Methodology

Full mathematical specification and methodology behind our rent vs buy calculator

Mathematical Formulation

Buyer's Net Wealth at Year T

buyerNetWealth(T) = propertyValue(T) - remainingMortgageBalance(T) - sellingCosts(T)

Where:

  • propertyValue(T) = propertyPrice × (1 + houseAppreciation)^T
  • remainingMortgageBalance(T) calculated using standard amortisation schedule
  • sellingCosts(T) = propertyValue(T) × sellingCostsAgent% + sellingCostsLegal

Renter's Net Wealth at Year T

renterNetWealth(T) = initialDepositInvested(T) + cumulativeMonthlyDifferentialInvested(T)

Where:

  • initialDepositInvested(T) = (deposit + buyingCostsAvoided) × (1 + investmentReturn)^T
  • buyingCostsAvoided = SDLT + legalFees + surveyFees + mortgageArrangementFee

Monthly Differential Calculation

For each month m from 0 to T×12:

  • monthlyBuyerCost(m) = mortgagePayment + maintenance + insurance + serviceCharges (when mortgage active)
  • monthlyRenterCost(m) = rent × (1 + rentGrowth)^(m/12)
  • differential(m) = max(0, monthlyBuyerCost(m) - monthlyRenterCost(m))

Asymmetry Assumption

When renter's monthly cost exceeds buyer's cost, differential is set to 0. This reflects that buyers cannot notionally "save" money when their committed mortgage payments are lower than market rent — the mortgage commitment remains fixed regardless.

UK 2026 Default Values

ParameterDefault ValueSource/Rationale
Property Price£268,000ONS HPI Feb 2026 UK average
Deposit10% (£26,800)UK convention for first-time buyers
Mortgage Rate5.75%Moneyfacts avg 5-year fix April 2026
Mortgage Term25 yearsUK convention
Monthly Rent£1,377ONS PIPR March 2026 UK average
Rent Growth3.4% p.a.ONS PIPR YoY March 2026
House Appreciation1.2% p.a.ONS HPI YoY Feb 2026
Investment Return5.0% p.a.Conservative real-return assumption (60/40 portfolio)
Maintenance Rate1.5% of value p.a.Midpoint of 1% rule and ~3% recent actuals
Time Horizon25 yearsMatch mortgage term

Advanced Cost Assumptions

Upfront Costs

  • Legal Fees: £1,500 (combined solicitor + searches)
  • Survey Fees: £500 (homebuyer's report)
  • Mortgage Arrangement: £1,000 (typical)
  • SDLT/LBTT/LTT: Calculated per region and buyer type

Ongoing Costs

  • Buildings Insurance: £30/month (UK average)
  • Service Charge: £0/year (leasehold flag)
  • Ground Rent: £0/year (leasehold flag)
  • Estate Agent Fee: 1.5% of property value
  • Legal Fees on Sale: £1,000

Regional Tax Calculations

The calculator incorporates the complete SDLT, LBTT, and LTT calculation engines to provide accurate tax calculations across all UK regions:

  • England & Northern Ireland: SDLT with April 2025 rate changes, FTB relief up to £300k (properties up to £500k), 5% additional property surcharge
  • Scotland: LBTT with FTB relief up to £175k, 6% additional dwelling supplement
  • Wales: LTT with no FTB relief, 4% higher rates surcharge

Break-Even Calculation

The break-even year is the first year T where:

buyerNetWealth(T) ≥ renterNetWealth(T)

If no such year exists within the time horizon, the calculator returns null and displays "Renting wins over the full horizon at these inputs".

Edge Cases & Validation

  • Deposit > Property Price: Validation error prevents submission
  • Mortgage Term Complete: After mortgage is paid off, buyer pays only maintenance/insurance/service charges
  • Input Boundaries: Property price £50k–£5m with warnings, mortgage rate 1%–15% with warnings
  • Leasehold Properties: Service charge > £0 prompts leasehold confirmation and explanation
  • Regional Variations: Scotland/Wales selector drives correct LBTT/LTT calculations

Update History

Last updated: 8 May 2026

Initial methodology publication with UK 2026 defaults

Author & Review

Methodology developed by: Rent vs Buy Calculator Team

Last reviewed: 8 May 2026 | Reviewed by financial modelling specialists