Foundations Of Finance
10th Edition
ISBN: 9780134897264
Author: KEOWN, Arthur J., Martin, John D., PETTY, J. William
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…
Consider the three stocks in the following table. Pt represents price at time t, and Qt represents shares outstanding at time t. Stock C splits two for one in the last period.
a. A market-value-weighted index. rate of returnb. An equally weighted index. rate of return
Ahmed observed the following data of two stocks as shown in the below table. Which stock do you advise Ahmed to select according to the required rate of return? And explain why? (picture)
Chapter 6 Solutions
Foundations Of 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 - Prob. 14SPCh. 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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- Using 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_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_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_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_forwardA price-weighted index such as the DJIA is a geometric mean of current stock prices. a. True b. Falsearrow_forward
- Using 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 A is %. (Round to two decimal places.) Data table (Click on the following icon in order to copy its contents into a spreadsheet.) Year Stock A 2010 2011 2012 2013 2014 2015 - 1% 6% 2% -5% 4% 6% Stock B 20% 9% 8% -3% - 5% 21% Print Done ☑ Cleararrow_forwardSuppose 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_forwardConsider the below graph: E(R₁) E(RM) R₁ stocks M O stocks O What is the slope of the graph? If the historical return of an individual stock is lying the slope then the stock is undervalued or overvalued?arrow_forward
- a. Calculate the expected return for Stock media Prima and Stock Astro 2. Calculate the standard deviation for Stock media Prima and Stock Astro 3. Calculate the covariance and correlation of coefficient for the above stock.arrow_forwardWhen finding the covariance, should 2 stocks be used or can it be calculated using 1 stock and the market returns?arrow_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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