Most likely, you are speaking not with the lender but with the loan “servicer,” a company that collects monthly payments. A servicer does not own the loan, and without lender authority, it cannot change the loan’s terms and conditions.
If you made two payments each month, then the cost of administering the loan will be greater. Would you agree to a higher monthly expense if that allows you to make twice-monthly payments?
There’s a better and cheaper solution in this situation: Develop a budget.
Since the monthly payment is actually affordable, why not make up your own twice-monthly program?
Set aside the equivalent of half your monthly mortgage payment, place it in a savings account, and then combine the saved cash with the money you normally can pay when the next loan payment is due. Then save up again and repeat the process month after month.
If you need assistance developing a savings plan, speak with a fee-only financial planner.
Also, biweekly mortgages are available. With such financing, you make a payment equal to half the loan amount every two weeks. Since there are 52 weeks in a year, you will have to make 26 payments, or the equivalent of 13 monthly payments. By paying more per year, the loan term is reduced and the lifetime cost of the mortgage is substantially lowered.
A cautionary note: There are third parties who will set up biweekly programs for various fees and charges. However, they are not lenders. If you want a biweekly mortgage, be sure to send money only to the lender who actually funds your loan.