Anthony decides to help his new niece attend a private college in $18$ years. The projected cost of tuition, fees, and room and board when she starts amounts to $$65,000$ per year. How much should Anthony invest each year for the next $18$ years to pay for the first$-$year costs? Assume $7\mathrm{.}5\%$ interest compounded annually. $($Round your final answer to two decimal places.$)$