You are retiring today. You have a total of $$387,419$ in your retirement savings and have the funds invested at a guaranteed $3\mathrm{.}68$ percent, compounded monthly. You want to withdraw $$1,500$ at the beginning of every month, starting today. You also want the withdrawals to stop when your account balance declines to $$100,000.$ For how many years can you make withdrawals?

Multiple Choice

$36\mathrm{.}52$ years

$34\mathrm{.}43$ years

$34\mathrm{.}22$ years

$35\mathrm{.}24$ years

$36\mathrm{.}22$ years