Essentials Of Investments
11th Edition
ISBN: 9781260013924
Author: Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher: Mcgraw-hill Education,
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Textbook Question
Chapter 6, Problem 13PS
Stocks offer an expected
a. In light of the apparent inferiority of gold to stocks with respect, to both mean return and volatility, would anyone hold gold? If so, demonstrate graphically why one would do so.
b. How would you answer (a) if the correlation coefficient between gold and stocks were 1? Draw a graph illustrating why one would or would not hold gold.
c. Could these expected returns, standard deviations, and correlation represent an equilibrium for the security market?
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You have also decided that you have a risk-aversion (A) of 4.(a) What is the expected return for each of the securities?(b) What is the volatility of each security return?(c) What is the covariance between stock and bond returns?(d) If you combine stocks and bills as an investment, what is your optimal combination? What is your expected return? What is yourportfolio’s volatility?(e) If you combine bonds and bills, what is your optimal combination?What is your expected return? What is your portfolio’s volatility?(f) If you combine stocks and bonds, what is your optimal combination?What is your expected return? What is your portfolio’s volatility?(g) If you combine all three assets in your portfolio, what is your optimal combination? What is your expected return? What is yourportfolio’s volatility?
Suppose that many stocks are traded in the market and that it is possible to borrow at the risk-free rate, rƒ. The characteristics of two
of the stocks are as follows:
Correlation = -1
Stock
A
B
Rate of return
Required:
a. Calculate the expected rate of return on this risk-free portfolio? (Hint: Can a particular stock portfolio be formed to create a
"synthetic" risk-free asset?) (Round your answer to 2 decimal places.)
Yes
No
X Answer is not complete.
Expected
Return
9%
13%
%
Standard
Deviation
45%
55%
b. Could the equilibrium rƒ be greater than rate of return?
1. What should be the risk premium and return on a stock with a Beta of zero under the Capital Asset Pricing Model (CAPM)? What about the risk premium and return on a stock with a Beta of 1?
2. In a world of certainty, investors will always invest in the asset with the highest return. In the real world, investors hold a diversified portfolio of securities. Why is this the case?
3. Theoretically, returns on stocks or assets can be negatively correlated. In the real world, however, we usually encounter only positive correlations. Why may this be the case?
Chapter 6 Solutions
Essentials Of Investments
Ch. 6.5 - Prob. 1EQCh. 6.5 - In light of each firm’s exposure to the financial...Ch. 6 - Prob. 1PSCh. 6 - When adding a risky asset to a portfolio of many...Ch. 6 - A portfolio’s expected return is 12%, its standard...Ch. 6 - An investor ponders various allocations to the...Ch. 6 - The standard deviation of the market-index...Ch. 6 - Suppose that the returns on the stock fund...Ch. 6 - Use the rate-of-return data for the stock and bond...Ch. 6 - Prob. 8PS
Ch. 6 - Prob. 9PSCh. 6 - Prob. 10PSCh. 6 - Prob. 11PSCh. 6 - Prob. 12PSCh. 6 - Stocks offer an expected rate of return of 10%...Ch. 6 - Suppose that many stocks are traded in the market...Ch. 6 - You can find a spreadsheet containing annual...Ch. 6 - Assume expected returns and standard deviations...Ch. 6 - Prob. 17PSCh. 6 - Prob. 18PSCh. 6 - A project has a 0.7 chance of doubling your...Ch. 6 - Investors expect the market rate of return this...Ch. 6 - The following figure shows plots of monthly rates...Ch. 6 - Prob. 22PSCh. 6 - Prob. 23PSCh. 6 - Prob. 25CCh. 6 - Prob. 1CPCh. 6 - Prob. 2CPCh. 6 - Abigail Grace has a $900,000 fully diversified...Ch. 6 - Prob. 4CPCh. 6 - Prob. 5CPCh. 6 - Prob. 6CPCh. 6 - Prob. 7CPCh. 6 - Prob. 1WMCh. 6 - Following the procedures in the previous question,...Ch. 6 - Prob. 3WMCh. 6 - Prob. 4WM
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- Suppose that many stocks are traded in the market and that it is possible to borrow at the risk-free rate, rf. The characteristics of two of the stocks are as follows: Correlation = -1 Stock Rate of return B O Yes ● No Expected Return Required: a. Calculate the expected rate of return on this risk-free portfolio? (Hint: Can a particular stock portfolio be formed to create a "synthetic" risk-free asset?) (Round your answer to 2 decimal places.) % 6% 12% Standard Deviation 25% 75% b. Could the equilibrium rf be greater than rate of return?arrow_forwardLet Ps be the current market price of a share of common stock of Company X. Let P; be the "fundamental" value of a share of common stock of Company X. Let r be the long-run average annual compounded rate of return on common stocks, ånd b be the long-run annual compounded rate of return on corporate bonds. Finally, let ɛ be a random error term. Which of the following equations best characterizes the Efficient Markets Hypothesis? Select one: O a. Ps = Pf + r+ ɛ O b. Ps = Pf + ɛ- b O c. Ps = (Pf + ɛ) x (r – b) O d. Ps = Pf + ɛarrow_forwardThis is a general question and no specific numbers are required: You have two stocks and you have calculated the return on the relevant riskless assets for this market. What would the reasons be for choosing one asset over the other and explain why?arrow_forward
