An agreement stipulates payments of $$4100,$ $$2800,$ and $$5700$ in $4,8,$ and $12$ months, respectively, from today.

What is the highest price an investor will offer today to purchase the agreement if he requires a minimum rate of return of $10\mathrm{.}5\%?($Do not round the intermediate calculations. Round your answer to $2$ decimal places.$)$

Price $