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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Check out a sample textbook solutionStudents have asked these similar questions
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%
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?
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_forwardConsider two project alternatives, project I and project II, with their payoffs and their associated probabilities outlined in the following table: Project I Project II Payoff 10 15 20 Probability 0.1 0.8 0.1 Payoff 1. Compute RRI for each project; 2. Would you select project I or project II? Why. 5 10 14 Probability 0.2 0.3 0.5arrow_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
- 2. 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_forwardAnalyze 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_forwardSupposing the return from an investment has the following probability distribution Return Probability R (%) 8 0.2 10 0.2 12 0.5 14 0.1 Required: What is the expected return of the investment? What is the risk as measured by the standard deviation of expected returns?arrow_forward
- Security A has the following probability distribution of returns:Scenario Probability Return 1 0.1 15% 2 0.8 25% 3 0.1 35%What is the variance for Security A?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_forwardAlternatives X and Y have rates of return of 10% and 18%, respectively. What is known about the rate of return on the increment between X and Y if the investment required in Y is (a) larger than that required for X, and (b) smaller than that required for X? (c) Develop two spreadsheet examples that illustrate your responses to parts (a) and (b).arrow_forward
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