You have been given this probability distribution for the Expected Return of Stock and Bond Status of economy Probability rate of Stock return Bond return return 0.25 0.5 0.30 Recession Normal growth Boom -4.5% 5% 15% (iv) What is the expected rate of return of stock and bonds? (v) Compute the standard deviation of stock and bonds returns? vi) Compute the coefficient of variation? -2% 4% 7%

You have been given this probability distribution for the Expected Return of Stock and Bond Status of economy Probability rate of Stock return Bond return return 0.25 0.5 0.30 Recession Normal growth Boom -4.5% 5% 15% (iv) What is the expected rate of return of stock and bonds? (v) Compute the standard deviation of stock and bonds returns? vi) Compute the coefficient of variation? -2% 4% 7%

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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Concept explainers

Treasury Market

On-the-run securities are the most recently issued securities in the market depth and are therefore traded at some premium. The off-the-run securities are the ones issued just before the most recent ones. The on-the-run securities have a lower yield to the investor than the off-the-run securities.

Question

You have been given this probability distribution for the Expected Return of Stock and Bond
Status of economy
Probability rate of
Stock return
Bond return
return
0.25
0.5
0.30
Recession
Normal growth
Boom
-4.5%
5%
15%
(iv) What is the expected rate of return of stock and bonds?
(v) Compute the standard deviation of stock and bonds returns?
(vi) Compute the coefficient of variation?
-2%
4%
7%
(vii) If an investor allocates 60% of asset to stock and remaining to bond, what would be the
investor's portfolio returns and standard deviation?
(viii) Is there any diversification benefit achieved?

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You are comparing Stock A to Stock B. Given the following information, what is the difference in the expected returns of these two securities? State of Economy Probability of State of Economy Rate of Return if State Occurs Stock A Stock B Normal .75 .13 .16 Recession .25 −.05 −.21
Suppose your expectations regarding the stock price are as follows: State of the Market Probability Ending Price HPR (includingdividends) Boom 0.30 $ 140 53.5 % Normal growth 0.28 110 17.5 Recession 0.42 80 −12.0 Use the equations E(r)=Σsp(s)r(s)E(r)=Σsp(s)r(s) and σ2=Σsp(s) [r(s)−E(r)]2σ2=Σsp(s) [r(s)−E(r)]2 to compute the mean and standard deviation of the HPR on stocks. (Do not round intermediate calculations. Round your answers to 2 decimal places.)
Consider the following simplified APT model: Factor Expected Risk Premium Market 6.4% Interest Rate -0.6% Yield Spread 5.1% Factor Risk Exposures Market Interest Rate Yield Spread Stock Stock (b1) (b2) (b3) P 1.0 -2.0 -0.2 P2 1.2 0 0.3 P3 0.3 0.5 1.0 a) Calculate the expected return for the above stocks. Assume risk free rate is 5%. Consider a portfolio with equal…
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Consider the following information: State of Economy Probability of State of Economy Rate of Return if State Occurs Stock A Stock B Recession 0.30 0.05-0.15 Normal 0.55 0.15 0.15 Boom 0.15 0.20 0.35 Calculate the expected return for the two stocks.
What is the standard deviation of the returns on a stock given the following information? State of Economy Probability of State of Economy Rate of Return if State Occurs Boom .08 .171 Normal .70 .076 Recession .22 .017
Suppose your expectations regarding the stock price are as follows: State of the Market Boom Normal growth Recession HPR (including Probability Ending Price dividends 0.20 $ 140 47.5% 0.29 110 13.0 0.51 80 -20.0 Use the equations E (r) = Ep (s) r(s) and o² = Σp (s) [r(s) – E(r)]² to compute the mean and standard deviation of the HPR on stocks. Note: Do not round intermediate calculations. Round your answers to 2 decimal places. Mean Standard deviation % %
1. The distribution of rates of return on XYZ stock is as follows Probability of State Occurring State of XYZ Stock Economy Return (%) Depression 0. 10 -4.5% Recession 0.20 4.4% Normal 0.50 12.0% Вoom 0.20 20.7% а. What is the expected return for the stock? b. What is the standard deviation of returns for the stock?
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What is the standard deviation of the returns on a stock given the following information? Could you please show the work? State of Economy Probability of state of Economy Rate of return if state occurs Boom 0.3000 0.1500 Normal 0.6500 0.1200 Recession 0.0500 0.0600 Average 0.3333 0.1100
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Question No. 5: A rates of return of asset and market have the following distribution: Steady of Economy Probability Stock A Stock B Market Return Boom 0.3 20% 15% 15% Normal 0.4 5 5% 9 Recession 0.3 12 -10% 18 Correlation Coefficient with market -0.3 0.3 Calculate the standard deviation of return for the stock A,B and market. Calculate Beta Coefficient of stock A and B. Calculate the required rate of return of stock A & B, if you know the risk-free return 6% and market return represents expected return of market.

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