Five years ago, a person borrowed $$100,000$ at an interest rate of $8\%$ per Year compounded semiannually. When he borrowed the money, he stated that he would pay it over ten years in semi$-$annual payments. He made his sixth payment today and has decided to refinance the balance and pay it quarterly over the next four years. If his new interest rate is $6\%$ per Year compounded quarterly, what would be this person's new quarterly payment?