A person is interested in constructing a portfolio. Two stocks are being considered. Letx = percent return for an investment in stock 1, and y = percent return for an investment instock 2. The expected return and variance for stock 1 are e(x) = 8.45% and Var(x) = 25.The expected return and variance for stock 2 are e(y) = 3.20% and Var(y) = 1. Thecovariance between the returns is sxy = −3.a. what is the standard deviation for an investment in stock 1 and for an investment instock 2? Using the standard deviation as a measure of risk, which of these stocks isthe riskier investment?b. what is the expected return and standard deviation, in dollars, for a person who invests$500 in stock 1?c. what is the expected percent return and standard deviation for a person who constructsa portfolio by investing 50% in each stock?d. what is the expected percent return and standard deviation for a person who constructsa portfolio by investing 70% in stock 1 and 30% in stock 2?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter2: Exponential, Logarithmic, And Trigonometric Functions
Section2.CR: Chapter 2 Review
Problem 111CR: Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data...
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A person is interested in constructing a portfolio. Two stocks are being considered. Let
x = percent return for an investment in stock 1, and y = percent return for an investment in
stock 2. The expected return and variance for stock 1 are e(x) = 8.45% and Var(x) = 25.
The expected return and variance for stock 2 are e(y) = 3.20% and Var(y) = 1. The
covariance between the returns is sxy = −3.
a. what is the standard deviation for an investment in stock 1 and for an investment in
stock 2? Using the standard deviation as a measure of risk, which of these stocks is
the riskier investment?
b. what is the expected return and standard deviation, in dollars, for a person who invests
$500 in stock 1?
c. what is the expected percent return and standard deviation for a person who constructs
a portfolio by investing 50% in each stock?
d. what is the expected percent return and standard deviation for a person who constructs
a portfolio by investing 70% in stock 1 and 30% in stock 2?

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