Appreciation Calculator Formula

Understand the math behind the appreciation calculator. Each variable explained with a worked example.

Use the Appreciation Calculator

Formulas Used

Projected Future Value

future_value = current_value * pow(1 + annual_appreciation / 100, holding_years)

Total Appreciation Amount

total_appreciation = current_value * pow(1 + annual_appreciation / 100, holding_years) - current_value

Total Appreciation Percentage

total_appreciation_pct = (pow(1 + annual_appreciation / 100, holding_years) - 1) * 100

Variables

VariableDescriptionDefault
current_valueCurrent Property Value(USD)350000
annual_appreciationAnnual Appreciation Rate(%)3.5
holding_yearsHolding Period(years)10

How It Works

Projecting Property Appreciation

Property appreciation is the increase in value over time, typically modeled using compound growth.

Formula

Future Value = Current Value x (1 + Annual Rate)^Years

Historical Context

  • US residential real estate has averaged roughly 3-4% annual appreciation over the long term
  • Individual markets and time periods vary significantly
  • Appreciation is not guaranteed and can be negative in some years

    • Worked Example

    A $350,000 property appreciates at 3.5% annually for 10 years.

    current_value = 350000annual_appreciation = 3.5holding_years = 10
    1. 01Growth factor: (1 + 0.035)^10 = 1.4106
    2. 02Future value: $350,000 x 1.4106 = $493,706
    3. 03Total appreciation: $493,706 - $350,000 = $143,706
    4. 04Total appreciation percentage: 41.1%

    Ready to run the numbers?

    Open Appreciation Calculator