Kelli Blakely is a portfolio manager for the Miranda Fund (Miranda), a core larg
ID: 2750309 • Letter: K
Question
Kelli Blakely is a portfolio manager for the Miranda Fund (Miranda), a core large-cap equity fund. The market proxy and benchmark for performance measurement purposes is the S&P 500. Although the Miranda portfolio generally mirrors the asset class and sector weightings of the S&P, Blakely is allowed a significant amount of leeway in managing the fund. Her portfolio holds only stocks found in the S&P 500 and cash.
Blakely was able to produce exceptional returns last year (as outlined in the table below) through her market-timing and security selection skills. At the outset of the year, she became extremely concerned that the combination of a weak economy and geopolitical uncertainties would negatively impact the market. Taking a bold step, she changed her market allocation. For the entire year her asset class exposures averaged 50% in stocks and 50% in cash. The S&P’s allocation between stocks and cash during the period was a constant 92% and 8%, respectively. The risk-free rate of return was 3%.
One-Year Trailing Returns
Please round 4 decimal places
What are the Sharpe ratios for the Miranda Fund and the S&P 500? (Negative values should be indicated by a minus sign. Do not round intermediate calculations. Round your answers to 4 decimal places.)
What is the M2 measure for Miranda? (Do not round intermediate calculations. Round your answer to 2 decimal places.)
What is the Treynor measure for the Miranda Fund and the S&P 500? (Negative values should be indicated by a minus sign. Do not round intermediate calculations. Round your answers to 4 decimal places.)
What is the Jensen measure for the Miranda Fund? (Do not round intermediate calculations. Round your answers to 4 decimal places.)
Kelli Blakely is a portfolio manager for the Miranda Fund (Miranda), a core large-cap equity fund. The market proxy and benchmark for performance measurement purposes is the S&P 500. Although the Miranda portfolio generally mirrors the asset class and sector weightings of the S&P, Blakely is allowed a significant amount of leeway in managing the fund. Her portfolio holds only stocks found in the S&P 500 and cash.
Blakely was able to produce exceptional returns last year (as outlined in the table below) through her market-timing and security selection skills. At the outset of the year, she became extremely concerned that the combination of a weak economy and geopolitical uncertainties would negatively impact the market. Taking a bold step, she changed her market allocation. For the entire year her asset class exposures averaged 50% in stocks and 50% in cash. The S&P’s allocation between stocks and cash during the period was a constant 92% and 8%, respectively. The risk-free rate of return was 3%.
Explanation / Answer
a. Sharpe Ratio = (Expected portfolio return - Risk free rate) / Portfolio Standard Deviation
Mirands Fund = (9.1% - 3% / 32% = 0.19%
S & P 500 = (-22.8 - 3% / 37% = -0.6972 %
b. M2 Measure = Risk free rate + Portfolio Sharpe * Market Standard deviation
Miranda fund = 3% + 0.19%% * 35% = 9.65%
c. Treynor measure = (Return on portfolio - Risk free rate) / Beta
Miranda Fund = (9.1% - 3%) / 1.40= 4.357%
S & P 500 = (-22.8% - 3%) / 1.0 = -25.8%
d. Jensen measure = Expected portfolio return - [ Risk free rate + Beta (Expected market return - Risk free rate)]
Miranda fund = 9.1% - [3% + 1.40 (9.1% - 3%)]
= 9.1%% - [3% + 8.54%]
= 9.1% - 11.4% = -2.44%
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