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The probability distribution of the return on asset X is Probability 0.1 0.2 0.4 0.2 0.1 Return on X (%) 30 20 15 10 -50

The probability distribution of the return on asset X is

Probability 0.1 0.2 0.4 0.2 0.1
Return on X (%) 30 20 15 10 -50

The return on asset Y is perfectly correlated with the return on X so that Ry= 0.06+0.2Rx, where Ry denotes the return on Y and Rx denotes the return on X.

(a) What are the expected return and standard deviation of return on a portfolio with equal weights in the two assets?

(b) What should the weight of asset X be if the aim is to construct a portfolio with zero variance?

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