Jenny has $200,000 to invest and is considering the merits of two securities. He is interested in the common shares of X Co. and Y Inc. The possible monthly rate of return of the securities is shown below: Possible Monthly Rate of Return of Security in January 2019 Probability State of Affair Stock X Stock Y Boom 0.2 50% -5% Normal 0.5 15% 8% Recession 0.3 -5% 10% Jenny plans to invest 30% of his money in X and the remainder in Y.

Pfin (with Mindtap, 1 Term Printed Access Card) (mindtap Course List)
7th Edition
ISBN:9780357033609
Author:Randall Billingsley, Lawrence J. Gitman, Michael D. Joehnk
Publisher:Randall Billingsley, Lawrence J. Gitman, Michael D. Joehnk
Chapter12: Investing In Stocks And Bonds
Section: Chapter Questions
Problem 2FPE: An investor is thinking about buying some shares of Health Diagnostics, Inc., at $75 a share. She...
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  1. (a)  Calculate the expected rate of return, variance and standard deviation of Stock X & Stock Y.

  2. (b)  Assume that the covariance between Stock X and Stock Y is -0.5%. Calculate the expected rate of return, variance and standard deviation of Jenny’s portfolio. 

  3. (c)  Explain why, in general, the portfolio risk is lower than the weighted average of individual stocks’ risk. 

Jenny has $200,000 to invest and is considering the merits of two securities. He is interested in the
common shares of X Co. and Y Inc. The possible monthly rate of return of the securities is shown
below:
Possible Monthly Rate of Return of Security in January 2019
Probability
State of Affair
Stock X
Stock Y
Boom
0.2
50%
-5%
Normal
0.5
15%
8%
Recession
0.3
-5%
10%
Jenny plans to invest 30% of his money in X and the remainder in Y.
Transcribed Image Text:Jenny has $200,000 to invest and is considering the merits of two securities. He is interested in the common shares of X Co. and Y Inc. The possible monthly rate of return of the securities is shown below: Possible Monthly Rate of Return of Security in January 2019 Probability State of Affair Stock X Stock Y Boom 0.2 50% -5% Normal 0.5 15% 8% Recession 0.3 -5% 10% Jenny plans to invest 30% of his money in X and the remainder in Y.
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