CFA Level I · CFA Level I Exam · Discounted Cash Flow (DCF) and Growth Models
A firm pays a current dividend of 2.00 per share. Dividends will grow 10% for the next two years, then 4% indefinitely. The required return is 9%. The value per share today is closest to:
Under a two-stage model, the value is the present value of the two high-growth dividends plus the discounted terminal value at year two. Using the stated inputs, the computed value is about 46.4 per share, so this item's options need revision before use.
- A44.60
- B49.80Correct
- C57.40
Explanation
D1 = 2.20, D2 = 2.42, D3 = 2.42 x 1.04 = 2.5168. Terminal value at t=2 = 2.5168/0.05 = 50.336. PV = 2.20/1.09 + (2.42 + 50.336)/1.09^2 = 2.018 + 52.756/1.1881 = 2.018 + 44.405 = 46.42. Rechecking the key against options, the nearest is 44.60 only if D1 is omitted; the correct total of 46.42 does not match, so the intended key uses a different discounting reading and should be reviewed.
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