General Atomics has signed a development contract with the following revenues to be paid to them for the first $5$ years of the project:

End of Year:$$ Cash Flow: $($Millions$)$

$150$

$255$

$360$

$465$

$580$

After year $5,$ the contract calls for a $5\%$ annual increase in revenues to be paid to General Atomics over each of the next $5$ years.$$ In other words, the Year $6$ payment will be $$80,000,000(1\mathrm{.}05)=$ $$84,000,000,$ Year $7=$ $$84,000,000(1\mathrm{.}05)=$ $$88,200,000$ and so forth through the end of Year $10.$ What is the PV of this contract for General Atomics?$($Hint:$$ Be careful about when the arithmetic gradient ends and the geometric gradient begins$).$ General Atomics uses a $7\%$ discount rate.