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Five investment alternatives have the following returns and standard deviations of returns:

Alternatives

Returns:

Expected Value

Standard Deviation

A ....................... \( 5,000 \)1,200

B ....................... 4,000 600

C ....................... 4,000 800

D ....................... 8,000 3,200

E ....................... 10,000 900

Using the coefficient of variation, rank the five alternatives from the lowest risk to the highest risk

Short Answer

Expert verified
Table showing the Ranks

Coefficient of variation

Rank

Alternative A

0.24

Rank 5

Alternative B

0.15

Rank 4

Alternative C

0.2

Rank 2

Alternative D

0.4

Rank 3

Alternative E

0.09

Rank 1

Step by step solution

01

Computation of coefficient of variation

CoefficientofvariationAlternativeA=StandarddeviationExpectedvalue=12005,000=0.24

02

Computation of coefficient of variation

CoefficientofvariationAlternativeB=StandarddeviationExpectedsales=6004,000=0.15

03

Computation of coefficient of variation

CoefficientofvariationAlternativeC=StandarddeviationExpectedsales=8004,000=0.2

04

Computation of coefficient of variation

CoefficientofvariationAlternativeD=StandarddeviationExpectedsales=32008,000=0.4

05

Computation of coefficient of variation

CoefficientofvariationAlternativeE=StandarddeviationExpectedsales=90010,000=0.09

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Most popular questions from this chapter

The Clearinghouse Sweepstakes has just informed you that you have won \(1 million. The amount is to be paid out at the rate of \)20,000 a year for the next 50 years. With a discount rate of 10 percent, what is the present value of your winnings?

Rita Gonzales won the \(41 million lottery. She is to receive \)1.5 million a year for the next 19 years plus an additional lump sum payment of $12.5 million after 19 years. The discount rate is 14 percent. What is the current value of her winnings?

Question: As stated in the chapter, annuity payments are assumed to come at the end of each payment period (termed an ordinary annuity). However, an exception occurs when the annuity payments come at the beginning of each period (termed an annuity due). To find the present value of an annuity due, the annuity formula must be adjusted as to the following: PVAD 5 A 3 ( 12 1 ________ (11i) n 21 ___________ i 11) The Capital Budgeting Process blo7716x_ch09_255-294.indd 284. Likewise, the formula for the future value of an annuity due requires a modification: FVAD 5 A 3 ( (11i) n11 21 ___________ i 21). What is the future value of a 15-year annuity of $1,800 per period where payments come at the beginning of each period? The interest rate is 12 percent.

Question:Beasley Ball Bearings paid a \(4 dividend last year. The dividend is expected to grow at a constant rate of 2 percent over the next four years. The required rate of return is 15 percent (this will also serve as the discount rate in this problem). Round all values to three places to the right of the decimal point where appropriate.

a. Compute the anticipated value of the dividends for the next four years. That is, compute D1, D2, D3, and D4; for example, D1 is \)4.08 (\(4 3 1.02).

b. Discount each of these dividends back to present at a discount rate of 15 percent and then sum them.

c. Compute the price of the stock at the end of the fourth year (P4). P4 5 D5 ______ Ke 2 g (D5 is equal to D4 times 1.02.)

d. After you have computed P4, discount it back to the present at a discount rate of 15 percent for four years.

e. Add together the answers in part b and part d to get P0, the current value of the stock. This answer represents the present value of the four periods ofdividends, plus the present value of the price of the stock after four periods (which in turn represents the value of all future dividends).

f. Use Formula 10-8 to show that it will provide approximately the same answer as part e. P0 5 D1 ______ Ke 2 g For Formula 10-8, use D1 5 \)4.08, Ke 5 15 percent, and g 5 2 percent. (The slight difference between the answers to part e and part f is due to rounding.)

g. If current EPS were equal to $4.98 and the P/E ratio is 1.2 times higher than the industry average of 6, what would the stock price be?

h. By what dollar amount is the stock price in part g different from the stock price in part f?

i. In regard to the stock price in part f, indicate which direction it would move if (1) D1 increases, (2) Ke increases, and (3) g increases

Question: Betty Bronson has just retired after 25 years with the electric company. Her total pension funds have an accumulated value of $180,000, and her life expectancy is 15 more years. Her pension fund manager assumes he can earn a 9 percent return on her assets. What will be her yearly annuity for the next 15 years?

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