(1) The standard deviation of a portfolio that has 40% of its value invested in a risk-free assetand 60% of its value invested in a risky asset with a standard deviation of 30% is:A. 18%В. 14%.C. 21%D. 24%

Standard Deviation: It refers to the stand-alone risk associated with the securities. It measures…

Answered: (1) The standard deviation of a…

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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V Quiz# 5 (Q) The following are estimates for four risk assets (A,B,C,D). The portfolio P is an equal weighted portfolio of the four risk assets. weight B Systematic Residual Total risk (S.D.) risk (S.D.) risk(S.D.) Stock A 0.25 0.8 16% 30% 34.0% Stock B 0.25 1.0 20% 35% 40.3% Stock C 0.25 1.2 24% 45% 51.0% Stock D 0.25 1.4 28% 40% 48.8% Portfolio P 1.00 Calculate systematic risk (standard deviation of systematic return) of the portfolio (%) Calculate residual risk (S.D.) of the portfolio (%) 3Calculate Pearson correlation between returns of A and B (Round to the third decimal place) 4 Explain why The CAPM is not testable (10-30words)
Compute the annual tracking error from the following information: Quarter Portfolio B's 1 2 3 4 O 1.06% O 2.12% O 3.67% O 4.25% O None Portfolio A's Return (%) 1.15 1.89 1.15 -0.47 Return (%) 1.65 -0.10 0.52 -0.60
8. A portfolio consists of bonds, stocks, commodities and real estates. The portfolio weightings, expected returns, variances and correlation matrix are shown below. Bonds Stocks Commodities Real Estate Correlation Matrix Bonds Stocks Commodities Real Estate Weight 50% 10% 15% 25% Bonds 1.0 Stocks -0.2 1.0 Expected Return 8% 12% 20% 16% Commodities 0.1 0.4 1.0 Variance (%²) 10 30 15 20 Real Estate 0.3 0.6 0.2 1.0 a. Calculate the expected return and the standard deviation of the return of the portfolio.
Question 3 A portfolio consisting of 5 securities could have its beta factor computed Security % of portfolio Beta factor of A B с D E 20 10 15 20 35 security 0.90 1.25 1.10 1.15 0.70 as follows: Weighted beta factor 0.180 0.125 0.165 0.230 0.245 If the risk-free rate of return is 12% and the expected return on the market is 20%. Determine the expected return of this portfolio.
3.
1 what is the expected return on a portfolio that is invested 70 in k and 30 given the following information 25 75 16 12 13 8 A: 13.32% B: 12.25% C: 11.88% D: None are correct E: 11.13%
8. A portfolio consists of bonds, stocks, commodities and real estates. The portfolio weightings, expected returns, variances and correlation matrix are shown below. Weight Expected Return Variance (%2) Bonds 50% 10% 15% 25% 8% 12% 20% 16% 10 30 15 20 0.1 0.3 0.4 0.6 1.0 0.2 1.0 Stocks Commodities Real Estate Correlation Matrix Bonds 1.0 -0.2 1.0 Stocks Commodities Real Estate Bonds Stocks Commodities Real Estate Calculate the standard deviation of the return of the portfolio.
Consider the following portfolio of assets: Loan Weight 1 0.30 2 0.70 Expected returni ம σ2 13% 11% 9.06% 82.0% P12=-0.87 8.72% 76.0% 012-75.0% What is the variance of the portfolio (round to two decimals)? Note: a^2 denotes the square of a. For example, 2^2 = 4, 3^2=9 (0.3)^2*(82.0%) + (0.7)^2*(76.0%) + (0.3) (0.7)(-0.87) (9.06%) (8.72%) = 30.19 (0.3)^2 (82.0%) + (0.7)^2*(76.0%) + 2(0.3) (0.7)(-0.87) (9.06 %) (8.72%) = 15.75 (0.3)^2*(82.0%) + (0.7)^2*(76.0%) + [(0.3) (0.7)]^2 (-0.87) (9.06%) (8.72%) = 41.59 (0.3) (82.0%) + (0.7) (76.0%) + 2(0.3) (0.7)(-0.87) (9.06 %) (8.72%) = 48.93
Q6. Gamma Ltd and Delta Ltd. have the following details: Risk (S D) Return B Ltd 25% 30% V Ltd 20% 22% -0.40 Construct the minimum risk portfolio using Markowitz Model. Also calculate the return and risk of that portfolio. Show the benefit of diversification.
Question 2 You calculated that the average return of your portfolio is 3% and the standard deviation is 22%, what is the value at risk (VaR) at 5% for your portfolio? -33.3%

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(1) The standard deviation of a portfolio that has 40% of its value invested in a risk-free asset and 60% of its value invested in a risky asset with a standard deviation of 30% is: A. 18% В. 14%. C. 21% D. 24%