Consider the following information on two stocks:P(State) Stock A Stock BBoom20%30%20%Normal50%12%-5%Slow15%4%8%Recession15%-10%10%Calculate the variance of stock A. (Enter percentages as decimals and round to 4 decimals)

Calculate the variance of stock A using Excel as follows:Formula sheet:Note:To understand the…

Answered: Consider the following information on…

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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You are given the returns for the following three stocks: Year Stock A Stock B Stock C 1 14% 13% -19% 14 17 34 14 18 31 4 14 22 14 17 2 Calculate the arithmetic return, geometric return, and standard deviation for each stock. (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.) Stock A Stock B Stock C Arithmetic return % % % Standard deviation % % % Geometric return % % %
Following is information for two stocks: Investment r σ Stock X 8% 10% Stock Y 24% 36% Which stock has the greater relative risk? (show the computation of the relative risk for X & Y.)
From the following informatongiven below , calculate and differentiate between a. Arithmetic Mean, b. Geometric Mean and c. Standard Deviation Partiulard stock A stock B Year 1 13% 19% Year 2 15% 23% Year 3 12% 20% Year 4 11% 18%
You are given the returns for the following three stocks: Year 1 2 3 4 5 Stock A 9.00% 9.00 9.00 9.00 9.00 Stock B 9.00% Arithmetic return Standard deviation Geometric return 14.00 6.00 4.00 12.00 Stock C -24.00% 37.00 16.00 9.00 7.00 Calculate the arithmetic return, geometric return, and standard deviation for each stock. Note: Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. > Answer is complete but not entirely correct. Stock B 9.00 13.60 Stock A 9.00 % 0.00 % 1.76 X % % % 3.70 X % Stock C 9.00 18.38 1.10 % % %
Based on the following information: State of Economy Probability of State of Economy Return on Stock J Return on Stock K Bear .20 -.030.024 Normal .55.128.052 Bull .25 .208.082 a. Calculate the expected return for each of the 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 each of the stocks. ( Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g , 32.16.) c. What is the covariance between the returns of the two stocks? (Do not round intermediate calculations and round your answer to 6 decimal places, e.g., .161616.) d. What is the correlation between the returns of the two stocks? (Do not round intermediate calculations and round your answer to 4 decimal places, e.g., .1616.)
Directions: Compute the returns, average of returns and standard deviation of the following stocks and the PSEI. 1. 2. AGI SM Year Stock Return x x (x--x)² Year Stock Return x x (x-x)² Price Price 30/1/2014 27.100 30/1/2014 704.500 28/2/2014 30.000 28/2/2014 694.000 31/3/2014 28.500 31/3/2014 705.000 30/4/2014 31.150 30/4/2014 725.000 30/5/2014 29.650 30/5/2014 786.000 30/6/2014 29.100 30/6/2014 816.000 31/7/2014 26.350 31/7/2014 797.000 29/8/2014 24.600 29/8/2014 772.000 30/9/2014 26.000 30/9/2014 803.500 31/10/2014 25.300 31/10/2014 783.500 28/11/2014 24.800 28/11/2014 804.500 29/12/2014 22.550 29/12/2014 815.000 PSEI Year Stock Return x X (x-X)? 30/6/2014 6,844.31 Price 31/7/2014 6,864.82 30/1/2014 6,041.19 29/8/2014 7,050.89 3. 28/2/2014 6,424.99 30/9/2014 7,283.07 31/10/2014 7,215.73 31/3/2014 6,428.71 28/11/2014 7,294.38 30/4/2014 6,707.91 29/12/2014 7,230.57 30/5/2014 6,647.65
You are given the returns for the following three stocks: Stock B Stock C Stock A 14.00% 14.00% -19.00% 14.00 14.00 34.00 14.00 22.00 37.00 14.00 14.00 14.00 4.00 Year 1 2 3 4 5 7.00 13.00 Calculate the arithmetic return, geometric return, and standard deviation for each stock. Note: Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. Arithmetic return Standard deviation Geometric return Stock A 14.01 % 0.00 % 14.01 % Stock B 14.00 % 14.01 % Stock C 14.00 % 14.02 %
Suppose you are given the following information about 2 stocks, what is the return standard deviation of a portfolio weighted 55% in stock A and 45% in stock B? E(RA)=16% E(RB)=8% σA=22% σB=12% σA,B=−0.003696 Enter rate in decimal form, rounded to 4th digit, as in "0.1234"
Use the following information: Stock A B Good state 10% 14% Bad state 2% -2% Assume there is 60% probability that the good state occurs and 40% chance the bad state occurs. What is the standard deviation of stock A? (Please use 5 decimal places, this should be written in percentage, so an answer of 23.143% should be written as .23143)
8. (Portfolio of two stocks) The following spreadsheet presents data for stocks A and B. A B C 1 2 RETURN STATISTICS OF STOCKS A AND B Stock A Stock B 3 Average return 15% 10% 4 Variance 0.12 0.07 5 Standard deviation 34.64% 26.46% 6 7 Covariance of return, Cov(AIB) 0.0160 0.1746 <=B7/(B5*C5) a. 8 Correlation of return What are the return and the standard deviation of a portfolio com- posed of 30% of stock A and 70% of stock B? b. What are the return and the standard deviation of an equally weighted portfolio of stocks A and B?
Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA = 38+0.7RM + eA + eB RB-28+1.2RM OM 20%; R-squareд 0.20; R-squareg = 0.12 What is the standard deviation of each stock? (Do not round intermediate calculations. Round your answers to 2 decimal places.) Stock A Stock B = Standard Deviation % %
The index model has been estimated from the excess returns for stock A with the following results: = RA 12.00% +1.55RM+ eA °M = 24.00% σ(eд) = 18.50% What is the standard deviation of the return for stock A? (Round your answer to 2 decimal places.) Standard deviation %

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Consider the following information on two stocks: P(State) Stock A Stock B Boom 20% 30% 20% Normal 50% 12% -5% Slow 15% 4% 8% Recession 15% -10% 10% Calculate the variance of stock A. (Enter percentages as decimals and round to 4 decimals)