.979251	NUM
ajase-5751	133	3	1080.892825	1080.892825	NUM
ajase-5751	133	4	2034	2034	NUM
ajase-5751	133	5	166.2367155	166.2367155	NUM
ajase-5751	133	6	-874.2954576	-874.2954576	PROPN
ajase-5751	133	7	1206.768889	1206.768889	NUM
ajase-5751	133	8	2035	2035	NUM
ajase-5751	133	9	181.6869161	181.6869161	NUM
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ajase-5751	133	12	2036	2036	NUM
ajase-5751	133	13	197.8590336	197.8590336	NUM
ajase-5751	133	14	-1087.881322	-1087.881322	PROPN
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ajase-5751	133	16	2037	2037	NUM
ajase-5751	133	17	214.7753175	214.7753175	NUM
ajase-5751	133	18	-1205.417149	-1205.417149	NUM
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ajase-5751	133	22	-1330.365886	-1330.365886	ADP
ajase-5751	134	1	1795.185977	1795.185977	NUM
ajase-5751	134	2	2039	2039	NUM
ajase-5751	134	3	250.7348986	250.7348986	NUM
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ajase-5751	134	9	2142.693774	2142.693774	NUM
ajase-5751	134	10	pa	pa	PROPN
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ajase-5751	134	12	11	11	NUM
ajase-5751	134	13	8	8	NUM
ajase-5751	134	14	https://journals.e-palli.com/home/index.php/ajase	https://journals.e-palli.com/home/index.php/ajase	PROPN
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ajase-5751	134	16	.	.	PUNCT
ajase-5751	135	1	j.	j.	PROPN
ajase-5751	135	2	appl	appl	PROPN
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ajase-5751	137	2	.	.	PUNCT
ajase-5751	138	1	4(1	4(1	X
ajase-5751	138	2	)	)	PUNCT
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ajase-5751	139	2	-	-	SYM
ajase-5751	139	3	118	118	NUM
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ajase-5751	139	6	figure	figure	VERB
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ajase-5751	139	8	:	:	PUNCT
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ajase-5751	139	10	check	check	NOUN
ajase-5751	139	11	:	:	PUNCT
ajase-5751	139	12	original	original	ADJ
ajase-5751	139	13	data	datum	NOUN
ajase-5751	139	14	and	and	CCONJ
ajase-5751	139	15	rolling	rolling	ADJ
ajase-5751	139	16	statistics	statistic	NOUN
ajase-5751	139	17	conclusion	conclusion	VERB
ajase-5751	139	18	the	the	DET
ajase-5751	139	19	arima	arima	PROPN
ajase-5751	139	20	(	(	PUNCT
ajase-5751	139	21	1,1,0	1,1,0	NUM
ajase-5751	139	22	)	)	PUNCT
ajase-5751	139	23	model	model	NOUN
ajase-5751	139	24	provides	provide	VERB
ajase-5751	139	25	a	a	DET
ajase-5751	139	26	reasonably	reasonably	ADV
ajase-5751	139	27	good	good	ADJ
ajase-5751	139	28	fit	fit	NOUN
ajase-5751	139	29	for	for	ADP
ajase-5751	139	30	the	the	DET
ajase-5751	139	31	private	private	ADJ
ajase-5751	139	32	sector	sector	NOUN
ajase-5751	139	33	pension	pension	NOUN
ajase-5751	139	34	aum	aum	PROPN
ajase-5751	139	35	series	series	NOUN
