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(Expected rate of return and risk) B.J Gautney Enterprises is evaluating a security. One-year Treasury bills are currently paying 4.1 percent. Calculate the investments expected

  1. (Expected rate of return and risk) B.J Gautney Enterprises is evaluating a security. One-year Treasury bills are currently paying 4.1 percent. Calculate the investments expected return and its standard deviation should Gautney invest in this security?

Probability

Return

0.10

-5%

0.50

3%

0.30

5%

0.10

8%

  1. The investments expected return is . %

  1. (Expected rate of return) James Fromholtz is considering whether to invest in a newly formed investment fund. The funds investment objective is to acquire home mortgage securities at what it hopes will be bargain prices. The fund sponsor has suggested to James that the funds performance will hinge on how the national economy performs in the coming year. Specifically, he suggested the following outcomes:

Data Table

State of Economy

Probability

Fund Return

Rapid expansion and recovery

5%

100%

Modest growth

30%

30%

Continued recession

60%

10%

Falls into depression

5%

-100%

  1. Based on these potential outcomes, what is your estimate of the expected rate of return from this investment opportunity?
  2. Calculate the standard deviation in the anticipated returns found in part a.
  3. Would you be interested in making such an investment? Note that you lose all your money in one year if the economy collapses into the worst state or you double your money if the economy enters into a rapid expansion.

  1. The expected rate of return from this investment opportunity is .. %

  1. (Systematic risk and expected rates of return ) The following table (See below) contains beta coefficient estimates for six firms. Calculate the expected increase in the value of each firms shares if the market portfolio were to increase by 10 percent. Perform the same calculation where the market drops by 10 percent. Which set of firms has the most variable or volatile stock returns?

Company

Yahoo Finance (Yahoo.com)

Computers and Software

Apple Inc. (AAPL)

2.29

Dell Inc. (DELL)

1.75

Hewlett Packard (HPQ)

1.21

Utilities

American Electric Power Co. (AEP)

0.79

Duke Energy Corp. (DUK)

0.51

CenterPoint Energy (CNP)

0.91

Input the expected increase in the value of each firms shares if the market portfolio were to increase by 10%.

Company

Yahoo Finance (Yahoo.com) Beta Estimate

Expected Increase

Computers and Software

Apple Inc. (AAPL)

2.29

%

Dell Inc. (DELL)

1.75

%

Hewlett Packard (HPQ)

1.21

%

Utilities

American Electric Power Co. (AEP)

0.79

%

Duke Energy Corp. (DUK)

0.51

%

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