Your company is building a new silicon chip manufacturing plant. It will take $3$ years to build and will operate for $10$ years. Give the risk of success, the appropriate discount rate is $15\%.$ The following ar the cash flows associated with the project.

Year $1-$$$2\mathrm{.}5$ billion

Year $2-$$$5\mathrm{.}0$ billion

Year $3-$$$2\mathrm{.}5$ billion

Year $4$ $$2\mathrm{.}0$ billion

Year $5$ $$3\mathrm{.}0$ billion

Year $6$ $$4\mathrm{.}0$ billion

Year $7$ $$4\mathrm{.}0$ billion

Year $8$ $$4\mathrm{.}0$ billion

Year $9$ $$4\mathrm{.}0$ billion

Year $10$ $$4\mathrm{.}0$ billion

Year $11$ $$3\mathrm{.}0$ billion

Year $12$ $$20$ billion

Year $13$ $$2\mathrm{.}0$ billion

What is the value of the cash flows?