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Four years ago $100,000 was borrowed at 14% per year compounded annually, to be repaid in equal annual payments over 20 years. After the fourth payment (the present) the borrower is offered the opportunity to pay off the existing loan by borrowing the balance remaining under the following terms: the new loan at 12% compounded annually would require annual payments of $10,000 for the first five years followed by payments of $25,000 per year until the final year, when the balance remaining at the end of that year is to be completely paid off (interest on each loan is being charged on its remaining balance). How many years from the present would the final payment made if the new loan of 12% compounded annually were undertaken?
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