An investment that pays $$12,500$ a year at an annual interest rate of $5\mathrm{.}45$ percent costs $$150,000$ today. What is the length of the investment time period?

An investment that pays $$12,500$ a year at an annual interest rate of $5\mathrm{.}45$ percent costs $$150,000$ today. What is the length of the investment time period?

$20$ years

$22$ years

$18$ years

$25$ years

$15$ years