Question

In: Finance

Fey Fashions expects the following dividend pattern over the next seven​ years: Year 1 Year 2...

Fey Fashions expects the following dividend pattern over the next seven​ years:

Year 1 Year 2 Year 3 Year 4 Year 5 Year 6 Year 7
1.5 1.62 1.75 1.89 2.04 2.2 2.38

. The company will then have a constant dividend of​$2.60 forever. What is the​ stock's price today if an investor wants to earn

a.  

16​%?

b.  

23%?

Solutions

Expert Solution

If Required Ret is 16%:

Price of Stcok = PV of CFs from it.

P7 = D8 / Ke

= $ 2.60 / 16%

= $ 16.25

Price of stock Today:

Year CF PVF @16% Disc CF
               1 $      1.50       0.8621 $      1.29
2 $      1.62       0.7432 $      1.20
3 $      1.75       0.6407 $      1.12
4 $      1.89       0.5523 $      1.04
5 $      2.04       0.4761 $      0.97
6 $      2.20       0.4104 $      0.90
7 $      2.38       0.3538 $      0.84
7 $   16.25       0.3538 $      5.75
Price of Stock $   13.13

If Required Ret is 23%:

Price of Stcok = PV of CFs from it.

P7 = D8 / Ke

= $ 2.60 / 23%

= $ 11.30

Price of stock Today:

Year CF PVF @16% Disc CF
               1 $      1.50       0.8130 $      1.22
2 $      1.62       0.6610 $      1.07
3 $      1.75       0.5374 $      0.94
4 $      1.89       0.4369 $      0.83
5 $      2.04       0.3552 $      0.72
6 $      2.20       0.2888 $      0.64
7 $      2.38       0.2348 $      0.56
7 $   11.30       0.2348 $      2.65
Price of Stock $      8.63

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