A small US business owner visits her bank to ask for a loan. The owner states that she can repay a loan at $$1,250$ per month for the next three years and then $$1500$ per month for two years after that. If the bank is charging customers $12\%$ APR, how much would it be willing to lend the business owner?

Group of answer choices

$$59,963\mathrm{.}95$

$$45,058\mathrm{.}15$

$$61494\mathrm{.}65$

$$46,055\mathrm{.}21$