A loan officer states, "Thousands of dollars can be saved by switching to a 15-year mortgage from a 30-year mortgage." Calculate the difference in payments on a 30-year mortgage at an interest rate of 1% a month versus a 15-year mortgage with an interest rate of 1.2% a month. Both mortgages are for $100,000 and have monthly payments. What is the difference in total dollars that will be paid to the lender under each loan? (Round the monthly payment amounts to 2 decimal places.) If you use the financial calculator, tell me your inputs and output (i.e. pv,fv,n, i/Y, pmt).

please write the steps and solve step by step