mortgage repayment calculator

just now 1
Nature

A mortgage repayment calculator is a tool that helps estimate the monthly mortgage payment you need to make based on details like home price, down payment, loan term, and interest rate. It often includes estimating additional costs such as property taxes, homeowners insurance, and mortgage insurance to give a total monthly payment. Some calculators also allow input of extra payments to see how early the mortgage can be paid off and the interest savings. Key features generally include:

  • Input fields for home price, down payment, interest rate, and loan term.
  • Calculations for principal and interest payments.
  • Estimates for property taxes, homeowners insurance, and possibly HOA fees.
  • Option to include mortgage insurance if applicable.
  • Extra payment inputs for quicker payoff scenarios.
  • Amortization schedule to see how payments are split between principal and interest.

Mathematically, mortgage payments can be calculated with the formula:

M=P×r(1+r)n(1+r)n−1M=P\times \frac{r(1+r)^n}{(1+r)^n-1}M=P×(1+r)n−1r(1+r)n​

where MMM is the monthly payment, PPP is the principal loan amount, rrr is the monthly interest rate (annual rate divided by 12), and nnn is the total number of payments (loan term in years times 12 months).

Additionally, some mortgage calculators provide payoff calculators that show how additional payments or bi-weekly payments can reduce the loan term and save interest over the life of the loan.

Would a link to an online mortgage repayment calculator or a specific calculator recommendation be helpful? Or would guidance on how to manually calculate mortgage repayments be preferred?