What is the bond proportion of the Minimum Variance Portfolio comprising: • equity with an expected return of 14% and standard deviation of 20% • bond with an expected return of 8% and standard deviation of 12% the correlation between equity and bond is 0.252 O A. 0.8019 O B. 0.6928 O C. None of the given answers is correct. O D. 0.1981

What is the bond proportion of the Minimum Variance Portfolio comprising: • equity with an expected return of 14% and standard deviation of 20% • bond with an expected return of 8% and standard deviation of 12% the correlation between equity and bond is 0.252 O A. 0.8019 O B. 0.6928 O C. None of the given answers is correct. O D. 0.1981

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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QUESTION 1 Under which of the following scenarios, the minimum variance portfolio that contains two stocks has the smallest standard deviation? OA. The correlation between the two stock returns is -1 OB. The correlation between the two stock returns is -0.2 OC. The correlation between the two stock returns is 0.2 OD. The correlation between the two stock returns is 0.5
A bond portfolio is given with a modified duration of 3,12 and modified convexity of 5,01. YTM for the portfolio is 8,36%. Calculate change in portfolio (in % points) caused by the change in YTM to 8,16%. Explain which features of a bond increase its duration
Q1: Suppose there are (N) securities in the market and it is Expected return for each security = 10%. It was a contrast For any security = 0.0144 and the deviation was The common (covariance) between any two cards = 0.0064 Required: 1-Determine the expected return and variance of a portfolio consisting of... (N) paper, note that the relative weight of all papers equal = 1-N? 2- Explain what happens to the variance of this portfolio as it increases value(N)?
Which of the following statements regarding bonds and their terms is FALSE? *** OA. When we calculate a bond's yield to maturity by solving the formula, Coupon Coupon Coupon + Face Price of an n-period bond = (1 + )" + + + MA (1+)¹ (1+)² the yield we compute will be a rate per coupon interval. OB. The internal rate of return (IRR) of an investment in a zero-coupon bond is the rate of return that investors will earn on their money if they buy a default - free bond at its current price and hold it to maturity. OC. The yield to maturity of a bond is the discount rate that sets the future value (FV) of the promised bond payments equal to the current market price of the bond. OD. Financial professionals also use the term spot interest rates to refer to the default - free zero- coupon yields.
2. Consider the following expected returns, volatilities, and correlations: Expected Standard Stock Return Deviation Correlation with Vital Correlation with Mital Correlation with Pital Vital 14% 6% 1.0 -1.0 0.0 Mital 44% 24% -1.0 1.0 0.7 Pital 23% 14% 0.0 0.7 1.0 a. Imagine a portfolio comprising solely of Vital and Mital. What portion of should be allocated to Vital stock to ensure a risk-free investment? your investment b. What is the portfolio's volatility when holding a $10,000 long position in Pital and a $2000 short position in Mital? wwwww c. In a market, there are two securities, Artis and Brotis. Currently, the price of Artis stands at £50. Looking ahead, the price of Artis next year will be £40 during a recession, £55 in normal economic times, and £60 in an expanding economy. The probabilities associated with recession, normal times, and expansion are 0.1, 0.8, and 0.1, respectively. Artis does not pay dividends and has a correlation of 0.8 with the market. On the other…
Portfolio theory with three assets Estimated covariances between three stocks are shown in the following table. The expected returns for the three stocks are 11% (A), 9% (B) and 4% (C), respectively A B C A 0.0225 0.0030 -0.0009 B 0.0030 0.0100 -0.0012 -0.0009 -0.0012 0.0036 Note: All returns and covariance matrix are on an annual basis A) Calculate the expected return and standard deviation of the portfolio if it is equally split between A and B B) Calculate the expected return and standard deviation of the portfolio if it is equally split between A,B and C C) Compare the portfolio in answer (a) and the portfolio in answer (b) using the sharpe ratio. Assuming the current annual risk-free rate is 3%
An investor has the following expectations on the performance of Stock X and Stock Y: Probability Scenario Returns (%) Stock X Stock Y 0.20 Good 50% 14% 0.50 Average 30% 6% 0.30 Bad -10% 6% Estimate the portfolio return with an allocation of 70:30 (X:Y) in the two stocks. Select one: O a. 11.92% ОБ. 14.80% O. 32.00% O d. 17.68% Following Question 18, estimate the correlation coefficient between the two stocks. Select one: O a. 0.63 оъ. 0.46 O c. 0.84 O d. 0.76 Following Question 18 and 19, estimate the portfolio standard deviation with an allocation of 40:60 in these two stocks. Select one: O a. 9.6% о ь. 10.8% O c. 10.2% O d. 9.2%
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What is the standard deviation of a portfolio formed of shares A and B? Asset (A) E(R₂) = 9% SDA = 4% W₁ = 0.4 Select one: A. 4.99% B. 4.56% C. 3.68% D. 5.16 Asset (B) E(R₂) = 11% SDB = 6% WB = 0.6 COVA, B = 0.0011
Data are given as follows: (all the values are in percent) Month Average portfolio return market Average Average risk-free return rate 2.464 3.360 0.090 16.130 2.348 0.090 0.771 -1.484 0.120 -6.386 -2.437 0.120 15 -2.861 1.965 0.090 16 -7.673 2.806 0.120 0.805 -5.721 0.150 -0.372 0.327 0.150 1.508 2.464 0.150 10 2.003 2.250 0.150 11 -4.723 6.639 0.210 12 Calculate Treynor measure, Sharpe ratio, tracking error, information ratio, and hit ratio. Then, evaluate the performance of this portfolio. 2.383 4.874 0.210
20. Assume there are two bonds in a bond portfolio. Bond 1 has a price of R₁, a Macaulay duration of MacD₁, a dollar duration of SD, and a modified duration of ModD, and a weight of w, in the portfolio. Bond 2 has a price of P₂, a Macaulay duration of MacD₂, a dollar duration of SD₂ and a modified duration of ModD, and a weight of w, in the portfolio. Assuming the yield curve is flat, and that the portfolio has a Macaulay duration of MacD Portfolio a dollar duration of SD Porfolio and a modified duration of ModD which of the following statements is incorrect? A. MacD Portfolio =W₁MacD₁+w₂MacD₂ B. ModD Portfolio = W₂ModD₂ +w₂ModD₂ C. SD Portfolio = ₁ SD + ₂D₂ $D₂ + $D₂ D. ModDp R₁ + P₂ dP dP₂ + dy dy Portfolio E. ModD Portfolio = = P₁+P₂ Portfolio
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.

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