ajase-5751	139	36	.	.	PUNCT
ajase-5751	140	1	the	the	DET
ajase-5751	140	2	statistically	statistically	ADV
ajase-5751	140	3	significant	significant	ADJ
ajase-5751	140	4	coefficient	coefficient	NOUN
ajase-5751	140	5	of	of	ADP
ajase-5751	140	6	the	the	DET
ajase-5751	140	7	autoregressive	autoregressive	ADJ
ajase-5751	140	8	term	term	NOUN
ajase-5751	140	9	ar	ar	NOUN
ajase-5751	140	10	(	(	PUNCT
ajase-5751	140	11	1	1	NUM
ajase-5751	140	12	)	)	PUNCT
ajase-5751	140	13	indicates	indicate	VERB
ajase-5751	140	14	that	that	SCONJ
ajase-5751	140	15	current	current	ADJ
ajase-5751	140	16	values	value	NOUN
ajase-5751	140	17	are	be	AUX
ajase-5751	140	18	strongly	strongly	ADV
ajase-5751	140	19	influenced	influence	VERB
ajase-5751	140	20	by	by	ADP
ajase-5751	140	21	their	their	PRON
ajase-5751	140	22	immediate	immediate	ADJ
ajase-5751	140	23	past	past	ADJ
ajase-5751	140	24	observations	observation	NOUN
ajase-5751	140	25	.	.	PUNCT
ajase-5751	141	1	model	model	NOUN
ajase-5751	141	2	diagnostics	diagnostic	NOUN
ajase-5751	141	3	further	far	ADV
ajase-5751	141	4	show	show	VERB
ajase-5751	141	5	that	that	SCONJ
ajase-5751	141	6	the	the	DET
ajase-5751	141	7	residuals	residual	NOUN
ajase-5751	141	8	are	be	AUX
ajase-5751	141	9	free	free	ADJ
ajase-5751	141	10	from	from	ADP
ajase-5751	141	11	serious	serious	ADJ
ajase-5751	141	12	autocorrelation	autocorrelation	NOUN
ajase-5751	141	13	,	,	PUNCT
ajase-5751	141	14	as	as	SCONJ
ajase-5751	141	15	confirmed	confirm	VERB
ajase-5751	141	16	by	by	ADP
ajase-5751	141	17	the	the	DET
ajase-5751	141	18	ljung	ljung	PROPN
ajase-5751	141	19	-	-	PUNCT
ajase-5751	141	20	box	box	NOUN
ajase-5751	141	21	test	test	NOUN
ajase-5751	141	22	,	,	PUNCT
ajase-5751	141	23	and	and	CCONJ
ajase-5751	141	24	are	be	AUX
ajase-5751	141	25	approximately	approximately	ADV
ajase-5751	141	26	normally	normally	ADV
ajase-5751	141	27	distributed	distribute	VERB
ajase-5751	141	28	according	accord	VERB
ajase-5751	141	29	to	to	ADP
ajase-5751	141	30	the	the	DET
ajase-5751	141	31	jarque	jarque	NOUN
ajase-5751	141	32	-	-	PUNCT
ajase-5751	141	33	bera	bera	NOUN
ajase-5751	141	34	test	test	NOUN
ajase-5751	141	35	.	.	PUNCT
ajase-5751	142	1	nonetheless	nonetheless	ADV
ajase-5751	142	2	,	,	PUNCT
ajase-5751	142	3	signs	sign	NOUN
ajase-5751	142	4	of	of	ADP
ajase-5751	142	5	heteroskedasticity	heteroskedasticity	NOUN
ajase-5751	142	6	were	be	AUX
ajase-5751	142	7	detected	detect	VERB
ajase-5751	142	8	,	,	PUNCT
ajase-5751	142	9	which	which	PRON
ajase-5751	142	10	suggests	suggest	VERB
ajase-5751	142	11	the	the	DET
ajase-5751	142	12	need	need	NOUN
ajase-5751	142	13	for	for	ADP
ajase-5751	142	14	additional	additional	ADJ
ajase-5751	142	15	adjustments	adjustment	NOUN
ajase-5751	142	16	to	to	PART
ajase-5751	142	17	enhance	enhance	VERB
