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CFA Level I · CFA Level I Exam · Sources of Equity Returns

A share is bought at 80.00. It pays a dividend of 4.00 at the end of month 6, which is immediately reinvested at a share price of 88.00, and the position is valued at 90.00 per share at the end of year 1. The investor holds exactly one original share. The ending value of the holding at year-end is closest to:

The holding is worth about 94.09. The 4.00 dividend buys 0.04545 additional share at 88.00, giving 1.04545 shares, which at 90.00 each are worth 94.09. Ignoring reinvestment would leave only 90.00.

  1. A90.00
  2. B94.09Correct
  3. C94.50

Explanation

Dividend of 4.00 buys 4/88 = 0.04545 share. Total shares = 1.04545. Ending value = 1.04545 × 90.00 = 94.09. Using 94.00 or ignoring reinvestment would understate the value at 90.00, while simply adding 4.00 gives 94.00, which is not an option and ignores the growth of the reinvested shares.

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