You want to create a portfolio equally as risky as the market, and you have $5M to invest. Given the information below, what is your investment in the risk-free asset? Asset Stock A Stock B Stock C Risk-free Asset $0.8M $0.7M $0.9M $1.1M Investment $1M $2M Beta 0.7 1.25 1.5
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- You want to create a portfolio equally as risky as the market, and you have $1,200,000 to invest. Consider the following information: Asset Stock A Stock B Stock C Risk-free asset What is the investment in Stock C? Investment Investment $300,000 $ 240,000 Investment Beta 0.70 1.10 1.50 What is the investment in risk-free asset?Using the information provided in the pictures: Let’s assume, you want to construct a portfolio of risky and riskfreeassets. You wish to generate a 7% return for your complete portfolio E(rc). Using the Capital AllocationLine (CAL) equation - E(rc) = rf + y(E(Rp) - rf)a. Calculate the portion that you need to invest in risky assets and (b). in risk-free assets.c. Calculate the standard deviation of the portfolio.You want to create a portfolio equally as risky as the market, and you have $1,200,000 to invest. Consider the following information: Asset Investment Beta Stock A $300,000 0.70 Stock B $360,000 1.25 Stock C 1.55 Risk-free asset Required: (a) What is the investment in Stock C? (Do not round your intermediate calculations.) (b) What is the investment in risk-free asset? (Do not round your intermediate calculations.)
- Consider an economy with a (net) risk-free return r1 = 0:1 and a market portfolio with normally distributed return, with ErM = 0:2 and 2M = 0:02. Suppose investor A has CARA preferences, with risk aversion coe¢ cient equal to 1 and an endowment of 10. a) Write down the maximization problem for the investor. b) Determine the amount invested in the risky portfolio and in the risk-free asset. c) Suppose another investor (B) has a coe¢ cient of absolute risk aversion equal to 2 (and the same endowment 10). Compute his optimal portfolio and compare it to that of investor A. Explain the di§erent results for investors A and B. d) Finally, consider Investor C with mean-variance preferences Ec V ar(c) (and endowment 10). Compute his optimal portfolio and compare it to that of investors A and B (as obtained in questions b and c). Compare your result with those obtained for investors A and B.The risk-free rate is currently 3.3%, and the market return is 14.8%. Assume you are considering the following investments: Investment Beta A 1.54 B 1.16 C 0.51 D 0.11 E 2.14 . a. Which investment is most risky? Least risky? b. Use the capital asset pricing model (CAPM) to find the required return on each of the investments. c. Find the security market line (SML), using your findings in part b. d. On the basis of your findings in part c, what relationship exists between risk and return? Explain.1. calculate the beta of the portfolio below consisting of assets x, y and z. discuss the meaning of the number calculated and include in your answer what type of investor is likely to invest in this portfolio. Asset Weight (Wi) Beta (βi) X 0.30 0.09 Y 0.50 0.90 Z 0.20 0.16
- 1. Given the following summary statistics, Mean S.D. 1.235 0.997 Asset A 0.52 Asset B. 0.44 (a) If the correlation between the two financial series is 0.25. What are the optimal portfolio weights to minimize risk? (b) What are the expected return and standard deviation of the optimal port- folio? (c) Compute the 1% Value-at-Risk for the next 5 days (d) Compute the expected shortfallNow assume that your portfolio only includes a risky asset, Asset C and a risk-free asset, Asset D. If the expected return on Asset D is 18%, the expected return on your po is 12% and the percentage of your wealth allocated to Asset C is 30%, what is the risk-free rate?portfolio.. - Word **** References Mailings Review View Help RCM Acrobat Foxit Reader PDF Foxit PDF 5. The risk-free rate and the expected market rate of return are 0.04 and 0.14, respectively. According to the capital asset pricing model (CAPM), the expected rate of return on security X with a beta of 1.25 is equal to: a. 0.004 b. 0.165 C. 0.121 d. 0.132
- You invest $100 in a risky asset with an expected rate of return of 0.12 and a standard deviation of 0.15 and a T-bill with a rate of return of 0.05. What percentages of your money must be invested in the risky asset and the risk-free asset, respectively, to form a portfolio with an expected return of 0.09? Group of answer choices a. 85% and 15% b. 75% and 25% c. 67% and 33% d. 57% and 43%4. Suppose that there are 2 assets with ri 012 = 0.005. = 0.20, 01 = = 0.40, 2 = 0.10, 02 = 0.25 and (a) If ro = 0.02, what are the market portfolio return and variance? What are the corre- sponding weights (i.e. how much to invest in asset 1, asset 2, and the risk-free asset to get the market portfolio)? Answer. (b) If ro 0.05, what are the market portfolio return and variance? What are the corre- sponding weights? Answer.d) The return on the risk-free asset is 5%. You are given the following information: Security E(R) -% Firm A Firm B Firm C 10 14 16 Market portfolio 12 SD-% 31 ? 65 20 Correlation with Market portfolio ? .50 .35 1 Beta .85 1.40 ? 1 i) What is the correlation between security A and the market portfolio? ii) What is the standard deviation of security B? iii) What is the beta of security C? Give an interpretation of its value? iv) Is the stock of Firm A correctly priced according to the capital asset pricing model (CAPM)? What about the stock of Firm C? If these securities are not correctly priced, what is your investment recommendation for someone with a well-diversified portfolio?