A project has the following cash flows: Year 0: -$100,000, Year 1: $25,000, Year 2: $30,000, Year 3: $40,000, Year 4: $50,000. The company's discount rate is 10%. Calculate the project's NPV, profitability index (PI), and modified internal rate of return (MIRR).

Requirements:

1. Calculate the NPV of the project.
2. Determine the profitability index (PI).
3. Compute the modified internal rate of return (MIRR).
4. Assess the viability of the project based on NPV, PI, and MIRR.
5. Discuss the advantages of using MIRR over IRR.