Answer:
Given:
Monopolist earns = $60 million
The opportunity cost of funds = 18 %
The monopolist will earn = $20 million after another firm enters the market
The present value of the monopolist’s current and future earnings if entry occurs can be computed using the following formula:
[tex]\Pi_{MD} = Earning Annualy + \frac{Earning After firm enters}{Opportunity cost}[/tex]
[tex]\Pi_{MD} = \Pi_{M} + \frac{\Pi_{D}}{i}[/tex]
[tex]\Pi_{MD} = 60 + \frac{20}{0.18}[/tex]
[tex]\Pi_{MD} = 171.1[/tex]
The present value of the monopolist’s is $171.1 million
If the monopolist can earn $35 million indefinitely by limit pricing,then the present value of the monopolist’s current earnings:
[tex]\Pi_{MD} = \Pi_{M} + \frac{\Pi_{D}}{i}[/tex]
[tex]\Pi_{MD} = 60 + \frac{35}{0.18}[/tex]
[tex]\Pi_{MD} = 254.4[/tex]
∴ If the monopolist can earn $35 million indefinitely by limit pricing, then they should do so.