Appreciation Calculator
The Appreciation Calculator shows how an asset grows in value over time through compound appreciation. Enter the original value, an annual appreciation rate, and a number of years to see the future value and total gain. The formula used is: FV = PV(1 + r)^n.
Formula
FV = PV(1 + r)^n
- The Appreciation Calculator updates instantly as you change the value, rate, or number of years.
- Formula: FV = PV(1 + r)^n
- Input definitions: • Original Value: the asset's starting value today • Annual Appreciation %: the yearly growth rate (enter 5 for 5%) • Years: how long the asset appreciates
- Appreciation here is compounded annually, so each year's growth is applied on top of the previous year's value.
- Appreciation Gain = future value − original value.
- Real appreciation rates vary year to year; this assumes a constant rate for the whole period.
Example Calculation
Inputs
- Original Value (PKR): 1000000
- Annual Appreciation %: 5
- Years: 10
An asset worth 1,000,000 appreciating 5% per year for 10 years grows to 1,000,000 × (1.05)^10 ≈ 1,628,895, a gain of about 628,895.
Frequently asked questions
What does appreciation mean?
Appreciation is the increase in an asset's value over time, such as property or collectibles rising in worth.
How is future value calculated?
It compounds annually: FV = PV × (1 + r)^n, where r is the annual rate and n is the number of years.
How do I enter the rate?
Enter the annual appreciation as a plain percentage — for example, type 5 for 5% per year.
What is the appreciation gain?
It is the future value minus the original value, showing how much the asset increased in total.
Does this account for inflation?
No. It shows nominal appreciation. To find real growth, subtract the inflation rate from your appreciation rate.