A project has an initial investment of $500,000. If the expected cash inflows from the project are $200,000 in year 1, $190,000 in year 2, $170,000 in year 3, and $150,000 in year 4, what is the project’s payback? If the firm’s hurdle payback rate were 2.5 years, would you accept the project?

a. If the firm’s cost of capital is 14.5%, what is the project’s net present value? Based on this, would you accept the project?

b. What is the project’s profitability index (cost of capital = 14.5%)? Based on this, would you accept the project?

c. What is the project’s internal rate of return? If the cost of capital is 14.5% would you accept the project?

d. What is the project’s modified internal rate of return if the cost of capital is 14.5%. Would you accept this problem?

please answer by hand/ equation.