Suppose that a portfolio consist of three securities: A, B and C with expected rates of return of 5%, 9% and 14% respectively. Find the expected rate of return on each of the following two portfolios of these securities: Portfolio A where WA = WB = Wc Portfolio B where wa = WB = 2wc Assume that you currently have $10,000 and that the risk of each portfolio is 10%. a) Which portfolio which you choose and why? b) How much will you have invested in each security in each instance? c) What is the expected value of the portfolio one year from today? d) What is the expected return on the portfolio in $ terms, assuming no taxes nor fees?

Suppose that a portfolio consist of three securities: A, B and C with expected rates of return of 5%, 9% and 14% respectively. Find the expected rate of return on each of the following two portfolios of these securities: Portfolio A where WA = WB = Wc Portfolio B where wa = WB = 2wc Assume that you currently have $10,000 and that the risk of each portfolio is 10%. a) Which portfolio which you choose and why? b) How much will you have invested in each security in each instance? c) What is the expected value of the portfolio one year from today? d) What is the expected return on the portfolio in $ terms, assuming no taxes nor fees?

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

Section: Chapter Questions

Problem 1PS

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You are given the following information concerning three portfolios, the market portfolio, and the risk-free asset: Portfolio Y Z Market Risk-free Rp 13.5% бр 35.00% 12.5 30.00 7.1 20.00 10.6 4.4 25.00 0 Вр 1.55 1.20 0.80 1.00 0 Assume that the correlation of returns on Portfolio Y to returns on the market is 0.70. What percentage of Portfolio Y's return is driven by the market? Note: Enter your answer as a decimal not a percentage. Round your answer to 4 decimal places. × Answer is complete but not entirely correct. R-squared 0.9785
Assume the APT equation for portfolios A and B with the following system of equations: E[rA] = λ0 + (λ1)3 + (λ2)0.2 = 11.0 E[rB] = λ0 + (λ1)2 + (λ2)1 = 13.0 Assume the following: . The risk free rate is λ0 = Rf = 5 . The expected return on the market portfolio is RM = 10 . Expected returns are consistent with the CAPM. . (hint: note that λ1 = E[RA] − Rf and λ2 = E[RB] − Rf ). Answer the following: (a) What are λ1 and λ2? (b) What is the CAPM β associated with the pure portfolio associated with factor 1? (c) What is the CAPM β associated with the pure portfolio associated with factor 2?
You are given the following information concerning three portfolios, the market portfolio, and the risk-free asset: Portfolio X Y Z Market Risk-free Rp 11.0% ор 33.00% 10.0 28.00 8.1 10.4 5.2 18.00 23.00 Ө вр 1.45 1.20 0.75 1.00 Ө Assume that the correlation of returns on Portfolio Y to returns on the market is 0.66. What percentage of Portfolio Y's return is driven by the market? Note: Enter your answer as a decimal not a percentage. Round your answer to 4 decimal places. R-squared
Assuming you are an investor with GHS100 available. If you invest GHS60 and GHS40 in Allos Inc. and Orangus Inc. respectively, what will be your portfolio returns? 4.Calculate the Standard deviation of the portfolio.
You are given the following information concerning three portfolios, the market portfolio, and the risk-free asset: 8p 1.70 1.30 0.85 1.00 Portfolio X Y Z Market Risk-free Rp 11.5% 10.5 7.2 10.9 4.6 R-squared op 38.00% 33.00 23.00 28.00 0 Assume that the correlation of returns on Portfolio Y to returns on the market is 0.76. What percentage of Portfolio Y's return is driven by the market? Note: Enter your answer as a decimal not a percentage. Round your answer to 4 decimal places.
Find the weights of the two pure factor portfolios constructed from the following three securities: r1 = .06 + 2F¡ + 2F, r2 = .05 + 3F, + IF, r3 = .04 + 3F, + OF, Then write out the factor equations for the two pure factor portfolios, and determine their risk premiums. Assume a risk-free rate that is implied by the factor equations and no arbitrage.
Consider a portfolio consisting of the below securities with the below characteristics: Security Amount Invested($) Beta Expected Return A 1,5 MIL 1.0 12.0%B 1.0 MIL 1.5 13.5%C 2.0 MIL 0.8 9.0% Required:a) Calculate the portfolio’s Beta. b) Calculate the portfolio’s expected return. c) Discuss the Capital Asset Pricing Model (CAPM) explaining what it is used forand which are its limitations.
An investor wants to determine the safest way to structure a portfolio from several investments, whose annual returns under different scenarios are as follows: Returns Scenario A B. D Probability 1. 0.11 -0.09 0.10 0.07 0.10 -0.11 0.12 0.14 0.06 0.10 3 0.09 0.15 0.11 0.08 0.10 4 0.25 0.18 0.33 0.07 0.30 0.18 0.16 0.1 0.06 0.40 9. Suppose the investor ignores the scenarios have different probabilities. If he has determined his risk aversion value is 0.75, what percentage of his portfolio should be invested in A? percent 2.
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Find a portfolio with payoff at time T equal to if 0 ≤ S(T) ≤ 10, if 10 ≤S(T) ≤ 30, if 30 ≤S(T). VT = 2ST + 30, -3ST+80, ST-40, Here, ST denotes the price of the underlying asset at time T. You can hold cash, the asset, calls, and puts.
The beta on risky asset A is 1.8 and the beta on risky asset Bis 1.1. The expected return on the market portfolio is 10% and the risk free rate of return is 4%. Consider a portfolio comprising the two riskypssets and the risk-free asset where you invest 50% in risky asset A and 30% in risky asset B. What is (i) the beta of a portfolio and fi) the expected return of the portfolio? Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. a None of the above b. (i) 0.97 and (ii) 9.829% (1) 1.23 and (ii) 9.8296 (1) 1.23 and (ii) 11.38% ) 0.97 and (ii) 11.38% e

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