Concept explainers
a.
To determine: Whether the market portfolio is still efficient.
Introduction: CAPM is abbreviated as
b.
To determine: The stocks with buying opportunities and the stocks with selling opportunities.
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- Is it possible to construct a portfolio of real-world stocks that has a required return equalto the risk-free rate? Explain.arrow_forward1. What are the recommended options strategies when you expect the market has extreme (high) volatility?arrow_forward6. Equilibrium pricing: Let the subscripts: j = 0 denote the risk-free asset, j = 1,...,n the set of available risky securities, and M the market portfolio. For the questions that follow, assume that CAPM provides an accurate description of reality. a. b. C. d. State the CAPM equation. (1) Use the CAPM equation to show that the following condition is true s; ≤ SM for any j. What is the significance of this condition when interpreted in the context of the capital market line? (5) Assume that B = 0.8, μM = 0.1 and r = 0.05. Using the CAPM, determine the expected return from holding one unit of asset j for one period. (2) Given your answer to c.), what could you conclude (from the perspective of the security market line) if a market survey indicated that the forecasted one- period return on asset j was 8 percent? Describe and motivate the rational trading response that is consistent with your conclusion. (4)arrow_forward
- Suppose the solid line represents the capital market line that results from a CAPM equilibrium and the dotted curves represent indifference curves for a given individual. Which of the following is correct if point M corresponds to the market portfolio? Group of answer choices The individual optimally holds only the market portfolio, M. The individual optimally holds portfolio B which can be partially characterized by a long position in the riskless asset. The individual optimally holds portfolio B which can be partially characterized by a short position in the riskless security The individual optimally holds portfolio A which can be partially characterized by a long position in the riskless security. None of the above.arrow_forwardWhich of the following statements about the Security Market Line are correct? I. The intercept point is the market rate of return. II. The slope of the line is beta. III. An investor should accept any return located above the SML line. IV. A beta of 0.0 indicates the risk-free rate of returnarrow_forwardtrue or falsearrow_forward
- A zero-investment portfolio with a positive alpha could arise if:a. The expected return of the portfolio equals zero.b. The capital market line is tangent to the opportunity set.c. The Law of One Price remains unviolated.d. A risk-free arbitrage opportunity exists.arrow_forwardWe showed in the text that the value of a call option increases with the volatility of the stock. Is this also true of put option values? Use the put-call parity theorem as well as a numerical example to prove your answer.arrow_forwardSuppose that stocks are exposed to systematic risks only so that stock i has the following return structure: Ri,t = mį + Si,t where mi is the average return, and si,t is the systematic risk. When we construct a portfolio including more and more stocks, which of the following would happen? The portfolio volatility gradually decreases and eventually converges to a certain positive value. ● The portfolio volatility gradually decreases and eventually converges to zero. The portfolio volatility stays unchanged.arrow_forward
- Suppose stocks X and Y have equal current prices but different volatilities of returns, ax < øy; what would be more expensive: a call option on X or Y? Please discuss.arrow_forwardD4)arrow_forwardAssume a utility function of ? = ?[?] − 1 ?? 2. Which statement(s) is/are correct about investors with this utility function? [I] An investor with a higher degree of risk aversion chooses the optimal portfolio with a higher risk premium [II] An investor with a higher degree of risk aversion chooses the optimal portfolio with lower risk [III] An investor with a higher degree of risk aversion chooses the optimal portfolio with a higher sharpe ratio [IV] The extent to which the investor dislikes risk is captured by ? 2 A. [II] only B. [I], [II] only C. [III] , [IV] only D. [II], [IV] only E. [I], [II], [III] onlyarrow_forward
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