5. A corporation takes out a 20-year loan. Under the terms of the loan, the corporation will make level quarterly interest payments based on a nominal annual interest rate of 10% convertible quarterly. At the end of 20 years, the corporation will repay the entire principal balance of the loan in a lump sum. During the period of the loan, the corporation will make quarterly deposits to a sinking fund in order to accumulate a sum of money at the end of 20 years equal to the principal of the loan. The sinking fund earns interest at a nominal annual rate j convertible monthly. If the total amount the corporation pays each quarter (the loan interest payment plus the sinking fund deposit) equals the level payment for a 20-year loan of the same amount at an interest rate of 12% convertible quarterly, what is the value of j? A) 2.96% B) 3.06% C) 4.07% D) 4.10% E) 4.12%