A new software was purchased by your company. The initial payment for the software was $$10,000.$ Annual payments for maintenance will start in year $2$ of the software and are $$1000.$ The company will meet these terms for $5$ years before renegotiating the terms of the software. Using an assumed interest rate of $6\mathrm{.}6\%,$ what is the present value of the maintenance payments only on the software? Please show formulas used and submit the answer in dollar form. Thankyou!