Phil owes $$750$ in $11$ months with simple interest at $11\%$ and $$1025$ due in $17$ months with simple interest at $8\mathrm{.}5\%.$ He has the option to repay the debt in one single payment in $12$ months with simple interest at $8\mathrm{.}25\%.$What is the value of the single payment if the focal date is on the day of this single payment?