The probabilities of different states of economy occurring and the holding period retum (HPR) of the Stock A and Bond B at different states of economy are shown below. State of Economy Boom Normal Recession Probability of the State of Economy 35% 45% 20% HPR of Stock A HPR of Bond B 20% -5% 12% 3% -15% 10% Other information: Standard deviation of the market portfolio is 10% 1. Calculate the standard deviation of Stock A. 2. Calculate the standard deviation of Bond B. 3. Calculate the correlation coefficient of Stock A and Bond B. 4. Suppose an investor invests $1.2 million in Stock A and $800,000 in Bond B. Calculate the standard deviation of the portfolio. 5. Out of the total variance of Stock A, 49% is systematic variance (explained variance) and 51% is non-systematic variance (unexplained variance). Calculate the beta of Stock A.

The probabilities of different states of economy occurring and the holding period retum (HPR) of the Stock A and Bond B at different states of economy are shown below. State of Economy Boom Normal Recession Probability of the State of Economy 35% 45% 20% HPR of Stock A HPR of Bond B 20% -5% 12% 3% -15% 10% Other information: Standard deviation of the market portfolio is 10% 1. Calculate the standard deviation of Stock A. 2. Calculate the standard deviation of Bond B. 3. Calculate the correlation coefficient of Stock A and Bond B. 4. Suppose an investor invests $1.2 million in Stock A and $800,000 in Bond B. Calculate the standard deviation of the portfolio. 5. Out of the total variance of Stock A, 49% is systematic variance (explained variance) and 51% is non-systematic variance (unexplained variance). Calculate the beta of Stock A.

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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Below are standard deviations of four stocks: M, N, O and P. Stock M N O P Standard deviation 12% 20% 15% 30% 1. Which stock is the riskest? 2. Based on the risk-return tradeoff, which stock should provide the highest 3. If stock O provides a higher return than stock P, what should happen?
Suppose your expectations regarding the stock price are as follows: State of the Market Boom Normal growth Recession Probability Ending Price 0.21 $ 140 0.30 110 0.49 80 Use the equations E (r) = Ep (s) r(s) and o² = Ep (s) [r(s) - E(r)]² to compute the mean and standard deviation of the HPR on S S HPR (including dividends) 50.5% 18.0 -12.5 stocks. Note: Do not round intermediate calculations. Round your answers to 2 decimal places. Mean Standard deviation Answer is complete but not entirely correct. 13.65 % 20.48 %
Consider the following information on Stocks I and II: State of Economy Recession Normal Irrational exuberance. Probability of State) of Econony 15 .70 .15 a. Stock I beta Stock Il beta. b. Stock I standard deviation Stock Il standard deviation Rate of Return if State Occurs. Stock I Stock II 05 18 07 The market risk premium is 7 percent, and the risk-free rate is 3.5 percent. a. Calculate the beta of each stock. Note: Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16. b. Calculate the standard deviation of each stock. c. More systematic nsk d. More unsystematic risk e. "Riskier stock Note: Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16. c. Which stock has the most systematic risk? d. Which one has the most unsystematic risk? e. Which stock is "riskler"? -.21 .10 39 % %
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%
Current Attempt in Progress To achieve a zero standard deviation for a portfolio, calculate the weights of stock A and stock B, assuming the correlation coefficient is-1. Use the following information. (Round intermediate calculations and final answers to 2 decimal places, e.g. 31.21%.) State of the economy Probability of Expected return on Expected return on occurrence stock A in this state stock B in this state High growth 30% 41.5% 56.5% Moderate growth 25% 21.5% 26.5% Recession 45% -11.5% -21.5% Weight of stock A % Weight of stock B %
Baghiben
Read the information for 3 stocks X, Y and Z below. Rate of return when state occurs (For Stock X, Y, and Z) State of Economy Probability of State Stock X Stock Y Stock Z Boom 0.3 0.4 0.45 0.6 Normal 0.5 0.2 0.15 0.08 Recession 0.2 0 -0.3 -0.4 If your portfolio includes 35 percent of X, 40 percent of Y and 25 percent of Z, answerthe following questions: (a) Calculate the portfolio expected return.(b) Calculate the variance and the standard deviation of the portfolio (c) If the expected T-bill rate is 3.80 percent, calculate the expected risk premiumon the portfolio.
Refer to the given (annual data to compute the stock's beta if the market standard deviation is 0.22 and the market and the stock share +0.5 correlation. The current market price of the stock is $50 per share. Probability End-of-period prices .15 35 .10 42 Ć .30 50 .20 55 .25 60
Portfolio theory with three assets Estimated covariances between three stocks are shown in the following table. The expected returns for the three stocks are 11% (A), 9% (B) and 4% (C), respectively A B C A 0.0225 0.0030 -0.0009 B 0.0030 0.0100 -0.0012 -0.0009 -0.0012 0.0036 Note: All returns and covariance matrix are on an annual basis A) Calculate the expected return and standard deviation of the portfolio if it is equally split between A and B B) Calculate the expected return and standard deviation of the portfolio if it is equally split between A,B and C C) Compare the portfolio in answer (a) and the portfolio in answer (b) using the sharpe ratio. Assuming the current annual risk-free rate is 3%
Using the data in the following table, and the fact that the correlation of A and B is 0.48, calculate the volatility (standard deviation) of a portfolio that is 70% invested in stock A and 30% invested in stock B. (Click on the following icon in order to copy its contents into a spreadsheet.) Year 2008 2009 2010 2011 2012 2013 Realized Returns Stock A - 10% 20% 5% - 5% 2% 9% Stock B 21% 30% 7% - 3% - 8% 25% The standard deviation of the portfolio is %. (Round to two decimal places.)
Suppose that the average stock has a volatility of 58%, and that the correlation between pairs of stocks is 18%. Estimate the volatility of an equally weighted portfolio with: a. 1 stock b. 30 stocks c. 1,000 stocks
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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