Suppose you start saving today for a $$45,000$ down payment that you plan to make on a house in $6$ years. Assume that you make no deposits into the account after the initial deposit. For the account described below, how much would you have to deposit now to reach your $$45,000$ goal in $6$ years.

An account with daily compounding and an APR of $4\%$

You should invest $$.$

$($Do not round until the final answer. Then round to two decimal places as needed.$)$