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Problem 1: What is the variance of a portfolio with: w1-02, w2 =0.8, σ12-10, σ22-20, and 012 5. Problem 2 a) If the stocks 1 and 2 have negative correlationP12 then their covariance σ12 is also negative. Yes, no, uncertain. Explain b) If stocks 1 and 2 are uncorrelated, i.e. p2-0 then their covariance is zero, Yes, no, uncertain. Explain

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Answer #1

Problem 1

The Formula for Variance is w2A2(RA) + w2B2(RB) + 2*(wA)*(wB)*Cov(RA, RB)

A represents Stock 1 and B represents Stock 2

therefore 0.2*0.2*10 + 0.8*0.8*20 + 2*0.2*0.8*5

Answer = 14.8

Problem 2 a

Answer is NO

Covariance is a measure of the degree to which returns on two risky assets move in tandem.A negative covariance means returns move inversely.

Correlation, in the finance and investment industries, is a statistic that measures the degree to which two securities move in relation to each other either in Upward or Downward Direction.

Therefore it is not neccesary that a Negavtive Correlation will have a Negative Covariance

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