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# Stock Price

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You are considering an investment in the common stock of Kirk Corporation. The stock is expected to pay a dividend of \$3.50 a share at the end of the year (D1 = \$3.50). The stock has a beta equal to 0.75. The risk-free rate is 5.0%, and the market risk premium is 5.5%. The stock's dividend is expected to grow at some constant rate g. The stock currently sells for \$50 a share. Assume that the market is in equilibrium.

What does the market believe will be the stock price at the end of 2 years? (That is, what is P2?) What does the market believe will be the stock price at the end of 5 years? (That is, what is P5?)

#### Solution Preview

You are considering an investment in the common stock of Kirk Corporation. The stock is expected to pay a dividend of \$3.50 a share at the end of the year (D1 = \$3.50). The stock has a beta equal to 0.75. The risk-free rate is 5.0%, and the market risk premium is 5.5%. The stock's dividend is expected to grow at some constant rate g. The stock currently sells for \$50 a share. Assume that the market is in equilibrium.

Step 1: Calculate the required return using CAPM

CAPM (Capital Asset Pricing Model) equation is:
r A= r f + beta A (r m - r f) ...

#### Solution Summary

Uses CAPM (Capital Asset Pricing Model) to calculate the required return (discount rate) and then uses this rate in the dividend discount model to calculate the stock price at the end of 2 and 5 years.

\$2.19