ffer $1$

$$934,720$ immediate signing bonus

$$850,000$ at the end of each year for the next $5$ years

Offer $2$

$$217,360$ immediate signing bonus

$$100,000$ at the end of Years $1$ through $4$

$$150,000$ at the end of Years $5$ through $10$

$$1,000,000$ and the end of Years $11$ through $40$

Offer $3$

$$1,006,944$ immediate signing bonus

$$500,000$ at the end of Year $1$

$$1,000,000$ at the end of Year $2$

$$1,500,000$ at the end of Year $3$

$$2,500,000$ at the end of Year $4$

$$184,720$ bonus for any year Luke is selected to play in the Pro Bowl All Star game $(25\%$ probability in each year$)$

Canadian Football League

$$1,134,720$ immediate signing bonus

$$2,000,000$ at the end of Years $1$ through $3$

Only signing bonus is guaranteed $(80\%$ probability of being on team each year$)$

What is the total value of contract #$3?$