i. Sharpe ratio ii. Treynor measure iii. Jensen's alpha

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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a. Using the data in the table below and calculate the following performance measures.
i. Sharpe ratio
ii. Treynor measure
iii. Jensen's alpha
iv. M-squared measure
v. T-squared measure, and
vi. Appraisal ratio (information ratio)
Average Standard
Beta
Unsystematic
Fund
Return
Deviation Coefficient
Risk
A
0.240
0.800
0.900
0.220
0.017
B
0.200
0.170
0.450
C
0.380
0.290
0.400
0.290
1.200
0.074
0.260
0.180
1.100
0.026
E
0.900
0.121
F
0.460
0.190
0.180
0.153
0.120
0.320
1.100
G
0.250
0.700
Market
0.220
1.000
0.000
Risk-free
return
0.050
0.000
Transcribed Image Text:a. Using the data in the table below and calculate the following performance measures. i. Sharpe ratio ii. Treynor measure iii. Jensen's alpha iv. M-squared measure v. T-squared measure, and vi. Appraisal ratio (information ratio) Average Standard Beta Unsystematic Fund Return Deviation Coefficient Risk A 0.240 0.800 0.900 0.220 0.017 B 0.200 0.170 0.450 C 0.380 0.290 0.400 0.290 1.200 0.074 0.260 0.180 1.100 0.026 E 0.900 0.121 F 0.460 0.190 0.180 0.153 0.120 0.320 1.100 G 0.250 0.700 Market 0.220 1.000 0.000 Risk-free return 0.050 0.000
b. Out of the performance measures you calculated in part a., which one would you use under each
of the following circumstances:
i.
You want to select one of the funds as your risky portfolio.
ii.
You want to select one of the funds to be mixed with the rest of your portfolio,
currently composed solely of holdings in the market-index fund.
iii.
You want to select one of the funds to form an actively managed stock portfolio.
Transcribed Image Text:b. Out of the performance measures you calculated in part a., which one would you use under each of the following circumstances: i. You want to select one of the funds as your risky portfolio. ii. You want to select one of the funds to be mixed with the rest of your portfolio, currently composed solely of holdings in the market-index fund. iii. You want to select one of the funds to form an actively managed stock portfolio.
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