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 -2.5 -6.5 2 -2.5 -5.5 3 -2.5 -2.0 4 -2.0 4.0 5 0.0 5.5 6 5.5 6.5 7 7.5 7.5 8 9.5 8.5 9 13.5 12.5 10 18.5 14.5 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 % % % Assuming that the average annual risk-free rate during the 10-year sample period was 1.0%, 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-Manager XManager YItem 9 has performed the best. 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):

Intermediate Financial Management (MindTap Course List)

13th Edition

ISBN:9781337395083

Author:Eugene F. Brigham, Phillip R. Daves

Publisher:Eugene F. Brigham, Phillip R. Daves

Chapter2: Risk And Return: Part I

Section: Chapter Questions

Problem 13P

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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		-2.5	-6.5
2		-2.5	-5.5
3		-2.5	-2.0
4		-2.0	4.0
5		0.0	5.5
6		5.5	6.5
7		7.5	7.5
8		9.5	8.5
9		13.5	12.5
10		18.5	14.5

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 % % %
Assuming that the average annual risk-free rate during the 10-year sample period was 1.0%, 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-Manager XManager YItem 9  has performed the best.
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):

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	Average annual return	Standard deviation of returns	Semi-deviation of returns
Manager X	%	%	%
Manager Y	%	%	%