58.0k views
1 vote
A first-round draft choice quarterback has been signed to a three-year, $10 million contract. The details provide for an immediate cash bonus of $1 million. The player is to receive $2 million in salary at the end of the first year, $3 million the next, and $4 million at the end of the last year. Assuming a 10% discount rate, is this package worth $10 million? How much is it worth?

User Wayne B
by
7.8k points

1 Answer

3 votes

Answer:

$8.31 million and No.

Step-by-step explanation:

In this question, we have to find out the present value which is shown below:

= $1 + first year value ÷ ( 1 + discount rate) + second year value ÷ ( 1 + discount rate) ^ number of years + third year value ÷ ( 1 + discount rate) ^ number of years

= $1 + $2 million ÷ (1 + 10%) + ($3 million ÷ 1.10)^2 + ($4 million ÷ 1.10)^3

= $1 million + $1.82 million + $2.48 million + $3.01 million

= $8.31 million

No the package would not worth $10 million as its present value is $8.31 million

User Gavgrif
by
7.3k points