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CFA Level I · CFA Level I Exam · Discounted Cash Flow (DCF) and Growth Models

An investor plans to hold a share for one year. She expects a dividend of $3.00 at year-end and a selling price of $53.00 at that time. The required return is 12%. The current value of the share is closest to:

The share is worth about $50.00. The expected year-end dividend of $3.00 and the sale price of $53.00 total $56.00, and discounting that one year at the 12% required return gives $56.00 divided by 1.12, or $50.00.

  1. A$46.43
  2. B$50.00Correct
  3. C$56.00

Explanation

V0 = (3.00 + 53.00)/1.12 = 56.00/1.12 = $50.00. Omitting the discounting gives $56.00. Discounting only the price gives $47.32, and discounting only the dividend plus the undiscounted price does not match any sensible approach; $46.43 comes from discounting by 1.12 twice incorrectly... in practice it is a flawed result.

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