Question
Suppose Jim and John both have a 1-month investment horizon and access to two stockportfolios and 1-month T-bills. Jim only cares about the expected 1-month
Suppose Jim and John both have a 1-month investment horizon and access to two stockportfolios and 1-month T-bills. Jim only cares about the expected 1-month return on hisportfolio and the standard deviation of the 1-month return on his portfolio, and John onlycares about the expected 1-month return on his portfolio and the standard deviation of the1-month return on his portfolio. Jim is more risk averse than John. The two stockportfolios are a portfolio of value firms and the S&P 500 index.The return on 1-monthT-bills,Rf, is 0.39%, and the following data is available for the 1-month return on the portfolio of value firms, RValue, and the 1-month return on S&P 500 index,
RS&P:E[RValue] = 1.23%E
[RS&P] = 0.94%
[RValue] = 5.67%
[RS&P] = 4.38%
[RValue, RS&P] = 0.73
Jim now tells you that the risky-asset portfolio he chooses to hold in combination with 1-month T-bills has 71.463% invested in the value-stock portfolio and 28.537% in the S&P500 index.
D. What is the slope of the capital allocation line for:
1. The value-firm portfolio?
2. The S&P 500 index?
3. The portfolio that Jim chooses to hold?
4. The portfolio that John chooses to hold?
E. Jim tells you that he has invested 75% of his portfolio in 1-month T-bills.
1. What fraction of Jims portfolio is invested the value-stock portfolio?
2. What fraction of Jims portfolio is invested the S&P 500 index?
3. What, if anything, can be said about the fraction of Johns portfolio invested in 1-month T-bills
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