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

Year $1$: $$2\mathrm{.}4$ million

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

Year $3$: $$1\mathrm{.}5$ million

Year $4$: $$2\mathrm{.}1$ million

Year $5$: $$2\mathrm{.}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 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 $4-$year annuity due. All cash flows are discounted at $13\mathrm{.}7$ percent. If the team were to agree to the player's terms, what would be the player's annual salary $($in millions of dollars$)?$

$3\mathrm{.}17$

$2\mathrm{.}97$

$3\mathrm{.}37$

$3\mathrm{.}07$

$3\mathrm{.}27$