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16) (6 pts) You estimate that Company DDs EPS will be $8 next year and $9 in Year 2. You also expect the stock will sell for
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Answer #1

(a). It is given here that EPS for year 2 is expected to be $9

and expected market price of the stock at the end of year 2 will be $165.

P/E multiple = EPS/Current market price(for year 2)

P/E= $9/$165 = 0.054

(b). It is given in the question that the dividend payout ratio will be expected as 40%.

Dividend for year1 = 0.4 * (EPS for year 1)

D1 = 0.4*$8 = $3.2 per share.

Similarly, dividend for year2 = 0.4*$9 = $3.6

(c). Intrinsic value of a stock = dividend per share / (required rate of return - growth rate)

so, first we need to calculate the dividend growth rate from year 1 to year 2 = (year2-year1)/year1

dividend growth (g) = ($3.6 - $3.2)/$3.2 = 0.4/3.2 = 0.125 or 12.5%

Now, intrinsic value of stock = $3.2 / (0.07 - 0.125) = $58.18.

There is another method of calculation by considering time value of money.

Price of stock today = after 2 year price * PV factor @ 7%

Price of stock = $165 * 0.8734 = $144.11

But this price doesnot consider the dividend growth over two years.

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