ajase-5751	142	18	the	the	DET
ajase-5751	142	19	model	model	NOUN
ajase-5751	142	20	’s	’s	PART
ajase-5751	142	21	robustness	robustness	NOUN
ajase-5751	142	22	.	.	PUNCT
ajase-5751	143	1	in	in	ADP
ajase-5751	143	2	terms	term	NOUN
ajase-5751	143	3	of	of	ADP
ajase-5751	143	4	accuracy	accuracy	NOUN
ajase-5751	143	5	,	,	PUNCT
ajase-5751	143	6	the	the	DET
ajase-5751	143	7	model	model	NOUN
ajase-5751	143	8	yields	yield	VERB
ajase-5751	143	9	acceptable	acceptable	ADJ
ajase-5751	143	10	forecast	forecast	NOUN
ajase-5751	143	11	error	error	NOUN
ajase-5751	143	12	measures	measure	NOUN
ajase-5751	143	13	,	,	PUNCT
ajase-5751	143	14	including	include	VERB
ajase-5751	143	15	mae	mae	PROPN
ajase-5751	143	16	,	,	PUNCT
ajase-5751	143	17	rmse	rmse	NOUN
ajase-5751	143	18	,	,	PUNCT
ajase-5751	143	19	and	and	CCONJ
ajase-5751	143	20	mape	mape	NOUN
ajase-5751	143	21	,	,	PUNCT
ajase-5751	143	22	making	make	VERB
ajase-5751	143	23	it	it	PRON
ajase-5751	143	24	suitable	suitable	ADJ
ajase-5751	143	25	for	for	ADP
ajase-5751	143	26	short	short	ADJ
ajase-5751	143	27	-	-	PUNCT
ajase-5751	143	28	term	term	NOUN
ajase-5751	143	29	predictions	prediction	NOUN
ajase-5751	143	30	.	.	PUNCT
ajase-5751	144	1	moreover	moreover	ADV
ajase-5751	144	2	,	,	PUNCT
ajase-5751	144	3	the	the	DET
ajase-5751	144	4	augmented	augment	VERB
ajase-5751	144	5	dickey	dickey	PROPN
ajase-5751	144	6	-	-	PUNCT
ajase-5751	144	7	fuller	full	ADJ
ajase-5751	144	8	test	test	NOUN
ajase-5751	144	9	confirms	confirm	VERB
ajase-5751	144	10	the	the	DET
ajase-5751	144	11	stationarity	stationarity	NOUN
ajase-5751	144	12	of	of	ADP
ajase-5751	144	13	the	the	DET
ajase-5751	144	14	series	series	NOUN
ajase-5751	144	15	,	,	PUNCT
ajase-5751	144	16	meaning	mean	VERB
ajase-5751	144	17	its	its	PRON
ajase-5751	144	18	statistical	statistical	ADJ
ajase-5751	144	19	properties	property	NOUN
ajase-5751	144	20	such	such	ADJ
ajase-5751	144	21	as	as	ADP
ajase-5751	144	22	mean	mean	ADJ
ajase-5751	144	23	and	and	CCONJ
ajase-5751	144	24	variance	variance	NOUN
ajase-5751	144	25	remain	remain	VERB
ajase-5751	144	26	stable	stable	ADJ
ajase-5751	144	27	over	over	ADP
ajase-5751	144	28	time	time	NOUN
ajase-5751	144	29	.	.	PUNCT
ajase-5751	145	1	this	this	DET
ajase-5751	145	2	stationarity	stationarity	NOUN
ajase-5751	145	3	is	be	AUX
ajase-5751	145	4	particularly	particularly	ADV
ajase-5751	145	5	important	important	ADJ
ajase-5751	145	6	,	,	PUNCT
ajase-5751	145	7	as	as	SCONJ
ajase-5751	145	8	it	it	PRON
ajase-5751	145	9	provides	provide	VERB
ajase-5751	145	10	a	a	DET
ajase-5751	145	11	strong	strong	ADJ
ajase-5751	145	12	foundation	foundation	NOUN
ajase-5751	145	13	for	for	ADP
ajase-5751	145	14	reliable	reliable	ADJ
ajase-5751	145	15	time	time	NOUN
ajase-5751	145	16	series	series	PROPN
ajase-5751	145	17	modeling	modeling	NOUN
