Question

MARIN Ltd. had earnings per share of $5 as of December 31, 2022, but paid no dividends. Earnings were expected to grow at 16.2 percent per year for the following five years. MARIN Ltd. will start paying dividends for the first time on December 31, 2027, distributing 50 percent of its earnings to shareholders. Earnings growth will be 6 percent per year for the next six years (that is, from January 1, 2028, through to December 31, 2033). Starting on December 31, 2033, MARIN Ltd. will begin to pay out 80 percent of its earnings in dividends and earnings growth will stabilize at 2 percent per year in perpetuity. The required rate of return on MARIN stock is 10 percent. What should be the current share price of MARIN? (Round intermediate calculations to 6 decimal places, e.g. 15.612125 and the final answer to 2 decimal places, e.g. 15.61.)

Answer 1

Price of Stock is nothing but PV of CFs from it.

Year	Growth Rate	EPS	Calculation	Divident	Calculation	PVF@10%	PV of CF
31-Dec-22		5.00	given	0		0.9091	-
31-Dec-23	16.20%	5.81	=5*16.2%+ 5	0		0.8264	-
31-Dec-24	16.20%	6.75	=5.81*16.2%+ 5.81	0		0.7513	-
31-Dec-25	16.20%	7.84	=6.75*16.2%+ 6.75	0		0.6830	-
31-Dec-26	16.20%	9.12	=7.84*16.2%+ 7.84	0		0.6209	-
31-Dec-27	16.20%	10.59	=9.12*16.2%+ 9.12	5.30	=10.59*50%	0.5645	2.99
31-Dec-28	6%	11.23	=10.59*6%+ 10.59	5.61	=11.23*50%	0.5132	2.88
31-Dec-29	6%	11.90	=11.23*6%+ 11.23	5.95	=11.9*50%	0.4665	2.78
31-Dec-30	6%	12.62	=11.9*6%+ 11.9	6.31	=12.62*50%	0.4241	2.68
31-Dec-31	6%	13.37	=12.62*6%+ 12.62	6.69	=13.37*50%	0.3855	2.58
31-Dec-32	6%	14.18	=13.37*6%+ 13.37	7.09	=14.18*50%	0.3505	2.48
31-Dec-33	6%	15.03	=14.18*16.2%+14.18	12.02	=15.03*80%	0.3186	3.83
31-Dec-33	Stock Value			153.26		0.3186	48.83
	value of the stock today						69.05

Value of the stock on 31 dec 33 = divident for year 31 dec 34/(ke-g)

= 12.26/10%-2%

= 153.26

Divident for year 31 dec 34 = (Eps of year ended dec 33 * Growth rate ) * Payout %

= (15.03* 102%) * 80%

=15.33 * 80%

= 12.26

Please let me know for any queries.