A portfolio consists of bonds, stocks, commodities and real estates. The portfolio weightings, expected returns, variances and correlation matrix are shown below. Weight Expected Return Variance (%2) Bonds 50% 10% 15% 25% 8% 12% 20% 16% 10 30 15 20 0.1 0.3 0.4 0.6 1.0 0.2 1.0 Stocks Commodities Real Estate Correlation Matrix Bonds 1.0 -0.2 1.0 Stocks Commodities Real Estate Bonds Stocks Commodities Real Estate Calculate the standard deviation of the return of the portfolio.

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter8: Analysis Of Risk And Return
Section: Chapter Questions
Problem 21P
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8. A portfolio consists of bonds, stocks, commodities and real estates. The portfolio weightings, expected returns, variances and correlation matrix are shown below.

Weight

Expected Return

Variance (%2)

Bonds

50% 10% 15% 25%

8% 12% 20% 16%

10 30 15 20

0.1 0.3 0.4 0.6 1.0 0.2

1.0

Stocks

Commodities

Real Estate

Correlation Matrix

Bonds

1.0

-0.2 1.0

Stocks

Commodities

Real Estate

Bonds

Stocks

Commodities

Real Estate

  1. Calculate the standard deviation of the return of the portfolio.

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