Consider the following information: Rate of Return If State Ocurs State of Probability of State of Economy Stock A Stock B Stock C Economy .56 Boom .06 .14 34 Bust .44 .15 .05 -.04 a. What is the expected return on an equally weighted portfolio of these three stocks? (Do not round Intermedlate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b. What is the variance of a portfolio invested 22 percent each in A and B and 56 percent in C? (Do not round Intermedlate calculations and round your answer to 6 decimal places, e.g., 161616.)

Consider the following information: Rate of Return If State Ocurs State of Probability of State of Economy Stock A Stock B Stock C Economy .56 Boom .06 .14 34 Bust .44 .15 .05 -.04 a. What is the expected return on an equally weighted portfolio of these three stocks? (Do not round Intermedlate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b. What is the variance of a portfolio invested 22 percent each in A and B and 56 percent in C? (Do not round Intermedlate calculations and round your answer to 6 decimal places, e.g., 161616.)

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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In the CAPM world, if Sharpe ratio of the market portfolio is 1.25 and the correlation coefficient between stock i and the market portfolio is 0.60, what is the stock i's Sharpe ratio? → (1) 0.25; (2) 0.45; (3) 0.50; (4) 0.75; (5) 0.80; (6) 1.00; (7) 1.25; 8 (8) 1.50; (9) 1.75; (10) 2.05;
Consider the following information about three stocks: State of Economy Probability of State of Economy Rate of Return If State Occurs Stock A Stock B Stock C Boom.25.13.29.60 Normal .60.08.11.13 Bust.15.02.18-.45 a-1. If your portfolio is invested 40 percent each in A and B and 20 percent in C, what is the portfolio expected return? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) a-2. What is the variance? (Do not round intermediate calculations and round your answer to 5 decimal places, e.g., .16161.) a-3. What is the standard deviation? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b. If the expected T-bill rate is 3.70 percent, what is the expected risk premium on the portfolio? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e .g., 32.16.) c-1. If the expected inflation rate is 3.30…
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.
Vinay
Consider the following two scenarios for the economy and the expected returns in each scenario for the market portfolio, and aggressive stock A, and a defensive stock D. A. Find the beta of each stock B. If each scenario is equally likely, find the expected rate of return on the market portfolio and on each stock. C. If the T-bill rate is 4%, what does the CAPM say about the fair expected rate of return on the two stocks? D. Which stock seems to be a better buy on the basis of your answers to (a) through (c).
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?
Consider the following probability distribution for stocks A and B: State Probability Return on Stock A Return on Stock B 1 0.10 10% 8% 2 0.20 13% 7% 3 0.20 12% 6% 4 0.30 14% 9% 5 0.20 15% 8% The coefficient of correlation between A and B is:
Assume that using the Security Market Line (SML) the required rate of return (RA) on stock A is foundto be half of the required return (RB) on stock B. The risk-free rate (Rf) is one-fourth of the requiredreturn on A. Return on market portfolio is denoted by RM. Find the ratio of beta of A (A) to beta of B(B). d) Assume that the short-term risk-free rate is 3%, the market index S&P500 is expected to payreturns of 15% with the standard deviation equal to 20%. Asset A pays on average 5%, has standarddeviation equal to 20% and is NOT correlated with the S&P500. Asset B pays on average 8%, also hasstandard deviation equal to 20% and has correlation of 0.5 with the S&P500. Determine whetherasset A and B are overvalued or undervalued, and explain why. (Hint: Beta of asset i (??) =???????, where ??,?? are standard deviations of asset i and marketportfolio, ??? is the correlation between asset i and the market portfolio)Question 2. Foreign exchange marketsStatoil, the national…
Vijay
What would the effect of the failure in the ratio measurement?
Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA = 3.6% + 1.2RM + eA RB = -1.6% + 1.5RM + eB OM = 16%; R-squarea = 0.25; R-square; = 0.15 What is the covariance between each stock and the market index? (Calculate using numbers in decimal form, not percentages. Do not round your intermediate calculations. Round your answers to 3 decimal places.) Covariance Stock A Stock B
The beta coefficient A stock’s contribution to the market risk of a well-diversified portfolio is called Q1. ______risk. It can be measured by a metric called the beta coefficient, which calculates the degree to which a stock moves with the movements in the market. Q2. Based on your understanding of the beta coefficient, indicate whether each statement in the following table is true or false: Statement True False Over time, a stock with a beta of 1.0 produces a return that goes up and down with a 1:1 relationship with the return on the market. Beta measures the volatility in stock movements relative to the market. A stock that is more volatile than the market will have a beta of less than 1.0. Q1. Option 1 Unsystematic or Option 2 Relevant. Please provide true or false answers. Thank you!

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