Ashley borrows $100,000$ for $10$ years at an annual effective interest rate of $11\%.$ At the end of each year, she pays the interest on the loan and also deposits a level payment into a sinking fund. The sinking fund earns an annual effective interest rate of $7\%.$ At the end of $10$ years, the amount in the sinking fund is used to repay the loan. Calculate the total amount of the payments made by Ashley over the $10$ year period.