Assume the return on a market index represents the common factor and all stocks in the economy have a beta of 1. Firm-specific returns all have a standard deviation of 41%. Suppose an analyst studies 20 stocks and finds that one-half have an alpha of 4.3%, and one-half have an alpha of -4.3%. The analyst then buys $1.3 million of an equally weighted portfolio of the positive-alpha stocks and sells short $1.3 million of an equally weighted portfolio of the negative-alpha stocks. Required: a. What is the expected profit (in dollars), and what is the standard deviation of the analyst's profit? (Enter your answers in dollars now in millions. Do not round intermediate calculations. Round your answers to the nearest dollar amount.). Expected profit Standard deviation b-1. How does your answer for standard deviation change if the analyst examines 50 stocks instead of 20? (Enter your answer in dollars not in millions. Do not round intermediate calculations. Round your answer to the nearest dollar amount.) Standard deviation

Assume the return on a market index represents the common factor and all stocks in the economy have a beta of 1. Firm-specific returns all have a standard deviation of 41%. Suppose an analyst studies 20 stocks and finds that one-half have an alpha of 4.3%, and one-half have an alpha of -4.3%. The analyst then buys $1.3 million of an equally weighted portfolio of the positive-alpha stocks and sells short $1.3 million of an equally weighted portfolio of the negative-alpha stocks. Required: a. What is the expected profit (in dollars), and what is the standard deviation of the analyst's profit? (Enter your answers in dollars now in millions. Do not round intermediate calculations. Round your answers to the nearest dollar amount.). Expected profit Standard deviation b-1. How does your answer for standard deviation change if the analyst examines 50 stocks instead of 20? (Enter your answer in dollars not in millions. Do not round intermediate calculations. Round your answer to the nearest dollar amount.) Standard deviation

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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Two stocks, A and B, have beta coefficients of 1.0 and 0.4, respectively. If the expected return on the market is 9 percent and the risk-free rate is 6 percent, what is the risk premium associated with each stock? Round your answers to two decimal places. The risk premium for stock A: The risk premium for stock B: % %
Consider a CAPM economy. The risk free rate (rf ) is 4% and the expected market return (rM )is 10%. (a) Stock 1: β = 0.90. Compute the expected return of stock 1. (b) Stock 2: β = 1.1. Compute the expected return of stock 2. (c) Portfolio 1: The proportions invested in stock 1, stock 2, and risk free asset are 30%, 30%,and 40%, respectively. Compute the beta and expected return of portfolio 1. (d) Portfolio 2: The proportions invested in stock 1, stock 2, and risk free asset are 50%, 60%,and -10%, respectively. Compute the beta and expected return of portfolio 2.
Currently the risk-free rate equals 5% and the expected return on the market portfolio equals 11%. An investment analyst provides you with the following information: Stock A Beta 1.33 Expected Return 12% Stock B Beta 0.7 Expected Return 10% (a) Calculate the reward-to-risk ratios of stock A, stock B and in market equilibrium. Are stock A and stock B overvalued, undervalued or fairly valued? Briefly explain. [within 150 words] (b) You want a portfolio with the same risk as the market. Calculate the weights of stock A and B respectively. (please show me steps and round the final answer to 2 decimal places, thanks)
Suppose the risk-free return is 3.7% and the market portfolio has an expected return of 8.8% and a standard deviation of 16%. Johnson & Johnson Corporation stock has a beta of 0.73. What is its expected return (Round to 2 decimal places)
Assume the return on a market index represents the common factor and all stocks in the economy have a beta of 1. Firm-specific returns all have a standard deviation of 31%. Suppose an analyst studies 20 stocks and finds that one-half have an alpha of 2.0%, and one-half have an alpha of –2.0%. The analyst then buys $1.1 million of an equally weighted portfolio of the positive-alpha stocks and sells short $1.1 million of an equally weighted portfolio of the negative-alpha stocks. Required: a. What is the expected profit (in dollars), and what is the standard deviation of the analyst’s profit? (Enter your answers in dollars not in millions. Do not round intermediate calculations. Round your answers to the nearest dollar amount. b-1. How does your answer for standard deviation change if the analyst examines 50 stocks instead of 20?
We know that two stocks A and B are correctly priced by the CAPM model. For A, the expected return is 12%, and the beta is 1.5; for B, the expected return is 6%, and the beta is 0.5. Based on this information, what is the risk free rate and expected market return? Select one: A. 3%; 9% B. 3%; 6% C. 2%; 8% D. 4%; 10%
Consider two types of assets: market portfolio (M) and stock A. The expected return is 8% and standard deviation of the market portfolio is 15%. The risk-free rate is 2%. The standard deviation of market portfolio returns is 15%. The standard deviation of stock A is 30%, and the beta coefficient is 1. Draw the capital market line and show the position of stock A.
Consider a firm with a beta of 1.57. If the market return is 6.73% and the risk-free rate is 0.90%, what is the firm's expected return according to the capital asset pricing model? Round your answer to four decimal places, e.g., enter 12.34 for 12.34%.
Assume the return on a market index represents the common factor and all stocks in the economy have a beta of 1. Firm-specific returns all have a standard deviation of 40%.Suppose an analyst studies 20 stocks and finds that one-half have an alpha of 2.3%, and one-half have an alpha of –2.3%. The analyst then buys $1.2 million of an equally weighted portfolio of the positive-alpha stocks and sells short $1.2 million of an equally weighted portfolio of the negative-alpha stocks. Required: a. What is the expected profit (in dollars), and what is the standard deviation of the analyst’s profit? (Enter your answers in dollars not in millions. Do not round intermediate calculations. Round your answers to the nearest dollar amount.) b-1. How does your answer for standard deviation change if the analyst examines 50 stocks instead of 20? (Enter your answer in dollars not in millions. Do not round intermediate calculations. Round your answer to the nearest dollar amount.)
You are using the CAPM to calculate a fair return for Stardust common stock. The shares have a volatility of 28.00%, while the market has a volatility of 15.00%. The correlation between the two sets of returns is 0.3. The risk free rate is 2.60%, while the expected return on the market is 4.80%. What is the fair return for Stardust common stock?
If the risk free rate is 4.4%, the expected return on the market portfolio (i.e., Rm)( is 11.6%, and the beta of Stock B is 0.9 , what is the required rate of return for Stock B according to the Capital Asset Pricing Model (CAPM)? (Round your answer rounded to one decimal place and record without a percent sign). Your Answer: If the risk free rate is 1.2%, the market risk premium (i.e., Rm - Rf) is 13.5%, and the beta of Stock B is 1.9 , what is the required rate of return for Stock B according to the Capital Asset Pricing Model (CAPM)? (Round your answer rounded to one decimal place and record without a percent sign). Your Answer:
Assume for parts (a) to (h) that the Capital Asset Pricing Model holds. The marketportfolio has an expected return of 5%. Stock A’s return has a market beta of 1.5, anexpected value of 7% and a standard deviation of 10%. Stock B’s return has amarket beta of 0.5 and a standard deviation of 20%. The correlation between stockA’s and stock B’s return is 0.5.Required:a) Explain the term ‘capital asset pricing model.’b) What is the risk-free rate?c) What is the expected return on stock B?d) Draw a graph with expected return on the y-axis and beta on the x-axis. Indicate the approximate position of the risk-free asset, the market portfolio and stocks A and B on this graph. Draw the line, which connects these four points.e) Explain the term ‘Securities Market Line’, and what is the slope of the SML for this economy?f) Consider a portfolio with a weight of 50% in stock A and 50% in stock B. What are its variance and expected return?g) Where would under-priced and over-priced securities plot on…

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