138. You are considering the risk-return profile of two mutual funds for investment. The relatively risky fund promises an expected return of 8% with a standard deviation of 14%. The relatively less risky fund promises an expected return and standard deviation of 4% and 5%, respectively. Assume that the returns are approximately normally distributed. [You may find it useful to reference the z table.] Calculate the probability of earning a negative return for each fund. (Round "z" value to 2 decimal places and final answers to 4 decimal places.) Which mutual fund will you pick if your objective is to minimize the probability of earning a negative return? Calculate the probability of earning a return above 8% for each fund. (Round "z" value to 2 decimal places and final answers to 4 decimal places.) Which mutual fund will you pick if your objective is to maximize the probability of earning a return above 8%?
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The z-score is calculated as (X - μ) / σ, where X is the value we're interested in (in this case, 0), μ is the mean (the expected return), and σ is the standard deviation. For the first fund, the z-score is (0 - 8) / 14 = -0.57. For the second fund, the z-score Show more…
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