Methodology (present value comparison)
PI = r × L / (1 − (1 + r)^(−n)) (fixed-rate mortgage)PV = Σ (CashFlow_t / (1 + d)^t) with discount rate dFAQ
What costs are included for owners?
Mortgage P&I, taxes, insurance, maintenance, HOA, purchase closing costs, selling costs, and net sale proceeds.
Why use present value?
PV accounts for timing of cash flows, allowing fair comparison of monthly expenses and future proceeds.
Formula (LaTeX) + variables + units
','
PI = r × L / (1 − (1 + r)^(−n)) (fixed-rate mortgage) PV = Σ (CashFlow_t / (1 + d)^t) with discount rate d For rent, invested cash (down payment + buyer closing costs) compounds at your assumed return and is netted against rent totals.
- P = principal (loan amount) (currency)
- r = periodic interest rate (annual rate ÷ payments per year) (1)
- n = total number of payments (years × payments per year) (count)
- M = periodic payment for principal + interest (currency)
- T = property tax (annual or monthly depending on input) (currency)
- I = homeowners insurance (annual or monthly depending on input) (currency)
- HOA = homeowners association dues (monthly) (currency)
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Last code update: 2026-01-19
- Initial audit spec draft generated from HTML extraction (review required).
- Verify formulas match the calculator engine and convert any text-only formulas to LaTeX.
- Confirm sources are authoritative and relevant to the calculator methodology.