ajase-5751	145	18	and	and	CCONJ
ajase-5751	145	19	forecasting	forecasting	NOUN
ajase-5751	145	20	.	.	PUNCT
ajase-5751	146	1	finally	finally	ADV
ajase-5751	146	2	,	,	PUNCT
ajase-5751	146	3	we	we	PRON
ajase-5751	146	4	suggest	suggest	VERB
ajase-5751	146	5	extensions	extension	NOUN
ajase-5751	146	6	to	to	ADP
ajase-5751	146	7	the	the	DET
ajase-5751	146	8	model	model	NOUN
ajase-5751	146	9	(	(	PUNCT
ajase-5751	146	10	arima	arima	PROPN
ajase-5751	146	11	with	with	ADP
ajase-5751	146	12	garch	garch	NOUN
ajase-5751	146	13	,	,	PUNCT
ajase-5751	146	14	sarima	sarima	NOUN
ajase-5751	146	15	with	with	ADP
ajase-5751	146	16	garch	garch	NOUN
ajase-5751	146	17	)	)	PUNCT
ajase-5751	146	18	to	to	PART
ajase-5751	146	19	specifically	specifically	ADV
ajase-5751	146	20	tackle	tackle	VERB
ajase-5751	146	21	the	the	DET
ajase-5751	146	22	heteroskedasticity	heteroskedasticity	NOUN
ajase-5751	146	23	problem	problem	NOUN
ajase-5751	146	24	for	for	ADP
ajase-5751	146	25	future	future	ADJ
ajase-5751	146	26	research	research	NOUN
ajase-5751	146	27	work	work	NOUN
ajase-5751	146	28	references	reference	NOUN
ajase-5751	146	29	abebrese	abebrese	PROPN
ajase-5751	146	30	,	,	PUNCT
ajase-5751	146	31	j.	j.	PROPN
ajase-5751	146	32	(	(	PUNCT
ajase-5751	146	33	2011	2011	NUM
ajase-5751	146	34	)	)	PUNCT
ajase-5751	146	35	.	.	PUNCT
ajase-5751	147	1	social	social	ADJ
ajase-5751	147	2	protection	protection	NOUN
ajase-5751	147	3	in	in	ADP
ajase-5751	147	4	ghana	ghana	PROPN
ajase-5751	147	5	:	:	PUNCT
ajase-5751	147	6	an	an	DET
ajase-5751	147	7	overview	overview	NOUN
ajase-5751	147	8	of	of	ADP
ajase-5751	147	9	existing	exist	VERB
ajase-5751	147	10	programs	program	NOUN
ajase-5751	147	11	and	and	CCONJ
ajase-5751	147	12	their	their	PRON
ajase-5751	147	13	prospects	prospect	NOUN
ajase-5751	147	14	and	and	CCONJ
ajase-5751	147	15	challenges	challenge	NOUN
ajase-5751	147	16	.	.	PUNCT
ajase-5751	148	1	friedrich	friedrich	PROPN
ajase-5751	148	2	ebert	ebert	PROPN
ajase-5751	148	3	foundation	foundation	PROPN
ajase-5751	148	4	.	.	PUNCT
ajase-5751	149	1	(	(	PUNCT
ajase-5751	149	2	pdf	pdf	NOUN
ajase-5751	149	3	)	)	PUNCT
ajase-5751	149	4	available	available	ADJ
ajase-5751	149	5	at	at	ADP
ajase-5751	149	6	http://www.fesghana.org/uploads/	http://www.fesghana.org/uploads/	X
ajase-5751	149	7	pdf	pdf	NOUN
ajase-5751	149	8	/	/	SYM
ajase-5751	149	9	fes_socialprotectionghana_2011_final	fes_socialprotectionghana_2011_final	PROPN
ajase-5751	149	10	.	.	PROPN
ajase-5751	149	11	pdf	pdf	NOUN
ajase-5751	149	12	accessed	access	VERB
ajase-5751	149	13	on	on	ADP
ajase-5751	149	14	november	november	PROPN
ajase-5751	149	15	28th	28th	NUM
ajase-5751	149	16	,	,	PUNCT
ajase-5751	149	17	2012	2012	NUM
ajase-5751	149	18	agnew	agnew	PROPN
ajase-5751	149	19	,	,	PUNCT