- Which of the following is true for testing stock price predictability? Select one: a. All of the options O b. When considering an RW without drift and the Cowles-Jones test, the probability of observing an increase or a decrease in price is no longer 0.5 O c. None of the options O d. The test statistic of the Volatility Ratio test is enough for us to be able to draw significant conclusions O e. The Box-Pierce g-test is based on the fact that for RW3 processes there should be no autocorrelation between the returnsarrow_forward1. A stock with a beta of zero would be expected to have a rate of return equal to a. the risk-free rate b. the market risk premium c. zero d. the market rate of return 2. If an individual stock's beta is higher than 1.0, that stock is: a. riskier than the market. b. always the most attractive to investors. c. less risky than the market. d. exactly as risky as the market. 3. If Brewer Corporation's bonds are currently yielding 8% in the marketplace, why is the firm's cost of debt lower? a. Market interest rates have increased. b. Additional debt can be issued more cheaply than the original debt. c. Interest is deductible for tax purposes. d. There should be no difference; cost of debt is the same as the bonds' market yield.arrow_forwardQ1: Explain the meaning and significance of a stock's beta coefficient. Illustrate your explanation by drawing, on one graph, the characteristic lines for stocks with low, average, and high risk. (Hint: Let your three characteristic lines intersect at r_i=r_m=6%, the assumed risk-free rate.) Q2: Define the following terms, using graphs or equations to illustrate your answers where feasible. a) Risk, stand-alone risk b) Expected rate of return c) standard deviation, variance d) risk premium for stock i, market risk premium e) Capital Asset Pricing Model (CAPM) f) Expected return on a portfolio g) market risk, diversifiable risk h) Beta i) Security Market Line; SML equation j) Slope of SML and its relationship to risk aversion. Q3. Differentiate between (a) stand-alone risk and (b) risk in a portfolio context. How are they measured, and are both concepts relevant for investors? Q4. Can an investor eliminate market risk from a portfolio of common stocks? How many stocks must a portfolio…arrow_forward
- b. Consider the following information about three stocks: Probability of State of i. ii. iii. iv. State of Economy V. Boom Recession Economy 0.40 0.60 From the information given, you are required to answer the following questions. Compute the Standard Deviation for each stock. Compute the Coefficient Variation for each stock. Based on your computation in part (i) and (ii), which stock is riskier? Explain your answer. Rate of Return if State Occurs Stock Hang Stock Hang Jebat 7% 13% Tuah 28% (5%) Stock Hang Kasturi 15% 3% Assume that you have RM14,000 invested in Stock Hang Jebat whose beta is 1.5, RM19,000 invested in Stock Hang Kasturi whose beta is 2.5 and RM17,000 invested in Stock Hang Tuah whose beta is 1.6. Determine what is the beta of this portfolio. Based on your answer in part (iv), compute the required rate of return for this portfolio, given that the market rate of return is 13% and risk-free rate is 5%.arrow_forwardAssume you wish to evaluate the risk and return behaviors associated with various combinations of two stocks, Alpha Software and Beta Electronics, under three possible degrees of correlation: perfect positive, uncorrelated, and perfect negative. The average return and standard deviation for each stock appears here: a. If the returns of assets Alpha and Beta are perfectly positively correlated (correlation coefficient = + 1), over what range would the average return on portfolios of these stocks vary? In other words, what is the highest and lowest average return that different combinations of these stocks could achieve? What is the minimum and maximum standard deviation that portfolios Alpha and Beta could achieve? b. If the returns of assets Alpha and Beta are uncorrelated (correlation coefficient = 0), over what range would the average return on portfolios of these stocks vary? What is the standard deviation of a portfolio that invests 75% in Alpha and 25% in Beta? How does this…arrow_forwardAssume that you are considering investing in two risky assets, namely PKX and XIY, with the following probability distribution. Assume that short selling is allowed. Stock РКХ XIY State of the world Probability Return (%) Return (%) 1 0.25 18 2 0.30 5 -3 3 0.20 12 15 4 0.10 4 12 0.15 6 1 1. Calculate the expected return and risk for each of these assets. Interpret. 2. Consider a portfolio that contains PKX and XIY. Note that XIY comprises 30% of the portfolio. What is the expected return and risk of this portfolio? 3. How will your answer in (2) change if XIY comprises 20% of the portfolio only? Comment on your findings.arrow_forward
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