6. The data below describe a three-stock financial market that satisfies the single-index model. The standarddeviation of the market index portfolio is 25%.StockBetaA1.0B0.2C1.7Capitalization$3,000$1,940$1,360Mean Excess Return10%2%17%a. What is the mean excess return of the index portfolio?b. What is the covariance between stock A and stock B?Standard Deviation40%30%50%c. What is the covariance between stock B and the index?d. Break down the variance of stock B into its systematic and firm-specific components.

Covariance: Covariance represents a tool of statistics employed to determine the association…

6. The data below describe a three-stock financial market that satisfies the single-index model. The standard deviation of the market index portfolio is 25%. Stock Beta A 1.0 B 0.2 C 1.7 Capitalization $3,000 $1,940 $1,360 Mean Excess Return Standard Deviation 10% 2% 17% 40% 30% 50% a. What is the mean excess return of the index portfolio? b. What is the covariance between stock A and stock B? c. What is the covariance between stock B and the index? d. Break down the variance of stock B into its systematic and firm-specific components.

6. The data below describe a three-stock financial market that satisfies the single-index model. The standard deviation of the market index portfolio is 25%. Stock Beta A 1.0 B 0.2 C 1.7 Capitalization $3,000 $1,940 $1,360 Mean Excess Return Standard Deviation 10% 2% 17% 40% 30% 50% a. What is the mean excess return of the index portfolio? b. What is the covariance between stock A and stock B? c. What is the covariance between stock B and the index? d. Break down the variance of stock B into its systematic and firm-specific components.

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

See similar textbooks

Related questions

Q: Consider the following information about two stocks (D and E) and two common risk factors (1 and 2)…

A: Fama-French factor models are financial models used to explain and predict stock returns based on…

Q: urrent assets of NorthPole.com at 1.7 million, 3rd quarter $1.5 million ermanent current assets is:…

A: Current assets are those assets which can be used to pay for current laibilties that means short…

Q: 3. Consider three stocks A, B and C and a market index M with the following prices: Year то T1 T2…

A: Note: This question has several sub-parts. The first three have been answered below

Q: d) the expected return and the standard deviation of the portfolio where the wealth allocated to the…

A: Data given: Scenario Probability Stock A Stock B I 8% -50% 19% II 23% 6% -1% III 69% 15%…

Q: Mansukh

A: The beta of A is 0.45Beta of B is 1The SD of A is 0.28SD of B is 0.21SD of market is 16%.Weight of A…

Q: 5 Consider the following information: Probability of Rate of Return if State Occurs Economy…

A: The expected return is the amount of return expected from the investment. Standard deviation is a…

Q: Question 1 Consider the three stocks in the following table. P, represents price at time t, and Q,…

A: The rate of return refers to the minimum return earned by the investor while investing in the stocks…

Q: Suppose that the index model for stocks A and B is estimated from excess returns with the following…

A: ParticularsStock AStock BBeta0.700.90R-square0.200.15σM22%

Q: Consider the three stocks in the following table. Pt represents price at time t splits two-for-one…

A: Price weighted index:A price-weighted index is a type of stock market index where the individual…

Q: a. What are the standard deviations of stocks A and B? b. Suppose that we were to construct a…

A: Portfolio beta is a measure of an investment portfolio's overall volatility or systematic risk…

Q: Assume the following data for a stock: Risk - free rate market) == 1.5; beta (size) = 0.3; beta…

A: To calculate the expected return on the stock using the Fama-French three-factor model, we need to…

Q: Consider the following simplified APT model: Factor Market Expected Risk Premium (%) Interest rate…

A: FactorExpected risk premiumMarket6.20%Interest rate-0.80%Yield spread4.80%MarketInterest rateYield…

Q: What is the expected return for the following portfolio? (State your answer in percent with two…

A: Expected return of portfolio comprising of multiple different securities is computed as…

Q: What is the expected return for the following portfolio? (State your answer in percent with two…

A: The question is related to Expected Return of Portfolio. The expected return of Portfolio is…

Q: robability

A: Expected return can be defined as the return which is obtained by multiplying the potential outcome…

Q: The following information is given with respect to stock A: Market return Probability 0.1 Scenario 1…

A: In finance, risk and return are essential ideas. The unpredictability or fluctuation of investment…

Q: Assume the following information concerning a two-stock portfolio: Stock X Stock Y Please calculate…

A: The formula to calculate correlation coefficient isCorrelation coefficient=Covariance between stock…

Q: Consider the three stocks in the following table. P, represents price at time t and of represents…

A: StocksPrice at time =0Shares outstandingPrice at time= 1Outstanding shares at 1Price at time…

Q: invest 40% in A and 60% in B, what would be the return standard deviation of your portfolio? Enter…