ajase-5751	149	20	j.	j.	PROPN
ajase-5751	149	21	(	(	PUNCT
ajase-5751	149	22	2013	2013	NUM
ajase-5751	149	23	)	)	PUNCT
ajase-5751	149	24	.	.	PUNCT
ajase-5751	150	1	australia	australia	PROPN
ajase-5751	150	2	’s	’s	PART
ajase-5751	150	3	retirement	retirement	NOUN
ajase-5751	150	4	system	system	NOUN
ajase-5751	150	5	:	:	PUNCT
ajase-5751	150	6	strengths	strength	NOUN
ajase-5751	150	7	,	,	PUNCT
ajase-5751	150	8	weaknesses	weakness	NOUN
ajase-5751	150	9	,	,	PUNCT
ajase-5751	150	10	and	and	CCONJ
ajase-5751	150	11	reforms	reform	NOUN
ajase-5751	150	12	.	.	PUNCT
ajase-5751	151	1	issue	issue	NOUN
ajase-5751	151	2	in	in	ADP
ajase-5751	151	3	brief	brief	ADJ
ajase-5751	151	4	,	,	PUNCT
ajase-5751	151	5	(	(	PUNCT
ajase-5751	151	6	13	13	NUM
ajase-5751	151	7	)	)	PUNCT
ajase-5751	151	8	.	.	PUNCT
ajase-5751	152	1	boston	boston	PROPN
ajase-5751	152	2	college	college	PROPN
ajase-5751	152	3	:	:	PUNCT
ajase-5751	152	4	center	center	NOUN
ajase-5751	152	5	for	for	ADP
ajase-5751	152	6	retirement	retirement	NOUN
ajase-5751	152	7	research	research	NOUN
ajase-5751	152	8	bond	bond	NOUN
ajase-5751	152	9	,	,	PUNCT
ajase-5751	152	10	t.	t.	PROPN
ajase-5751	152	11	(	(	PUNCT
ajase-5751	152	12	2017	2017	NUM
ajase-5751	152	13	)	)	PUNCT
ajase-5751	152	14	.	.	PUNCT
ajase-5751	153	1	160	160	NUM
ajase-5751	153	2	years	year	NOUN
ajase-5751	153	3	of	of	ADP
ajase-5751	153	4	public	public	ADJ
ajase-5751	153	5	pensions	pension	NOUN
ajase-5751	153	6	in	in	ADP
ajase-5751	153	7	the	the	DET
ajase-5751	153	8	united	united	PROPN
ajase-5751	153	9	states	states	PROPN
ajase-5751	153	10	.	.	PUNCT
ajase-5751	154	1	retrieved	retrieve	VERB
ajase-5751	154	2	from	from	ADP
ajase-5751	154	3	https://protectpensions	https://protectpension	NOUN
ajase-5751	154	4	.	.	PUNCT
ajase-5751	154	5	org/2017/04/29	org/2017/04/29	ADP
ajase-5751	154	6	/	/	SYM
ajase-5751	154	7	public	public	ADJ
ajase-5751	154	8	-	-	PUNCT
ajase-5751	154	9	pensions	pension	NOUN
ajase-5751	154	10	-	-	PUNCT
ajase-5751	154	11	early	early	ADV
ajase-5751	154	12	-	-	PUNCT
ajase-5751	154	13	history/	history/	NUM
ajase-5751	154	14	box	box	NOUN
ajase-5751	154	15	,	,	PUNCT
ajase-5751	154	16	gep	gep	PROPN
ajase-5751	154	17	,	,	PUNCT
ajase-5751	154	18	jenkins	jenkins	PROPN
ajase-5751	154	19	,	,	PUNCT
ajase-5751	154	20	g.	g.	PROPN
ajase-5751	154	21	(	(	PUNCT
ajase-5751	154	22	1970	1970	NUM
ajase-5751	154	23	)	)	PUNCT
ajase-5751	154	24	.	.	PUNCT
ajase-5751	155	1	time	time	PROPN
ajase-5751	155	2	series	series	PROPN
ajase-5751	155	3	analysis	analysis	NOUN
ajase-5751	155	4	:	:	PUNCT
ajase-5751	155	5	forecasting	forecasting	NOUN
ajase-5751	155	6	and	and	CCONJ
ajase-5751	155	7	control	control	NOUN
ajase-5751	155	8	.	.	PUNCT
ajase-5751	156	1	2nd	2nd	PROPN
ajase-5751	156	2	edition	edition	PROPN
ajase-5751	156	3	.	.	PUNCT
