Skull Island Adventures just paid a dividend of $2.10 per share. The dividend is expected to grow at a rate of 22% per year for the next 3 years. Afterwards, the dividend is expected to grow at a rate of 5% indefinitely. The appropriate discount rate for the company is 14.0%. What is the value of the stock today (i.e. P0)?
The correct answer is $ 37.25
Note : Value of Stock today = Present Value of Dividends + Present Value of Price at Year 4
Present Value of Dividends :
Year | Dividend | Discounting Factor (14%) | Present Value ( Dividend * Discounting factor) |
0 | 2.1 | ||
1 | 2.5620000 | 0.877192982 | 2.25 |
2 | 3.1256400 | 0.769467528 | 2.40508 |
3 | 3.8132808 | 0.674971516 | 2.57386 |
Present Value of Dividends | 7.226302830021 |
Dividend at Year 4 = $ 3.8132808 * 105%
= $ 4.00394484
Price at Year 4 = 4.00394484 / ( 14% -5%)
= $ 44.488276
Present Value of Price at Year 4 = $ 44.488276 * 0.674971516
= $ 30.0283191
Hence, the current value = $ 30.0283191 + $ 7.226302830021
= $ 37.25
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