Question 1. Myers Business Systems is evaluating the introduction of a new product. The possible levels of unit sales and the probabilities of their occurrence are given below:
Possible Sales
Market Reaction in Units Probabilities
Low response . . . . . . . . . . . . . 20 .10
Moderate response . . . . . . . . . 40 .30
High response . . . . . . . . . . . . . 55 .40
Very high response . . . . . . . . . 70 .20
a. What is the expected value of unit sales for the new product?
b. What is the standard deviation of unit sales?
Question 2: Five investment alternatives have the following returns and standard deviations of returns.
Returns- Standard
Alternative Expected Value 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 lowest risk to highest risk.
Question 3: Mr. Monty Terry, a real estate investor, is trying to decide between two potential small shopping center purchases. His choices are the Wrigley Village and Crosley Square. The anticipated annual cash inflows from each are as follows:
Wrigley Village Crosley Square
Yearly Aftertax Yearly Aftertax
Cash Inflow Cash Inflow
(in thousands) Probability (in thousands) Probability
$10 . . . . . . . . . . . .1 $20 . . . . . . . . . . . .1
30 . . . . . . . . . . . . 2 30 . . . . . . . . . . . .3
40 . . . . . . . . . . . . 3 35 . . . . . . . . . . . .4
50 . . . . . . . . . . . . 3 50 . . . . . . . . . . . .2
60 . . . . . . . . . . . . 1
a. Find the expected value of the cash flow from each shopping center.
b. What is the coefficient of variation for each shopping center?
c. Which shopping center has more risk?