You have a portfolio with a standard deviation of 29% and an expected return of 19%. You are considering adding one of the two stocks in the following table. If after adding the stock you will have 20% of your money in the new stock and 80% of your money in your existing portfolio, which one should you add? Expected Return Standard Deviation Correlation with Your Portfolio's Returns Stock A 16% 16% 23% 0.4 Stock B 16% 0.5 Standard deviation of the portfolio with stock A is%. (Round to two decimal places.) Standard deviation of the portfolio with stock B is %. (Round to two decimal places.) Which stock should you add and why? (Select the best choice below.) O A. Add B because the portfolio is less risky when B is added. O B. Add A since the portfolio is less risky when A is added. O C. Add either one because both portfolios are equally risky.

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter8: Analysis Of Risk And Return
Section: Chapter Questions
Problem 25P
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You have a portfolio with a standard deviation of 29% and an expected return of 19%. You are considering adding one of the two stocks in the following table. If after adding the stock you will have 20% of your money in the new stock and 80% of
your money in your existing portfolio, which one should you add?
Expected
Return
Standard
Correlation with
Deviation
Your Portfolio's Returns
Stock A
16%
23%
0.4
Stock B
16%
16%
0.5
Standard deviation of the portfolio with stock A is
%. (Round to two decimal places.)
Standard deviation of the portfolio with stock B is
%. (Round to two decimal places.)
Which stock should you add and why? (Select the best choice below.)
A. Add B because the portfolio is less risky when B is added.
B. Add A since the portfolio is less risky when A is added.
C. Add either one because both portfolios are equally risky.
Transcribed Image Text:You have a portfolio with a standard deviation of 29% and an expected return of 19%. You are considering adding one of the two stocks in the following table. If after adding the stock you will have 20% of your money in the new stock and 80% of your money in your existing portfolio, which one should you add? Expected Return Standard Correlation with Deviation Your Portfolio's Returns Stock A 16% 23% 0.4 Stock B 16% 16% 0.5 Standard deviation of the portfolio with stock A is %. (Round to two decimal places.) Standard deviation of the portfolio with stock B is %. (Round to two decimal places.) Which stock should you add and why? (Select the best choice below.) A. Add B because the portfolio is less risky when B is added. B. Add A since the portfolio is less risky when A is added. C. Add either one because both portfolios are equally risky.
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