CodesBeautify

Appreciation Calculator

Project what a house, a collection or any appreciating asset will be worth after a set number of years.

Inputs
Appreciation resultCalculated
Value after 10 years388,242.36
Formula
FVPV x (1 + r) ^ n
Inputs
  PV  starting value      250,000.00
  r   appreciation rate   4.50%
  n   years               10
Working
1 + r1 + 0.045 = 1.045
(1 + r) ^ n1.045 ^ 10 = 1.55296942
FV250,000.00 x 1.55296942 = 388,242.36
Results
  Future value            388,242.36
  Total appreciation      138,242.36
  Total change            55.30%
  Average gain per year   13,824.24
Runs locally in your browser

About the Appreciation Calculator

Appreciation is compound growth applied to the value of a thing rather than to a bank balance, and the arithmetic is identical: multiply the starting value by (1 + r) once for every year it grows. Feed in 250,000 at 4.5 percent for ten years and the answer comes back as 388,242.36, alongside the growth factor of 1.55296942 so you can check the figure against a spreadsheet cell.

Rates go in as percentages per year, so type 4.5 rather than 0.045 and the conversion happens for you. Negative rates are allowed, which quietly turns the same expression into a decline curve: minus 8 percent held for five years leaves an asset at about 66 percent of what it started at. Part years are fine as well, so a term of 2.5 is accepted and handled with a fractional exponent rather than being rounded.

What no formula can supply is confidence that the rate holds. A street that averaged 4 percent over the past decade may average 1 percent over the next, so read the number as a projection built on an assumption you chose. When an asset loses value on a schedule set by accounting rules instead of gaining it, the Depreciation Calculator follows the methods auditors expect. When you already know both ends and want the rate that connects them, the CAGR Calculator reverses this sum.

How to use

  1. Type the starting value of the asset.
  2. Set the annual rate as a percentage, using a minus sign for a falling value.
  3. Enter the number of years. Decimals such as 7.5 are accepted.
  4. Read the future value at the top, then check the Working block for the growth factor used.

Common questions

What is the appreciation formula?
FV = PV x (1 + r) ^ n, where PV is the starting value, r is the yearly rate as a decimal and n is the number of years.
Can I use this for a house?
Yes. Enter the purchase price and a yearly rate you trust. It ignores fees, taxes and renovations, so it shows the raw value curve only.
How do I model a value that falls?
Put a minus sign in front of the rate. The same expression then shrinks the value each year.
Why is the total change larger than the rate times the years?
Each year grows on top of the year before it. Ten years at 4.5 percent compounds to 55.3 percent in total rather than 45 percent.