HomeworkClass3

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School

Boston College *

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Course

2260

Subject

Finance

Date

Apr 3, 2024

Type

pdf

Pages

3

Uploaded by KidThunderSeaUrchin19

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1. Essay Questions: a. Explain the significance of investors being considered as "Apostles of Markowitz" and their implications in portfolio theory. b. What do we mean when we say "Homogeneous Expectations" in finance? Why is this assumption crucial in the derivation of many financial models? c. Describe the difference between systematic and unsystematic risk. Why does CAPM only consider one of these? d. Compare and contrast Merton’s Multifactor CAPM with the traditional CAPM. What additional insights or advantages does Merton's model offer? e. Briefly differentiate between policy, dynamic, and tactical asset allocations. Provide a real-world example of each. 2. Quantitative Exercises: a. Deriving the Capital Markets Line: Given: Risk-free rate (Rf): 3% Market portfolio expected return (E[Rm]): 9% Market portfolio standard deviation (sigma_m): 15% Plot the Capital Market Line and calculate its slope. b. Market Model:
For a particular stock, the returns are modeled as: R = alpha + beta * Rm Given: Alpha (alpha): 2% Beta (beta): 1.2 Market return (Rm): 8% Calculate the expected return of the stock. c. Estimating Beta: Using the information below, calculate the beta for the stock: Covariance between the Stock and the Market: 0.032 Variance of the Market: 0.025 d. Security Market Line: Using the CAPM formula: E[Ri] = Rf + beta * (Rm - Rf) Given: Risk-free rate (Rf): 3% Market return (Rm): 8% Beta: 1.2 Calculate the expected return on the asset.
3. Conceptual Exercises: a. After plotting the Security Market Line using the CAPM formula, how would the SML shift if the risk- free rate increased? b. Discuss the main difference between the traditional CAPM and Black’s zero-beta version. c. Compare and contrast the assumptions of CAPM and the Arbitrage Pricing Theory (APT). In what scenarios might one be more appropriate than the other? 4. Reflection: a. Why do you think it's important to test the validity of the CAPM in real-world financial scenarios?
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