Rent vs Buy Formula

Real Estate Formula • Published on July 30, 2026 • Last updated August 09, 2026

Mathematical Equation

$$\begin{aligned} \text{Buyer Net Wealth} &= \text{Home Equity} + \text{Invested Cash Surplus} \\ \text{Renter Net Wealth} &= \text{Invested Down Payment} + \text{Invested Cash Surplus} \end{aligned}$$

Variable Definitions

Home Equity

Current property value minus the outstanding loan balance

Invested Cash Surplus

Whichever side (buyer or renter) has lower monthly outlay invests the difference at the assumed investment return rate

Invested Down Payment

The renter's alternative — investing the down payment amount instead of using it to buy, grown at the investment return rate

Detailed Explanation

In-Depth Guide

This is a year-by-year wealth simulation rather than a single formula: each year, the buyer's wealth grows through mortgage principal repayment (building equity) plus property appreciation, while the renter's wealth grows by investing the money they would have spent on a down payment plus any monthly savings versus the buyer's EMI and upkeep costs. Comparing the two paths at the end of a chosen holding period, and finding the year they cross over, reveals which option builds more net wealth.

How to Calculate: Step-by-Step

1. Calculate the monthly EMI on the loan amount (Property Price − Down Payment). 2. For each year, amortize the loan to find remaining principal and update Home Equity as Property Value − Outstanding Loan. 3. Grow the property value annually by the assumed appreciation rate, and grow rent annually by the rent escalation rate. 4. Compare the buyer's annual outlay (EMI + maintenance + tax) against the renter's annual rent; whichever pays less invests the difference at the assumed investment return rate. 5. Sum Home Equity + any invested surplus for the buyer, and total invested amount for the renter, at each year. 6. The break-even year is the first year the buyer's net wealth overtakes the renter's.

Worked Calculation Example

Property Price = ₹60,00,000, Down Payment = ₹12,00,000, Loan Rate = 8.5%, Tenure = 20 years, Monthly Rent = ₹22,000, Rent Increase = 5%/yr, Appreciation = 6%/yr, Investment Return = 10%/yr, Stay Duration = 10 years: The simulation runs year-by-year amortization and investment growth; typically at these assumptions buying overtakes renting in net wealth somewhere around year 7-9, since home equity growth plus appreciation compounds faster than rent savings alone once enough principal is repaid.

Common Use Cases

  • Deciding whether to buy a home or continue renting and invest the difference
  • Understanding the break-even year at which buying becomes financially better
  • Testing sensitivity to appreciation rate, rent inflation, and investment return assumptions

Frequently Asked Questions

Not necessarily — even if renting has a lower monthly outlay initially, home equity accumulation and property appreciation can outweigh the renter's invested savings over a long enough holding period, especially as rent itself escalates each year.

The assumed property appreciation rate versus the assumed investment return rate is usually the most sensitive input — if you expect stock market returns to significantly exceed property appreciation, renting and investing tends to win over longer horizons.

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