Ten years ago, Hailey invested $$1,900$ and locked in an annual interest rate of $7$ percent for $30$ years $($ending $20$ years from now$).$ Aidan can make a $20-$year investment today and lock in an interest rate of $8$ percent.

How much money should he invest now in order to have the same amount of money in $20$ years as Hailey?

Note: Do not round intermediate calculations. Round your answer to $2$ decimal places.

Present value