How to solve...

A baseball player is offered a $5-$year contract that pays him the following amounts:

Year $1$: $$1\mathrm{.}6$ million

Year $2$: $$1\mathrm{.}6$ million

Year $3$: $$2\mathrm{.}4$ million

Year $4$: $$2\mathrm{.}7$ million

Year $5$: $$2\mathrm{.}2$ 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 that has a present value of $$3$ million more than that which has been offered. Moreover, the player wants to receive his payments in the form of a $6-$year ordinary annuity. All cash flows are discounted at $14\mathrm{.}4$ percent. If the team were to agree to the player's terms, what would be the player's annual salary $($in millions of dollars$)?$

$$2\mathrm{.}48$

$$2\mathrm{.}78$

$$2\mathrm{.}38$

$$2\mathrm{.}68$

$$2\mathrm{.}58$