J.P. Morgan Asset Management publishes information about financial investments. Over the past 10 years, the expected return for a core bonds fund was 5.78% with a standard deviation of 2.13%.† J.P. Morgan Asset Management also reported that the expected return for real estate investment trusts (REITs) was 13.07% with a standard deviation of 23.17%. The correlation between core bonds and REITs is −0.04. (Past performance is no guarantee of future results.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
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J.P. Morgan Asset Management publishes information about financial investments. Over the past 10 years, the expected return for a core bonds fund was 5.78% with a standard deviation of 2.13%.†

J.P. Morgan Asset Management also reported that the expected return for real estate investment trusts (REITs) was 13.07% with a standard deviation of 23.17%. The correlation between core bonds and REITs is −0.04. (Past performance is no guarantee of future results.)

You are considering portfolio investments that are composed of a core bonds fund and REITs.

a. Using the information provided, determine the covariance between core bonds and REITs. (Round your answers to three decimal places.)

covariance =

b. Construct a portfolio that is 50% invested in a core bonds fund and 50% invested in REITs. In percentage terms, what are the expected return and standard deviation for such a portfolio? (Round your answer for the standard deviation to two decimal places.)

expected return =

standard deviation = 

c. Construct a portfolio that is 75% invested in a core bonds fund and 25% invested in REITs. In percentage terms, what are the expected return and standard deviation for such a portfolio? (Round your answer for the standard deviation to two decimal places.)

expected return  =

standard deviation =

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