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 30%. Suppose an analyst studies 20 stocks and finds that one-half have an alpha of 3%, and one-half have an alpha of -3%. The analyst then buys $1 million of an equally weighted portfolio of the positive-alpha stocks and sells short $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 in millions. Round your answers to the nearest dollar amount.) ✔ Answer is complete and correct. $ $ Expected profit Standard deviation 60,000✔✓ 134,164

Intermediate Financial Management (MindTap Course List)
13th Edition
ISBN:9781337395083
Author:Eugene F. Brigham, Phillip R. Daves
Publisher:Eugene F. Brigham, Phillip R. Daves
Chapter2: Risk And Return: Part I
Section: Chapter Questions
Problem 4P: An analyst has modeled the stock of a company using the Fama-French three-factor model. The market...
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Please explain b-1. Thanks!

 

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 30%.
Suppose an analyst studies 20 stocks and finds that one-half have an alpha of 3%, and one-half have an alpha of -3%. The analyst
then buys $1 million of an equally weighted portfolio of the positive-alpha stocks and sells short $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. Round your answers to the nearest dollar amount.)
Answer is complete and correct.
$
$
Expected profit
Standard deviation
60,000✔
134,164
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. Round your answer to the nearest dollar amount.)
Answer is complete but not entirely correct.
$ 134,164 x
Standard deviation
Transcribed Image Text: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 30%. Suppose an analyst studies 20 stocks and finds that one-half have an alpha of 3%, and one-half have an alpha of -3%. The analyst then buys $1 million of an equally weighted portfolio of the positive-alpha stocks and sells short $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. Round your answers to the nearest dollar amount.) Answer is complete and correct. $ $ Expected profit Standard deviation 60,000✔ 134,164 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. Round your answer to the nearest dollar amount.) Answer is complete but not entirely correct. $ 134,164 x Standard deviation
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