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Constant Growth Valuation Woidtke Manufacturing\'s stock currently sells for $32

ID: 2613727 • Letter: C

Question

Constant Growth Valuation

Woidtke Manufacturing's stock currently sells for $32 a share. The stock just paid a dividend of $2.25 a share (i.e., D0 = $2.25), and the dividend is expected to grow forever at a constant rate of 4% a year.

What stock price is expected 1 year from now? Round your answer to the nearest cent.
$  

What is the estimated required rate of return on Woidtke's stock? Round the answer to three decimal places.
     %

Constant Growth Valuation

Woidtke Manufacturing's stock currently sells for $32 a share. The stock just paid a dividend of $2.25 a share (i.e., D0 = $2.25), and the dividend is expected to grow forever at a constant rate of 4% a year.

What stock price is expected 1 year from now? Round your answer to the nearest cent.
$  

What is the estimated required rate of return on Woidtke's stock? Round the answer to three decimal places.
     %

Explanation / Answer

cost of equity =[ D0(1+g) /Current price] +g

                    = [2.25(1+.04) /32] + .04

                    =[2.34 / 32 ] +.04

                    = .073125 +.04

                    = .11313 or 11.313%

1)price in one year = D1(1+g) /(cost - g)

                            = 2.34 (1+.04) /(.11313 -.04)

                           = 2.4336 / .07313

                         =$ 33.28 per share.

*D1 =2.25(1+.04)= 2.34

2)required rate of return = 11.313%