Question

In: Finance

You work for a pharmaceutical company that has developed a new drug. The patent on the...

You work for a pharmaceutical company that has developed a new drug. The patent on the drug will last 17 years. You expect that the drug's profits will be $1 million in its first year and that this amount will grow at a rate of 2% per year for the next 17 years. once the patent expires, other pharmaceutical companies will be able to produce the same drug and competition will likely drive profits to zero. What is the present value of the new drug if the interest rate is 8% per year?

Solutions

Expert Solution

Discount rate 8.0000%
Cash flows Year Discounted CF= cash flows/(1+rate)^year Cumulative cash flow
                               -   0                                            -                                           -  
                        1.000 1                                        0.93                                    0.93
                        1.020 2                                        0.87                                  1.800
                        1.040 3                                        0.83                                    2.63
                        1.061 4                                        0.78                                    3.41
                        1.082 5                                        0.74                                    4.14
                        1.104 6                                        0.70                                    4.84
                        1.126 7                                        0.66                                    5.50
                        1.149 8                                        0.62                                    6.12
                        1.172 9                                        0.59                                    6.70
                        1.195 10                                        0.55                                    7.26
                        1.219 11                                        0.52                                    7.78
                        1.243 12                                        0.49                                    8.27
                        1.268 13                                        0.47                                    8.74
                        1.294 14                                        0.44                                    9.18
                        1.319 15                                        0.42                                    9.60
                        1.346 16                                        0.39                                    9.99
                        1.373 17                                        0.37                                  10.36

the present value of the new drug = 10.36 million


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