Foundations of Finance (9th Edition) (Pearson Series in Finance)
9th Edition
ISBN: 9780134083285
Author: Arthur J. Keown, John D. Martin, J. William Petty
Publisher: PEARSON
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Chapter 6, Problem 6MC
Summary Introduction
To determine: Plot the two-stock portfolio holding period returns for Company W and Company T with S&P.
Summary Introduction
To discuss: The ways the graph compares to the graphs for individual stocks.
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The following table represents the rate of returns of two stocks in different
economic conditions along with their probabilities (the data are also uploaded on
moodle)
RATES OF RETURN ON STOCKS
EXPECTED
ECONOMIC
PROBABILITY
STOCK A
STOCK B
CONDITIONS
RECESSION
0.55
-0.04
-0.02
STABLE
0.35
0.25
0.30
EXPANDING
0.10
0.15
0.20
Answer the following by using mathematical calculations:
a) Calculate the expected rate of return for each stock respectively. Explain
what the expected value implies.
b) Calculate the standard deviation for each stock respectively. Explain what
the standard deviation implies.
c) If you were an investor in which stock you were going to invest? Justify
your answer.
d) Calculate the covariance between Stock A and stock B. Discuss.
e) Calculate the expected return and the standard deviation of the portfolio
consisting 40% in stock A and 60% in stock B.
f) Discuss the risk and return associated with investing
i All of your funds in stock A
ii. All of your funds in stock…
You are given the following information regarding prices for a sample of stocks.a. Construct a price-weighted index for these three stocks, and compute the percentagechange in the index for the period from T to T + 1. b. Construct a value-weighted index for these three stocks, and compute the percentagechange in the index for the period from T to T + 1. c. Briefly discuss the difference in the results for the two indexes.
Chapter 6 Solutions
Foundations of Finance (9th Edition) (Pearson Series in Finance)
Ch. 6 - a. What is meant by the investors required rate of...Ch. 6 - Prob. 2RQCh. 6 - What is a beta? How is it used to calculate r, the...Ch. 6 - Prob. 4RQCh. 6 - Prob. 5RQCh. 6 - Prob. 6RQCh. 6 - Prob. 7RQCh. 6 - What effect will diversifying your portfolio have...Ch. 6 - (Expected return and risk) Universal Corporation...Ch. 6 - (Average expected return and risk) Given the...
Ch. 6 - (Expected rate of return and risk) Carter, Inc. is...Ch. 6 - (Expected rate of return and risk) Summerville,...Ch. 6 - Prob. 5SPCh. 6 - Prob. 9SPCh. 6 - Prob. 10SPCh. 6 - Prob. 11SPCh. 6 - Prob. 12SPCh. 6 - (Capital asset pricing model) Using the CAPM,...Ch. 6 - Prob. 16SPCh. 6 - Prob. 17SPCh. 6 - a. Compute an appropriate rate of return for Intel...Ch. 6 - (Estimating beta) From the graph in the right...Ch. 6 - Prob. 20SPCh. 6 - Prob. 21SPCh. 6 - (Capital asset pricing model) The expected return...Ch. 6 - (Portfolio beta and security market line) You own...Ch. 6 - (Portfolio beta) Assume you have the following...Ch. 6 - Prob. 1MCCh. 6 - Prob. 2MCCh. 6 - Prob. 3MCCh. 6 - Prob. 4MCCh. 6 - Prob. 5MCCh. 6 - Prob. 6MCCh. 6 - Prob. 7MCCh. 6 - Prob. 8MCCh. 6 - Prob. 9MCCh. 6 - Prob. 10MCCh. 6 - Prob. 11MC
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- 2.) Consider the expected returns, standard deviations, Sharpe ratios, and correlation matrix for three stocks: Correlation Matrix Pij Stock E(Ri) Stock 1 Stock 2 Stock 3 Sharpe 1 0.13 0.21 1.00 0.10 0.35 0.476 2 0.16 0.22 0.10 1.00 0.72 0.591 3 0.24 0.59 0.35 0.72 1.00 0.356 Use the Solver function in Excel to find the portfolio weights, portfolio expected return E(rp), portfolio standard deviation σp, and Sharpe ratio for the following optimal portfolios: P a.) The risky asset portfolio that minimizes standard deviation for a target expected return of 18%. Do not constrain short-sales. b.) The risky asset