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.

SWFT Essntl Tax Individ/Bus Entities 2020
23rd Edition
ISBN:9780357391266
Author:Nellen
Publisher:Nellen
Chapter10: Individuals: Income, Deductions, And Credits
Section: Chapter Questions
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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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