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?
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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?
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- An analyst has modeled the stock of Crisp Trucking using a two-factor APT model. The risk-free rate is 5%, the expected return on the first factor (r₁) is 14%, and the expected return on the second factor (r2) is 8%. If bil 0.5 and bi2 = 0.8, what is Crisp's required return? Do not round intermediate calculations. Round your answer to one decimal place. % =Assume that the risk-free rate, RF, is currently 9% and that the market return, rm, is currently 16%. a. Calculate the market risk premium. b. Given the previous data, calculate the required return on asset A having a beta of 0.4 and asset B having a beta of 1.8.An analyst has modeled the stock of Crisp Trucking using a two-factor APTmodel. The risk-free rate is 6%, the expected return on the first factor (r1) is12%, and the expected return on the second factor (r2) is 8%. If bi1 5= 0.7 andbi2 5= 0.9, what is Crisp’s required return?
- Suppose 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.Consider an asset with a beta of 1.2, a risk-free rate of 4.3%, and a market return of 12%. What is the reward-to-risk ratio in equilibrium? What is the expected return on the asset?Consider a single-index model economy. The index portfolio M has E(RM ) = 6%, σM = 18%.An individual asset i has an estimate of βi = 1.1 and σ2ei = 0.0225 using the single index modelRi = αi + βiRM + ei. The forecast of asset i’s return is E(ri) = 12%. rf = 4%. a) According to asset i’s return forecast, calculate αi. (b) Calculate the optimal weight of combining asset i and the index portfolio M . (c) Calculate the Sharpe ratio of the index portfolio M and the portfolio optimally combiningasset i and the index portfolio M .
- Use the basic equation for the CAPM to rework each of the following problems for above case. Case A) Find the required return for an asset with a beta of 0.9 when the risk-free rate and market return are 8% and 12% respectively. Case B) Find the risk-free rate for a firm with a required return of 15% and a beta of 1.25 when the market return is 14%. Case C) Find the market return for an asset with a required return of 16% and a beta of 1.1 when the risk-free rate is 9%. Case D) Find the beta for an asset with a required return of 15% when the risk-free rate and market return are 10% and 12.5% respectively.Suppose the risk-free rate is 5%. The expected return and standard deviation of a risky asset are 10% and 20%, respectively. a. What is the slope of the capital allocation line (CAL) constructed using the risk-free asset and the risky asset? A. 0.30 B. 0.15 C. 0.25 D. 0.20 b. If an investor has a risk aversion coefficient of A=2, what is the optimal fraction of the money that she invests in the risky asset? A. 62.5% B. 42.5% C. 30% D. 20% c. If an investor invest 25% of her money in the risky asset, which is the investor’s risk aversion coefficient? a. 5 b. 1 c. 3 d. 4We consider a one-step binomial tree in which the parameters are u = 1.2, d = 0.8, r = 0.12, T = 0.25, fu = 3, fa = 0. Evaluate the followings: (1) Calculate the probability p of an up movement in a risk-neutral world. (2) Compute the current price f.
- An analyst has modeled the stock of Brown Kitchen Supplies usinga two-factor APT model. The risk-free rate is 5%, the requiredreturn on the first factor (r1) is 10%, and the required return on thesecond factor (r2) is 15%. If bi1 5 0.5 and bi2 5 1.3, what is Brown’srequired return? (20.5%)Assume that the expected rates of return and the beta coefficients of the alternatives supplied by an independent analyst are as follows: Security Estimated rate of returns Beta Nescom 5% 1.5 Market 4 1 Pk_Steel 3.5 0.75 T_Bills 3 0 Nawab 1 -0.6 What is a beta coefficient, and how are betas used in risk analysis? Do the expected returns appear to be related to each alternative’s market risk? Is it possible to choose among the alternatives on the basis of the information developed thus far?The market has three risky assets. The variance-covariance matrix of the risky assets are as follows: r1 r2 r3 r1 0.25 0 -0.2 r2 0 4 0.1 r3 -0.2 0.1 1 Assume the market portfolio is M = 0.2 ◦ r1 + 0.5 ◦ r2 + 0.3 ◦ r3. Further assume E(rM) = 0.08. (1) What is the variance of M?(2) What is the covariance of r2 and M?(3) What is β2?(4) If the rate of return of the risk-free asset is 0.02. Then what is the fair expected rate of return of security 2?(5) An investor wants to invest in a portfolio P = 0.4◦r1+0.6◦r3. What is its “fair” expected rate of return?