A: First we need to find the standard deviation of individual stocks and their correlation co-efficient…

Q: Consider the following probability distribution for stocks A and B: State Return on Stock A 1 10% 2…

A: Correlation is a statistical measure that is used in finance to estimate the degree to which two…

Q: Suppose that the index model for stocks A and B is estimated from excess returns with the following…

A: Stock A:Beta = 1.1R-square = 0.29Stock B:Beta = 1.2R-square = 0.14σM = 29%

Q: Based on the table below, what is the expected return of the stock? Probability 0.20 0.10 0.40 0.20…

A: The expected return of the stock refers to the profit that the stock provides on average to the…

Q: Percentages need to be entered in decimal format, for instance 3% would be entered as .03. That is…

A: Note: Return of the stock is taken what was provided in the previous question. Please adjust the…

Q: А. Compute the standard deviation of each stock. В. What is the covariance and correlation…

A: The mathematical measure of market uncertainty is the standard deviation. In stocks the standard…

Q: Suppose that the index model for stocks A and B is estimated from excess returns with the following…

A: ParticularsStock AStock BBeta1.201.50R-square0.250.15σM16%Weight0.700.30

Q: Which one of the following stocks is correctly priced if the risk-free rate of return is 3.0 percent…

A: In this question, we are required to determine the stock which is correctly priced.

Q: Suppose that the index model for stocks A and B is estimated from excess returns with the following…

A: ParticularsStock AStock BBeta1.201.5R-square0.250.15σM16%

Q: The index model has been estimated from the excess returns for stock A with the following results:…

A: RA12.00%+1.55Rm+eAσM24.00%σ(eA)18.50%

Q: 8. (Portfolio of two stocks) The following spreadsheet presents data for stocks A and B. A B C 1 2…

A: Step 1:The return of portfolio is the weighted average return of Stock A and Stock B. Standard…

Q: Consider the following information about three stocks: State of Economy Probability of State of…

A: Weights:Stock A: 40%Stock B: 40%Stock C: 20%

Question

6. The data below describe a three-stock financial market that satisfies the single-index model. The standard
deviation of the market index portfolio is 25%.
Stock
Beta
A
1.0
B
0.2
C
1.7
Capitalization
$3,000
$1,940
$1,360
Mean Excess Return
10%
2%
17%
a. What is the mean excess return of the index portfolio?
b. What is the covariance between stock A and stock B?
Standard Deviation
40%
30%
50%
c. What is the covariance between stock B and the index?
d. Break down the variance of stock B into its systematic and firm-specific components.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Step 7

Step 8

Step 9

Trending now

This is a popular solution!

Step by step

Solved in 9 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, finance and related others by exploring similar questions and additional content below.

