PROBLEMS
1. You bought a stock for $20 and sold it for $59.72 after
six years. What was the annual rate of return?
2. You bought a stock for $28.29 that paid the following
dividends
Year 1 2 3
Dividend $1.00 $1.50 $1.80
After the third year, you sold the stock for $35. What was
the annual rate of return?
3. a. Given the following information concerning three
stocks, construct a simple average, a value–weighted
average, and a geometric average.
Stock Price Shares Outstanding
A $10 1,000,000
B $14 3,000,000
C $21 10,000,000
b. What are averages if each price rises to $11, $17, and
$35, respectively?
c. What is the percentage increase in each average?
4. The market consists of the following stocks. Their
prices and number of shares are as follows:
Stock Price Number of Shares Outstanding
A $10 100,000
B 20 10,000
C 30 200,000
D 40 50,000
a. The price of Stock C doubles to $60. What is the
percentage increase in the market if a S&P 500 type of
measure of the market (value–weighted average) is used?
b. Repeat question (a) but use a Value Line type of measure
of the market (i.e., a geometric average) to determine the
percentage increase.
c. Suppose the price of stock B doubled instead of stock C.
How would the market have fared using the aggregate
measures employed in (a) and (b)? Why are your answers
different?