Newman Corp. plans to contribute cash to a pension fund that will accumulate to an amount sufficient to pay its new employee a pension benefit of $$20,000$ per year for $20$ years. Payments will commence on the date of retirement, $25$ years from today. Newman calculates that the value of the annuity on the date the employee retires is $$261,706.$ Assuming an interest rate of $5\%,$ how much does Newman have to contribute today to fully fund the plan?