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

Year $1$: $$2\mathrm{.}9$ million

Year $2$: $$3\mathrm{.}0$ million

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

Year $4$: $$2\mathrm{.}0$ million

Year $5$: $$1\mathrm{.}1$ 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 $12\mathrm{.}7$ 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{.}23$

$$2\mathrm{.}93$

$$2\mathrm{.}83$

$$3\mathrm{.}03$

$$3\mathrm{.}13$