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You have recently graduated with a major in finance, and you just landed a job in the trust department of a large regional bank. Your

You have recently graduated with a major in finance, and you just landed a job in the trust department of a large regional bank. Your first assignment is to invest KES 10 million from an estate for which the bank is a trustee. Because the estate is expected to be distributed to the heirs in about one year, you have been instructed to plan for a one-year holding period. Further, your boss has restricted you to the following investment alternatives, shown with their probabilities and associated outcomes.

Returns on alternatives investments

Estimated rate of return

State of economy

Prob.

T-Bills

High-Tech Corporation

Excel collections Ltd

Ribbon manufacturing

Market portfolio

Recession

0.1

8%

-22%

28%

10%

-13%

Below average

0.2

8%

-2%

14.7%

-10%

1%

Average

0.4

8%

20%

15%

7%

15%

Above average

0.2

8%

35%

-10%

45%

29%

Boom

0.1

8%

50%

-20%

30%

43%

High-Tech Corporation is an electronics firm; Excel Collections Ltd. Collects past-due debts; and Ribbon Manufacturing Ltd. manufactures tyres and other rubber and plastics products. The bank also maintains an Index fund which owns a market weighted fraction of all publicly traded stocks; you can invest in that fund and thus obtain average stock market results.

Suppose you create a two-stock portfolio by investing KES 4 million in High-Tech Corporation and KES 6 million in Excel Collections Ltd.

i. Calculate the expected return, the standard deviation and the coefficient of variation for this

portfolio.

ii. How does the riskiness of this two-stock portfolio compare to the riskiness of the individual stocks if they are held in isolation?

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