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    CAPM, price of bonds, dividends

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    1) You are holding a stock which is currently in equilibrium. The required rate of return on the stock is 15 percent when the required return on the S&P 500 index is 10 percent. What will be the percentage change in the required return on the stock if the required return on the S&P 500 index increases by 30% while the risk free rate is unchanged? Your stock has a beta of 2.0.

    a. +20%
    b. +30%
    c. +40%
    d. +50%
    e. +60%

    2) A 20 year bond with a par value of $1000 has a 9 percent annual coupon. The bond currently sells for $925. If the bond's yield to maturity remains at its current rate, what will be the price of the bond 5 years from now?

    a. $966.79
    b. $831.35
    c. $1090.00
    d. $933.09
    e. $925.00

    3) Which of the following statements is most correct?

    a. Assume that the required rate of return on a given stock is 13 percent. If the stock's dividend is growing at a constant rate of 5%, its expected dividend yield is also 5%.
    b. The dividend yield on a stock is equal to the expected return less the expected capital gains yeild.
    c. A stock's dividend yield cna never exceed the expected growth rate.
    d. All of the answers above are correct.
    e. Answers b and c are correct.

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    Solution Preview

    You are holding a stock which is currently in equilibrium. The required rate of return on the stock is 15 percent when the required return on the S&P 500 index is 10 percent. What will be the percentage change in the required return on the stock if the required return on the S&P 500 index increases by 30% while the risk free rate is unchanged? Your stock has a beta of 2.0.

    a. +20%
    b. +30%
    c. +40%
    d. +50%
    e. +60%

    Answer: c. +40%

    Let us first find the risk free rate

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

    risk free rate= r f = to be determined
    beta of stock= beta A= 2.0 (Given)
    return on market portfolio= r m = 10% (S&P 500 index)
    required return on stock r A = 15.00% (Given)
    Plugging in the values
    r f = 5. %

    Now the required return on market portfolio increass by 30%
    Therefore r m= 13% =10% * (1+30%)
    risk free rate remians the same
    Now calculate the required return on the stock

    r A= r f + beta A (r m - r f)

    risk free rate= r f = 5. ...

    Solution Summary

    Answers to 3 corporate finance multiple choice questions dealing with CAPM, price of bonds, dividends

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