What are the Sharpe ratios for the Miranda Fund and the S&P 500?

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 weights of the S&P, Blakey is allowed a significant amount of leeway in managing the fund. Her portfolio holds only stocks found in the S&P 500 and cash.

Blakey was able to produce exceptional results 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 stock and 50% in cash. The S&P’s allocation between stocks and cash during the period was a constant 90% and 10%, respectively. The risk-free rate of return was 2%.

One-Year Training Returns
	Miranda Fund	S&P 500
Return	9.8%	-21.5%
Standard deviation	39.0%	44%
Beta	1.10	1.00

a. 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.)

Sharpe Ratio

Miranda fund _______________

S&P 500 __________________

b. What is the measure for Miranda? (Do not round intermediate calculations. Round your answer to 2 decimal places.)

Measure _________%

c. 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.)

Treynor Measure

Miranda __________________

S&P 500 __________________

d. What is the Jensen measure for the Miranda Fund? (Do not round intermediate calculations. Round your answers to 4 decimal places.)

Jensen measure _______________