return of 35% and a risk (o) of 65%. What is the specific risk of this3. On a market stocks returns are explained by two factors F1 and F2:Ri= ai + Bil F1 + ßi2 F2 + eiPortofoliosStockA, B and C are perfectly diversified and have the following characteristics:Expected returnBilBi2A11.12510.5B10.50.51C80.30.6Another stock D has a return of 12% and a sensitivity to these factors of 0,7 and 0,65 respectively.a. Compute the risk premiums of these factors.b. Use A,B and C to construct a portfolio with the same level of risk as stock D.c. what is the possible arbitrage gain of an investor who buys shares of D in value of100000$?

Note: The risk of stock D is not provided in the question. Hence parts b and c have not been…

specific risk of this 3. On a market stocks returns are explained by two factors F1 and F2: Ri= ai + Bil F1 + ßi2 F2 + εi Portofolios A, B and C are perfectly diversified and have the following characteristics: Stock Expected return Bil Bi2 A 11.125 0.5 1 B 10.5 0.5 1 C .0.6 8 0.3 nother stock D has a return of 12% and a sensitivity to these factors of 0,7 and 0,65 respectively. a. Compute the risk premiums of these factors. b. Use A.B and C to cont

specific risk of this 3. On a market stocks returns are explained by two factors F1 and F2: Ri= ai + Bil F1 + ßi2 F2 + εi Portofolios A, B and C are perfectly diversified and have the following characteristics: Stock Expected return Bil Bi2 A 11.125 0.5 1 B 10.5 0.5 1 C .0.6 8 0.3 nother stock D has a return of 12% and a sensitivity to these factors of 0,7 and 0,65 respectively. a. Compute the risk premiums of these factors. b. Use A.B and C to cont

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Consider the following table, which gives a security analyst’s expected return on two stocks and the market index in two scenarios: Scenario Probability Market Return Aggressive Stock Defensive Stock 1 0.5 6% 2.0% 5.0% 2 0.5 20 32 15 Required: a. What are the betas of the two stocks? (Round your answers to 2 decimal places.) Beta A : Beta D: b. What is the expected rate of return on each stock? (Round your answers to 2 decimal places.) % Rate of Return on A: % Rate of Return on B:
Q1: Explain the meaning and significance of a stock's beta coefficient. Illustrate your explanation by drawing, on one graph, the characteristic lines for stocks with low, average, and high risk. (Hint: Let your three characteristic lines intersect at r_i=r_m=6%, the assumed risk-free rate.) Q2: Define the following terms, using graphs or equations to illustrate your answers where feasible. a) Risk, stand-alone risk b) Expected rate of return c) standard deviation, variance d) risk premium for stock i, market risk premium e) Capital Asset Pricing Model (CAPM) f) Expected return on a portfolio g) market risk, diversifiable risk h) Beta i) Security Market Line; SML equation j) Slope of SML and its relationship to risk aversion. Q3. Differentiate between (a) stand-alone risk and (b) risk in a portfolio context. How are they measured, and are both concepts relevant for investors? Q4. Can an investor eliminate market risk from a portfolio of common stocks? How many stocks must a portfolio…
The returns on each of the three stocks are positively correlated, but they are not perfectly correlated. Expected Standard Stock Return Deviation Beta Stock A 10% 20% 1.0 Stock B 10 20 1.0 Stock C 12 20 1.4 The risk-free rate is 5%. The required returns equal expected returns. What is the market risk premium? а. 4.0% b. 4.5% C. 5.0% d. 5.5% A stock has an expected return of 12% percent. The beta of the stock is 1.2 and the risk-free rate is 7%. What is the market risk premium? а. 2.50% b. 3.50% С. 4.17% d. 5.33% Calculate the beta of the stock that has a required rate of return of 14%. The risk-free rate of return is 5% and that the market risk premium is 7%. а. 1.25 b. 1.29 С. 1.50 d. 1.83
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 many stocks are traded in the market and that it is possible to borrow at the risk-free rate, rƒ. The characteristics of two of the stocks are as follows: Correlation = -1 Stock A B Rate of return Required: a. Calculate the expected rate of return on this risk-free portfolio? (Hint: Can a particular stock portfolio be formed to create a "synthetic" risk-free asset?) (Round your answer to 2 decimal places.) Yes No X Answer is not complete. Expected Return 9% 13% % Standard Deviation 45% 55% b. Could the equilibrium rƒ be greater than rate of return?
only typed answer Stock A's stock has a beta of 1.30, and its required return is 15.25%. Stock B's beta is 0.80. If the risk-free rate is 4.75%, what is the required rate of return on B's stock? (Hint: First find the market risk premium.) Select the correct answer. a. 11.15% b. 11.18% c. 11.21% d. 11.24% e. 11.27%
Suppose securities A, B, and C have the following expected return and risk. Stock Expected return Risk A 8% 6% B 7% 9% C 13% 9% What is the coefficient of variation for stock A?
1. If a stock has a(Alpha)=0.002, b(Beta)=1.4, Using the market model (eq. 7.4), find the expected percent return for the above stock if the market return is expected to be 2% and the risk free rate is 1%. 2. Assume stock prices follow a random walk and a particular stock has had the following recent stock prices: Day 1: 129.5 Day 2: 126.9 Day 3: 127.1 what is the best estimate of day 4 prices?
We have the following information on Stocks A and B. The risk-free rate is 5%, and the market risk premium is 7.5%. Assume that the market portfolio is correctly priced. Based on the reward-to-risk ratio, are Stocks A and B overpriced, underpriced, or correctly priced? Stock A Stock B Expected return 1196 16.25% Beta 0.8 1.5
U Assume CAPM holds. We know expected return and beta of two stocks: Stock A: E[ra] = 10% and beta_a = 1.5 Stock B: E[rb] = 5% and beta_b = 0.5 What would be the expected return of a stock that has a beta of 0.9? O 6.5% Ⓒ7% O 7.5% O 6% Question 5 Which of the following statements is false? o The CAPM follows from equilibrium conditions in a frictionless mean-variance economy with rational investors According to CAPM, everyone should hold a mix of the market portfolio and the risk-free asset. According to CAPM, everyone can generate positive return by buying positive alpha stocks and by selling negative alpha stocks. According to CAPM, the expected return on a stock is a linear function of its beta.
Using the CAPM, estimate the appropriate required rate of return for the three stocks listed here, given that the risk-free rate is 4 percent and the expected return for the market is 17 percent. STOCK BETA A 0.63 B 0.95 C 1.48 a. Using the CAPM, the required rate of return for stock A is B.Using the CAPM, the required rate of return for stock b is C.Using the CAPM, the required rate of return for stock C is (Round to two decimal places.)
Consider the following stock return scenarios for three stocks: Stock Stock A B Economy Up Average Down 8% 5% 0% 2% 3% 4% Stock с 12% 0% -5% If each state of the economy is equally likely, calculate the expected return and population standard deviation for a portfolio invested entirely in Stock A. Which stock should be added to the portfolio to reduce risk?

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