Suppose that all stocks can be grouped into two mutually exclusive portfolios (with each stock appearing in only one portfolio): growth stocks and value stocks. Assume that these two portfolios are equal in size (market value), the correlation of their returns is equal to 0.6, and the portfolios have the following characteristics: Expected Volatility Return Value Stocks 12% 14% Growth Stocks 15% 24% Assume the risk free rate is 3.5%. The expected return of the the portfolio (which is 40% invested in the value stock) is %. (Round to two decimal places) The Sharpe ratio for the above portfolio is %. (Round to two decimal places)

Suppose that all stocks can be grouped into two mutually exclusive portfolios (with each stock appearing in only one portfolio): growth stocks and value stocks. Assume that these two portfolios are equal in size (market value), the correlation of their returns is equal to 0.6, and the portfolios have the following characteristics: Expected Volatility Return Value Stocks 12% 14% Growth Stocks 15% 24% Assume the risk free rate is 3.5%. The expected return of the the portfolio (which is 40% invested in the value stock) is %. (Round to two decimal places) The Sharpe ratio for the above portfolio is %. (Round to two decimal places)

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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Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA = 2.60% + 0.90RM + eA RB = -2.00% + 1.20RM + eB OM = 26%; R-squarea = 0.21; R-squareg = 0.12 Assume you create portfolio P with investment proportions of 0.70 in A and 0.30 in B.
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.
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: Stock Expected Return Standard Deviation A 8% 55% B 4% 45% Correlation = −1 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.) b. Could the equilibrium rƒ be greater than rate of return?
The Capital Asset Pricing Model (CAPM) says that the risk premium on a stock is equal to its beta times the market risk premium. ..... True False
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
Suppose you group all the stocks in the world into mutually exclusive portfolios (each stock is in only one portfolio): growth stocks and value stocks. Suppose the two portfolios have equal size (in terms of total value), a correlation of 0.5, and the following characteristics: . The risk free-rate is 3%. a. What is the expected return and volatility of the market portfolio (which is a 50-50 combination of the two portfolios)? b. Calculate the Sharpe ratios of the value stock, growth stock, and market portfolio. c. Does the CAPM hold in this economy? (Hint: Is the market portfolio efficient?) a. What is the expected return and volatility of the market portfolio (which is a 50-50 combination of the two portfolios)? The expected return of the market portfolio is %. (Round to two decimal place.) Data table (Click on the following icon in order to copy its contents into a spreadsheet.) Value Stocks Growth Stocks Expected Return 15% 18% Volatility 13% 26% X Clear all Check answ
Stock A has an expected return of 13.52 percent. Stock B has an expected return of 9.24 percent. Assuming the Capital Asset Pricing Model holds, and Stock A's beta is greater than Stock B's beta by 0.32, what is the expected market risk premium (in percent)? Answer to two decimals
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.
Consider two types of assets: market portfolio (M) and stock A. The expected return is 8% and standard deviation of the market portfolio is 15%. The risk-free rate is 2%. The standard deviation of market portfolio returns is 15%. The standard deviation of stock A is 30%, and the beta coefficient is 1. Draw the capital market line and show the position of stock A.
Considering the attached set of securities and portfolio returns: Find the combination of the weights that minimizes CV of the portfolio. How does the CV of the optimal portfolio compare with the CVs of its constituents?

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