Conchita wants to create a scholarship fund by saving for several years before the fund starts making annual scholarship payments forever. She plans to save $$226,000\mathrm{.}00$ per year for $7$ years. Her first savings contribution is expected in $1$ year. What is the expected amount of the scholarship payment that the fund will make in $8$ years if the fund is expected to have a return of $7\mathrm{.}84$ percent per year, make annual scholarship payments that grow annually by $2\mathrm{.}42$ percent forever, and make its first scholarship payment in $8$ years?

$$117,290\mathrm{.}26($plus or minus $10$ dollars$)$

$$108,763\mathrm{.}22($plus or minus $10$ dollars$)$

$$89,497\mathrm{.}42($plus or minus $10$ dollars$)$

$$96,514\mathrm{.}02($plus or minus $10$ dollars$)$

none of the answers are within $10$ dollars of the correct answer