What is the amount of the risk premium on a U.S. Treasury bill if the risk-free rate is 2.8 percent and the market rate of return is 8.35 percent?
There is no excess return, or risk premium, for a risk-free security such as the T-bill.
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68.
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A stock had returns of 11 percent, -18 percent, -21 percent, 20 percent, and 34 percent over the past five years. What is the standard deviation of these returns?
Average return = (0.11 - 0.18 - 0.21 + 0.20 + 0.34)/5 = .052;
σ = √[1/(5 - 1)] [(0.11 - 0.052)2 + (-0.18 - 0.052)2 + (-0.21 -0.052)2 + (0.05 - 0.052)2 + (0.34 - 0.052)2] = 24.01 percent |
69.
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The common stock of Air United, Inc., had annual returns of 15.6 percent, 2.4 percent, -11.8 percent, and 32.9 percent over the last four years, respectively. What is the standard deviation of these returns?
Average return = (0.156 + 0.024 - 0.118 + 0.329)/4 = 0.09775
σ = √[1/(4 - 1)] [(0.156 - 0.09775)2 + (0.024 - 0.09775)2 + (-0.118 - 0.09775)2 + (0.329 - 0.09775)2] = 19.05 percent |
70.
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A stock had annual returns of 3.6 percent, -8.7 percent, 5.6 percent, and 12.5 percent over the past four years. Which one of the following best describes the probability that this stock will produce a return of 22 percent or more in a single year?
Average return = (0.036 - 0.087 + 0.056 + 0.125)/4 = 0.0325
∑ = √[1/(4 - 1)] [(0.036 - 0.0325)2 + (-0.087 - 0.0325)2 + (0.056 - 0.0325)2 + (0.125 - 0.0325)2] = 0.0883 Upper end of 95 percent range = 0.0325 + (2 × 0.0883) = 20.91 percent Upper end of 99 percent range = 0.0325 + (3 × 0.0883) = 29.75 percent A return of 22 percent or more in a single year has between a 1 percent and a 2.5 percent probability of occurring in any one year. |
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