In: Finance
XYZ Pharmaceutical, Inc. just got FDA approval for their new drug, Viagrina. The company has never paid a dividend, but they expect to pay one for the first time by the end of the year. The expected dividend is $3.00 per share and the company expects that dividend to increase at a rate of 20% for five years. After that, XYZ expects to see its dividend growth limited by the growth rate the US economy, which on average is 4.5% per year. If the required rate of return for other startup pharmaceutical companies like XYZ is 11%, what should be the fair price of XYZ’s stock today?
| (A) Present Value of 5 Years Cash Flow | |||||
| Year | Calculation | Div Amt | DF @ 11% | Discounted Div amt | |
| D0 | $ 3.00 | ||||
| D1 | = 3 + 20% | $ 3.60 | 0.9009 | $ 3.24 | |
| D2 | = 3.6 + 20% | $ 4.32 | 0.8116 | $ 3.51 | |
| D3 | = 4.32 + 20% | $ 5.18 | 0.7312 | $ 3.79 | |
| D4 | = 5.184 + 20% | $ 6.22 | 0.6587 | $ 4.10 | |
| D5 | = 6.22 + 20% | $ 7.46 | 0.5935 | $ 4.43 | |
| Total (A) | $ 19.07 | ||||
| (B) Terminal Value i.e. Value still Perpituity | |||||
| Po = | D / (Ke - g) | ||||
| D6 | = 7.46 + 4.5% | ||||
| 7.505 | |||||
| TV | = 7.505 / (0.11 - 0.045) | ||||
| $ 115.46 | |||||
| Present Value of terminal Value | = $115.46.23 X .5935 | ||||
| $ 68.53 | |||||
| Stock Price = (A) + (B) | |||||
| = 19.07 + 68.53 | |||||
| $ 87.60 | |||||