Question: Two securities have the following characteristics: E( R A ) =.06 A = .04 E( R B ) =.08 B = .10 Assume that the

Two securities have the following characteristics:

E(RA) =.06 A= .04

E(RB) =.08 B= .10

Assume that the risk free rate is .04.

Consider the data above for asset A and asset B. The correlation between the two assets is 0. Below is the formula for the weight in asset A in the tangency portfolio (that is, the tangency portfolio that is found from extending a line from the risk-free rate to the tangency point of the attainable portfolios curve):

[E(RA) - rf ] 2B - [E(RB) - rf ] A B corr(RA, RB)

WA =

[E(RA) - rf ] 2B + [E(RB) - rf ] 2A - [E(RA) - rf + E(RB) - rf ] A B corr(RA, RB)

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For the tangency portfolio, find the standard deviation:

A.

0.03881

B.

0.04163

C.

0.04000

D.

0.04231

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