Question

Cache Creek Manufacturing Company is expected to pay a dividend of $4.20 in the upcoming year. Dividends are expected to grow at the rate of 8% per year. The risk-free rate of return is 4%, and the expected return on the market portfolio is 14%. Investors use the CAPM to compute the market capitalization rate on the stock and use the constant-growth DDM to determine the intrinsic value of the stock. The stock is trading in the market today at $84. Using the constant-growth DDM and the CAPM, the beta of the stock is _________.

Answer 1

Answer: 0.9

Explanation:

The Expected Return on an investment can be calculated using the Dividend Discount Model as it is a key component in thw formula which is,

P = D1 / r - g

where,

D1 is the dividend paid next year

P is the current stock price

g is the growth rate

r is the expected return

With the given figures we have,

84 = 4.20 / r - 0.08

84 ( r - 0.08) = 4.20

r - 0.08 = 4.20/84

r = 4.20/84 + 0.08

r = 0.13

The Expected Return can be slotted into the CAPM formula to find the beta.

The CAPM formula calculates the Expected Return in the following manner,

Er = Rf + b( Rm - rF)

Where,

Er is expected return

Rf is the risk free rate

Rm is the market return

b is beta

Slotting in the figures gives,

0.13 = 0.04 + b( 0.14 - 0.04)

0.13 = 0.04 + b (0.1)

0.13 - 0.04 = 0.1b

b = 0.09/0.1

b = 0.9

Using the constant-growth DDM and the CAPM, the beta of the stock is 0.9