ajase-5751	157	1	san	san	PROPN
ajase-5751	157	2	francisco	francisco	PROPN
ajase-5751	157	3	:	:	PUNCT
ajase-5751	158	1	holden	holden	PROPN
ajase-5751	158	2	-	-	PUNCT
ajase-5751	158	3	day	day	NOUN
ajase-5751	158	4	.	.	PUNCT
ajase-5751	159	1	pp	pp	ADJ
ajase-5751	159	2	.	.	PUNCT
ajase-5751	160	1	240	240	NUM
ajase-5751	160	2	.	.	PUNCT
ajase-5751	161	1	darkwa	darkwa	PROPN
ajase-5751	161	2	,	,	PUNCT
ajase-5751	161	3	o.	o.	PROPN
ajase-5751	161	4	(	(	PUNCT
ajase-5751	161	5	2007	2007	NUM
ajase-5751	161	6	)	)	PUNCT
ajase-5751	161	7	.	.	PUNCT
ajase-5751	162	1	reforming	reform	VERB
ajase-5751	162	2	the	the	DET
ajase-5751	162	3	ghanaian	ghanaian	ADJ
ajase-5751	162	4	social	social	ADJ
ajase-5751	162	5	security	security	NOUN
ajase-5751	162	6	system	system	NOUN
ajase-5751	162	7	;	;	PUNCT
ajase-5751	162	8	prospects	prospect	NOUN
ajase-5751	162	9	and	and	CCONJ
ajase-5751	162	10	challenges	challenge	NOUN
ajase-5751	162	11	.	.	PUNCT
ajase-5751	163	1	cross	cross	VERB
ajase-5751	163	2	cultural	cultural	ADJ
ajase-5751	163	3	gerontology	gerontology	NOUN
ajase-5751	163	4	(	(	PUNCT
ajase-5751	163	5	12	12	NUM
ajase-5751	163	6	)	)	PUNCT
ajase-5751	163	7	.	.	PUNCT
ajase-5751	164	1	fiiwe	fiiwe	NOUN
ajase-5751	164	2	,	,	PUNCT
ajase-5751	164	3	j.	j.	PROPN
ajase-5751	164	4	l.	l.	PROPN
ajase-5751	164	5	(	(	PUNCT
ajase-5751	164	6	2020	2020	NUM
ajase-5751	164	7	)	)	PUNCT
ajase-5751	164	8	.	.	PUNCT
ajase-5751	165	1	analysis	analysis	NOUN
ajase-5751	165	2	of	of	ADP
ajase-5751	165	3	retirement	retirement	NOUN
ajase-5751	165	4	benefits	benefit	NOUN
ajase-5751	165	5	in	in	ADP
ajase-5751	165	6	nigeria	nigeria	PROPN
ajase-5751	165	7	:	:	PUNCT
ajase-5751	165	8	a	a	DET
ajase-5751	165	9	case	case	NOUN
ajase-5751	165	10	study	study	NOUN
ajase-5751	165	11	of	of	ADP
ajase-5751	165	12	selected	select	VERB
ajase-5751	165	13	federal	federal	ADJ
ajase-5751	165	14	establishment	establishment	NOUN
ajase-5751	165	15	.	.	PUNCT
ajase-5751	166	1	equatorial	equatorial	ADJ
ajase-5751	166	2	journal	journal	NOUN
ajase-5751	166	3	of	of	ADP
ajase-5751	166	4	marketing	marketing	NOUN
ajase-5751	166	5	and	and	CCONJ
ajase-5751	166	6	insurance	insurance	NOUN
ajase-5751	166	7	policy	policy	NOUN
ajase-5751	166	8	,	,	PUNCT
ajase-5751	166	9	4(1	4(1	NOUN
ajase-5751	166	10	)	)	PUNCT
ajase-5751	166	11	,	,	PUNCT
ajase-5751	166	12	1	1	NUM
ajase-5751	166	13	-	-	SYM
ajase-5751	166	14	15	15	NUM
ajase-5751	166	15	.	.	PUNCT
ajase-5751	167	1	kpessa	kpessa	NOUN
ajase-5751	167	2	,	,	PUNCT
ajase-5751	167	3	m.	m.	NOUN
ajase-5751	167	4	(	(	PUNCT
ajase-5751	167	5	2011	2011	NUM
ajase-5751	167	6	)	)	PUNCT
ajase-5751	167	7	.	.	PUNCT
ajase-5751	168	1	a	a	DET
ajase-5751	168	2	comparative	comparative	ADJ
ajase-5751	168	3	analysis	analysis	NOUN
ajase-5751	168	4	of	of	ADP
ajase-5751	168	5	pension	pension	NOUN