Similar questions

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 B C Po 82 42 84 Rate of return 00 100 Divisor 200 200 P1 87 37 94 01 100 200 200 % P2 87 Required: a. Calculate the rate of return on a price-weighted index of the three stocks for the first period (t = 0 to t= 1). (Do not round intermediate calculations. Round your answer to 2 decimal places.) 370 47 92 100 200 400 b. What will be the divisor for the price-weighted index in year 2? (Do not round intermediate calculations. Round your answer to 2 decimal places.) c. Calculate the rate of return of the price-weighted index for the second period (t=1 to t=2).
Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA = 2.60% + 0.90RM + eA RB = -2.00% + 1.20RM + eB OM = 26%; R-squarea = 0.21; R-squareg = 0.12 Assume you create portfolio P with investment proportions of 0.70 in A and 0.30 in B.
Vinay
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. ABC Po 86 46 92 le 100 200 200 Rate of return P1 91 41 102 Q1 100 1.89 % 200 200 P2 91 41 51 Required: a. Calculate the rate of return on a price-weighted index of the three stocks for the first period (t = 0 to t = 1). (Do not round intermediate calculations. Round your answer to 2 decimal places.) 22 100 200 400
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%.
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 (t=2). Po A 100 B 60 C 120 Qo 100 200 200 P₁ 105 55 130 Rate of return b. An equally weighted index. Rate of return Q₁ 100 200 200 % P2 % 105 55 65 Calculate the first-period rates of return on the following indexes of the three stocks (t = O to t = 1): (Do not round intermediate calculations. Round your answers to 2 decimal places.) a. A market value-weighted index. Q2 100 200 400
Review the following market information: Current Stock Market Return 11.25% Current T-Bill Price $979.43 Historic T-Bill Average Return 2.80% Historic Stock Market Average Return 8.10% Stock Beta 1.23 What is the required return (rounded to two places)?
1. The following table presents the expected returns of three stocks and the risk free rate. в 4% Stock A 8% Expected return What is the expected return and risk on an equally weighted portfolio composed of these four assets? The standard deviation of stock A is 10% and the covariance between A and B equals 0.0045. The correlation matrix between A, B and C is: 14% 4% Correl B A 1 0.3 0.7 B 0.3 0.5 0.5 Combining stocks A and C in a portfolio in equal proportions will result in a variance of 1.95%. 0.7
2. The following table shows the constituent stocks of a hypothetical index. Stock B splits two-for-one during the period. Stock A B C Beginning of Period Price ($) Shares 30 75 36 2,000 500 1,200 End of Period Price ($) 26 40 32 Shares 2,000 1,000 1,200 a. Calculate the returns on both the price-weighted index and the market value- weighted index of three stocks over the period. b. If you just buy 5,000 shares of stock C for $36, hold for 1 year, collect $8 dividend and sell it at $32. Calculate your total return.
2. Consider the following expected returns, volatilities, and correlations: Expected Standard Stock Return Deviation Correlation with Vital Correlation with Mital Correlation with Pital Vital 14% 6% 1.0 -1.0 0.0 Mital 44% 24% -1.0 1.0 0.7 Pital 23% 14% 0.0 0.7 1.0 a. Imagine a portfolio comprising solely of Vital and Mital. What portion of should be allocated to Vital stock to ensure a risk-free investment? your investment b. What is the portfolio's volatility when holding a $10,000 long position in Pital and a $2000 short position in Mital? wwwww c. In a market, there are two securities, Artis and Brotis. Currently, the price of Artis stands at £50. Looking ahead, the price of Artis next year will be £40 during a recession, £55 in normal economic times, and £60 in an expanding economy. The probabilities associated with recession, normal times, and expansion are 0.1, 0.8, and 0.1, respectively. Artis does not pay dividends and has a correlation of 0.8 with the market. On the other…
Consider the three stocks in the following table. Pt represents price at time t, Qt represents shares outstanding at time t. Stock C splits two for one in the second period from t=1 to t=2. Calculate the rate of return on a price-weighted index consisting of the three stocks for the first period from t=0 to t=1. Answer in percentage. Answer options: 0.00% 2.49% 6.06% 8.95% 1.30%
Scenario 2: The following table shows the returns for the market index (Market - M) and the returns for two stocks (Asset X & Y) under three scenarios. Assume each scenario has an equal chance of occurring (33%). Bad Okay Good Market - M-5% 5% 15% Asset - X -2%-3% 25% Asset - Y -4%-6% 30% What is the correlation of "Asset - Y" to "Market M"? enter your number to two decimal places without the percent sign. Example 23% enter as .23.

SEE MORE QUESTIONS

Recommended textbooks for you

Essentials Of Investments

Finance

ISBN:

9781260013924

Author:

Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:

Mcgraw-hill Education,

FUNDAMENTALS OF CORPORATE FINANCE

Finance

ISBN:

9781260013962

Author:

BREALEY

Publisher:

RENT MCG

Financial Management: Theory & Practice

Finance

ISBN:

9781337909730

Author:

Brigham

Publisher:

Cengage

Foundations Of Finance

Finance

ISBN:

9780134897264

Author:

KEOWN, Arthur J., Martin, John D., PETTY, J. William

Publisher:

Pearson,

Fundamentals of Financial Management (MindTap Cou…

Finance

ISBN:

9781337395250

Author:

Eugene F. Brigham, Joel F. Houston

Publisher:

Cengage Learning

Corporate Finance (The Mcgraw-hill/Irwin Series i…

Finance

ISBN:

9780077861759

Author:

Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Jeffrey Jaffe, Bradford D Jordan Professor

Publisher:

McGraw-Hill Education

Essentials Of Investments

Finance

ISBN:

9781260013924

Author:

Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:

Mcgraw-hill Education,

FUNDAMENTALS OF CORPORATE FINANCE

Finance

ISBN:

9781260013962

Author:

BREALEY

Publisher:

RENT MCG

Financial Management: Theory & Practice

Finance

ISBN:

9781337909730

Author:

Brigham

Publisher:

Cengage

Foundations Of Finance

Finance

ISBN:

9780134897264

Author:

KEOWN, Arthur J., Martin, John D., PETTY, J. William

Publisher:

Pearson,

Fundamentals of Financial Management (MindTap Cou…

Finance

ISBN:

9781337395250

Author:

Eugene F. Brigham, Joel F. Houston

Publisher:

Cengage Learning

Corporate Finance (The Mcgraw-hill/Irwin Series i…

Finance

ISBN:

9780077861759

Author:

Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Jeffrey Jaffe, Bradford D Jordan Professor

Publisher:

McGraw-Hill Education

SEE MORE TEXTBOOKS