Q2(a) There are two stocks in the market, Stock A and Stock B. The price of Stock A today is GHe 79. The price of Stock A next year will be GH¢64 if the economy is in a recession, GH¢ 87 if the economy is normal, and GH¢97 if the economy is expanding. The probabilities of recession, normal times, and expansion are 0.4, 0.4, and 0.2, respectively. Stock A pays no dividends and has a correlation of 0.7 with the market portfolio. Stock B has an expected return of 14 percent, a standard deviation of 25 percent, a correlation with the market portfolio of 0.24, and a correlation with Stock A of 0.36. The market portfolio has a standard deviation of 18 percent. Assume the CAPM holds. i. If you are a typical, risk-averse investor with a well-diversified portfolio, which stock would you prefer? Why? ii. What are the expected return and standard deviation of a portfolio consisting of 60 percent of Stock A and 40 percent of Stock B ? 111. What is the beta of the portfolio in part (ii)? Q2(b) Carefully reflect on the Capital Asset Pricing Model and Arbitrage Pricing Theory. Briefly explain two features common to them.

Q2(a) There are two stocks in the market, Stock A and Stock B. The price of Stock A today is GHe 79. The price of Stock A next year will be GH¢64 if the economy is in a recession, GH¢ 87 if the economy is normal, and GH¢97 if the economy is expanding. The probabilities of recession, normal times, and expansion are 0.4, 0.4, and 0.2, respectively. Stock A pays no dividends and has a correlation of 0.7 with the market portfolio. Stock B has an expected return of 14 percent, a standard deviation of 25 percent, a correlation with the market portfolio of 0.24, and a correlation with Stock A of 0.36. The market portfolio has a standard deviation of 18 percent. Assume the CAPM holds. i. If you are a typical, risk-averse investor with a well-diversified portfolio, which stock would you prefer? Why? ii. What are the expected return and standard deviation of a portfolio consisting of 60 percent of Stock A and 40 percent of Stock B ? 111. What is the beta of the portfolio in part (ii)? Q2(b) Carefully reflect on the Capital Asset Pricing Model and Arbitrage Pricing Theory. Briefly explain two features common to them.

