Answer:
To begin with, we require a discount rate; in researching similar questions, I found that the discount rates ranged from 4% to 8%, so I opted for 6%.
The company has two options: continue operating in a competitive market or reduce its prices to eliminate competition.
Utilizing the perpetuity formula, the present value for the first option is calculated as follows: = $10,000,000 / 0.06 = $166,666,667
For the second option, the present value is:
PV of price reduction = $1,000,000,000 / 1.06 = $943,396,226 plus the present value of future net income
The present value of future net income = $50,000,000 / 0.06 = $833,333,333, but this figure must be discounted as the terminal value relates to the end of the current year, not now: $833,333,333 / 1.06 = $786,163,552
Consequently, the NPV associated with lowering prices is $786,163,552 - $943,396,226 = -$157,232,674, indicating this is certainly not a favorable plan.