Suppose the expected return on the tangent portfolio is 12% and its volatility is 30%. The risk-free rate is 3%. (a) What is the equation of the Capital Market Line (CML)?
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Suppose the expected return on the tangent portfolio is 12% and its volatility is 30%.
The risk-free rate is 3%.
(a) What is the equation of the Capital Market Line (CML)?
(b) What is the standard deviation of an efficient portfolio whose expected return of
16.5%? How would you allocate $3,000 to achieve this position
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- Which statement about portfolio diversification is CORRECT? i) Typically, as more securities are added to a portfolio, total risk would be expected to decrease at an increasing rate.ii) Proper diversification can reduce or eliminate total risk.iii) The risk-reducing benefits of diversification do not occur meaningfully until at least 50-60 individual securities have been purchased.iv) Because diversification reduces a portfolio's total risk, it necessarily reduces the portfolio's expected return.Suppose you have just inherited $10,500 and are considering different options for investing the money to maximize your return. If you are risk-neutral (that is, neither seek out or shy away from risk), which of the following options should you choose to maximize your expected return? A. Hold the money in cash and earn zero return. B. Invest the money in a corporate bond, with a stated return of 4%, but there is a chance of 9% the company could go bankrupt. C. Put the money in an interest-bearing checking account, which earns 3%. The FDIC insures the account against bank failure. D. Loan the money to one of your friends' roommates, Mike, at an agreed upon interest rate of 7%, but you believe there is a 5% chance that Mike will leave town without repaying you.You are considering two portfolios. Portfolio A has an expected return of 15% and a standard deviation of 30%. Portfolio B has an expected return of 6% and a standard deviation of 19%. What is the certainty equivalent of these portfolios, specifically when your risk aversion is such that you are indifferent between portfolio A and portfolio B?
- Using the Utility Function in Portfolio Management, where the utility function is the constant relative risk aversion utility of wealth function U(W) = W^(gamma)/gamma, set gamma to 0.5 and consider a 50-50 bet on winning 50,000 or getting nothing. What is the certainty equivalent wealth for this bet under these assumptions? Group of answer choices 30,000 10,000 25,000 12,500Suppose you visit with a financial adviser, and you are considering investing some of your wealth in one of three investment portfolios stocks, bonds, or commodities. Your financial adviser provides you with the following table, which gives the probabilities of possible returns from each investment To maximize your expected return, you should choose: Stocks Bonds Probability Return Probability Return 0.15 20% 0.15 16.7% 06 10% T 04 7.5% 0.25 8% 0.45 3.3% OA bonds OB stocks OC. commodities OD. All of the portfolios have the same expected return. If you are risk-averse and had to choose between the stock or the bond investments, you would choose OA the stock portfolio because there is less uncertainty over the outcome OB. the bond portfolio because there is less uncertainty over the outcome. OC. the stock portfolio because of greater expected return. OD. the bond portfolio because of greater expected return. Commodities Probability Return 02 20% 0.2 15% 0.2 8% 02 02 5% 0%QUESTION 1 Elizabeth has decided to form a portfolio by putting 30% of her money into stock 1 and 70% into stock 2. She assumes that the expected returns will be 10% and 18%, respectively, and that the standard deviations will be 15% and 24%, respectively. Compute the standard deviation of the returns on the portfolio assuming that the two stocks' returns are uncorrelated. 17.4%. 27.4%. 7.4%. 11.4%. QUESTION 2 Elizabeth has decided to form a portfolio by putting 30% of her money into stock 1 and 70% into stock 2. She assumes that the expected returns will be 10% and 18%, respectively, and that the standard deviations will be 15% and 24%, respectively. Describe what happens to the standard deviation of the portfolio returns when the coefficient of correlation ρ decreases. The standard deviation of the portfolio returns decreases as the coefficient of correlation decreases. The standard deviation of the portfolio returns increases as the coefficient…
- Given the following information, what is the standard deviation of the returns on a portfolio that is invested 35 percent in both Stocks A and C, and 30 percent in Stock B? (see attached chart)Portfolios A, B, and C all lie on the efficient frontier that allows for risk-free borrowing and lending. Portfolio A and B have the following expected returns and return variances: A: μ_A=0.0925 , σ_A^2=0.0225 ; B: μ_B=0.11 , σ_B^2=0.04. Portfolio C’s return has variance σ_C^2=0.1225. What is the expected return and Sharpe ratio of Portfolio C? What is the risk-free interest rate? Explain your calculationsStock X has a 9.5% expected return, a beta coefficient of 0.8, and a 30% standard deviation of expected returns. Stock Y has a 12.0% expected return, a beta coefficient of 1.1, and a 30.0% standard deviation. The risk-free rate is 6%, and the market risk premium is 5%. Calculate the required return of a portfolio that has $7,500 invested in Stock X and $5,500 invested in Stock Y. Do not round intermediate calculations. Round your answer to two decimal places. rp = %
- Your retirement portfolio comprises 100 shares of the Standard & Poor's 500 fund (SPY) and 100 shares of iShares Barclays Aggregate Bond Fund (AGG). The price of SPY is $115 and that of AGG is $96. If you expect the return on SPY to be 10% in the next year and the return on AGG to be 5%, what is the expected return for your retirement portfolio?Consider the following portfolio choice problem. The investor has initial wealth w and utility u(x) = x^n/n . 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 R0 with probability q. We assume R1 < 0, R0 > 0. Let A be the amount invested in the risky asset, so that w − A is invested in the safe asset. 1. What are risk preferences of this investor, are they risk-averse, riskneutral or risk-loving? 2. Find A as a function of w. 3. Does the investor put more or less of his portfolio into the risky asset as his wealth increases? 4. Now find the share of wealth, α, invested in the risky asset. How does α change with wealth? 5. Calculate relative risk aversion for this investor. How does relative risk aversion depend on wealth?The value of Jon’s stock portfolio is given by the function v(t) = 50 + 77t + 3t2, where v is the value of the portfolio in hundreds of dollars and t is the time in months. How much money did Jon start with? (y-intercept) What is the minimum value of Jon’s portfolio? (vertex)