Question
?Consider historical data showing that the average annual rate of return on the a particular stock portfolio over the past 80 years has averaged roughly
?Consider historical data showing that the average annual rate of return on the a particular stock portfolio over the past 80 years has averaged roughly 9% more than the Treasury bill return and that the stock portfolio standard deviation has been about 20% per year. Assume these values are representative of investors expectations for future performance and that the current T-bill rate is 6%. Calculate the utility levels of each portfolio for an investor with A = 2. Assume the utility function is U = E(r) 0.5 A?2.
The pictures are of my work...the first and last answers are correct, but the middle ones (.1, .09, .08, .07) are incorrect.
W Bills | W Index | U (A=2) |
0 | 1 | |
.2 | .8 | |
.4 | .6 | |
.6 | .4 | |
.8 | .2 | |
1 | 0 |
Rf Rp 6% 15% 20% U-E(r)-0.5xA(std dev.)2 W Index U (A 2) 1 0.8 0.6 0.4 0.2 W Bills 0 0.2 0.4 0.6 0.8 0.1100 0.1000 0.0900 0.0800 0.0700 0.0600 0
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