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If the simple CAPM is valid, which of the situations in Problems 13 – 19 below are possible? Explain. Consider each situation independently.

Short Answer

Expert verified

The correct answer would be “Not Possible”

Step by step solution

01

Given Information

Given these data, the SML is: E(r) = 10% + β(18% – 10%)

02

Solution

A portfolio with beta of 1.5 should have an expected return of:

E(r) = 10% + 1.5 x (18% – 10%) = 22%

The expected return for Portfolio A is 16% so the Portfolio A plots below the SML

(i.e., has an alpha of –6%), and hence is an overpriced portfolio.

This is inconsistent with the CAPM hence “Not Possible’.

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Most popular questions from this chapter

If the simple CAPM is valid, which of the situations in Problems 13 – 19 below are possible? Explain. Consider each situation independently.

Jeffrey Bruner, CFA, uses the capital asset pricing model (CAPM) to help identify mispriced securities. A consultant suggests Bruner use arbitrage pricing theory (APT) instead. In comparing CAPM and APT, the consultant made the following arguments:

a. Both the CAPM and APT require a mean-variance efficient market portfolio.

b. The CAPM assumes that one specific factor explains security returns but APT does not.

State whether each of the consultant’s arguments is correct or incorrect. Indicate, for each incorrect argument, why the argument is incorrect

According to the efficient market hypothesis:

a. High-beta stocks are consistently overpriced.

b. Low-beta stocks are consistently overpriced.

c. Positive alphas on stocks will quickly disappear.

d. Negative-alpha stocks consistently yield low returns for arbitrageurs

Suppose there are two independent economic factors, M 1 and M 2 . The risk-free rate is 7%, and all stocks have independent firm-specific components with a standard deviation of 50%. Portfolios A and B are both well diversified.

What is the expected return–beta relationship in this economy?

Use the following data in answering CFA Questions:

Investor “satisfaction” with portfolio increases with expected return and decreases with variance according to the “utility” formula: U = E(r) - ½ Aσ2where A = 4.

Question: Based on the formula above, which investment would you select if you were risk neutral?

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