Question

A famous quarterback just signed a contract for $18.6 million, providing $3.1 million a year for 6 years. A less famous receiver signed a contract for $17.6 million, providing $5 million now and $2.1 million a year for 6 years. The interest rate is 9%. a. What is the PV of the quarterback's contract? (Do not round intermediate calculations. Enter your answer in millions rounded to 2 decimal places.) b. What is the PV of the receiver's contract? (Do not round intermediate calculations. Enter your answer in millions rounded to 2 decimal places.) c. Who is better paid? Quarterback Receiver

Answer 1

Answer:

a) The PV of the quarterback's contract is 13.91 million

b) The PV of the receiver's contract is 14.42 million .

c) The Receiver is better paid  

Explanation:

a)

PV of quarterback

= 3.1/1.09 + 3.1/1.09^2 + 3.1/1.09^3 + 3.1/1.09^4 + 3.1/1.09^5 + 3.1/1.09^6

= 3.1/0.09*(1 - (1/1.09)^6)

= 13.91 million

Therefore, The PV of the quarterback's contract is 13.91 million .

b)

PV of receiver's contract

= 5 + 2.1/1.09 + 2.1/1.09^2+2.1/1.09^3+2.1/1.09^4+2.1/1.09^5+2.1/1.09^6

= 5 + 2.1/0.09*(1 - (1/1.09)^6)

= 14.42 million

Therefore, The PV of the receiver's contract is 14.42 million .

c) Since the PV of the quarterback's contract is less than the PV of the receiver's contract, The Receiver is better paid.