Nikul Suppose stock returns can be explained by a two-factor model. The firm-specific risks forall stocks are independent. The following table shows the information for two diversifiedportfolios:ẞ1ẞ2E(R)Portfolio.791.0918%A-.1916Portfolio B 1.39If the risk-free rate is 4 percent, what are the risk premiums for each factor in this model?(Do not round intermediate calculations and enter your answers as a percent roundedto 2 decimal places, e.g., 32.16.)Factor F1Factor F2%%

Part 2:Explanation:Step 1: Calculate the excess returns for each portfolio.For Portfolio A:\[E(R)_A…

Answered: Suppose stock returns can be explained…

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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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? %
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Suppose that three stocks (A, B, and C} and two common risk factors (1 and 2) have the following relationship: E(RA) = (1.1)A1 + (0.8)A2 E(RB) = (0.7)A1 + (0.6)A2 E(RC) = (0.3)A1 + (0.4)A2 a. If A1 = 4 percent and A2 = 2 percent, what are the prices expected next year for each of the stocks? Assume that all three stocks currently sell for $30 and will not pay a dividend in the next year. b. Suppose that you know that next year the prices for Stocks A, B, and C will actually be $31.50, $35.00, and $30.50. Create and demonstrate a riskless, arbitrage investment to take advantage of these mispriced securities. What is the profit from your investment? You may assume that you can use the proceeds from any necessary short sale. Problems 13 and 14 refer to the data contained in Exhibit 7.23, which lists 30 monthly excess returns to two different actively managed stock portfolios (A and B) and three different common risk factors (1, 2, and 3). {Note: You may find it…
Suppose that many stocks are traded in the market and that it is possible to borrow at the risk-free rate, rf. The characteristics of two of the stocks are as follows: Correlation = -1 Stock Rate of return B O Yes ● No Expected 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.) % 6% 12% Standard Deviation 25% 75% b. Could the equilibrium rf be greater than rate of return?
i) Calculate the expected return for each stock assuming the Capital Asset Pricing Model (CAPM) is valid, and explain if they are correctly priced. Show your calculations.
K (Expected rate of return and risk) Syntex, Inc. is considering an investment in one of two common stocks. Given the information that follows, which investment is better, based on the risk (as measured by the standard deviation) and return? Common Stock A Probability 0.20 0.60 0.20 Common Stock B Return 13% 17% 18% Probability 0.10 0.40 0.40 0.10 (Click on the icon in order to copy its contents into a spreadsheet.) Return -7% 5% 16% 21% www a. Given the information in the table, the expected rate of return for stock A is 16.40 %. (Round to two decimal places.) The standard deviation of stock A is 1.74 %. (Round to two decimal places.) b. The expected rate of return for stock B is 9.8 %. (Round to two decimal places.) The standard deviation for stock B is 6.12 %. (Round to two decimal places.)
Suppose that there are many stocks in the security market and that the characteristics of stocks A and B are given as follows: Stock A B Expected Return 11% 17 Correlation -1 Risk-free rate Standard Deviation 6% 9 Suppose that it is possible to borrow at the risk-free rate, r. What must be the value of the risk-free rate? (Hint: Think about constructing a risk-free portfolio from stocks A and B.) (Do not round intermediate calculations. Round your answer to 3 decimal places.) %
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: Stock Expected Return Standard Deviation A 8% 55% B 4% 45% Correlation = −1 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.) b. Could the equilibrium rƒ be greater than rate of return?
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?
2
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…
Suppose that many stocks are traded in the market and that it is possible to borrow at the risk-free rate, r. The characteristics of two of the stocks are as follows: Stock A B Correlation-1 Rate of return. Expected. Return 79 10% Standard Deviation 30% 70% 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.) b. Could the equilibrium ry be greater than rate of return? Yes No

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