ajase-5751	168	6	reforms	reform	NOUN
ajase-5751	168	7	and	and	CCONJ
ajase-5751	168	8	challenges	challenge	NOUN
ajase-5751	168	9	in	in	ADP
ajase-5751	168	10	ghana	ghana	PROPN
ajase-5751	168	11	and	and	CCONJ
ajase-5751	168	12	nigeria	nigeria	PROPN
ajase-5751	168	13	.	.	PUNCT
ajase-5751	169	1	international	international	ADJ
ajase-5751	169	2	social	social	ADJ
ajase-5751	169	3	security	security	NOUN
ajase-5751	169	4	review	review	NOUN
ajase-5751	169	5	,	,	PUNCT
ajase-5751	169	6	64	64	NUM
ajase-5751	169	7	.	.	NOUN
ajase-5751	170	1	92	92	NUM
ajase-5751	170	2	-	-	SYM
ajase-5751	170	3	104	104	NUM
ajase-5751	170	4	kpessa	kpessa	NOUN
ajase-5751	170	5	,	,	PUNCT
ajase-5751	170	6	m.	m.	NOUN
ajase-5751	170	7	w.	w.	PROPN
ajase-5751	170	8	(	(	PUNCT
ajase-5751	170	9	2010	2010	NUM
ajase-5751	170	10	)	)	PUNCT
ajase-5751	170	11	.	.	PUNCT
ajase-5751	171	1	the	the	DET
ajase-5751	171	2	politics	politic	NOUN
ajase-5751	171	3	of	of	ADP
ajase-5751	171	4	retirement	retirement	NOUN
ajase-5751	171	5	income	income	NOUN
ajase-5751	171	6	security	security	NOUN
ajase-5751	171	7	policy	policy	NOUN
ajase-5751	171	8	in	in	ADP
ajase-5751	171	9	ghana	ghana	PROPN
ajase-5751	171	10	:	:	PUNCT
ajase-5751	171	11	historical	historical	ADJ
ajase-5751	171	12	trajectories	trajectory	NOUN
ajase-5751	171	13	and	and	CCONJ
ajase-5751	171	14	transformative	transformative	ADJ
ajase-5751	171	15	capabilities	capability	NOUN
ajase-5751	171	16	.	.	PUNCT
ajase-5751	172	1	african	african	ADJ
ajase-5751	172	2	journal	journal	NOUN
ajase-5751	172	3	of	of	ADP
ajase-5751	172	4	political	political	ADJ
ajase-5751	172	5	science	science	NOUN
ajase-5751	172	6	and	and	CCONJ
ajase-5751	172	7	international	international	ADJ
ajase-5751	172	8	relations	relation	NOUN
ajase-5751	172	9	,	,	PUNCT
ajase-5751	172	10	92	92	NUM
ajase-5751	172	11	-	-	SYM
ajase-5751	172	12	102	102	NUM
ajase-5751	172	13	modigliani	modigliani	NOUN
ajase-5751	172	14	,	,	PUNCT
ajase-5751	172	15	f.	f.	PROPN
ajase-5751	172	16	&	&	CCONJ
ajase-5751	172	17	brumberg	brumberg	PROPN
ajase-5751	172	18	,	,	PUNCT
ajase-5751	172	19	r.	r.	PROPN
ajase-5751	172	20	h.	h.	PROPN
ajase-5751	172	21	(	(	PUNCT
ajase-5751	172	22	1954	1954	NUM
ajase-5751	172	23	)	)	PUNCT
ajase-5751	172	24	.	.	PUNCT
ajase-5751	173	1	utility	utility	NOUN
ajase-5751	173	2	analysis	analysis	NOUN
ajase-5751	173	3	and	and	CCONJ
ajase-5751	173	4	the	the	DET
ajase-5751	173	5	consumption	consumption	NOUN
ajase-5751	173	6	function	function	NOUN
ajase-5751	173	7	:	:	PUNCT
ajase-5751	173	8	an	an	DET
ajase-5751	173	9	interpretation	interpretation	NOUN
ajase-5751	173	10	of	of	ADP
ajase-5751	173	11	cross	cross	ADJ
ajase-5751	173	12	-	-	ADJ
ajase-5751	173	13	section	section	ADJ
ajase-5751	173	14	data	datum	NOUN
ajase-5751	173	15	,	,	PUNCT
