You are evaluating the performance of two portfolio managers, and you have gathered annual return data for the past decade: Year Manager X Return (%) Manager Y Return (%) 1 -1.5 -6.5 2 -1.5 -3.5 3 -1.5 -1.5 4 -1.0 3.5 5 0.0 4.5 6 4.5 6.5 7 6.5 7.5 8 8.5 8.5 9 13,5 12.5 10 18.5 14.5 a. For each manager, calculate (1) the average annual return, (2) the standard deviation of returns, and (3) the semi-deviation of returns. Do not round intermediate calculations. Round your answers to two decimal places. Average annual return Standard deviation of returns Semi-deviation of returns Manager X Manager Y b. Assuming that the average annual risk-free rate during the 10-year sample period was 3.0%, calculate the Sharpe ratio for each portfolio. Based on these computations, which manager appears to have performed the best? Do not round intermediate calculations. Round your answers to three decimal places. Sharpe ratio (Manager X): Sharpe ratio (Manager Y): Based on Sharpe ratio -Select- v has performed the best. c. Calculate the Sortino ratio for each portfolio, using the average risk-free rate as the minimum acceptable return threshold. Based on these computations, which manager appears to have performed the best? Do not round intermediate calculations. Round your answers to three decimal places. Sortino ratio (Manager X): Sortino ratio (Manager Y): Based on Sortino ratio -Select- v has performed the best. d. When would you expect the Sharpe and Sortino measures to provide (1) the same performance ranking, or (2) different performance rankings? The Sharpe and Sortino measures should provide the same performance ranking when the return distributions are -Select- v for the funds or managers under consideration. The performance rankings should differ when the return distributions are -Select-
You are evaluating the performance of two portfolio managers, and you have gathered annual return data for the past decade: Year Manager X Return (%) Manager Y Return (%) 1 -1.5 -6.5 2 -1.5 -3.5 3 -1.5 -1.5 4 -1.0 3.5 5 0.0 4.5 6 4.5 6.5 7 6.5 7.5 8 8.5 8.5 9 13,5 12.5 10 18.5 14.5 a. For each manager, calculate (1) the average annual return, (2) the standard deviation of returns, and (3) the semi-deviation of returns. Do not round intermediate calculations. Round your answers to two decimal places. Average annual return Standard deviation of returns Semi-deviation of returns Manager X Manager Y b. Assuming that the average annual risk-free rate during the 10-year sample period was 3.0%, calculate the Sharpe ratio for each portfolio. Based on these computations, which manager appears to have performed the best? Do not round intermediate calculations. Round your answers to three decimal places. Sharpe ratio (Manager X): Sharpe ratio (Manager Y): Based on Sharpe ratio -Select- v has performed the best. c. Calculate the Sortino ratio for each portfolio, using the average risk-free rate as the minimum acceptable return threshold. Based on these computations, which manager appears to have performed the best? Do not round intermediate calculations. Round your answers to three decimal places. Sortino ratio (Manager X): Sortino ratio (Manager Y): Based on Sortino ratio -Select- v has performed the best. d. When would you expect the Sharpe and Sortino measures to provide (1) the same performance ranking, or (2) different performance rankings? The Sharpe and Sortino measures should provide the same performance ranking when the return distributions are -Select- v for the funds or managers under consideration. The performance rankings should differ when the return distributions are -Select-
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
Section: Chapter Questions
Problem 1PS
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Transcribed Image Text:You are evaluating the performance of two portfolio managers, and you have gathered annual return data for the past decade:
Year Manager X Return (%) Manager Y Return (%)
1
-1.5
-6.5
-1.5
-3.5
3
-1.5
-1.5
4
-1.0
3.5
5
0.0
4.5
4.5
6.5
7
6.5
7.5
8
8.5
8.5
13.5
12.5
10
18.5
14.5
a. For each manager, calculate (1) the average annual return, (2) the standard deviation of returns, and (3) the semi-deviation of returns. Do not round intermediate calculations.
Round your answers to two decimal places.
Average annual return Standard deviation of returns Semi-deviation of returns
Manager X
%
%
%
Manager Y
%
%
%
b. Assuming that the average annual risk-free rate during the 10-year sample period was 3.0%, calculate the Sharpe ratio for each portfolio. Based on these computations, which
manager appears to have performed the best? Do not round intermediate calculations. Round your answers to three decimal places.
Sharpe ratio (Manager X):
Sharpe ratio (Manager Y):
Based on Sharpe ratio -Select-
) has performed the best.
c. Calculate the Sortino ratio for each portfolio, using the average risk-free rate as the minimum acceptable return threshold. Based on these computations, which manager appears to
have performed the best? Do not round intermediate calculations. Round your answers to three decimal places.
Sortino ratio (Manager X):
Sortino ratio (Manager Y):
Based on Sortino ratio -Select- v has performed the best.
d. When would you expect the Sharpe and Sortino measures to provide (1) the same performance ranking, or (2) different performance rankings?
The Sharpe and Sortino measures should provide the same performance ranking when the return distributions are -Select-
The performance rankings should differ when the return distributions are -Select-
v for the funds or managers under consideration.
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