Suppose 2 years ago a borrower borrowed a FRM loan at 12% IRR with monthly payments for an initial balance of $100000 with 20 years term. Further suppose that the current interest rate available in the market is 6%. the borrower could refinance the loan at 6% interest but keep the same monthly payments and reduce the number of months needed to amortize the debt. What will be the new months needed to amortize the debt?

*Please show work on by using a financial calculator and formula, not by Excel sheet.