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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Consider the following scenario analysis: Rate of Return Stocks Scenario Bonds Probability 0.20 Recession -6% 18% Normal economy 0.50 19% 11% Boom 0.30 26% 8% a. Is it reasonable to assume that Treasury bonds will provide higher returns in recessions than in booms? O No Ⓒ Yes b. Calculate the expected rate of return and standard deviation for each investment. (Do not round intermediate calculations. Enter your answers as a percent rounded to 1 decimal place.) Expected Rate of Standard Deviation Return Stocks 16.1 % % Bonds 9.7 % % c. Which investment would you prefer? Bond Which investment would you prefer? Stock
Consider the rate of return of stocks ABC and XYZ. Year rABC rXYZ 1 22 % 34 % 2 12 12 3 14 18 4 7 0 5 1 −8 1. If you were equally likely to earn a return of 22%, 12%, 14%, 7%, or 1%, in each year (these are the five annual returns for stock ABC), what would be your expected rate of return? (Do not round intermediate calculations.) 2. What if the five possible outcomes were those of stock XYZ? 3. Given your answers to (d) and (e), which measure of average return, arithmetic or geometric, appears more useful for predicting future performance? A. Arithmetic B. Geometric
Suppose your expectations regarding the stock market are as follows: State of the Economy Boom Normal growth Recession Probability 0.3 0.6 0.1 Mean Standard deviation HPR 24.90 % % 41% 24 E (r) E-1P(s)r (s) Var (r) = o² = s-1p(s)[r (s) - E(r)]² SD (r) = o = √Var (r) Required: Use above equations to compute the mean and standard deviation of the HPR on stocks. (Do not round intermediate calculation Round your answers to 2 decimal places.) -18 K
Consider the following information: Economy Recession Normal Boom Probability of State of Economy .21 .56 .23 Rate of Return if State Occurs Stock A Stock B a. Expected return of A Expected return of B b. Standard deviation of A Standard deviation of B .015 .095 .250 a. Calculate the expected return for the two stocks. Note: Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16. -.36 .26 .49 b. Calculate the standard deviation for the two stocks. Note: Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16. % % %
a) If the dividend yield is 1.40% annualized, the interest rate is -0.10% annualized, and the index is trading at 28, 144 today, what is the expected price of a 6-month forward? 28, 144e(-0.001 -0.0140)*0.50 = 27,961.66 b ) The 6-month forward is currently quoted at 28,000. Using the information above and the grid below, show how you would arbitrage this index profitably. Be sure to indicate whether each transaction is long or short ( buy or sell) and to include (+) and (-) signs on your cash flows. Use 0 decimals (whole numbers only) in your answers. Transaction Time 0 cash flows Time t cash flows Totals:
Q 19) Beangrinder Corp. has an expected rate of return on equity next year (ROE1) equal to 12% and a reinvestment rate next year (RIR1), equal to 50%. Beangrinder Corp.'s equity beta is equal to 1 and the company is expected to have an earnings per share next year (EPS1), equal to $3. The long-run risk-free rate is equal to 1% while the stock market risk premium is forecast to equal 7%. What is Beangrinder Corp.'s intrinsic equity value per share equal to: Options - $100 $25 $50 $75
Consider the following information: Probability of State of Economy .20 .60 .20 Economy Recession Normal Boom Rate of Return if State Occurs Stock A Stock B .035 .115 .290 a. Calculate the expected return for the two stocks. Note: Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16. b. Calculate the standard deviation for the two stocks. Note: Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16. a. Expected return of A Expected return of B b. Standard deviation of A Standard deviation of B do do do do % % % % -.40 .30 .53
You have been given the following information: State of Economy Recession Normal Boom Probability of State of Economy .17 .58 .25 Rate of Return if State Occurs a. Stock A expected return a. Stock B expected return b. Stock A standard deviation b. Stock B standard deviation Stock A .08 .11 16 a. Calculate the expected return for the two stocks. (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) b. Calculate the standard deviation for the two stocks. (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) Stock B -.12 .17 .34 % % % %
Suppose your expectations regarding the stock market are as follows: State of the Economy Boom Normal growth Recession E (r) = Σs=1 P(s)r(s) Var (r) = ² = Probability 0.3 0.4 0.3 Σs ₁ p (s)[r (s)- E (r)]² HPR 44% 14 -16 SD (r) = 0 = Var (r) Required: Use above equations to compute the mean and standard deviation of the HPR on stocks. (Do not round intermediate calculations. Round your answers to 2 decimal places.)
A stock is currently selling for $90.60 per share in the market. If the stock is forecasted to pay a dividend of $10.57 per share in one year and investors require a rate of return of 15.85 percent per year, what constant growth rate must apply to this security? Group of answer choices 15.85% 4.18% 15.81% 11.67% 5.02% please answer fast i give upvote.
Please answer Question 8 & 9 8.On March 24, 2020, the Dow Jones Industrial Average opened at $18,591.93 and closed at $20,704.91. What was the daily return that day, and what was the effective annual rate return (in percent) of the stock market that day?Daily Return: __________% EAR:_________ % 9. Financial analysts forecast GDY Inc.’s growth for the future to be 8%. GDY's recent annual dividend was $6.00. What is the value of GDY stock when the required return is 11%?Stock Value: $___________________
3. The following table gives actual data on the U.S. CPI and the S&P 500 total return index (SPTRI). CPI SPTRI 12/3 1/2011 226 2159 12/3 1/2012 230 2504 12/3 1/2013 233 3316 12/3 1/2014 235 3769 А. Use this data to compute the average annual nominal return and real return for two consecutive 1- year holding period returns of a sto ck portfolio that matches the S&P 500 total return index. (for example you could compute 2011-12 and 2012-2013) Please use continuous compounding. Express your final answer in percentage. В. Now compute the average annual real return to a 2-year holding -period portfolio of your two consecutive years. С. You have a friend who has been studying the stock market for the last few years and is about to invest $10,000 in a highly diversified portfolio. After 10 years, your friend expects to have over $66,000 in real dollars. You recall from your favorite report in Econ 135 that the average 10 year holding period return is about 7% with a standard deviation of 6%.…

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