During the year just ended, Anna Schultz's portfolio, which has a beta of 0.96, earned a return of 8.1%. The risk-free rate is currently 3.6%, and the return on the market portfolio during the year just ended was 9.4%.
a. Calculate Treynor's measure for Anna's portfolio for the year just ended.
b. Compare the performance of Anna's portfolio found in part a to that of Stacey Quant's portfolio, which has a Treynor's measure of 1.37%. Which portfolio performed better? Explain.
c. Calculate Treynor's measure for the market portfolio for the year just ended.
d. Use your findings in parts a and c to discuss the performance of Anna's portfolio relative to the market during the year just ended.
a. Treynor Ratio = (Portfolio Return - Risk Free Rate)/Beta
Portfolio = (9.4%-3.6%)/0.96 = 6.04%
b. Anna' Portfolio performance is better than Stacey Quant's
Portfolio because treynor ratio is higher . Higher the treynor
ratio more is the excess return for unit risk.
c. Treynor Ratio for Market - (Portfolio Return - Risk Free
Rate)/Beta Market = (8.1%-3.6%)/1 = 4.5%
d. Anna's portfolio relative to market is better because Anna '
Treynor ratio is higher than market treynor's ratio.
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