A small business owner visits her bank to ask for a loan. The owner states that she can repay a loan at $$2,700$ per month for the next three years and then $$5,400$ per month for two years after that. If the bank is charging customers $9\mathrm{.}25$ percent APR, how much would it be willing to lend the business owner?

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