Chapter 8 problems

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Feb 20, 2024

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Problem 1 Douglas Keel, a financial analyst for Orange Industries, wishes to estimate the rate of return for two similar-risk investments, X and Y. Douglas's research indicates that the immediate past returns will serve as reasonable estimates of future returns. A year earlier, investment X had a market value of $27,000 ; and investment Y had a market value of $64,000. During the year, investment X generated cash flow of $2,025 and investment Y generated cash flow of $7,327. The current market values of investments X and Y are $27,781 and $64,000, respectively. a. Calculate the expected rate of return on investments X and Y using the most recent year's data. a. X=Rt=$2,025+$27,761-$27,000/$27,000=10.39% b. Y=Rt=$7,327+$64,000-$64,000/$64,000=11.45% >>> R(t) = CF + P(t) – P(t-1) / P(t-1) b. Assuming that the two investments are equally risky, which one should Douglas recommend? Why? a. Option B due to higher return on investment. Problem 2: a. Calculate the required rate of return for an asset that has a beta of 1.80 , given a risk-free rate of 5.0 % and a market return of 10.0 %. a. 5%+[1.80(10%-5%)]=5%+9%=14% >>> R(j) = R(f) + [b(j) * (R(m) – R(f)] b. If investors have become more risk-averse due to recent geopolitical events, and the market return rises to 13.0 %, what is the required rate of return for the same asset? a. 5%+[1.80(13%-5%)]=5%+14.4%=19.4% How does risk a ff ect the required return on an asset? How does it a ff ect the value of the asset? 3%+1.2*6%=3%+7.2%=10.2% Problem 3: Tangshan China's stock is currently selling for $90.00 per share and the firm's dividends are expected to grow at 5 percent indefinitely. In addition, Tangshan China's most recent dividend was $5.50. If the expected risk free rate of return is 3 percent, the expected market premium is 6 percent, and Tangshan has a beta of 1.2, Tangshan's stock would be ________. 5.50(1+0.05)/0.102-0.05=5.775/0.52=111.06 A. overvalued because the resulting share value is higher than the market value B. undervalued because the market price is less than the resulting share value C.overvalued because the market price is higher than the resulting share value D.undervalued because the resulting share value is less than the market value *What should a rational investor do? How will this a ff ect market e ciency?
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