Ten years ago, Hailey invested $$1,100$ and locked in a $8$ percent

annual interest rate for $30$ years $($end $20$ years from now$).$ Aidan

can make a $20-$year investment today and lock in a $9$ percent

interest rate. How much money should he invest now in order to have

the same amount of money in $20$ years as Hailey?$($Do not round

intermediate calculations and round your final answer to $2$ decimal

places.$)$ Present value $