Jim Harbaugh signed a $7-$year deal when he first arrived in Ann Arbor. The deal called for Harbaugh to earn $$5\frac{M}{?}$ year initially, with a $10\%$ increase after year $3,$ and another $10\%$ increase after year $5.$ Thus, contract details were as follows:

Years $1-3$: $$5M$ per year

Years $4-5$: $$5\mathrm{.}5M$ per year

Years $6-7$: $$6\mathrm{.}05M$ per year

Assuming a discount rate of $5\%,$ what was the present value $($Year $0)$ of Coach Harbaugh's deal on the day he signed it$?$