Financial Management: Theory & Practice
16th Edition
ISBN: 9781337909730
Author: Brigham
Publisher: Cengage
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Chapter 26, Problem 7P
Summary Introduction
To calculate: The value of option using Black Scholes model.
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Question 5. You can invest in two risky assets, rị and r, and one risk-free asset, rf . The two
risky assets are uncorrelated, and values are E[r] = 8%, E[r2] = 6%, Var[r] = 10%,Var[r2] = 3%,
and rf = 3%
If you have a mean-variance optimizer with a risk aversion A = 2, what is the optimal portfolio?
Assume you are risk-averse and have the following three choices.
Standard
Deviation
Project
A
B
C
Expected
Value
$ 2,520
2,930
2,480
$ 1,420
1,050
1,040
a. Compute the coefficient of variation for each.
Note: Round your answers to 3 decimal places.
Project
A
B
C
Coefficient of
Variation
b. Which project will you select?
O Project C
O Project A
O Project B
A project has an assigned beta of 1.24, the
risk-free rate is 3.8%, and the market rate of
return is 9.2%. What is the project's
expected rate of return?
A. 15.21%
B. 11.41%
C. 10.50%
D. 14.61%
Chapter 26 Solutions
Financial Management: Theory & Practice
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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?arrow_forward2. There are two projects, X and Y. the following probability distribution for the projects are given below PROJECT X PROJECT Y Return Prob. Return Prob. Pessimistic 8% 0.25 7% 0.35 Most Likely 16 0.50 13 0.45 Optimistic 21 0.25 22 0.20 Which project should you take based on Risk and Return?why?arrow_forward5. There are three risky assets with rates of return r₁, 12, and r3, respectively. The covariance matrix and the expected rates of return are [0.4 0.2 0 = Σ 0.2 0.4 0.2 0 0.2 0.4 [0.04] 0.08 0.06 (a) Find the global minimum-variance portfolio. (b) For the required return z = 0.075, find (the weight of) the optimal portfolio with risky assets. For (c) and (d) only, assume there is an additional risk-free asset with return Tf 0.03. = (c) Find the tangent portfolio.arrow_forward
- Analyze investment M and investment J using the below. Scenario Probability M Return J Return Strong .30 18% 20% Normal .30 15% 12% Weak .40 9% 5% 1. What is the range for M? 2. What is the average exp. return for M ? 3. What is the standard deviation* M? 3.85 (given) 4. What is the CV for M? 5. What is the range for J? 6. What is the average exp. return for J? 7. What is the standard deviation J? 6.22 (given) 8. What is the CV for J? 9. Which is the better choice?arrow_forwardSuppose that you found the probabilities and expected NPVs of 3 scenarios for a timing option: E(NPV) probability $0.15 0.30 $10.35 0.50 $42 0.20 1. What is the expected NPV of the timing option? Show your work. 2. Suppose, that the expected NPV of the project if proceeding today is $14. Should the project be delayed based on your finding in part 1 or should the management implement it today? Briefly explain.arrow_forwardPlease answer all questionsarrow_forward
- Given an optimal risky portfolio with expected return of 20%, standard deviation of 24%, and a risk free rate of 7%, what is the slope of the best feasible CAL? A. 0.64 B. 0.14 C. 0.33 D. 0.62 E. 0.54arrow_forwardUse the required return-beta equation from the CAPM What is the required return if the risk-free rate is 4%, beta 1.5 and the expected market return 8%? What is the risk-free rate if beta is 1.1, the required return 8.4% and the expected market return 8%? What is beta if the risk-free rate is 4%, the required return 12% and the expected market return 8%? What is the expected market return if the risk-free rate is 4%, beta 1.5 and the required return 12%?arrow_forward10) Given an optimal risky portfolio with expected return of 15%, standard deviation of 26%, and a risk free rate of 5%, what is the slope of the best feasible CAL? A) 0.64 B) 0.27 C) 0.08 D) 0.38 E) 0.36 Provide explanation for the correct answer.arrow_forward
- - Exercise 2 An investor who maximizes a linear mean-variance utility, U(µp, σp) μpaσ, optimally invests half of her wealth in asset 1, having expected re- turn μ₁ = 10% and standard deviation σ1 10%, and half of her wealth in a risk-free asset, having return FR = 4%. = (a) Find the efficient frontier and represent it in the plane (σp, μP) (assuming that the investor feasible portfolios can include a short position in the risk- free asset). (b) Find the risk-aversion parameter a of the investor. (c) Using the same efficient frontier, for which levels of risk-aversion parameter the investor has a negative position in the risk-free asset? =arrow_forwardIf the simple CAPM is valid, which of the following situations are possible? Explain. Consider each situation independently. Expected Return Beta A 20% 1.4 B 25% 1.2arrow_forwardA project under consideration has an internal rate of return of 14% and a beta of 0.6. The risk-free rate is 99%, and the expected rate of return on the market portfolio is 14%. a-1. Calculate the required return. Required return 96arrow_forward
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