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Stock A Stock B Risk-free Rate Average 11.00% 9.00% 6% Variance 12.00% 10.00% Sigma 0.3464 0.3162 Cov(rA,rB) 0.0400 Correlation(rA, rB) 3.3333 Part A. Calculate portfolio's
Stock A | Stock B | Risk-free Rate | |
Average | 11.00% | 9.00% | 6% |
Variance | 12.00% | 10.00% | |
Sigma | 0.3464 | 0.3162 | |
Cov(rA,rB) | 0.0400 | ||
Correlation(rA, rB) | 3.3333 | ||
Part A. Calculate portfolio's Sharpe ratio and other statistics | |||
Percentage in A | 50.00% | ||
Percentage in B | 50.00% | ||
Expected portfolio return, E(rp) | 10.00% | ||
Portfolio standard deviation, sp | 7.50% | ||
Sharpe Ratio | 0.5333 | ||
Part B. Identify the market portfolio, the intercept and the slope of the capital market line (CML) equation | |||
Percentage of A in the market portfolio | 0.00% | ||
Percentage of B in the market portfolio | |||
The market portfolio expected return | |||
The market portfolio standard deviation | |||
CML intercept | |||
CML slope | |||
Part C. If you invest 20% of your investment at the risk-free rate and the rest fund in the market portfolio, what are your portfolio expected return and standard deviation? | |||
Percentage of investment in the risk-free asset | |||
Percentage of investment in the market portfolio | |||
Expected portfolio return, E(rp) | |||
Portfolio standard deviation, sp | |||
Part D. Suppose you are able to borrow $1000 at the risk-free rate, and invest both borrowed capital and $5000 of your own capital into the market portfolio | |||
Percentage of investment in the risk-free asset | |||
Percentage of investment in the market portfolio | |||
Expected portfolio return, E(rp) | |||
Portfolio standard deviation, sp |
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