Problem $6-48$ Variable Interest Rates $[$LO$1]$

A $20-$year annuity pays $$1,450$ per month, and payments are made at the end of each month. If the APR is $11$ percent compounded monthly for the first ten years, and APR of $7$ percent compounded monthly thereafter, what is the value of the annuity today? $($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

Present value