Question

A7X Corp. just paid a dividend of $2.60 per share. The dividends are expected to grow at 18 percent for the next eight years and then level off to a growth rate of 7 percent indefinitely. If the required return is 13 percent, what is the price of the stock today? (Do not round intermediate calculations and round your answer to 2 decimal places)

The following need to be solved on Excel:

5 points a) Find the Ds D. D D2 D DA D D D D. D, D10 b) Put the Ds on a timeline (infinity) PULL FROM ABOVE. DO NOT HARDCOD

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Answer #1

Solution:

1.Calculation of price of the stock today

First we need to find the dividend for each year till 9th year

Dividend for the year=Previous year dividend(1+growth rate)

Year Dividend for year
1 $2.60(1+0.18)=$3.068 D1
2 $3.068(1+0.18)=$3.62 D2
3 $3.62(1+0.18)=$4.27 D3
4 $4.27(1+0.18)=$5.04 D4
5 $5.04(1+.18)=$5.95 D5
6 $5.95(1+0.18)=$7.02 D6
7 $7.02(1+0.18)=$8.28 D7
8 $8.28(1+0.18)=$9.77 D8
9 $9.77(1+0.07)=$10.45 D9

Terminal value at the end of 8th year(TV)=Dividend for 9the year/(Required return-Growth rate)

=$10.45/(0.13-0.07)

=$174.17

Stock price is the present value of dividends and terminal value.calculation is as follow;

Stock Price is;

=$3.068/(1+0.13)^1+$3.62/(1+0.13)^2+$4.27/(1+0.13)^3+$5.04/(1+0.13)^4+$5.95/(1+0.13)^5+$7.02/(1+0.13)^6+$8.28/(1+0.13)^7+$9.77/(1+0.13)^8+$174.17/(1+0.13)^8

=$90.91

therefore,price of the stock today is $90.91

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