5. You are considering investing in two securities, X and Y. The following data are available for the two securities: Security X Security Y Expected return 0.10 0.07 Standard deviation of returns 0.08 0.04 Beta 1.10 0.75

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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5. You are considering investing in two securities, X and Y. The following data are
available for the two securities:
Security X
Security Y
Expected return
0.10
0.07
Standard deviation of returns
0.08
0.04
Beta
1.10
0.75
Transcribed Image Text:5. You are considering investing in two securities, X and Y. The following data are available for the two securities: Security X Security Y Expected return 0.10 0.07 Standard deviation of returns 0.08 0.04 Beta 1.10 0.75
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Answer - 

a. if you invest 40 percent of your funds in Security X and 60 percent in Security Y and if the correlation of returns between X and Y is +0.5, compute the following:

 

i. The expected return from the portfolio - 

E(R) = w1R1 + w2R2

 

Rp = expected return for the portfolio

w1 = proportion of the portfolio invested in asset 1

R1 = expected return of asset 1

 

E(R) = .4(.10) + .6(.07) = .082 or 8.20 %

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