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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.

Basing a decision solely on expected returns is only appropriate for risk neutral individuals. Because the beneficiaries of the trust, like most people are risk averse, and the riskiness of each alternative is an important aspect of the decision. Calculate the standard deviation for each alternative.

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