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state of the economy probability of occurrence expected return on stock A expected return on stock...

state of the economy probability of occurrence expected return on stock A expected return on stock B
High growth 0.1 60% 5%
Moderate growth 0.2 20% 20%
No growth 0.5 10% 5%
Recession 0.2 -25% 0%


1)Calculate the weighted average of the standard deviation of individual stocks A and B ; and show that each portfolio standard deviation is less than this weighted average except the portfolio standard deviation with correlation of 1.

2) Given correlation of -1, what portfolio weights will reduce the portfolio standard deviation to zero? Show calculations to support your answer.


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