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a
0.07248
b
0.00386
c
0.26921
d
0.00939
e
0.05175
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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 analyst has modeled the stock of a company using the Fama-French three-factor model. The market return is 10%, the return on the SMB portfolio (rSMB) is 3.2%, and the return on the HML portfolio (rHML) is 4.8%. If ai = 0, bi = 1.2, ci = 20.4, and di = 1.3, what is the stock’s predicted return?Suppose that the index model for stocks A and B is estimated from excess returns with the following results:RA = 3% + .7RM + eARB = −2% + 1.2RM + eBσM = 20%; R-squareA = .20; R-squareB = .12Break down the variance of each stock into its systematic and firm-specific components.
- Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA= 4.0% + 0.50RM + eA RB= -1.2% + 0.7RM + eB sigmaM= 17% ; R-squareA = 0.26 ; R-squareB= 0.18 Break down the variance of each stock to the systematic and firm-specific components (write in decimal form, rounded to 4 decimal places). Risk for A Risk for B Systematic Firm-specificA single stock, A has a variance of 0.006 and a covariance with the market portfolio given by 0.013. The market portfolio has an expected return of 10.50%, a market risk premium 4.30% and a variance of 0.013. What is the stock's fair expected return under the CAPM?Suppose the index model for stocks A and B is estimated with the following results:rA = 2% + 0.8RM + eA, rB = 2% + 1.2RM + eB , σM = 20%, and RM = rM − rf . The regressionR2 of stocks A and B is 0.40 and 0.30, respectively.(a) What is the variance of each stock? (b) What is the firm-specific risk of each stock? (c) What is the covariance between the two stocks?
- Suppose the index model for stocks A and B is estimated with the following results: rA = 2% + 0.8RM + eA, rB = 2% + 1.2RM + eB, σM = 20%, and RM = rM − rf . The regression R2 of stocks A and B is 0.40 and 0.30, respectively. Answer the following questions. Total: (a) What is the variance of each stock? (b) What is the firm-specific risk of each stock? (c) What is the covariance between the two stocks?Your rate of retum expectations for the common stock of Company during the next year are: Possible Rate of Return Probability- 0.10 0.250.00 0.150.10 0.350.25 0.25 Required: Compute the expected return [E(R)] on this investment, the variance of this returm, and its standard deviationStock W has the following returns for various states of the economy: State of the Economy Probability Stock W's Return Recession 0.15 -10% Below Average 0.20 5% Average 0.30 8% Above Average 0.25 12% Boom 0.10 18% Stock W's standard coefficient of variance (CV) is Stock W’s Sharpe ratio assuming the risk-free is 1.25%
- Compute the weights in a portfolio consisting of two kinds of stock if the expected return on the portfolio is to be E(KV ) = 20%, given the following information on the returns on stock 1 and 2: Scenario ω1 (recession) Probability Return K1 Return K2 0.1 ω2 (stagnation) 0.5 ω3 (boom) 0.4 −10% 0% 20% 10% 20% 30% To compute the variance of KV we need to know not only the variances of the returns K1 and K2 on the components in the portfolio, but also the covariance between the two returns.XYZ stock's returns will have the following probability distribution during the possible states of the economy.a. Calculate the expected return on XYZ stock.b. Calculate the standard devivation of XYZ stock returns.c. Calculate the coefficient of variation of XYZ stock.State of Economy Probability Return Boom 15% 22.75% Normal 70% 12.60% Recession 15% -15.20% Expected Return: % Standard Deviation: Coefficient of Variation: