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Rent-versus-buy comparison — target home purchase price

Compare modeled rent with purchase cash, mortgage costs, fees and home value over time. Numerically solve for home purchase price from a desired monthly owner payment estimate, within your chosen search range.

Five planning modes, one calculator topic

These modes share an underlying model, not five unrelated formulas. This advanced mode is excluded from search indexing. Visit the main rent-versus-buy comparison calculator for the topic overview.

Planning mode: Numerically solve for home purchase price from a desired monthly owner payment estimate, within your chosen search range. Adjust the inputs to fit your situation. Related tools share an underlying model, with distinct calculation, reverse-solve, comparison and sensitivity functions.

Your numbers

$

Find home purchase price while holding your other settings constant.

$
$
$
%
%
years
%
$
%

Required home purchase price

$400,000

Closest modeled result: $2,539.28.

Target headline value
2,539.28
Calculated headline value
$2,539.28
Absolute target difference
0
Rent per month
$2,200
Mortgage P&I
$2,022.62
Property tax
$366.67
Home insurance
$150
Illustrative loan balance
$0
Hypothetical home value after 30 years
$724,544.63
Equity at end of mortgage term (before selling costs)
$724,544.63

Assumptions to check

  • Excludes maintenance, closing, appreciation uncertainty, tax treatment and return on cash.
  • The equity comparison uses the full entered mortgage term; it is not a net-worth or investment-return comparison.
  • Requires a monotonic headline response within the chosen range. Rounded outputs, thresholds and discontinuities limit precision.

How this is calculated

Bounded bisection search for home purchase price, holding other inputs constant. Compare rent with principal, interest, entered property tax and insurance.
  1. 1Evaluate the chosen range and numerically narrow the solution.
  2. 2Return the closest input at the allowed precision; a whole-unit solution may not exactly reach the target.

Assumptions and limits

  • Excludes local transaction costs, repairs, tax benefits, rent investments and market risk; not a purchase recommendation.
  • Excludes maintenance, closing, appreciation uncertainty, tax treatment and return on cash.
  • The equity comparison uses the full entered mortgage term; it is not a net-worth or investment-return comparison.
  • Requires a monotonic headline response within the chosen range. Rounded outputs, thresholds and discontinuities limit precision.

Practical guide

Understanding rent-versus-buy comparison — target home purchase price

Everyday editorial team · GEOINNOVATION CO., LTD · Published · Updated

What this calculation is for

A rent-versus-buy comparison begins by distinguishing recurring cash cost from wealth accumulation. Mortgage principal builds equity, whereas interest, tax and insurance are costs, so equal monthly outlays do not imply equal long-term outcomes.

How the method works

The recurring ownership amount combines mortgage principal and interest with entered tax and insurance. The tool separately shows a hypothetical property value at the end of the full mortgage term. The displayed model uses: Compare recurring rent with mortgage, tax and insurance; estimate equity from loan amortization and home-value change.

A worked example

For an illustrative rent-versus-buy comparison scenario, use Monthly rent: 2200 $; Home purchase price: 400000 $; Down payment: 20 %; Mortgage APR: 6.5 %; Mortgage term: 30 years; Annual property tax rate: 1.1 %; Annual home insurance: 1800 $; Annual home appreciation assumption: 2 %. The modeled monthly owner payment estimate is $2,539.28. These are example assumptions, not current prices, official benefit amounts or personalized advice.

Assumptions and real-world differences

This is not a complete net-worth comparison. Closing and sale costs, upkeep, rent increases, investment returns on unused cash, taxes and uncertain appreciation can change the outcome. Excludes local transaction costs, repairs, tax benefits, rent investments and market risk; not a purchase recommendation.

Solving for home purchase price

This reverse calculation searches for a home purchase price that makes the model’s headline measure approach your target. Set a lower and upper search bound, leave the other assumptions consistent, and inspect the achieved result and target difference. The returned number is an input, not the original model’s output. A bounded solution can be approximate when the allowed input step rounds values.

Reproduce this tool’s example

These fixed example inputs are independent of edits you make above. Enter them in this tool to reproduce the result, then replace them with your own assumptions.

Target: monthly owner payment estimate
2,539.28 $
Minimum home purchase price
200,000 $
Maximum home purchase price
600,000 $
Monthly rent
2,200 $
Down payment
20 %
Mortgage APR
6.5 %
Mortgage term
30 years
Annual property tax rate
1.1 %
Annual home insurance
1,800 $
Annual home appreciation assumption
2 %

Required home purchase price: $400,000

Closest modeled result: $2,539.28.

  • Target headline value: 2,539.28
  • Calculated headline value: $2,539.28
  • Absolute target difference: 0

Frequently asked questions

Does a lower owner payment prove buying is better?
No. Upfront capital, flexibility, risk and costs omitted from the simplified comparison also matter.
Which inputs should I check before using this rent-versus-buy comparison estimate?
Check monthly rent, home purchase price, down payment, mortgage apr, mortgage term, annual property tax rate, annual home insurance, annual home appreciation assumption. Match each field’s unit and time period, then compare the detailed rows rather than treating the headline alone as the complete answer.
Why might there be no exact required home purchase price?
The target may be outside the search range. Rounded outputs, whole-item counts, tax thresholds and flat responses can also prevent an exact solution. Bisection requires a monotonic response within the chosen range; do not interpret a failed search as a real-world impossibility.

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