4. The market consists of the following stocks. Their prices and number of share
ID: 2650557 • Letter: 4
Question
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 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?
Explanation / Answer
Current %age of Stock No of Shares Price Value Market Weight Change of value Increase A 100000 10 1000000 26.32% 1000000 0.00% B 10000 20 200000 5.26% 200000 0.00% C 20000 30 600000 15.79% 1200000 100.00% D 50000 40 2000000 52.63% 2000000 0.00% Total 3800000 100.00% 4400000 15.79% Answer a. Value increased by =4,400,000-3,800,000 = 600,000 %age of increase = 600,000/3,800,000*100 = 15.79% Answer b Before change Geometric Mean =(return 1 x return 2 x
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