Jacques received the proceeds from an inheritance on March $15.$ He wants to set aside, in a term deposit on March $16,$ an amount sufficient to provide a $$45,000$ down payment for the purchase of a home on November $1.$

If the current interest rate on $181-$day to $270-$day deposits is $5\%,$ what amount should he place in the term deposit? $($Do not round intermediate calculations and round your final answer to $2$ decimal places.$)$