a)
To discuss: Whether the statement is inconsistent with an
Introduction:
Capital asset pricing model (CAPM) describes the relationship between the projected return for assets and systematic risk on the stocks. It is utilized to compute the required
b)
To discuss: Whether the statement is inconsistent with an efficient capital market, the capital asset pricing model (CAPM), or both.
Introduction:
Beta is an important indicator of the risk of a security. It measures the systematic risk of a risky investment by comparing the risky investment with the average risky asset in the market.
c)
To discuss: Whether the statement is inconsistent with an efficient capital market, the capital asset pricing model (CAPM), or both.
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- Assume that the risk-free rate remains constant, but the market risk premium declines. Which of the following is most likely to occur? a. The required return on a stock with beta = 1.0 will not change. b. The required return on a stock with beta > 1.0 will increase. c. The return on "the market" will increase. d. The return on "the market" will remain constant. e. The required return on a stock with a positive beta < 1.0 will decline.arrow_forwardWhich of the following statements is CORRECT? (Assume that the risk-free rate is a constant.) a. The effect of a change in the market risk premium depends on the slope of the yield curve. b. If the market risk premium increases by 1%, then the required return on all stocks will rise by 1%. c. If the market risk premium increases by 1%, then the required return will increase by 1% for a stock that has a beta of 1.0. d. The effect of a change in the market risk premium depends on the level of the risk-free rate. e. If the market risk premium increases by 1%, then the required return will increase for stocks that have a beta greater than 1.0, but it will decrease for stocks that have a beta less than 1.0.arrow_forwardSuppose that Federal Reserve actions have caused an increase in the risk-free rate, rRF. Meanwhile, investors are afraid of a recession, so the market risk premium, (rM − rRF), has increased. Under these conditions, with other things held constant, which of the following statements is most correct? a. The required return on all stocks would increase, but the increase would be greatest for stocks with betas of less than 1.0. b. Stocks' required returns would change, but so would expected returns, and the result would be no change in stocks' prices. c. The prices of all stocks would decline, but the decline would be greatest for high-beta stocks. d. The prices of all stocks would increase, but the increase would be greatest for high-beta stocks. e. The required return on all stocks would increase by the same amount.arrow_forward
- Suppose that during the coming year, the risk free rate, rRF, is expected to remain the same, while the market risk premium (rM − rRF), is expected to fall. Given this forecast, which of the following statements is CORRECT? a. The required return on all stocks will remain unchanged. b. The required return will fall for all stocks, but it will fall more for stocks with higher betas. c. The required return for all stocks will fall by the same amount. d. The required return will fall for all stocks, but it will fall less for stocks with higher betas. e. The required return will increase for stocks with a beta less than 1.0 and will decrease for stocks with a beta greater than 1.0.arrow_forwardConsider an economy with just two assets. The details of these are given below. Number of Shares Price Expected Return Standard Deviation A 100 1.5 15 15 B 150 2 12 9 The correlation coefficient between the returns on the two assets is 1=3 and there is also a risk-free asset. Assume the CAPM model is satisfied. (1) What is the expected rate of return on the market portfolio? (2) What is the standard deviation of the market portfolio? (3) What is the beta of stock A? (4) What is the risk-free rate of return?arrow_forwardSuppose that Federal Reserve actions have caused an increase in the risk-free rate, rRF. Meanwhile, investors are afraid of a recession, so the market risk premium, (rM - rRF), has increased. Under these conditions, with other things held constant, which of the following statements is most correct and why? A. The required return on all stocks would increase, but the increase would be greatest for stocks with betas of less than 1.0. B. The prices of all stocks would decline, but the decline would be greatest for the highest-beta stocks. C. The prices of all stocks would increase, but the increase would be greatest for the highest-beta stocks. D. The required return on all stocks would increase by the same amount.arrow_forward
- Are the following true or false? Explain. Stocks with a beta of zero offer an expected rate of return of zero. The CAPM implies that investors require a higher return to hold highly volatile securities. You can construct a portfolio with beta of .75 by investing .75 of the investment budget in T-bills and the remainder in the market portfolio.arrow_forwardStock HB has a beta of 1.5 and Stock LB has a beta of 0.5. The market is in equilibrium, with required returns equaling expected returns. Which of the following statements is CORRECT? a. If expected inflation remains constant but the market risk premium (rM – rRF) declines, the required return of Stock LB will decline but the required return of Stock HB will increase. b. If both expected inflation and the market risk premium (rM – rRF) increase, the required returns of both stocks will increase by the same amount. c. Since the market is in equilibrium, the required returns of the two stocks should be the same. d. If expected inflation remains constant but the market risk premium (rM – rRF) declines, the required return of Stock HB will decline but the required return of Stock LB will increase. e. If both expected inflation and the market risk premium (rM – rRF) increase, the required return on Stock HB will increase by…arrow_forwarda) Suppose the risk-free rate is 5% and the expected rate of return on the market portfolio is 10%. In your view, the expected rate of return of a security is 12.2%. Given that this security has a beta of 1.4, do you consider it to be overpriced, under-priced or fairly priced according to the Capital Asset Pricing Model? Please provide the details of your calculations and discuss your results b)Stock 1 has a standard deviation of return of 6%. Stock 2 has a standard deviation of return of 2%. The correlation coefficient between the two stocks is 0.5. If you invest 60% of your funds in stock 1 and 40% in stock 2, what is the standard deviation of your portfolio? Please provide the details of your calculations and discuss your results. You decide now to combine your portfolio (discussed in question b) with another portfolio with the same standard deviation and invest equally in both portfolios. The correlation between the two portfolios is zero. d) What is the standard deviation of…arrow_forward
- Assume that using the Security Market Line (SML) the required rate of return (RA) on stock A is foundto be half of the required return (RB) on stock B. The risk-free rate (Rf) is one-fourth of the requiredreturn on A. Return on market portfolio is denoted by RM. Find the ratio of beta of A (A) to beta of B(B). d) Assume that the short-term risk-free rate is 3%, the market index S&P500 is expected to payreturns of 15% with the standard deviation equal to 20%. Asset A pays on average 5%, has standarddeviation equal to 20% and is NOT correlated with the S&P500. Asset B pays on average 8%, also hasstandard deviation equal to 20% and has correlation of 0.5 with the S&P500. Determine whetherasset A and B are overvalued or undervalued, and explain why. (Hint: Beta of asset i (??) =???????, where ??,?? are standard deviations of asset i and marketportfolio, ??? is the correlation between asset i and the market portfolio)Question 2. Foreign exchange marketsStatoil, the national…arrow_forwardWe know the following expected returns for stock A and the market portfolio, given different states of the economy: State (s) Probability E(rA,s) E(rM,s) Recession 0.3 -0.05 0.02 Normal 0.5 0.1 0.05 Expansion 0.2 0.18 0.09 The risk-free rate is 0.02. Assuming the CAPM holds (expected and required returns are the same) , what is the beta for stock A?arrow_forwardAssume that using the Security Market Line (SML) the required rate of return (RA) on stock A is found to be half of the required return (RB) on stock B. The risk-free rate (Rf) is one-fourth of the required return on A. Return on market portfolio is denoted by RM. Find the ratio of beta of A (bA) to beta of B (bB). please show all workings and not merely : Ra = 1/2 rbRf = 1/4 Raarrow_forward
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