You manage a risky portfolio with an expected rate of return of 19% and a standard deviation of 31%. The T-bill rate is 5%.   Suppose that your client prefers to invest in your fund a proportion y that maximizes the expected return on the complete portfolio subject to the constraint that the complete portfolio’s standard deviation will not exceed 19%.   a. What is the investment proportion, y? (Round your answer to 2 decimal places.)           b. What is the expected rate of return on the complete portfolio? (Do not round intermediate calculations. Round your answer to 2 decimal places.)

Consider two well-diversified portfolios: Portfolio 1 has an expected return of 8% and a beta of 0.80 while Portfolio 2 has an expected return of 13% and a beta of 1.50. If the risk-free rate is 1.5%, which portfolio would a rational risk-averse investor prefer and why? O A. Portfolio 2 because it has the higher reward to risk ratio. O B. Portfolio 1 because it has the higher reward to risk ratio. OC. Portfolio 2 because it has the higher reward. O D. Portfolio 1 because it has the lower risk.

Consider the following portfolio choice problem. The investor has initial wealth w and utility u(x)=. There is a safe asset (such as a US government bond) that has net real return of zero. There is also a risky asset with a random net return that has only two possible returns, R₁ with probability 1-q and Ro with probability q. We assume R₁ 0. Let A be the amount invested in the risky asset, so that w - A is invested in the safe asset. 1) Does the investor put more or less of his portfolio into the risky asset as his wealth increases?

a. Using the data provided in problem 3, determine the return and risk for a portfolio made up of the following three stocks if you want to distribute your investment as follows: 20% in ADRE; 65% in MSFT and 15% in GOOG.b. How would the portfolio be affected if you distributed your investment in the following way: 30% in ADRE; 25% on MSFT and 45% on GOOG?c. Which of the two portfolios would a risk seeking investor prefer and why?

Assume that you manage a risky portfolio with an expected rate of return of 17% and a standard deviation of 27%. The T-bill rate is 7%. Your risky portfolio includes the following investments in the given proportions: Stock A Stock B Stock C 27% 33 40 Your client decides to invest in your risky portfolio a proportion (y) of his total investment budget with the remainder in a T-bill money market fund so that his overall portfolio will have an expected rate of return of 15%. Required: a. What is the proportion y? (Round your answer to 1 decimal place.) Proportion y 0.8 X %

You manage a risky portfolio with an expected rate of return of 14% and a standard deviation of 30%. The T-bill rate is 2%. Your client chooses to invest 65% of a portfolio in your fund and 35% in a T-bill money market fund. What is the reward-to-volatility (Sharpe) ratio (S) of your risky portfolio? Your client's? Note: Do not round intermediate calculations. Round your answers to 4 decimal places. Your reward-to-volatility (Sharpe) ratio Client's reward-to-volatility (Sharpe) ratio

Find the weights of the two pure factor portfolios constructed from the following three securities: r1 = .06 + 2F¡ + 2F, r2 = .05 + 3F, + IF, r3 = .04 + 3F, + OF, Then write out the factor equations for the two pure factor portfolios, and determine their risk premiums. Assume a risk-free rate that is implied by the factor equations and no arbitrage.

Suppose now that your portfolio must yield an expected return of 13% and be efficient, that is, on the best feasible CAL. What is the proportion invested in the T-bill fund?

In the following exercise, separate the investments according to the type of Keynesian demand they are: Transactions (0% to 5%), Precautionary (6% to 9%), and Speculative demand (greater than 10%). Investment in each category has the same risk. So you want to invest in the highest return for the same risk. Take each demand type and choose the highest return and put that amount into the investment. For example, if Bond fund A has a return of 4% and Fund B has a return of 5%, they have the same risk, so you would put $70 into bond fund B.       You have the following investments Opportunities ad returns. Fidelity Bonds                                       11% Fidelity Magellan                                    9% Putman Bonds one                                4% Putman bonds Two                            12% Growth Stock One                               15% Growth and Income                             8% Income Fund                                           3% Putman Growth…

You manage a risky portfolio with an expected rate of return of 20% and a standard deviation of 36%. The T-bill rate is 5%. Your client chooses to invest 60% of a portfolio in your fund and 40% in an essentially risk-free money market fund. What are the expected return and standard deviation of the rate of return on his portfolio? (Do not round intermediate calculations. Round "Standard deviation" to 2 decimal places.) Rate of Return Expected return % Standard deviation %