Consider a portfolio manager with a $20,500,000 equity portfolio under management. The manager wishes to hedge against a decline in share values using stock index futures. Currently a stock index future is priced at 1250 and has a multiplier of 250. The portfolio beta is 1.25. Calculate the number of contract required to hedge the risk exposure and indicate whether the manager should be short or long. O 82 contracts long. 100 contract short. 82 contracts short.
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- The following data are available to you as portfolio manager: Security Estimated return (%) Beta A 40 3.0 B 35 2.5 C 30 1.0 D 17.5 1.8 E 20.0 1.5 Market Index 25 2.0 Government Security 17 0 In terms of the security market line, which of the securities listed above are underpriced? Assuming that a portfolio is constructed using equal proportions of the five securities listed above, calculate the expected return and risk of such a portfolioConsider a portfolio manager with a $20,500,000 equity portfolio under management. The manager wishes to hedge against a decline in share values using stock index futures. Currently a stock index future is priced at 2,550 and has a multiplier of 250. The portfolio beta is 1.25. How many contracts do you need to sell?Suppose we have the following information: Securit Amount Invested Expected Return Beta Stock A RM1 ,OOO 8% 0.80 Stock B RM2,OOO 12% 0.95 Stock C RM3,OOO 15% 1.10 Stock D RM4,OOO 18% a) Compute the expected return on this portfolio. b) Calculate the beta of the portfolio. c) Does this portfolio have more or less systematic risk than an average asset? Explain.
- . The following questions are related to modern portfolio theory. • Assume there are only two stocks in the equity market. •The risk-free rate is 1.00%. Stock Return Volatility Correlation Matrix Y 0.7 1.0 X Y X 15.00% 20.00% 1.0 10.00% 15.00% 0.7 (a) Make an investment portfolio using the risky assets that has an expected return 12%. (b) Calculate the volatility of the portfolio in (a).An investor is forming a portfolio by investing $50,000 in stock A which has a beta of 2.40, and $50,000 in stock B which has a beta of 0.60. The return on the market is equal to 8% and treasure bonds have a yield of 3% (rRF). What’s the portfolio beta? 0.60 1.30 1.50 1.80 Using the information in Question 41, calculate the required rate of return on the investor’s portfolio 11.0% 15.0% 12.0% 10.5% A retail store is offering a diamond ring for sale for 36 months at $128 per month. The retail price of the ring is $4,000. What is the interest rate on this offer? 9.43% 11.20% 11.98% 12.11%Consider an investment portfolio that consists of three different stocks, with the amount invested in each asset shownbelow. Assume the risk-free rate is 2.5% and the market risk premium is 6%. Use this information to answer thefollowing questions.Stock Weights BetasChesapeake Energy 25% 0.8Sodastream 50% 1.3Pentair 25% 1.0a) Compute the expected return for each stock using the CAPM and assuming that the stocks are all fairly priced.b) Compute the portfolio beta and the expected return on the portfolio.c) Now assume that the portfolio only includes 50% invested in Pentair and 50% invested in Sodastream (i.e., a twoassetportfolio). The yearly-return standard deviation of Pentair is 48% and the yearly-return standard deviation ofSodastream is 60%. The correlation coefficent between Pentair’s returns and Sodastream’s returns is 0.3 What is theexpected yearly-return standard deviation for this portfolio?
- Consider a portfolio consisting of the following three stocks: an expected return of 8%. The risk-free rate is 3%. a. Compute the beta and expected return of each stock. ▪ The volatility of the market portfolio is 10% and it has b. Using your answer from part a, calculate the expected return of the portfolio. c. What is the beta of the portfolio? d. Using your answer from part c, calculate the expected return of the portfolio and verify that it matches your answer to part b.Suppose you have a portfolio that has $290 in stock A with a beta of 1.04, $1, 160 in stock B with a beta of1.34, and $870 in the risk-free asset. You have another $580 to invest. You wish to achieve a beta for yourwhole portfolio to be the same as the market beta. What is the beta of the added security?As an equity analyst, you have developed the following return forecasts and risk estimates for two different stock mutual funds (Fund T and Fund U): Forecasted Return CAPM Beta Fund T 9.00% 1.20 Fund U 10.00% 0.80 f the risk-free rate (RFR) is 3.9% and the expected market risk premium (i.e., E(Ra) – RFR) is 6.1%, calculate the expected return for each mutual fund according to the 3.а. САРМ.
- An investor has a portfolio of two securities, a stock with a beta of 1.24 and a risk-free asset. The stock has an expected return of 13.68% and the risk-free asset has an expected return of 2.80%. The portfolio beta is 0.65. What rate of return should the investor expect to earn on her portfolio? Group of answer choices 8.50% 9.16% 9.33% 9.41%Currently, you own a portfolio comprised of the following three securities. How much of the riskiest security should you sell and replace with risk-free securities if you want your portfolio beta to equal 90 percent of the market beta? Stock Value $13,640 15,980 23,260 E F Multiple Choice O $7,023.15 $7,811.29 O $8,666.67 O $7,753.51 Beta 1.13 1.48 .86 $8,318.50Currently the risk-free rate equals 5% and the expected return on the market portfolio equals 11%. An investment analyst provides you with the following information: Stock A Beta 1.33 Expected Return 12% Stock B Beta 0.7 Expected Return 10% (a) Calculate the reward-to-risk ratios of stock A, stock B and in market equilibrium. Are stock A and stock B overvalued, undervalued or fairly valued? Briefly explain. [within 150 words] (b) You want a portfolio with the same risk as the market. Calculate the weights of stock A and B respectively. (please show me steps and round the final answer to 2 decimal places, thanks)