You MUST use the TI BA II calculator features $($N$,$ I$/$Y$,$ PV$,$ PMT$,$ FV$)$ to solve questions. Jean$-$Rene wants to make a lump$-$sum deposit today such that at the end of every three months for the next five years he can receive a payment starting at $$2,500$ and increasing by $1\%$ each time thereafter. At the end of the term, an additional lump$-$sum payment of $$10,000$ is required. If the annuity can earn $8\mathrm{.}75\%$ compounded semi$-$annually, what lump sum should he deposit today?