Assume that the financial markets are in equilibrium. Information on three particular shares is provided in the table below Find the risk free rate and the expected return on the market portfolio. Asset A B C A. 6%, 18% B. 6%, 14% C. 5%, 18% D. 7%, 16% OE. 5%, 14% Expected Return 7.6% 12.4% 15.6% Beta 0.2 0.8 1.2
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- Suppose that the market can be described by the following three sources of systematic risk with associated risk premiums. Factor Risk Premium Industrial production (I) 8 % Interest rates (R) 4 % Consumer confidence (C) 6 % The return on a particular stock is generated according to the following equation: r = 16% + 1.6I + 0.8R + 1.30C + e a-1. Find the equilibrium rate of return on this stock using the APT. The T-bill rate is 4%. (Do not round intermediate calculations. Round your answer to 1 decimal place.) a-2. Is the stock over- or underpriced?Suppose that the market can be described by the following three sources of systematic risk with associated risk premiums. Risk Premium Factor Industrial production (I) Interest rates (R) Consumer confidence (C) Required: 8% 4 7 The return on a particular stock is generated according to the following equation: r = 17% +0.9/+0.5R+0.70 C+ e a-1. Find the equilibrium rate of return on this stock using the APT. The T-bill rate is 3%. Note: Do not round intermediate calculations. Round your answer to 1 decimal place. a-2. Is the stock over- or underpriced? a-1. Equilibrium rate of return a-2 Is the stock over- or underpriced? %Consider the following simplified APT model: Factor Expected Risk Premium Market 6.4% Interest Rate -0.6% Yield Spread 5.1% Factor Risk Exposures Market Interest Rate Yield Spread Stock Stock (b1) (b2) (b3) P 1.0 -2.0 -0.2 P2 1.2 0 0.3 P3 0.3 0.5 1.0 a) Calculate the expected return for the above stocks. Assume risk free rate is 5%. Consider a portfolio with equal…
- Consider the following simplified APT model: Factor Expected Risk Premium Market 6.4% Interest Rate -0.6% Yield Spread 5.1% Factor Risk Exposures Market Interest Rate Yield Spread Stock Stock(b1) (b2) (b3) P 1.0 -2.0 -0.2 P2 1.2 0 0.3 P3 0.3 0.5 1.0 Required: 1. Calculate the expected return for the above stocks. Assume risk free rate is 5%. Consider a portfolio with equal investments in stocks P, P2 and P3 2.What are the factor risk exposures for the portfolio? 3.What is the portfolio’s expected return?Suppose that the market can be described by the following three sources of systematic risk with associated risk premiums. Factor Risk Premium Industrial production (I) 6 % Interest rates (R) 2 Consumer confidence (C) 4 The return on a particular stock is generated according to the following equation: r = 15% + 1.0I + 0.5R + 0.75C + ea-1. Find the equilibrium rate of return on this stock using the APT. The T-bill rate is 6%. (Do not round intermediate calculations. Round your answer to 1 decimal place.)Consider the following simplified APT model: Factor Market Expected Risk Premium (%) Interest rate Yield spread 6.2 -0.8 4.8 Factor Risk Exposures Market ( Interest Rate ( Yield Spread ( Stock b₁ ) P 1.0 p2 1.0 p3 0.3 b2 ) -1.4 0 2.1 b3 ) -0.6 0.1 0.6 = : 3.8%. Calculate the expected return for each of the stocks shown in the table above. Assume rf Note: Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. Expected return P 7.80% Expected return P2 10.38% Expected return P3 %
- 1. Risk free rate represents: a. The market rate of return b. The rate provided by long term government securities c. Beta d. The rate provided by short term government securities 2. The market risk premium is measured by: a. T-bill rate. b. market return less risk-free rate. c. beta. d. standard deviation. 3. A stock with a beta of one would be expected to have a rate of return equal to a. the market risk premium b. the risk-free rate c. the market rate of return d. zeroAssume that the risk-free and rate is 5.50% and the market risk premium is 7.75%. What is the expected return for the overall stock market (rm)?a. Based on the following information, calculate the expected return and standard deviation for each of the following stocks. What are the covariance and correlation between the returns of the two stocks? Calculate the portfolio return and portfolio standard deviation if you invest equally in each asset. Returns State of Economy Prob K Recession 0.25 -0.02 0.034 Normal 0.6 0.138 0.062 Boom 0.15 0.218 0.092 b. A portfolio that combines the risk-free asset and the market portfolio has an expected return of 7 percent and a standard deviation of 10 percent. The risk-free rate is 4 percent, and the expected return on the market portfolio is 12 percent. Assume the capital asset pricing model holds. What expected rate of return would a security earn if it had a .45 correlation with the market portfolio and a standard deviation of 55 percent? c. Suppose the risk-free rate is 4.2 percent and the market portfolio has an expected return of 10.9 percent. The market portfolio has a variance of…
- 13. Changes to the security market line The following graph plots the current security market line (SML) and indicates the return that investors require from holding stock from Happy Corp. (HC). Based on the graph, complete the table that follows. REQUIRED RATE OF RETURN (Percent) REQUIRED RATE OF RETURN (Percent) 20.0 16.0 20 12.0 16 8.0 12 4.0 0 0 CAPM Elements Risk-free rate (TRF) Market risk premium (RPM) Happy Corp. stock's betal Required rate of return on Happy Corp. stock 0 Happy Corp.'s new required rate of return is F 0.6, 7.6 HC's Stock ☐ 0.5 An analyst believes that inflation is going to increase by 2.0% over the next year, while the market risk premium will be unchanged. The analyst uses the Capital Asset Pricing Model (CAPM). The following graph plots the current SML. Calculate Happy Corp.'s new required return. Then, on the graph, use the green points (rectangle symbols) to plot the new SML suggested by this analyst's prediction. 0 1.0 RISK (Beta) Tool tip: Mouse over the…Suppose we have the following information: Securit Amount Invested Expected Return Beta Stock A RM1 ,OOO 8% 0.80 Stock B RM2,OOO 12% 0.95 Stock C RM3,OOO 15% 1.10 Stock D RM4,OOO 18% a) Compute the expected return on this portfolio. b) Calculate the beta of the portfolio. c) Does this portfolio have more or less systematic risk than an average asset? Explain.You are comparing Stock A to Stock B. Given the following information, what is the difference in the expected returns of these two securities? State of Economy Probability of State of Economy Rate of Return if State Occurs Stock A Stock B Normal .75 .13 .16 Recession .25 −.05 −.21