Please Give Step by Step AnswerOtherwise i give DISLIKES !! Consider the following information:State ofProbability ofEconomy State of EconomyRate of Return if State OccursStock AStock BStock CBoom.15.350.450.330Good.45.120.100.170PoorBust.35.05.010-.110.020-.050-.250-.090a. Your portfolio is invested 30 percent each in A and C and 40 percent in B. What is the expected return of the portfolio?Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16b. What is the variance of this portfolio?Note: Do not round intermediate calculations and round your answer to 5 decimal places, e.g., .16161.c. What is the standard deviation of this portfolio?Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16a. Expected returnb. Variancec. Standard deviation%%

### Final Results:a. Expected return: 22.12%b. Variance: 0.07528c. Standard deviation: 27.45%

Answered: Consider the following information:…

Managerial Accounting

15th Edition

ISBN:9781337912020

Author:Carl Warren, Ph.d. Cma William B. Tayler

Publisher:Carl Warren, Ph.d. Cma William B. Tayler

Chapter12: Capital Investment Analysis

Section: Chapter Questions

Problem 1CMA

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Consider the following information: Rate of Return if State Occurs State of Economy Probability of State of Economy Stock A Stock B Stock C Boom .15 .35 .45 .27 Good .55 .16 .10 .08 Poor .25 -.01 -.06 -.04 Bust .05 -.12 -.20 -.09 a) Your portfolio is invested 40 percent each in A and C, and 20 percent in B. What is the expected return of the portfolio? b) What is the variance of this portfolio? The standard deviation? Stock C .45 .27 .10 .08 -.06 -.04 -.20 -.09
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Portfolio Management A particular firm’s portfolio is composed of two assets, which we will call" A" and "B." Let X denote the annual rate of return from asset A, and let Y denote the annual rate of return from asset B. Suppose that E(X) = 0.15, E(Y) = 0.20, SD (X) = 0.05, SD (Y) = 0.06, and CORR (X, Y) = 0.30. (a) What is the expected return of investing 50% of the portfolio in asset A and 50% of the portfolio in asset B? What is the variance of this return? (b) Replace CORR (X, Y) = 0.30 by CORR (X, Y) = 0.60, 0, -0.30, and -0.60 and answer the questions in part (a). What is the impact of correlation on the expected returns and its variance? Explain why this is so. (c) Suppose that the fraction of the portfolio that is invested in asset B is f, and so the fraction of the portfolio that is invested in asset A is (1 – f). Let f vary from f = 0.0 to f = 1.0 in increments of 5% (that is, f = 0.0, 0.05, 0.10, 0.15, ...), and compute the mean and the variance of the annual rate of…
Consider a single-index model economy. The index portfolio M has E(RM ) = 6%, σM = 18%.An individual asset i has an estimate of βi = 1.1 and σ2ei = 0.0225 using the single index modelRi = αi + βiRM + ei. The forecast of asset i’s return is E(ri) = 12%. rf = 4%. a) According to asset i’s return forecast, calculate αi. (b) Calculate the optimal weight of combining asset i and the index portfolio M . (c) Calculate the Sharpe ratio of the index portfolio M and the portfolio optimally combiningasset i and the index portfolio M .

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