How home appreciation is calculated
Appreciation compounds: each year’s increase is applied to the value at the end of the year before.
The formula
Future value = current value × (1 + yearly rate) ^ years
Worked example
A $400,000 home appreciating 4% a year is worth about $592,000 after 10 years.
How to use this calculator
Enter your home’s current value, a yearly appreciation rate and the number of years. The home appreciation calculator projects the future value and lists the value year by year. Try more than one rate, because nobody knows what the rate will be.
What the result means
The result is a projection, not a forecast. It shows what the home would be worth if it rose by the same rate every year. Real prices move unevenly, with strong years, flat years and falling years. The figure is in future dollars, so part of the increase is general inflation and not a gain in buying power.
Appreciation is also not the same as profit. When you sell, commission, closing costs and your remaining mortgage come out of the price.
More examples
Year by year
At 4%, a $400,000 home is worth $416,000 after one year. The second year’s 4% applies to $416,000, giving $432,640. That is $640 more than adding a flat $16,000 twice, and the gap widens every year.
$400,000 at three rates
| Years | 3% a year | 4% a year | 5% a year |
|---|---|---|---|
| 5 | $463,710 | $486,661 | $510,513 |
| 10 | $537,567 | $592,098 | $651,558 |
| 20 | $722,444 | $876,449 | $1,061,319 |
| 30 | $970,905 | $1,297,359 | $1,728,777 |
These rates are examples for comparison, not predictions for any market.
Finding a past rate
Suppose you bought for $300,000 and the home is worth $400,000 eight years later. The total increase is 33.3%. The yearly rate is (400,000 ÷ 300,000) ^ (1 ÷ 8) − 1, which is about 3.66% a year. You can check it by running the main formula forward: $300,000 growing 3.66% a year for eight years comes back to about $400,000.
What changes the result
- The rate. Small differences grow large over time. After 30 years, the 5% column is $757,872 higher than the 3% column.
- The number of years. Compounding speeds up. At 4%, the home gains about $192,000 in the first 10 years and about $284,000 in the second 10.
- The starting value. The result scales with it. Double the starting value and the future value doubles.
Common mistakes
- Multiplying the rate by the years. 4% for 10 years is not 40%. With compounding, the increase is about 48%.
- Projecting a recent hot year far into the future. One year is not a long-run rate.
- Counting money spent on improvements as appreciation. A home that rose $60,000 after a $40,000 addition did not appreciate by $60,000 on its own.
- Treating the future value as cash in hand. Selling costs and the mortgage come out first.
Related calculators
Turn a projected sale price into cash with the home sale proceeds calculator. If the gain is large, check the capital gains tax calculator. To see how appreciation affects the choice between renting and owning, try the rent vs buy calculator.
Frequently asked questions
What is a typical appreciation rate?
It varies widely by market and by period. Long-run US averages are in the low to mid single digits per year.
How do I find my past rate?
Yearly rate = (current value ÷ purchase price) ^ (1 ÷ years) − 1.
Is appreciation guaranteed?
No. Prices can fall as well as rise.
What is the difference between appreciation and equity?
Appreciation is the rise in the home’s value. Equity is the value minus what you owe. Equity grows from appreciation and from paying down your mortgage.
How long does it take a home’s value to double?
It depends on the rate. At a steady 4% a year it takes a little under 18 years. At a higher rate it takes less time, and at a lower rate more.
Does the result allow for inflation?
The formula gives a value in future dollars. To judge the gain in buying power, compare the appreciation rate you entered with the inflation rate over the same period.
Can I enter a negative rate?
The formula works with one. At −2% a year, a $400,000 home would be worth about $361,569 after five years.