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Assume that the expected return on stocks is 12%, the standard deviation of stoc

ID: 2708752 • Letter: A

Question

Assume that the expected return on stocks is 12%, the standard deviation of stocks is 18%, and the riskfree rate is 5%.  Given this information, an investor selects a portfolio with a 70% allocation to stocks and a 30% allocation to the riskfree asset.  According to the derivation of risk tolerance found in Equation (17.2), what risk tolerance is indicated by this choice?  In words, describe what this value means.

Assume that the expected return on stocks is 12%, the standard deviation of stocks is 18%, and the riskfree rate is 5%. Given this information, an investor selects a portfolio with a 70% allocation to stocks and a 30% allocation to the riskfree asset. According to the derivation of risk tolerance found in Equation (17.2), what risk tolerance is indicated by this choice? In words, describe what this value means.

Explanation / Answer

Assume that the expected return on stocks is 12%, the standard deviation of stocks is 18%, and the riskfree rate is 5%. Given this information, an investor selects a portfolio with a 70% allocation to stocks and a 30% allocation to the riskfree asset. According to the derivation of risk tolerance found in Equation (17.2), what risk tolerance is indicated by this choice? In words, describe what this value means.



Expected rate of return from stock = 12% x $70 = $8.4

Standard deviation = 18% x $8.4 = 8.4*0.18 = $1.512

return from risk free asset = 5% x $30 = $1.5

therefore, return on total invest ment = $8.4+$1.5 = $9.9

risk tolerance = $1.512/$9.9 = 15.27%---------------ANSWER




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