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Microtech Corporation is expanding rapidly and currently needs to retain all of

ID: 2721010 • Letter: M

Question

Microtech Corporation is expanding rapidly and currently needs to retain all of its earnings; hence, it does not pay dividends. However, investors expect Microtech to begin paying dividends, beginning with a dividend of $0.75 coming 3 years from today. The dividend should grow rapidly - at a rate of 26% per year - during Years 4 and 5; but after Year 5, growth should be a constant 8% per year. If the required return on Microtech is 15%, what is the value of the stock today? Round your answer to the nearest cent.

Explanation / Answer

Answer

Figures in $

Particulars

Amount

Dividend at end of year 6

a

1.285956

(1.1907*1.08)

Cost of capital - growth rate

b

0.07

(0.15-0.08)

Price end the end of year 5   (a/b)

18.3708*

Figures in $

Year

Dividend

Market value

Cash flow

Disc rate : 15%

Present value

A

B

C

D

A+B

C*D

1

0

0.87

0

2

0

0.76

0

3

0.75

0.7500

0.66

0.49

4

0.75*1.26

0.945

0.9450

0.57

0.54

5

0.945*1.26

1.1907

18.3708*

19.5615

0.50

9.73

Current market price

10.76

Answer : The value of the stock today is $ 10.76

Figures in $

Particulars

Amount

Dividend at end of year 6

a

1.285956

(1.1907*1.08)

Cost of capital - growth rate

b

0.07

(0.15-0.08)

Price end the end of year 5   (a/b)

18.3708*