Question

A benchmark market value index is comprised of three stocks. Yesterday the three stocks were priced at $16, $24, and $55. The number of outstanding shares for each is 640,000 shares, 540,000 shares, and 240,000 shares, respectively. If the stock prices changed to $20, $22, and $57 today respectively, what is the 1-day rate of return on the index

Answer 1

Answer:

The 1-day rate of return on the index = 5.36%

Explanation:

Index Value = Sum of (Outstanding Shares*Share Price)

      q          p           mv              q1            p1          mv1

640,000   16    10240000      640000    20     12800000

540,000   24   12960000      540000    22     11880000

240,000   55   13200000  240000    57     13680000

                        36400000                                38360000

Note: q/q1 = no of shares, p = price per share, mv/mv1 = market value, p1 = changed price per share

Return = (Index Value Today - Index Value Yesterday)/Index Value Yesterday

Return = (38360000 - 36400000) / 36400000

Return = 0.05385

Return = 5.36%