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1. Using the variance-covariance matrix (∑) and the expected return vector (er) given in the appendix, calculate the set of weights that correspond to the portfolio that maximizes the Sharpe Ratio assuming a risk free rate of return of 3% per year, subject only to the constraint that the sum of the weights must be 1.2. For the portfolio derived in (1) above, determine the expected annual return and the annual standard deviation for that portfolio. Also determine the Sharpe Ratio.3. For each of the individual assets that comprise the optimal portfolio that you determined in (1) and (2) above, calculate the ratio of the expected return for each asset in excess of the risk-free rate to the marginal variance for that asset. Compare these values with the corresponding value for the portfolio as a whole. Is this what you expected? Why or why not?4. Using the results determined above, if an investor has a risk aversion factor of 1.3 (A), identify his investment allocation to each individual asset included in his overall portfolio. What is his expected return? What is the standard deviation of that portfolio?5. Repeat problem (4), but for an investor with a risk tolerance factor of 3.8 (A). Do the differences between the portfolio determined in (5) and the portfolio determined in (6) make sense? Why or why not?6. Say that you run a well-diversified mutual fund and the expected return on that fund is 16.2% and the standard deviation of that fund is 30.7%. What is the largest fee that you can charge annually for investors wanting to invest in your fund in order for investors to be indifferent between investing in your fund or in the optimal portfolio that you determined in step (2)?7. Calculate the betas for each of the individual assets that comprise the optimal portfolio with respect to that optimal portfolio.8. Calculate the expected returns using the betas that you determined in (8) and the market expected return that you calculated in (2). The risk free rate is still 3%. Are these expected returns consistent with the input data?
Advantages and Disadvantage of Profitability Index Advantages of profitability index a) Simple to understand and utilize. b) The part of NPV in the venture will show t
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A bondholder buys a bond maturing in two years for Rs. 120 and earns Rs.15 per annum as interest. His YTM is ______ %.
You are called in as a financial analyst to appraise the bonds of Olsen’s Clothing Stores. The $1,000 par value bonds have a quoted annual interest rate of 13 percent, which is pai
Lease Finance Leasing is a contract between one party called lessor as owner of asset and other called lessee whereas the lessee is provided the right to utilize the asset as
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Tank Industries Washers decides to pay the following dividends over the next four years: $2.50, $3.20, $4.75 and $5.20 respectively (starting at time 1). a. After year 4, the
Profitability Index or P.I. P.I. (benefit-cost ratio) = Present value of inflows / Present value of cash outlay Whether P.I. is greater than 1.0, invest and whereas less th
Dividend Payout Ratio Dividend payout ratio = (DPS/EPS) x 100 = Dividend paid/ Earning to ordinary shareholder This is the reci
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