Under the current market conditions Bond 1 has a price of 90 and a Mccauley duration of 10, and Bond 2 has a price of 110 and Macauley duration of 15. A portfolio is created with a combination of face amount F₁ of Bond 1 and F2 of Bond 2. The combined face amount of the portfolio is F1+F2= 100, and the Macauley duration of the portfolio is 12.5. Set up the equations for finding the portfolio value X. (a) 15X=9F₁ + 16.5(100-F₁), X= .9F₁+1.1(100-F₁) (b) 12.5X = 9F₁ +15(100-F₁), X = .9F₁+1.1(100-F₁) (c) 12.5X = 9F₁ + 16.5(100-F₁), X = .9F₁+1.1(100-F₁) (d) 12.5X = 10Fi + 16.5(100-F1), X = .9F₁ + 1.1(100-F₁) (e) none of these

Under the current market conditions Bond 1 has a price of 90 and a Mccauley duration of 10, and Bond 2 has a price of 110 and Macauley duration of 15. A portfolio is created with a combination of face amount F₁ of Bond 1 and F2 of Bond 2. The combined face amount of the portfolio is F1+F2= 100, and the Macauley duration of the portfolio is 12.5. Set up the equations for finding the portfolio value X. (a) 15X=9F₁ + 16.5(100-F₁), X= .9F₁+1.1(100-F₁) (b) 12.5X = 9F₁ +15(100-F₁), X = .9F₁+1.1(100-F₁) (c) 12.5X = 9F₁ + 16.5(100-F₁), X = .9F₁+1.1(100-F₁) (d) 12.5X = 10Fi + 16.5(100-F1), X = .9F₁ + 1.1(100-F₁) (e) none of these

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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An investor has a portfolio of two assets A and B. The details are shown in the below table. Portfolio Details Asset Expectedreturn Standarddeviation Covariance (A, B) Expected Portfolio Return A 0.06 0.5 0.12 0.1 B 0.08 0.8 Which one of the following statements is NOT correct? a. The portfolio weight in asset A is -100%. b. The correlation of asset A and B’s returns is 0.3. c. The investor can benefit from a fall in the price of asset A. d. The variance of the portfolio is 2.33. e. The order of short selling is borrowing, buying, selling, and returning.
Consider a portfolio consisting of the following three stocks: an expected return of 8%. The risk-free rate is 3%. a. Compute the beta and expected return of each stock. ▪ The volatility of the market portfolio is 10% and it has b. Using your answer from part a, calculate the expected return of the portfolio. c. What is the beta of the portfolio? d. Using your answer from part c, calculate the expected return of the portfolio and verify that it matches your answer to part b.
Asset A has a standard deviation of 0.17, and asset B has a standard deviation of 0.52. Assets A and B have a correlation coefficient of 0.44. What is the standard deviation of a portfolio consisting with a weight of 0.40 in asset A, a weight of 0.24 in asset B, and the remainder invested in a risk-free asset? Give your answer to four decimal places.
Draw the profit diagram of the portfolio just drawn (and clearly state any assumptions you make). The profit is equal to the difference between the payoff of the portfolio at expiry (maturity) date and the cost of the portfolio. Is the cost of the portfolio positive?
You are given the following information concerning three portfolios, the market portfolio, and the risk-free asset: Op 1.45 1.20 0.75 1.00 Portfolio: X Y Z Market Risk-free Rp 11.00% 10.00 8.10 10.40 5.20 Information ratio Op 33.00% 28.00 18.00 23.00 0 Assume that the tracking error of Portfolio X is 9.10 percent. What is the information ratio for Portfolio X? Note: A negative value should be indicated by a minus sign. Do not round intermediate calculations. Round your answer to 4 decimal places. 02148 0
The beta on risky asset A is 1.8 and the beta on risky asset B is 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 risky assets 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 (ii) the expected return of the portfolio? a None of the above b (i) 0.97 and (ii) 9.82% c (i) 1.23 and (ii) 9.82% d (i) 1.23 and (ii) 11.38% e (i) 0.97 and (ii) 11.38%
Portfolio Suppose rA ~ N (0.05, 0.01), rB ~ N (0.1, 0.04) with pA,B = 0.2 where rA and rB are CCR’s. a) Suppose you construct a portfolio with 50% for A and 50% for B. Find the variance of the portfolio CCR. b) Find the portfolio expected gross return. c) Find the expected portfolio CCR.
You are given the following information concerning three portfolios, the market portfolio, and the risk-free asset: Portfolio Y Z Market Risk-free Rp 16.00% бр 32.00% 15.00 27.00 7.30 17.00 11.30 5.80 22.00 0 Bp 1.90 1.25 0.75 1.00 0 Assume that the tracking error of Portfolio X is 13.40 percent. What is the information ratio for Portfolio X? Note: A negative value should be indicated by a minus sign. Do not round intermediate calculations. Round your answer to 4 decimal places. Information ratio
The following figures show the optimal portfolio choice for two investors with different levels of risk-aversion graphically. Which statement is correct? E[R] 0.3 0.25 0.2 0.15 0.1 0.05 0 0 0.05 0.1 0.15 Figure 1 0.2 0.25 0.3 0.35 o(R) 0.4 0.45 [H]Z 0.3 0.25 0.2 0.15 0.1 0.05 0 0 0.05 0.1 Figure (2) shows an investor that borrows in risk-free rate and invests in the risky asset. Figure (1) shows an investor with a conservative investment behavior. In the optimal point of both figures, the highest indifference curve is tangent to the efficient frontier. In Figure (1), more aggressive investment decision led to a higher Sharpe ratio. 0.15 Figure 2 0.2 0.25 o (R) 0.3 0.35 0.4 0.45
(c)) Discuss the following graphic, which shows the relationship between expected return and portfolio weights. The portfolio is comprised of a debt security D and an equity security E. What would the portfolio strategy be when Wp = 2 and ba WE = -1? 38 (33) -0.5 Expected Return 13% 8% Debt Fund 0 (ebenso) esenicut adol leu@ ledol (loorba (ognerloxel) Ismet tametnl Equity Fund 1.0 0 OC) becida nieu to 2.0 w (stocks) AB -1.0 68 XO.YOUTS RO w (bonds)=1-w (stocks) 15 V10 anollesup Figure 7.3 Portfolio expected return as a function of investment proportions la 21101TO
There are two risky assets and a riskfree asset. The riskfree rate is 0.03. The first risky asset has expected rate of return 0.18 and standard deviation 0.3; the second risky asset 0.09 and 0.2. Their correlation is 0.1. A portfolio on the best feasible CAL has an expected return of 0.12. Then this portfolio's portfolio weight on the first risky asset is 0%. (Enter a percentage number and keep 3 decimal places).
Risk-free rate is 7%, expected return on the market portfolio is 12%. Identify the correct equation for Security Market Line (SML): a. r = 5% + b(7%) b. r = 7% + b (12%) c. r = 7% + b (5%) d. r = 5% + b (12%)

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