You are a portfolio manager. You observe that two normally distributed asset returns, R1 and R2, and have the same mean, μ, and the same variance, σ, but are independent. Given that P(R1 < 0.05) = 0.2 find the mean and riskiness (variance) of the return of the portfolio, R, that consists of a Asset 1 where 0

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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You are a portfolio manager. You observe that two normally distributed asset returns, R1 and R2, and have the same mean, μ, and the same variance, σ, but are independent. Given that P(R1 < 0.05) = 0.2 find the mean and riskiness (variance) of the return of the portfolio, R, that consists of a Asset 1 where 0<a<1 and b of Asset 2 where 0<b<1, i.e. (R =aR1 +bR2 ) and a+b=1. First determine a randomly by selecting from a uniform distribution between (0,1), (b=1-a), then solve the question. Write all the details of the steps that you actually went through while solving this exercise in a very clear manner.

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