Interest on a $20-$year loan is charged based on an annual effective rate of $10\mathrm{.}1\%.$

The loan is repaid by payments of $100$ at the end of each of the years $1$ through $5$ and each of the years $11$ through $20.$ During years $6$ through $10$ no payments are made.

Calculate the absolute value of the difference between the outstanding balance immediately after the payment in year $5$ and the outstanding balance immediately after the payment in year $15.$