Question

Suppose two athletes each sign 10-year contracts for $80 million. In one case, we’re told that the $80 million will be paid in 10 equal installments. In the other case, we’re told that the $80 million will be paid in 10 installments, but the installments will increase by 5 percent per year. Who got the better deal?

Answer 1

The athlete with equal installments got the better deal.

Step-by-step explanation:

Two athletes each sign 10-year contracts for $80 million.

In one case, we’re told that the $80 million will be paid in 10 equal installments.

In the other case, the $80 million will be paid in 10 installments, but the installments will increase by 5 percent per year.

The one with equal installments will get $8 million every year.

But the one with increasing installments will get smaller payments initially as his payments were to be increased by 5% each year.

Though the total value of both the annuities will remain the same.