A stock has a beta of 1.22 and an expected return of 12 percent. A risk-free asset currently earns 3.9 percent. a. What is the expected return on a portfolio that is equally invested in the two assets? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. b. If a portfolio of the two assets has a beta of .82, what are the portfolio weights? Note: Do not round intermediate calculations and round your answers to 4 decimal places, e.g., .1616. c. If a portfolio of the two assets has an expected return of 11.2 percent, what is its beta? Note: Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.

A stock has a beta of 1.22 and an expected return of 12 percent. A risk-free asset currently earns 3.9 percent. a. What is the expected return on a portfolio that is equally invested in the two assets? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. b. If a portfolio of the two assets has a beta of .82, what are the portfolio weights? Note: Do not round intermediate calculations and round your answers to 4 decimal places, e.g., .1616. c. If a portfolio of the two assets has an expected return of 11.2 percent, what is its beta? Note: Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.

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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D5)
11.9
If you plot the relationship between portfolio expected return and portfolio beta, what is the slope of the line that results? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) | Slope of the line %
You own a portfolio equally invested in a risk-free asset and two stocks. One of has risky as has a beta of 1.6, and the total portfolios is equally as risky as the market. What's the beta of the second stock?
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
Data: S0 = 102; X = 115; 1 + r = 1.1. The two possibilities for ST are 146 and 84. Required: The range of S is 62 while that of P is 31 across the two states. What is the hedge ratio of the put? Form a portfolio of one share of stock and two puts. What is the (nonrandom) payoff to this portfolio? What is the present value of the portfolio? Given that the stock currently is selling at 102, calculate the put value.
You own a portfolio equally invested in a risk-free asset and two stocks. One of the stocks has a beta of 1.27 and the total portfolio is equally as risky as the market. What must the beta be for the other stock in your portfolio? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Beta
You own a portfolio equally invested in a risk-free asset and two stocks. If one of the stocks has a beta of 1.23 and the total portfolio is equally as risky as the market, what must the beta be for the other stock in your portfolio? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Stock beta
Assume CAPM holds. What is the correlation between an efficient portfolio and market portfolio? a. 1 b.-1 c.0 d. Not enough information Assume CAPM holds. The risk-free rate is 1% and the expected return on the portfolio is 5%. What is the expected return of a stock with a beta of 2? 70%
Portfolio theory with two assets E(R1)=0.15 E(01)= 0.10 W1=0.5 E(R2)=0.20 E(02) = 0.20 W2=0.5 Calculate the expected return and the standard deviation of the two portfolios if r1,2 = 0.4 and -0.60 respectively.
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.
Suppose that many stocks are traded in the market and that it is possible to borrow at the risk-free rate, rƒ. The characteristics of two of the stocks are as follows: Correlation = -1 Stock A B Rate of return Required: a. Calculate the expected rate of return on this risk-free portfolio? (Hint: Can a particular stock portfolio be formed to create a "synthetic" risk-free asset?) (Round your answer to 2 decimal places.) Yes No X Answer is not complete. Expected Return 9% 13% % Standard Deviation 45% 55% b. Could the equilibrium rƒ be greater than rate of return?

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