ajase-5751	173	16	(	(	PUNCT
ajase-5751	173	17	in	in	ADP
ajase-5751	173	18	kenneth	kenneth	PROPN
ajase-5751	173	19	k.	k.	PROPN
ajase-5751	173	20	kurihara	kurihara	PROPN
ajase-5751	173	21	,	,	PUNCT
ajase-5751	173	22	ed	ed	NOUN
ajase-5751	173	23	.	.	PUNCT
ajase-5751	173	24	)	)	PUNCT
ajase-5751	173	25	.	.	PUNCT
ajase-5751	174	1	post	post	ADJ
ajase-5751	174	2	-	-	ADJ
ajase-5751	174	3	keynesian	keynesian	ADJ
ajase-5751	174	4	economics	economic	NOUN
ajase-5751	174	5	,	,	PUNCT
ajase-5751	174	6	new	new	PROPN
ajase-5751	174	7	brunswick	brunswick	PROPN
ajase-5751	174	8	,	,	PUNCT
ajase-5751	174	9	nj	nj	PROPN
ajase-5751	174	10	.	.	PUNCT
ajase-5751	175	1	rutgers	rutgers	PROPN
ajase-5751	175	2	university	university	PROPN
ajase-5751	175	3	press	press	NOUN
ajase-5751	175	4	.	.	PUNCT
ajase-5751	176	1	388–436	388–436	NUM
ajase-5751	176	2	.	.	PUNCT
ajase-5751	176	3	national	national	ADJ
ajase-5751	176	4	pensions	pensions	PROPN
ajase-5751	176	5	act	act	PROPN
ajase-5751	176	6	of	of	ADP
ajase-5751	176	7	ghana	ghana	PROPN
ajase-5751	176	8	.	.	PUNCT
ajase-5751	177	1	(	(	PUNCT
ajase-5751	177	2	2008	2008	NUM
ajase-5751	177	3	)	)	PUNCT
ajase-5751	177	4	.	.	PUNCT
ajase-5751	178	1	act	act	VERB
ajase-5751	178	2	766	766	NUM
ajase-5751	178	3	.	.	PUNCT
ajase-5751	179	1	vroom	vroom	NOUN
ajase-5751	179	2	,	,	PUNCT
ajase-5751	179	3	v.	v.	PROPN
ajase-5751	179	4	h.	h.	PROPN
ajase-5751	179	5	(	(	PUNCT
ajase-5751	179	6	1964	1964	NUM
ajase-5751	179	7	)	)	PUNCT
ajase-5751	179	8	.	.	PUNCT
ajase-5751	180	1	work	work	NOUN
ajase-5751	180	2	and	and	CCONJ
ajase-5751	180	3	motivation	motivation	NOUN
ajase-5751	180	4	.	.	PUNCT
ajase-5751	181	1	san	san	PROPN
ajase-5751	181	2	francisco	francisco	PROPN
ajase-5751	181	3	,	,	PUNCT
ajase-5751	181	4	ca	ca	NOUN
ajase-5751	181	5	:	:	PUNCT
ajase-5751	181	6	jossey	jossey	NOUN
ajase-5751	181	7	-	-	PUNCT
ajase-5751	181	8	bass	bass	NOUN
ajase-5751	181	9	world	world	NOUN
ajase-5751	181	10	bank	bank	PROPN
ajase-5751	181	11	(	(	PUNCT
ajase-5751	181	12	1994	1994	NUM
ajase-5751	181	13	)	)	PUNCT
ajase-5751	181	14	.	.	PUNCT
ajase-5751	182	1	averting	avert	VERB
ajase-5751	182	2	the	the	DET
ajase-5751	182	3	old	old	ADJ
ajase-5751	182	4	age	age	NOUN
ajase-5751	182	5	crises	crise	VERB
ajase-5751	182	6	policies	policy	NOUN
ajase-5751	182	7	to	to	PART
ajase-5751	182	8	protect	protect	VERB
ajase-5751	182	9	:	:	PUNCT
ajase-5751	182	10	the	the	DET
ajase-5751	182	11	old	old	ADJ
ajase-5751	182	12	and	and	CCONJ
ajase-5751	182	13	promote	promote	VERB
ajase-5751	182	14	growth	growth	NOUN
ajase-5751	182	15	.	.	PUNCT
ajase-5751	183	1	washington	washington	PROPN
ajase-5751	183	2	d.c	d.c	PROPN
ajase-5751	183	3	:	:	PUNCT
ajase-5751	183	4	the	the	DET
ajase-5751	183	5	world	world	PROPN
ajase-5751	183	6	bank	bank	PROPN
ajase-5751	183	7	.	.	PUNCT