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What is the minimum variance portfolio of 2 risky assets?
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- Need qualitiey answer Define a rational risk aversive investor.1. Sally is evaluating two portfolios which consist of four assets but with different proportions. She is interested in using beta to compare the risk of the portfolio. Given below is the information on each of the portfolios: Portfolio Weights (%) Portfolio Weights (%) Asset Asset Beta Portfolio X Portfolio Y 1 1.20 15 25 2 0.95 20 20 3 0.70 40 25 4 1.30 25 30 Total 100 100 (a) Calculate the betas for portfolios X and Y. (6) (b) Compare the risk of each portfolio to the market portfolio as well as to each other. Assume the market beta is 1.0. (4) (c) Determine which portfolio is riskier. Explain. (4) (d) Calculate the required return for each portfolio based on the capital asset pricing model (CAPM), assuming the risk-free rate is 2% and the market return is 9%. (6) (Total / Jumlah: 20)3b. By investing in a particular stock, Mullins can in one year make a profit of $5000 with a probability 0.4 or lose $5000 with probability of 0.6. What is Mullins expected gain?
- 3. The risk free rate is 3%. The optimal risky portfolio has an expected return of 9% and standard deviation of 20%. Answer the following questions. (a) Assume the utility function of an investor is U = E(r) − 0.5Aσ2. What is condition of A to make the investors prefer the optimal risky portfolio than the risk free asset? (b) Assume the utility function of an investor is U = E(r) − 2.5σ2. What is the expected return and standard deviation of the investor’s optimal complete portfolio?Question: What are the equations for measuring return and risk?What is risk selection and discuss any 2 methods that can be used to eliminate this.
- Problem 2 Suppose a firm needs $100 to invest in a project. The firm can choose between two projects: S (safe) or R (risky). The bank cannot directly control the choice of project. If it is S, then it will yield a cash flow of $300 with probability 0.8 and zero with probability 0.2. If it is R., the project will yield a cash flow of $423 with probability 0.5 and zero with probability 0.5. Everybody is risk neutral. The riskless interest rate is 20%. The bank would like to induce the choice of project S. Assume that collateral worth $1 to the firm is worth $0.9 to the bank. The banking sector is perfectly competitive. a. Demonstrate that when the bank offers an unsecured loan, project S will never be chosen. b. Calculate the interest rate when the bank offers an unsecured loan. c. What kind of secured contract would the bank offer to induce the choice of project S? d. Calculate the collateral and interest rate associated with this secured contract.2A risk-averse investor will: a. Always accept a greater risk with a greater expected return b. Only invest in assets providing certain returns c. Sometimes accept a lower expected return if it means less ri d. Never accept lower risk if it means accepting a lower expected return
