The probability distribution of the returns of two assets, A and B, are shown in the tablebelow. Calculate the covariance between the returns of asset A and asset B.State of EconomyProbability of StateReturn of Asset AReturn of Asset BBoom0.2040%5%Normal0.4520%10%Slow Down0.250%15%Recession0.10-20%30%O-0.3750-0.01140.3750-50.2500-2.525

The combined variability of two variables is described by covariance. When there is a positive…

Answered: The probability distribution of the…

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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Similar questions

Consider two assets with the following cash flow streams: Asset A generates $4 at t=1, $3 at t=2, and $10 at t=3. Asset B generates $2 at t=1, $X at t=2, and $10 at t=3. Suppose X=6 and the interest rate r is constant. For r=0.1, calculate the present value of the two assets. Determine the set of all interest rates {r} such that asset A is more valuable than asset Draw the present value of the assets as a function of the interest rate. Suppose r=0.2. Find the value X such that the present value of asset B is 12. Suppose the (one-period) interest rates are variable and given as follows: r01=0.1,r12=0.2, r23=0.3. Calculate the yield to maturity of asset A. (You can use Excel or ascientific calculator to find the solution numerically.)
Compute the expected return given these three economic states, their likelihoods, and the potential returns: Economic State Probability Return Fast Growth 0.2 23% Slow Growth 0.6 14% Recession 0.2 −30% Multiple Choice 12.5 percent 7.5 percent 3.5 percent 7.0 percent
Following are four economic states, their likelihoods, and the potential returns: Probability 0.22 Economic State Fast growth Slow growth Recession Depression 0.52 0.19 0.07 Expected return Standard deviation Compute the expected return and standard deviation. Note: Do not round intermediate calculations and round your answers to 2 decimal places. Return 76% 18 -18 -52 % %
2) Calculate the expected rate of return and standard deviation for a security with the following possible outcomes: State of the Economy Probability of State Return if State Occurs Depression 0.2 -5% Recession 0.4 3% Slow growth 0.3 7% Moderate growth 0.1 10%
Based on the following information, what is the standard deviation of returns? Probability of State of Economy Rate of Return if State of Economy State Occurs Recession .24 -.092 Normal .45 .107 Boom .31 .217
Following are four economic states, their likelihoods, and the potential returns: Economic State Probability 0.31 0.50 0.16 0.03 Fast growth Slow growth Recession Depression Compute the expected return and standard deviation. (Do not round intermediate calculations and round your answers to 2 decimal places.) Expected return Standard deviation Return 78% 15 -18 -49 % %
Consider the following information: State of Probability of Portfolio Return Economy State of Economy If State Occurs Recession <- Boom 21 .79 Expected return Calculate the expected return. (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) 11 .21 %
H3. Compute the standard deviation of the expected return given these three economic states, their likelihoods, and the potential returns: Economic State Probability Return Fast Growth 0.2 30% Slow Growth 0.5 6% Recession 0.3 −2% Please show proper step by step calculation
For the investment shown in the following table, calculate the total return earned over the unspecified time period. Cash flow during period Beginning-of- period value End-of- period value −$10 $3,200 $2,800 The total return on the investment is __%.
Consider the following information: State ofEconomy Probability of Stateof Economy Rate of Returnif State Occurs Recession .21 –.12 Normal .48 .14 Boom .31 .33 Calculate the expected return. (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)
An asset has an average return of 11.33 percent and a standard deviation of 24.18 percent. What is the most you should expect to lose in any given year with a probability of 2.5 percent? −37.03% −61.21% −24.94% −12.85% −59.69%
Consider the following information about the various states of economy and the returns of various investment alternatives for each scenario. Answer the questions that follow. % Return on T-Bills, Stocks and Market Index State of the Economy Probability T- Phillips Pay- Rubber- Market Bills up made Index Recession 0.2 7 -22 28 10 -13 Below Average 0.1 7 -2 14.7 -10 1 Average 0.3 7 20 0 7 15…

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