Corporate Finance: The Core, Student Value Edition Plus Mylab Finance With Pearson Etext -- Access Card Package (4th Edition)
4th Edition
ISBN: 9780134426785
Author: Jonathan Berk, Peter DeMarzo
Publisher: PEARSON
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Question
Chapter 13, Problem 16P
a.
Summary Introduction
To determine: The alpha that informed traders make.
Introduction: Stock alpha is the overabundance risk of the required return; it implies that it is controlled by subtracting the required return of the stock as per SML (security market line) from the expected return of the stock.
b.
Summary Introduction
To determine: The alpha that passive traders make.
c.
Summary Introduction
To determine: The expected return of fad followers.
d.
Summary Introduction
To determine: The alpha that fad followers make.
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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.)
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.
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.)
b-2. How does your answer for standard deviation change if the analyst examines 100 stocks instead of 20? (Enter your answer in dollars not in millions.)
Assume that stock market returns have the market index as a common factor, and that all stocks in the economy have a beta of 1.6 on the market index. Firm-specific returns all have a standard deviation of 25%.
Suppose that an analyst studies 20 stocks and finds that one-half of them have an alpha of +2.5%, and the other half have an alpha of −2.5%. Suppose the analyst invests $1.0 million in an equally weighted portfolio of the positive alpha stocks, and shorts $1 million of an equally weighted portfolio of the negative alpha stocks.
a. What is the expected profit (in dollars) and standard deviation of the analyst’s profit? (Do not round intermediate calculations. Round your answers to the nearest whole dollar amount.)
b. How does your answer change if the analyst examines 50 stocks instead of 20 stocks? 100 stocks? (Do not round intermediate calculations. Round your answers to the nearest whole dollar amount.)
Chapter 13 Solutions
Corporate Finance: The Core, Student Value Edition Plus Mylab Finance With Pearson Etext -- Access Card Package (4th Edition)
Ch. 13.1 - If investors attempt to buy a stock with a...Ch. 13.1 - What is the consequence of investors exploiting...Ch. 13.2 - How can an uninformed or unskilled investor...Ch. 13.2 - Under what conditions will it be possible to earn...Ch. 13.3 - Do investors hold well-diversified portfolios?Ch. 13.3 - Why is the high trading volume observed in markets...Ch. 13.3 - What must be true about the behavior of small,...Ch. 13.4 - What are several systematic behavioral biases that...Ch. 13.4 - Prob. 2CCCh. 13.5 - Prob. 1CC
Ch. 13.5 - Prob. 2CCCh. 13.6 - Prob. 1CCCh. 13.6 - Prob. 2CCCh. 13.7 - Prob. 1CCCh. 13.7 - How can you use the Fama-French-Carhart factor...Ch. 13.8 - Which is the most popular method used by...Ch. 13.8 - Prob. 2CCCh. 13.8 - Prob. 3CCCh. 13 - Assume that all investors have the same...Ch. 13 - Assume that the CAPM is a good description of...Ch. 13 - Prob. 3PCh. 13 - Prob. 4PCh. 13 - Prob. 5PCh. 13 - Explain what the following sentence means: The...Ch. 13 - You are trading in a market in which you know...Ch. 13 - Prob. 8PCh. 13 - Your brother Joe is a surgeon who suffers badly...Ch. 13 - Prob. 11PCh. 13 - Suppose that all investors have the disposition...Ch. 13 - Prob. 14PCh. 13 - Prob. 15PCh. 13 - Prob. 16PCh. 13 - Prob. 17PCh. 13 - Prob. 18PCh. 13 - Each of the six firms in the table below is...Ch. 13 - Prob. 20PCh. 13 - In Problem 20, assume the risk-free rate is 3% and...Ch. 13 - Prob. 22PCh. 13 - Prob. 23PCh. 13 - Prob. 24PCh. 13 - Explain why if some investors are subject to...Ch. 13 - Prob. 26PCh. 13 - Prob. 27PCh. 13 - You are currently considering an investment in a...Ch. 13 - Prob. 29P
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