An investor owns a portfolio of assets that willl generate a cash flow of $445 with prob. 0.25, $1,115 with prob. 0.45 and $3,010 with prob. 0.30. Assume the investor is risk averse and has an expected benefit function with bo)-s where x is dollar payoff. What fxed price Z would be the lowest acceptable price the investor would sell this portfolio for? O $1,289 O $1.304 O $1.351 O $1.391
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- APT An analyst has modeled the stock of Crisp Trucking using a two-factor APT model. The risk-free rate is 6%, the expected return on the first factor (r1) is 12%, and the expected return on the second factor (r2) is 8%. If bi1 = 0.7 and bi2 = 0.9, what is Crisp’s required return?An investor has an opportunity to invest in two risky assets and a risk-free asset. Theexpected return of the two risky assets are μ1 = 0.12, μ2 = 0.15. Their standarddeviations are σ1 = 0.05 and σ2 = 0.1, and the correlation coefficient between theirreturn is 0.2. The risk-free rate is 0.05. Suppose the investor has $1000 and he wantsto hold a portfolio with expected return of 0.1. If the investor is risk averse, how muchshould he invest in the two risky assets and the risk-free asset?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.
- Assume for parts (a) to (h) that the Capital Asset Pricing Model holds. The marketportfolio has an expected return of 5%. Stock A’s return has a market beta of 1.5, anexpected value of 7% and a standard deviation of 10%. Stock B’s return has amarket beta of 0.5 and a standard deviation of 20%. The correlation between stockA’s and stock B’s return is 0.5.Required:a) Explain the term ‘capital asset pricing model.’b) What is the risk-free rate?c) What is the expected return on stock B?d) Draw a graph with expected return on the y-axis and beta on the x-axis. Indicate the approximate position of the risk-free asset, the market portfolio and stocks A and B on this graph. Draw the line, which connects these four points.e) Explain the term ‘Securities Market Line’, and what is the slope of the SML for this economy?f) Consider a portfolio with a weight of 50% in stock A and 50% in stock B. What are its variance and expected return?g) Where would under-priced and over-priced securities plot on…The investor has R50,000 to invest A, B and C. R12,000 will be invested into asset A. The beta for asset A and asset B is 0.90 and 1.2 respectively. Asset C represents the risk-free asset. If the investor envisages a portfolio equally as risky as the market, how much should be invested into asset B?The investor has R50,000 to invest A, B and C. R12,000 will be invested into asset A. The beta for asset A and asset B is 0.90 and 1.2 respectively. Asset C represents the risk-free asset. If the investor envisages a portfolio equally as risky as the market, how much should be invested into asset B? Which answer is correct? A. 32677 B. 32676 C. 32667 D. 32678
- Using the following information determine the expected rate of return for a risky asset using CAPM, consider the following example stocks assuming that you have already computed their betas Stocks Beta A 0.70 B 1.00 C 1.15 D 1.40 E -0.30 Assume that you expect the economy RFR to be 6% (0.06) The expected return on the market portfolio (E(Rm)) to be 8% (0.08) A market risk premium of (0.04). Question: What would be the SML required rate of return for the following stocks. A, B,C,D and ESuppose you are given the following inputs for the Fama-Frech-3-Factor model. Required Return for Stock i: bi=0.8, kRF=8%, the market risk premium is 6%, ci=-0.6, the expected value for the size factor is 5%, di=-0.4, and the expected value for the book-to-market factor is 4%. Task: Estimate the required rate of return of this asset using the Capital asset pricing model and compare it with the Fama-French-3-factor model.Suppose that the S&P 500, with a beta of 1.0, has an expected return of 12% and T-bills provide a risk-free return of 4%. a. What would be the expected return and beta of portfolios constructed from these two assets with weights in the S&P 500 of (i) 0; (ii) 0.25; (iii) 0.50; (iv) 0.75; (v) 1.0? (Leave no cells blank - be certain to enter "0" wherever required. Do not round intermediate calculations. Enter the value of Expected return as a percentage rounded to 2 decimal places and value of Beta rounded to 2 decimal places.) b. How does expected return vary with beta? (Do not round intermediate calculations.)
- Suppose that the S&P 500, with a beta of 1.0, has an expected return of 12% and T-bills provide a risk-free return of 3% a. What would be the expected return and beta of portfolios constructed from these two assets with weights in the S&P 500 of Expected Return Beta (i) 0 (ii) 0.25 (iii) 0.50 (iv) 0.75 (v) 1.0 (Leave no cells blank - be certain to enter "0" wherever required. Do not round intermediate calculations. Enter the value of Expected return as a percentage rounded to 2 decimal places and value of Beta rounded to 2 decimal places.) b. How does expected return vary with beta? (Do not round intermediate calculations.) Fill in the bolded part The expected return (increases/decrease) by ( %) for a one unit increase in beta.Using the following information determine the expected rate of return for a risky asset using CAPM, consider the following example stocks assuming that you have already computed their betas Stocks Beta A 0.70 B 1.00 C 1.15 D 1.40 E -0.30 Also assume that you expect the economy RFR to be 6% (0.06) and the expected return on the market portfolio (E(Rm)) to be 8% (0.08) which implies a market risk premium of (0.04). What would be the SML required rate of return for the following stocks: A, B, C, D and E.Assume that the CAPM is true, ?F = 5%, ?M = 15% ??? ?M = 0.1. An investor with $10,000 to invest builds a portfolio, Q, of T-bills and the market portfolio. This means that a. it would be possible for the investor to obtain a return of 17% on portfolio Q. b. if portfolio Q were composed of short-selling $2,000 in T-bills and the remainder is the market portfolio, then ρQM = 1, βQ = 1.2 and σQ = 0.12. c. to obtain a return of 17% from portfolio Q the investor would need to invest $12,000 in the market portfolio. d. all of the above are true. e. only (a) and (b) above are true.