The net present value $($NPV$)$ and internal rate of return $($IRR$)$ methods of investment analysis are interrelated and are sometimes used together to make capital budgeting decisions.

Blue Hamster Manufacturing Inc. lost a portion of its planning and financial data when its server and its backup server crashed. The company$$s CFO remembers that the internal rate of return $($IRR$)$ of Project Lambda is $11\mathrm{.}30\%,$ but he can$$t recall how much Blue Hamster originally invested in the project nor the project$$s net present value $($NPV$).$ However, he found a note that contained the annual net cash flows expected to be generated by Project Lambda. They are:

Year

Cash Flow

$1$ $$2,200,000$

$2$ $$4,125,000$

$3$ $$4,125,000$

$4$ $$4,125,000$

The CFO has asked you to compute Project Lambda$$s initial investment using the information currently available to you. He has offered the following suggestions and observations:

$$ A project$$s IRR represents the return the project would generate when its NPV is zero or the discounted value of its cash inflows equals the discounted value of its cash outflows$$when the cash flows are discounted using the project$$s IRR.

$$ The level of risk exhibited by Project Lambda is the same as that exhibited by the company$$s average project, which means that Project Lambda$$s net cash flows can be discounted using Blue Hamster$$s $9\mathrm{.}00\%$ desired rate of return.

Given the data and hints, Project Lambda$$s initial investment is $,$ and its NPV is $($both rounded to the nearest whole dollar$).$

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