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Which of the following statements about the security market line (SML) are true?

a. The SML provides a benchmark for evaluating expected investment performance.

b. The SML leads all investors to invest in the same portfolio of risky assets.

c. The SML is a graphic representation of the relationship between expected return and beta.

d. Properly valued assets plot exactly on the SML.

Short Answer

Expert verified

Statements a, c, and d are true.

Step by step solution

01

Definition

The representation of Capital Asset Pricing Model on graph is known as Security Market Line (SML). It displays the expected return of a security as a function of various risks.

02

Solution

From the above definition, since the SML gives a benchmark for evaluating expected returns of an investment and graphically displays the relationship between expected returns and β where the X axis is the systematic risks (measured in β) and Y axis is the expected returns, the correct statements from the options above would be a, c and d.

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Most popular questions from this chapter

Based on current dividend yields and expected capital gains, the expected rates of return on portfolios A and B are 11% and 14%, respectively. The beta of A is .8 while that of B is 1.5. The T-bill rate is currently 6%, while the expected rate of return of the S&P 500 Index is 12%. The standard deviation of portfolio A is 10% annually, while that of B is 31%, and that of the index is 20%.

a. If you currently hold a market-index portfolio, would you choose to add either of these portfolios to your holdings? Explain.

b. If instead you could invest only in bills and one of these portfolios, which would you choose?

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If markets are efficient, what should be the correlation coefficient between stock returns for two non-overlapping time periods?

Assume a market index represents the common factor and all stocks in the economy have a beta of 1. Firm-specific returns all have a standard deviation of 30%.

Suppose an analyst studies 20 stocks and finds that one-half have an alpha of 3%, and one-half have an alpha of - 3%. The analyst then buys \(1 million of an equally weighted portfolio of the positive-alpha stocks and sells short \)1 million of an equally weighted portfolio of the negative-alpha stocks.

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