Scenario Probability Stock Fund Rate of Return Bond Fund Rate of Return Severe recession 0.10 −41% −14% Mild recession 0.20 −21% 20% Normal growth 0.40 26% 13% Boom 0.30 31% −10% Required: a. Calculate the values of mean return and variance for the stock fund. (Do not round intermediate calculations. Round "Mean return" value to 1 decimal place and "Variance" to 2 decimal places.) b. Calculate the value of the covariance between the stock and bond funds. (Negative value should be indicated by a minus sign. Do not round intermediate calculations. Round your answer

Scenario Probability Stock Fund Rate of Return Bond Fund Rate of Return Severe recession 0.10 −41% −14% Mild recession 0.20 −21% 20% Normal growth 0.40 26% 13% Boom 0.30 31% −10% Required: a. Calculate the values of mean return and variance for the stock fund. (Do not round intermediate calculations. Round "Mean return" value to 1 decimal place and "Variance" to 2 decimal places.) b. Calculate the value of the covariance between the stock and bond funds. (Negative value should be indicated by a minus sign. Do not round intermediate calculations. Round your answer

Essentials of Business Analytics (MindTap Course List)

2nd Edition

ISBN:9781305627734

Author:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson

Publisher:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson

Chapter5: Probability: An Introduction To Modeling Uncertainty

Section: Chapter Questions

Problem 30P: Suppose that the return for a particular large-cap stock fund is normally distributed with a mean of...

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Question

Consider the following table:

Scenario	Probability	Stock Fund Rate of Return	Bond Fund Rate of Return
Severe recession	0.10	−41%	−14%
Mild recession	0.20	−21%	20%
Normal growth	0.40	26%	13%
Boom	0.30	31%	−10%

Required:

a. Calculate the values of mean return and variance for the stock fund. (Do not round intermediate calculations. Round "Mean return" value to 1 decimal place and "Variance" to 2 decimal places.)

b. Calculate the value of the covariance between the stock and bond funds. (Negative value should be indicated by a minus sign. Do not round intermediate calculations. Round your answer to 2 decimal places.)

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