Using the after$-$tax incremental cash flows listed below to answer the following questions:

$1.$ If the project is terminated at the end of the $15$th year, and both working capital and investment in other assets can be sold for book value at the end of that year, estimate the net present value of this project. Develop a net present value profile and estimate the internal rate of return for this project.

$2.$ If the project is expected to have a life much longer than $15$ years, estimate the net present value of this project, making reasonable and consistent assumptions about investments and cash flows after year $15.$ Develop a net present value profile and estimate the internal rate of return $($IRR$)$ for this project. Is IRR a reasonable measure to use for this project? Hint: think of the assumptions under which IRR could fail.

Year $1-3,884,000,000$

Year $2-5,592,960,000$

Year $3-8,053,860,000$

Year $4-11,597,560,000$

Year $5-16,700,490,000$

Year $6-44,048,700,000$

Year $7-34,630,130,000$

Year $8-49,867,390,000$

Year $9-71,809,050,000$

Year $10-103,405,030,000$

Year $11-148,903,240,000$

Year $12-214,420,660,000$

Year $13-308,765,750,000$

Year $14-444,622,690,000$

Year $15-640,256,670,000$