portfolio that maximizes the Sharpe ratio, short sales. Assume a risk-free rate of 3%. E(rp)-rf бр . Do not constrainarrow_forwardUsing the data in the following table,, estimate the: a. Average return and volatility for each stock. b. Covariance between the stocks. c. Correlation between these two stocks. a. Estimate the average return and volatility for each stock. The average return of stock Ais %. (Round to two decimal places.) Data table (Click on the following icon in order to copy its contents into a spreadsheet.) Year 2010 2011 2013 Stock A - 5% 17% - 6% Stock B 29% 21% - 1% 2012 7% 4% 2014 1% - 15% 2015 13% 20%arrow_forwardUsing the data in the following table,, estimate the: a. Average return and volatility for each stock. b. Covariance between the stocks. c. Correlation between these two stocks.arrow_forward
- Stocks A and B have the following returns: (Click on the following icon o in order to copy its contents into a spreadsheet.) Stock A Stock B 1 0.09 0.04 0.06 0.03 3. 0.12 0.06 4 - 0.04 0.02 5 0.09 -0.02 a. What are the expected returns of the two stocks? b. What are the standard deviations of the returns of the two stocks? c. If their correlation is 0.47, what is the expected return and standard deviation of a portfolio of 51% stock A and 49% stock B? a. What are the expected returns of the two stocks? The expected return for stock A is (Round to three decimal places.)arrow_forwardSuppose 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 Barrow_forwardStocks A and B have the following returns: (Click on the folowing icon a in order to copy its contents into a spreadsheet.) Stock A Stock B 0.08 0.06 0.15 0.05 0.04 0.05 0.01 -0.01 0.09 -0.03 a. What are the expected roturns of the two stocks? b. What are the standard deviations of the returns of the two stocks? c. If their correlation is 048, what is the expected return and standard deviation of a portfolio of 75% stock A and 25% stock B? a. What are the expected returns of the two stocks? The expected return for stock A is (Round to three decimal places.)arrow_forward
- Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA = 3.6% + 1.20RM + eA RB = -1.6% + 1.50RM + eB OM = 16%; R-squareд = 0.25; R-squarep = 0.15 What is the covariance between each stock and the market index? Note: Calculate using numbers in decimal form, not percentages. For example use "20" for calculation if standard deviation is provided as 20%. Do not round your intermediate calculations. Round your answers to nearest whole number. Stock A Stock B Covariancearrow_forwardA price-weighted index such as the DJIA is a geometric mean of current stock prices. a. True b. Falsearrow_forwardHelp me get the solution pleasearrow_forward
- Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA= 3.2% + 1.10RM + eA RB = -1.4 % + 1.25RM + eB OM= 30%; R-squareд = 0.28; R-squareg = 0.12 What is the covariance between each stock and the market index? Note: Calculate using numbers in decimal form, not percentages. For example use "20" for calculation if standard deviation is provided as 20%. Do not round your intermediate calculations. Round your answers to nearest whole number. Answer is complete but not entirely correct. Stock A Stock B Covariance 93 x 101 xarrow_forwardVinayarrow_forwardStocks A and B have the following returns: Stock A 0.09 0.04 0.13 -0.04 0.09 1 2 3 4 5 (Click on the following icon in order to copy its contents into a spreadsheet.) Stock B 0.04 0.03 0.04 0.01 -0.04 a. What are the expected returns of the two stocks? b. What are the standard deviations of the returns of the two stocks? c. If their correlation is 0.48, what is the expected return and standard deviation of a portfolio of 75% stock A and 25% stock B? a. What are the expected returns of the two stocks? The expected return for stock A is. (Round to three decimal places.)arrow_forward
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