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Here are some historical data on the risk characteristics of Dell and McDonalds: Dell McDonalds (beta) 1.54 0.88 Yearly standard deviation of return (%) 33.10

Here are some historical data on the risk characteristics of Dell and McDonalds:

Dell McDonalds
(beta) 1.54 0.88
Yearly standard deviation of return (%) 33.10 16.3

Assume the standard deviation of the return on the market was 16%.

a.

The correlation coefficient of Dells return versus McDonalds is 0.38. What is the standard deviation of a portfolio invested half in Dell and half in McDonalds? (Do not round intermediate calculations. Round your answer to 2 decimal places.)

Standard deviation: _____%

b.

What is the standard deviation of a portfolio invested one-third in Dell, one-third in McDonalds, and one-third in risk-free Treasury bills? (Do not round intermediate calculations. Round your answer to 2 decimal places.)

Standard deviation: ______%

c.

What is the standard deviation if the portfolio is split evenly between Dell and McDonalds and is financed at 50% margin, that is, the investor puts up only 50% of the total amount and borrows the balance from the broker? (Do not round intermediate calculations. Round your answer to 2 decimal places.)

Standard deviation: _______%

d.

What is the approximate standard deviation of a portfolio composed of 100 stocks with betas of 1.54 like Dell? How about 100 stocks like McDonalds? (Hint: Part (d) should not require anything but the simplest arithmetic to answer.) (Round your answers to 2 decimal places.)

Standard Deviation
Dell: _______%
McDonalds: _______%

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