The following is the expected returns and probability information for three stocks and the market. State of Probability the of State Economy Occurring Boom Normal Recession Return Risk Beta 0.3 0.5 0.2 Stock A 10% 7% -8% 4.90% 6.58% Associated Rate of Return Stock B 35% 15% -25% 13.00% 20.88% Stock Stock Market C -8% 5% 15% 3.10% 8.19% -.7682 M 18% 10% -10% 2.119 a. Calculate the expected risk and return of the market portfolio. Calculate the beta of stock A. b. Create a portfolio where you invest $30,000 in stock A, $40,000 in stock B and $30,000 in stock C. Calculate the expected return and the risk associated with this portfolio. c. Calculate the beta of the portfolio you created in part b. d. Using only stock B and stock C, create a portfolio that is expected to earn a 25% rate of return. Calculate the expected risk associated with this portfolio. What is the beta of this portfolio?

The following is the expected returns and probability information for three stocks and the market. State of Probability the of State Economy Occurring Boom Normal Recession Return Risk Beta 0.3 0.5 0.2 Stock A 10% 7% -8% 4.90% 6.58% Associated Rate of Return Stock B 35% 15% -25% 13.00% 20.88% Stock Stock Market C -8% 5% 15% 3.10% 8.19% -.7682 M 18% 10% -10% 2.119 a. Calculate the expected risk and return of the market portfolio. Calculate the beta of stock A. b. Create a portfolio where you invest $30,000 in stock A, $40,000 in stock B and $30,000 in stock C. Calculate the expected return and the risk associated with this portfolio. c. Calculate the beta of the portfolio you created in part b. d. Using only stock B and stock C, create a portfolio that is expected to earn a 25% rate of return. Calculate the expected risk associated with this portfolio. What is the beta of this portfolio?

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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SECURITY MARKET LINE You are given the following historical data on market returns, r, and the returns on Stocks A and B, r, and rp: 8A-2 M' A Year 1 29.00% 29.00% 20.00% 2 15.20 15.20 13.10 (10.00) (10.00) 0.50 4 3.30 3.30 7.15 5 23.00 23.00 17.00 31.70 31.70 21.35
Consider the following information: State of Probability of Economy State of Economy Boom Bust .58 .42 Rate of Return if State Occurs Variance Stock A .07 .16 Stock B 15 .06 a. What is the expected return on an equally weighted portfolio of these three stocks? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Expected return 12.87% % Stock C 33 -.06 b. What is the variance of a portfolio invested 20 percent each in A and B and 60 percent in C? (Do not round intermediate calculations and round your answer to 6 decimal places, e.g., 32.161616.) 1.29% *
Review the following market information: Current Stock Market Return 11.25% Current T-Bill Price $979.43 Historic T-Bill Average Return 2.80% Historic Stock Market Average Return 8.10% Stock Beta 1.23 What is the required return (rounded to two places)?
Historical Returns: Expected and Required Rates of Return You have observed the following returns over time: Assume that the risk-free rate is 5% and the market risk premium is 4%. a. What are the betas of Stocks X and Y? Do not round intermediate calculations. Round your answers to two decimal places. % Year 2017 2018 2019 2020 2021 % Stock X 12% 17 -13 2 22 % Stock Y 15% 7 -4 3 12 Stock X: Stock Y: b. What are the required rates of return on Stocks X and Y? Do not round intermediate calculations. Round your answers to two decimal places. Stock X: Stock Y: c. What is the required rate of return on a portfolio consisting of 80% of Stock X and 20% of Stock Y? Do not round intermediate calculations. Round your answer to two decimal places. Market 13% 12 -10 2 15
Listed below is the return probability distribution associated with the stocks of XYZ Company and the market portfolio under different states of the economy: State Recession Normal Boom 0.00452 O 0.00552 0.00652 Probability O 0.00752 0.4 0.3 0.3 XYZ Return What is the covariance between XYZ return and Market return? -3% 14% 20% Market Return 2% 8% 16%
Consider the following information: Rate of return State of Economy Probability Stock A Stock B Recession 0.30 -40% 6% Normal 0.50 18% 4% Воom 0.20 142% 2% [Note: take full decimal places in the middle steps and round your FINAL answer to 2 decimal places (i.e. S1.23 or 1.23%)] (a) Calculate the expected return for the two Stocks A and B respectively. (in %) (b) Calculate the standard deviation for the two Stocks A and B respectively. (in %) (c) If you have $2 million to invest in a stock portfolio and your goal is to create a portfolio with an expected return of 16.92%, how much money will you invest in Stock A and Stock B respectively? (d) Based on your answer in part (c), calculate the standard deviation for the portfolio. (in %) (e) If enough stocks (i.e. 100 randomly selected stocks) had been included in the portfolio, what happen to the standard deviation for the portfolio? Explain. [within 100 words]
Consider the following information: State Probability Stock A Stock B Stock C Boom 0.32 0.17 -0.11 -0.06 Bust 0.68 -0.03 -0.01 0.23 What is the expected return of a portfolio that has invested $16,157 in Stock A, $19,654 in Stock B, and $9,659 in Stock C? (Hint: calculate weights of each stock first). Enter the answer with 4 decimals (e.g. 0.1234).
Accounting Use the following information: Stock A B Good state 12% 17% Bad state 0% -1% Assume there is 60% probability that the good state occurs and 40% chance the bad state occurs. What is the expected return of a portfolio that is 9% invested in stock A and 1-9% invested in B? (Please use 5 decimal places, this should be written in percentage return, so an answer of 23.143% should be written at .23143)
11.2. Below are the expected returns from both stocks based on the probability of economic conditions. It is desired to create a portfolio from two stocks. It is decided to invest 30% in stock A and 70% in stock B. Stock A State (i) p(i) E(R) Recession 0.50 -40% Neutral 0.40 15% Boom 0.10 30% 1.00 Stock B State (i) p(i) E(R) Recession 0.5 40% Neutral 0.40 15% Вoom 0.1 -20% 1.00 d- Find the expected return and standard deviation of this portfolio? e- If you were a portfolio manager, what type of investors do you recommend this portfolio and why? f- Explain why the beta of the market is always equal to 1 and beta of a treasury bill equal to 0.
Consider the following data State of Nature Prob. Stock A Return Boom 0.3 16.00% Normal 0.6 14.20% Recession 0.1 8.00% What is the expected return for Stock A? Group of answer choices 14.12% 12.14% 15.12% 14.00%
calculate the expected return Rate of return State of Economy Probability Stock A Stock B Recession 0.15 1.00% -0.25 Normal 0.55 9.00% 0.15 Boom 0.30 14.00% 0.38
A stock has an average return of 0%. On an average day it moves 1% in absolute value, the average up move is 1% and the average down move is -1%. If returns are normal distributed what is the daily volatility of the stock. A. 0% B. 1% C. 1.25% D. 2%

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