Consider the following: 1. Strategy I: Suppose that you invest $100 in a stock. There is a 60% chance that the stock will go up in value by $10 at by the end of this year. There is a 40% chance that the stock will go down in value by $5 by the end of the year. 2. Strategy II: Suppose that you invest $10 in 10 separate stocks. Each of these stocks also has a 60% chance of going up by 10% and a 40% chance of going down by 5% by the end of the year, and the performance of each of them is independent from the performance of the others. The rate of return on each of these investment strategy can be described as Money at end of year Money at beginning of year Calculate the expectation and variance of rates of return for these two strategies. 1

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter8: Analysis Of Risk And Return
Section: Chapter Questions
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Question 1 (Diversification
Consider the following:
1. Strategy I: Suppose that you invest $100 in a stock. There is a 60% chance that the stock
will go up in value by $10 at by the end of this year. There is a 40% chance that the stock
will go down in value by $5 by the end of the year.
2. Strategy II: Suppose that you invest $10 in 10 separate stocks. Each of these stocks also has
a 60% chance of going up by 10% and a 40% chance of going down by 5% by the end of the
year, and the performance of each of them is independent from the performance of the others.
The rate of return on each of these investment strategy can be described as
Money at end of year
Money at beginning of year
Calculate the expectation and variance of rates of return for these two strategies.
1
Transcribed Image Text:Question 1 (Diversification Consider the following: 1. Strategy I: Suppose that you invest $100 in a stock. There is a 60% chance that the stock will go up in value by $10 at by the end of this year. There is a 40% chance that the stock will go down in value by $5 by the end of the year. 2. Strategy II: Suppose that you invest $10 in 10 separate stocks. Each of these stocks also has a 60% chance of going up by 10% and a 40% chance of going down by 5% by the end of the year, and the performance of each of them is independent from the performance of the others. The rate of return on each of these investment strategy can be described as Money at end of year Money at beginning of year Calculate the expectation and variance of rates of return for these two strategies. 1
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