Continuous Payment Mortgage

A continuous payment mortgage is a loan repayment calculation in continuous time. It calculates the payment requirements assuming the repayments were to occur continuously, for example as a constant stream or as a infintesimally small time, for example per day over a 30 year term. Continuous payment mortgages are not actual contracts but are useful algorithms for some financial optimisations.

Continuous payment mortgage characteristics are calculated below using any 3 of the supplied inputs below:

With rate, term and principal — find payment:

With rate, payment and prinicpal — find term:

With payment, term and principal — find rate:

With payment, term and rate — find principal:

Future balances given rate using minimum and selected payment