# how to compute mortgage payoff

The formula for estimating mortgage payoff is as follows:M = P [ i (1 +i)^n ] / [ (1 +i)^n 鈥?1]P = principal loan amount. i = monthly interest rate. n = number of months required to repay the loan. But don鈥檛 worry; online mortgage calculators do the math for you.

• ### How does the mortgage payoff calculator work?

• The Mortgage Payoff Calculator and the accompanying Amortization Table illustrate this precisely. Once the user inputs the required information, the Mortgage Payoff Calculator will calculate the pertinent data. Aside from selling the home to pay off the mortgage, some borrowers may want to pay off their mortgage earlier to save on interest.

• ### How do you calculate the amount of a mortgage payment?

• To do the calculations yourself, you will need to divide this number by twelve (0.03 / 12 = 0.0025), because mortgage interest compounds monthly. The total number of payments for the life of the loan, which for monthly payments is the number of years times twelve (for example, 20 years = 240 payments).

• ### How much does it cost to pay off a mortgage?

• With a 30-year, \$100,000 loan at 5 percent interest, scheduled mortgage payments are \$536.82. At the same rate, but on a 15-year payoff schedule, principal and interest payments are \$790.79. That’s \$254 more a month, but ownership of the real estate is granted in a much shorter time and less interest is paid.

• ### What is the formula for calculating payoff balance?

• 1 B = L [ (1 + c)^n – (1 + c)^p] / [ (1 + c)^n (- 1)] , in which: 2 B = payoff balance due (\$) 3 L = total loan amount (\$) 4 c = interest rate (annual rate / 12) 5 n = total payments (years x 12 for monthly payments) 6 p = number of payments made so far