A Luke makes a series of payments at the beginning of each year for 20 years. The first payment is $100 it occurs today. Each subsequent payment through the tenth payment increases by %5 from the previous payment. After the tenth payment, each payment decreases by %5 from the previous payment. Calculate the accumulated value of these payments at time 20 years using a nominal interest rate is 12% convertible quarterly for the first ten years and the annual effective interest rate is 8% for the last ten years.