Shooting Star, Inc. is considering a project that would have an eight $-$year life and would require a $$2,000,000$ investment in equipment. At the end of ten years, the project would terminate and the equipment would have no salvage value. The project would provide net income each year as follows:

Sales $$2,000,000$

Less: Variable Expenses $$1,600,000$

Contribution Margin $$400,000$

Less: Fixed Expenses $$200,000$

Net Income $$200,000$

All of the above items, except for depreciation of $$200,000$ a year, represent cash flows. The depreciation is included in the fixed expenses. The company's required rate of return is $10\%.($Ignore income taxes in this problem.$)$

Required:

$1.$ What is the project's net present value?

$2.$ What is the project's internal rate of return?

$3.$ What is the project's payback period?

$4.$ What is the project's simple rate of return?