In: Finance
A price-weighted index is comprised of three stocks. Yesterday
the three stocks were priced at $15, $20, and $32. The number of
outstanding shares for each is 500 shares, 2,000 shares, and 1,000
shares, respectively. If the stock prices changed to $16, $15, and
$38 today respectively, what is the 1-day rate of return on the
index?
① 2.7% ② 3.0% ③ 3.3% ④ 3.6%
The Correct Opyion is (2) 3%
Step(1) Calculation of Value of Index at the start (i.e. Yesterday)
Value of index = sum of prices of stocks in the index/number of stocks in the index.
Value of Index at the start = (15+20+32)/3 = 22.33
Step(2) Calculation of Value of Index at the End (i.e Today)
Value of index = sum of prices of stocks in the index/number of stocks in the index
Value of Index at the End = (16+15+38)/3 = 23
Step (3) Calculation of Rate of Return on Index
Rate of Return on Index = (Value of Index at the End - Value of Index At start)/Value of Index at the start
Rate of Return on Index = (23-22.33)/22.33 = .0300 0r 3%
Hence the one day rate of return of the Index is 3%