Final answer:
The project is worth pursuing because the present value of the revenues is greater than the cost.
Step-by-step explanation:
The project's cost is $100,000 upfront, while the expected revenues are $10,000 per year indefinitely. To determine if the project is worthwhile, we need to calculate the present value of the revenues and compare it to the cost.
The present value of the revenues can be calculated using the formula:
PV = Annual Revenue / Interest Rate
Using the given interest rate of 5%, the present value of the revenues is $10,000 / 0.05 = $200,000.
Since the present value of the revenues ($200,000) is greater than the cost of the project ($100,000), the project is worth pursuing.