(Same setup as previous question.) The cc risk free rate r = -0.15% (yes, r < 0). The spot price for TFS is So = 42.50, the cc dividend rate is 8%, and the annual volatility o = 30%. Using our standard model for a 2 step tree, what is the replicating portfolio at the node t = 3 months, S = u * So = 48.38206 for a 45 strike call option expiring in 6 months? A = B =

(Same setup as previous question.) The cc risk free rate r = -0.15% (yes, r < 0). The spot price for TFS is So = 42.50, the cc dividend rate is 8%, and the annual volatility o = 30%. Using our standard model for a 2 step tree, what is the replicating portfolio at the node t = 3 months, S = u * So = 48.38206 for a 45 strike call option expiring in 6 months? A = B =

Intermediate Financial Management (MindTap Course List)

13th Edition

ISBN:9781337395083

Author:Eugene F. Brigham, Phillip R. Daves

Publisher:Eugene F. Brigham, Phillip R. Daves

Chapter3: Risk And Return: Part Ii

Section: Chapter Questions

Problem 2P: APT An analyst has modeled the stock of Crisp Trucking using a two-factor APT model. The risk-free...

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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 .
Using the table below, calculate the Sharpe ratio of a portfolio with 80% allocated to security A and 20% allocated to security C. Assume a 3% risk-free rate. Hint: your text also calls the Sharpe ratio the reward-to- variability ratio. Time A, % В, % C, % D, % Mkt, % 1 18.56 18.23 12.82 12.43 14.48 15.27 18.24 -5.82 13.45 5.99 14.12 14.71 12.58 4.32 12.41 4. -1.57 -6.56 -7.43 -8.54 4.48 13.16 9.12 12.45 12.21 13.41 21.22 6.34 17.54 12.12 18.76 7 -3.45 -6.12 -4.62 -8.85 12.12 O 0.79 O 0.53 0.74 0.68 5. 6.
Assume the APT equation for portfolios A and B with the following system of equations: E[rA] = λ0 + (λ1)3 + (λ2)0.2 = 11.0 E[rB] = λ0 + (λ1)2 + (λ2)1 = 13.0 Assume the following: . The risk free rate is λ0 = Rf = 5 . The expected return on the market portfolio is RM = 10 . Expected returns are consistent with the CAPM. . (hint: note that λ1 = E[RA] − Rf and λ2 = E[RB] − Rf ). Answer the following: (a) What are λ1 and λ2? (b) What is the CAPM β associated with the pure portfolio associated with factor 1? (c) What is the CAPM β associated with the pure portfolio associated with factor 2?
Suppose the market premium is 12%, market volatility is 20% and the risk-free rate is 6%. Suppose a security has a beta of 0.8. Using the CAPM, what is its expected return? (Round off the final answer to one decimal place. Example of writing your answer 2.5%)
Assume that the risk-free rate, RF, is currently 8%, the market return, RM, is 12%, and asset A has a beta, of 1.10. (could be done on word document or excel). Draw the security market line (SML) Use the CAPM to calculate the required return, on asset A. Assume that as a result of recent events, investors have become more risk averse, causing the market return to rise by 2%, to be14%. Ignoring the shift in part c, draw the new SML on the same set of axes that you used before, and calculate and show the new required return for asset A.
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?
Suppose the CAPM is true. Consider two assets, X and Y, and the market M. Suppose cov(X,M) = .3, cov(Y,M) = .5. %3D (a) Is the expected return higher on X or Y? (b) Suppose var(M) = 1.5, what are the betas of X and Y? (c) Suppose the expected market return is 20% and the risk free rate is 5%, what is the expected returns of X and Y?. (d) Given your analysis in (a)-(c), what type of investor would prefer asset X to asset Y?
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 shortfall
Use the following information: E[rXOM] = 15.6%, standard deviationyOM = 15.9% %3D E[IMSI=29.7%, standard deviationMS = 35.2% Correlation of returns: PXOM.MS = 0.139, r=10% If the optimal amount to invest in the first asset (w) is 0.43, what is the variance of the risky portfolio when w=0.43? (write in decimal format using 5 decimal places)
The risk-free rate is 2%, the market risk premium is 8.00%, and portfolio A has a beta of 2. What is the required rate of return on this portfolio?
The risk free rate is 3%. The optimal risky portfolio has an expected return of 9% and standarddeviation of 20%. Answer the following questions.a) Assume the utility function of an investor is U = E(r) − 0.5Aσ2. What is condition ofA to make the investors prefer the optimal risky portfolio than the risk free asset? b) Assume the utility function of an investor is U = E(r) − 2.5σ2. What is the expectedreturn and standard deviation of the investor’s optimal complete portfolio?
Consider a one-period model with N = {1,2,3} and two risky assets S1, S2 whose with current prices are 71 = 42 and 12 = 23 respectively. At time one, the price of S1 is believed to be either 44, 43, or 40 while the price of S2 is believed to be either 27, 22, or 20. Suppose that the risk-free interest rate is 3%. What is the unique risk-neutral probability measure Q in this situation? Select one: О а. Q(1) — 0.35, Q(2) — 0.27, Q(3) — 0.38 O b. Q(1) = 0.63, Q(2) = 0.34, Q(3) = 0.03 Ос. Q(1) — 0.25, Q(2) — 0.62, Q(3) — 0.13 O d. Q(1) = 0.35, Q(2) = 0.62, Q(3) = 0.03