The document compares the risk and return profiles of two mutual funds. The riskier fund has an expected return of 9.2% and standard deviation of 15.3%, while the less risky fund has an expected return of 6% and standard deviation of 7.5%. It asks to calculate the probability of negative and above 11% returns for each fund and identify the fund that minimizes/maximizes each probability based on a normal distribution assumption.
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You are considering the riskreturn profile of two mutual fu.pdf
1. You are considering the risk-return profile of two mutual funds for investment. The relatively risky
fund promises an expected return of 9.2% with a standard deviation of 15.3%. The relatively less
risky fund promises an expected return and standard deviation of 6% and 7.5%, respectively.
Assume that the returns are approximately normally distributed.
a-1. Calculate the probability of earning a negative return for each fund.
Note: Do not round intermediate calculations. Round your final answers to 4 decimal
places.
a-2. Which mutual fund will you pick if your objective is to minimize the probability of earning a
negative return?
b-1. Calculate the probability of earning a return above 11% for each fund.
Note: Do not round intermediate calculations. Round your final answers to 4 decimal
places.
b-2. Which mutual fund will you pick if your objective is to maximize the probability of earning a
return above 11%?