Problem:
A baseball player is offered a 5-year contract which pays him the following amounts:
Year 1: $1.2 million
Year 2: $1.6 million
Year 3: $2.0 million
Year 4: $2.4 million
Year 5: $2.8 million
Under the terms of the agreement all payments are made at the end of each year.
Instead of accepting the contract, the baseball player asks his agent to negotiate a contract which has a present value of $1 million more than that which has been offered. Moreover, the player wants to receive his payments in the form of a 5-year annuity due. All cash flows are discounted at 10 percent. If the team were to agree to the player's terms, what would be the player's annual salary (in millions of dollars)?