Mortgage & home buying · Calculation notebook

Rent vs buy calculator: formulas, examples and mathematical principles

Learn the inputs, formula and worked example behind the Rent vs buy calculator, including a cash-flow waterfall and scenario sensitivity, result interpretation, assumptions and sources.

Open calculator By Toolify · Updated

Purpose and steps

Buying net cost = down payment + cumulative ownership spending − ending home equity. Renting net cost = cumulative rent − investment gains on the saved down payment. Compare at each year. The calculation runs locally and keeps cash-flow timing consistent with the stated assumptions.

  1. Confirm currency and monthly versus annual amounts. U.S. tax and loan models should be used within their stated scope.
  2. Prepare Home price, Down payment, Annual interest rate, Loan term, Annual property tax rate, Annual homeowners insurance, Monthly HOA dues, Years in the home, Current monthly rent, Annual rent increase, Annual maintenance / home value, Annual home appreciation, Return on invested down payment. Defaults demonstrate the model rather than your personal circumstances.
  3. Check the headline result and its components. A key interpretation for this tool is: A positive renting-minus-buying difference means buying is cheaper under these assumptions.
  4. Compare the baseline with a changed scenario: Negative net ownership cost can reflect appreciation, not spendable income.

Input reference and units

These values reproduce the model’s demonstration. Replace them with your own records or measurements; they are not recommended targets.

On a small screen, swipe the table horizontally to see all columns.

Parameters used by this calculator
ParameterDemonstration valueHow to enter it
Home price400000 USDUse dollars and the monthly or annual period stated in the field label; do not enter thousands of dollars.
Down payment20 %Check the unit carefully: some tools use a percentage and others a cash amount.
Annual interest rate6.5 %Enter a percentage such as 6.5, not 0.065. The equation converts it to a decimal.
Loan term30 yearsUse years here. The model converts to months when the payment schedule requires it.
Annual property tax rate1.2 %Enter a percentage such as 6.5, not 0.065. The equation converts it to a decimal.
Annual homeowners insurance1800 USDUse dollars and the monthly or annual period stated in the field label; do not enter thousands of dollars.
Monthly HOA dues0 USDUse dollars and the monthly or annual period stated in the field label; do not enter thousands of dollars.
Years in the home10 yearsUse years here. The model converts to months when the payment schedule requires it.
Current monthly rent2000 USDUse dollars and the monthly or annual period stated in the field label; do not enter thousands of dollars.
Annual rent increase3 %Enter a percentage such as 6.5, not 0.065. The equation converts it to a decimal.
Annual maintenance / home value1 %Enter a percentage such as 6.5, not 0.065. The equation converts it to a decimal.
Annual home appreciation3 %Enter a percentage such as 6.5, not 0.065. The equation converts it to a decimal.
Return on invested down payment5 %Enter a percentage such as 6.5, not 0.065. The equation converts it to a decimal.

Model-specific method

How this calculator produces its result

Buying net cost = down payment + cumulative ownership spending − ending home equity. Renting net cost = cumulative rent − investment gains on the saved down payment. Compare at each year.

A cash-flow waterfall and scenario sensitivity

Income and costs form successive layers. Subtracting financing before computing NOI changes the definition and distorts cap-rate comparisons. Principal repayment uses cash but can also build equity, so a tax profit, operating profit and cash-flow result may legitimately differ.

Sensitivity analysis changes one assumption while keeping the others fixed. If yearly potential rent is G, a one-percentage-point vacancy increase directly reduces collected rent by G×0.01, before variable expense offsets. Combined stress scenarios are also important: vacancy, maintenance and borrowing costs can worsen together.

Effective income = potential income × (1 − vacancy)
NOI = effective income − operating expenses
Cash flow = NOI − debt service
DSCR = NOI / debt service
  • Potential income: before vacancy or collection loss
  • NOI: net operating income before financing
  • Debt service: contractual principal and interest payments
  • Cash flow: money remaining after the modeled payments

Worked example

On a $400,000 home with 20% down, $80,000 becomes equity at purchase. The renting scenario keeps that $80,000 invested; at 5% annual return it earns $4,000 in the first year.

Reproduce the default scenario

This is a separate example, calculated using the exact engine on the tool page and the defaults in the input reference above. Health examples use metric units. Displayed rounding may differ from intermediate precision.

Renting minus buying net cost
49,508.22 USD
Buying net cost
175,313.31 USD
Renting net cost
224,821.53 USD
Home equity at selected year
266,282.95 USD
First buying break-even year (up to 50 years)
1
Mortgage payment before payoff
2,022.62 USD

Reading results without overstating them

  • A positive renting-minus-buying difference means buying is cheaper under these assumptions.
  • Negative net ownership cost can reflect appreciation, not spendable income.

Assumptions and exclusions

  • Excludes PMI, purchase/sale closing costs and tax benefits. Only the down payment is invested in the renting case; ongoing cost differences are not reinvested. The first break-even year is not a guarantee that buying stays cheaper.
Test a changed assumption in the calculator

Sources and content notes

Toolify describes the implemented algorithm and its assumptions. Sources below support the topic or applicable rules; they do not endorse this calculator. Examples are illustrative, and published rules take precedence over simplified estimates.

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