Required: a. If your risk-aversion coefficient is A = 4.9 and you believe that the entire 1927-2021 period is representative of future expected performance, what fraction of your portfolio should be allocated to T-bills and what fraction to equity? Assume your utility function is u = E(r) - 0.5 × Aσ². b. What if you believe that the 1975-1998 period is representative?

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
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Refer the table below on the average excess return of the U.S. equity market and the
standard deviation of that excess return. Suppose that the U.S. market is your risky
portfolio.
Period
1927-2021
1927-1950
1951-1974
1975-1998
1999-2021
Average Annual
Returns
U.S.
equity
12.17
10.26
10.21
17.97
10.16
1-Month
T-Bills
3.30
0.93
3.59
6.98
1.66
U.S.
Excess
return
8.87
9.33
6.62
10.99
8.50
Equity Market
Standard
Deviation
20.25
26.57
20.32
14.40
18.85
Sharpe
Ratio
0.44
0.35
0.33
0.76
0.45
Required:
a. If your risk-aversion coefficient is A = 4.9 and you believe that the entire 1927-2021
period is representative of future expected performance, what fraction of your
portfolio should be allocated to T-bills and what fraction to equity? Assume your utility
function is u = E(r) 0.5 × Ao².
b. What if you believe that the 1975-1998 period is representative?
Transcribed Image Text:Refer the table below on the average excess return of the U.S. equity market and the standard deviation of that excess return. Suppose that the U.S. market is your risky portfolio. Period 1927-2021 1927-1950 1951-1974 1975-1998 1999-2021 Average Annual Returns U.S. equity 12.17 10.26 10.21 17.97 10.16 1-Month T-Bills 3.30 0.93 3.59 6.98 1.66 U.S. Excess return 8.87 9.33 6.62 10.99 8.50 Equity Market Standard Deviation 20.25 26.57 20.32 14.40 18.85 Sharpe Ratio 0.44 0.35 0.33 0.76 0.45 Required: a. If your risk-aversion coefficient is A = 4.9 and you believe that the entire 1927-2021 period is representative of future expected performance, what fraction of your portfolio should be allocated to T-bills and what fraction to equity? Assume your utility function is u = E(r) 0.5 × Ao². b. What if you believe that the 1975-1998 period is representative?
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