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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Using the data in the following table, and the fact that the correlation of A and B is 0.69, calculate the volatility (standard deviation) of a portfolio that is 60% invested in stock A and 40% invested in stock B. Year 2008 2009 2010 2011 2012 2013 Realized Returns Stock A - 2% 11% 8% - 1% 1% 11% Stock B 18% 33% 6% - 8% - 6% 30% n The standard deviation of the portfolio is %. (Round to two decimal places.)
A small market consists of three stocks, A, B, and C., and their financial data and projection are presented below. Assume CAPM holds. Stock Number of shares Stock Price Beta A 750 33 1.2 B 220 51 0.8 C 450 19 1.4 Economic condition Probability A B C Boom 20% 20% 22% 23% Normal 50% 15% 10% 12% Recession 30% 2% 5% 7% Find: a) the expected return and standard deviation on this portfolio. b) the expected return on the market using portfolio beta if Rf=5%.
Consider the following states of outcomes, probabilities, and expected returns on only stocks three stocks in your portfolio; X, Y, and Z. State Probability X Y Z Boom 0.1 16% 10% 22% Semi-Boom 0.15 14% 8% 18% Normal 0.55 10% 6% 14% Mild-Recession ?? 5% 4% -10% Full-Recession 0.05 -3% 2% -12% a. What is the expected return of the portfolio if $25,000 is invested in X, $35,000 in Y, and $30,000 invested in stock Z? b. What are the standard deviations of stocks X, Y, and Z?
Given the information below, compute the expected return and standard deviation for the two stocks: Economic condition Probability Stock A Return Recession Normal Boom 0.30 0.55 0.15 6% 7% 11% Stock B Return -20% 13% 33%
None
Directions: Compute the total returns, the average of returns, and the standard deviation of the following stocks: 1) 2) EGRH Inc. MP, Ltd. STOCK RETURN AVERAGE OF YEA AVERAGE OF RETURNS (x) YEAR STOCK RETURN PRICE (x₁) PRICE RETU Jan-2021 Po Feb-2021 P8.6 Jan-2021 PO. Feb-2021 PO.090 Mar-2021 P0.097 Apr-2021 PO.189 May-2021 PO.164 Mar-2021 P9.14 Apr-2021 P13.30 May-2021 P13 Jun-2021 P60 Jul-2021 16.94 Jun-2021 P0.495 Jul-2021 PO.28 Aug-2021 PO Sep-2021 90 Aug-202 P13.70 Sep-2 P14.88 Oct-2021 0.375 Oct 21 P15.30 Nov-20 PO.325 N2021 P14.30 Dec-2 PO.330 ec-2021 P15.52 3) SD (8) GSM Inc. STOCK YEAR PRICE Jan-2021 P57.70 Feb-2021 P52.90 Mar-2021 P50.95 Apr-2021 P58.25 May-2021 P74.05 Jun-2021 P94.75 Jul-2021 P85.00 Aug-2021 P105.00 Sep-2021 P114.00 Oct-2021 | P101.00 Nov-2021 P100.40 Dec-2021 P113.80 SD (8) = RETURN (x₁) -x)² AVERAGE OF RETURNS (x-x)² (x) SD (8) = ACEE, Inc. YEAR STOCK RETURN PRICE (x₁) Jan-2021 P13.56 Feb-2021 P20.80 Mar-2021 P22.50 Apr-2021 P18.90 May-2021 P17.00…
If an average share of stock is expected to yield a return of 7.2% and comparable Treasury bonds yield a return of 3.6%, what is the market risk premium? Give your answer in percentage terms to one decimal place аccuracy.
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)?
2. Based on the following information calculate the expected return and standard deviation for the two stocks: State of economy Probability of state of economy Rate of return if state occur Stock A Stock B -.17 .12 .29 Recession Normal Boom 3. How should the price of a stock change when it goes ex-dividend? 4. Suppose stock in Gamma Air Freight has a beta of 1.25. the market risk premium is 7% and the risk free rate is 6%. Alpha's last dividend was $2 per share and the dividend is expected to grow at 8% indefinitely. The stock currently sells for $30. What is Gamma's cost of equity capital? .05 .65 .30 .05 .08 .13
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 %
1. The following table presents the expected returns of three stocks and the risk free rate. в 4% Stock A 8% Expected return What is the expected return and risk on an equally weighted portfolio composed of these four assets? The standard deviation of stock A is 10% and the covariance between A and B equals 0.0045. The correlation matrix between A, B and C is: 14% 4% Correl B A 1 0.3 0.7 B 0.3 0.5 0.5 Combining stocks A and C in a portfolio in equal proportions will result in a variance of 1.95%. 0.7

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