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Portfolio Risk Lecture 14
Portfolio risk ,[object Object],[object Object],[object Object]
Why risk decrease when we combine two or more assets ,[object Object],[object Object],[object Object],Scenario PIA POL Averag Same oil price  10% 10% 10% Oil prices fall 20% 5% 12.5% Oil prices rise 2% 20% 11%
Interpretation ,[object Object],[object Object],[object Object],[object Object]
Why the SD fell by combining two asset? ,[object Object],[object Object],[object Object]
What is necessary for combining securities to reduce risk? ,[object Object],[object Object]
Portfolio Risk will not decrease ,[object Object],[object Object]
Why risk falls in a portfolio? ,[object Object],[object Object],[object Object],[object Object]
Risk Reduction with Diversification Number of Securities St. Deviation Market Risk Unique Risk
Co-variance ,[object Object],[object Object],[object Object],[object Object],[object Object]
Formula of covariance ,[object Object],[object Object],[object Object],[object Object]
To make covariance meaningful ,[object Object],[object Object]
Correlation Coefficient ,[object Object],[object Object],[object Object]
Calculating Portfolio Risk ,[object Object],[object Object],[object Object],[object Object],[object Object]
EXAMPLE ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
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[object Object],Scenario PIA POL Same oil price  10% 10% Oil prices fall 20% 5% Oil prices rise 2% 20%
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What if we change weights? ,[object Object],Portfolios PIA POL SD of Portfolio Return of Portfolio A 25% 75% 4.59% 11.4% B 50% 50% 3.55% 11.2% C 75% 25% 5.71% 10.9% D 100% 0 9.01% 10.67%

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