The returns on the Bledsoe Small-Cap Fund are the most volatile of all the mutual funds offered in the 401(k) plan. Why would you ever want to invest in this fund? When you examine the expenses of the mutual funds, you will notice that this fund also has the highest expenses. Does this affect your decision to invest in this fund? A measure of risk-adjusted performance that is often used is the Sharpe ratio. The Sharpe ratio is calculated as the risk premium of an asset divided by its standard deviation. The standard deviation and return of the funds over the past 10 years are listed below. Calculate the Sharpe ratio for each of these funds. Assume that the expected return and standard deviation of the company stock will be 15 percent and 65 percent, respectively. Calculate the Sharpe ratio for the company stock. How appropriate is the Sharpe ratio for these assets? When would you use the Sharpe ratio? Assume the risk-free rate was 2.76 percent.

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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  1. The returns on the Bledsoe Small-Cap Fund are the most volatile of all the mutual funds offered in the 401(k) plan. Why would you ever want to invest in this fund? When you examine the expenses of the mutual funds, you will notice that this fund also has the highest expenses. Does this affect your decision to invest in this fund?

    A measure of risk-adjusted performance that is often used is the Sharpe ratio. The Sharpe ratio is calculated as the risk premium of an asset divided by its standard deviation. The standard deviation and return of the funds over the past 10 years are listed below. Calculate the Sharpe ratio for each of these funds. Assume that the expected return and standard deviation of the company stock will be 15 percent and 65 percent, respectively. Calculate the Sharpe ratio for the company stock. How appropriate is the Sharpe ratio for these assets? When would you use the Sharpe ratio? Assume the risk-free rate was 2.76 percent.

     

    10-YEAR ANNUAL RETURN

    STANDARD DEVIATION

    Bledsoe S&P 500 Index Fund

    10.15%

    23.85%

    Bledsoe Small-Cap Fund

    14.83

    29.62

    Bledsoe Large-Company Stock Fund

    11.08

    26.73

    Bledsoe Bond Fund

    8.15

    10.34

  2. What portfolio allocation would you choose? Why? Explain your thinking carefully.

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