For the second contract Luke noticed that there were $4$ components. He was able to calculate the amounts for the first $3$ parts:

$$207,858$ immediate signing bonus

Present Value: $$207,858$

$$100,000$ at the end of each year for the next $4$ years

Present value$=$ $$100,000$ x $3\mathrm{.}170=$ $$317,000$

$$150,000$ a year at the end of years $5$ through $10$

Present value $=$ $$150,000$ x $4\mathrm{.}355=$ $$653,250$ x $0\mathrm{.}683=$ $$446,170$

The $4$th component of the offer is that Luke will receive $$1,000,000$ a year at the end of years $11$ through $40.$ What is the value of the $4$th part of the offer?