Mortgage Payoff vs. Invest Calculator Methodology

This page explains how the calculator compares extra mortgage payments with investing the same cash flow, including interest saved, investment growth, home equity, liquidity, and net position.

What this calculator estimates

The calculator compares two paths over a selected time horizon: paying extra toward a mortgage and investing the same extra cash flow. It estimates mortgage balances, interest paid, investment balances, home equity, liquidity, and net position.

How the mortgage payment is calculated

If you enter a current principal and interest payment, the calculator uses that amount. If the field is blank, it estimates the payment from the current balance, interest rate, and years remaining using a standard amortized mortgage formula.

payment = principal * (monthlyRate * (1 + monthlyRate)^payments) / ((1 + monthlyRate)^payments - 1)

How the extra mortgage payoff path is simulated

The payoff path applies the normal mortgage payment, the extra monthly amount, and any lump sum to the mortgage. If the mortgage is paid off before the horizon and the redirect option is selected, the freed-up mortgage payment and extra amount are invested for the remaining months.

How the investing path is simulated

The investing path keeps the mortgage on its regular payment schedule and invests the extra monthly amount. The lump sum is invested in the selected month. If the scheduled mortgage is paid off before the horizon and the redirect option is selected, the regular mortgage payment is invested after payoff.

How investment returns, fees, and tax drag are handled

The model uses a steady monthly investment return based on the entered expected annual return minus the entered tax drag or fees. This is a simplified planning assumption, not a market forecast or guaranteed return.

How home equity is handled

Home value is estimated using the entered appreciation rate. Both paths own the same home, so appreciation affects both paths. Home equity equals estimated home value minus the remaining mortgage balance.

How net position is calculated

Net position is estimated as investment balance plus home equity. This highlights the tradeoff between lower mortgage balance, higher investment balance, and liquidity.

How the break-even investment return is estimated

The calculator tests annual investment return assumptions from -5% to 15% using a binary search. The break-even return is the approximate return where the payoff path and investing path produce a similar net position.

How liquidity is shown

The calculator shows the ending liquid investment balance in each path. Mortgage payoff may build home equity, while investing may leave more money in accessible accounts.

What is not included

This calculator does not include guaranteed investment returns, market volatility modeling, exact tax deductions, exact itemized deduction treatment, mortgage prepayment rules unless entered, investment account eligibility, brokerage fees not entered, inflation unless reflected in your assumptions, or professional financial, investment, tax, legal, or mortgage advice.

Educational disclaimer

These calculators are for educational purposes only and are not financial, tax, legal, insurance, investment, real estate, employment, medical, childcare, vehicle-buying, or professional advice.

This calculator uses user-entered assumptions and simplified steady-return modeling. Real investment returns vary, and tax treatment can materially affect the result. It is educational only and is not financial, investment, tax, legal, mortgage, or professional advice.

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