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1. A portfolio is formed with 50% of your money in Stock 1 and 50% of your money

ID: 2735574 • Letter: 1

Question

1. A portfolio is formed with 50% of your money in Stock 1 and 50% of your money in stock 2. Stock 1 has a standard deviation of 0.03, and stock 2 has a standard deviation of 0.075. Which comes closest to the portfolio variance if the covariance between Stock 1 and Stock 2 is -0.005?

-0.002

-0.0002

-0.011

-0.00086875

-0.005

2. Microsoft is currently $30 per share. Suppose that the firm announces a 2 for 3 stock split. Based solely on this information, what will the share price of Microsoft to be after the split?

$20

$15

$33

$30

$45

a.

-0.002

b.

-0.0002

c.

-0.011

d.

-0.00086875

e.

-0.005

Explanation / Answer

1.Portfolio variance can be computed by using the following equation

Portfolio variance =(W1*1)^2+(W2*2)^2+2*W1*W2*covariance between Stock 1& 2

W1 = the portfolio weight of the stock 1

W2 = the portfolio weight of the stock 2

1= the standard deviation of the stock 1

2 = the standard deviation of the stock 2

now Portfolio variance=(0.03*.50)^2+(0.075*.05)^2+2*.50*.50*-0.005

= -0.002

Answer is A )