Enter the initial price, rate of appreciation, and number of periods into the calculator to determine the price appreciation.

Price Appreciation Formula

The following formula is used to calculate the price appreciation.

PA = P * ((1 + r)^n - 1)


  • PA is the price appreciation ($) P is the initial price ($) r is the rate of appreciation (decimal) n is the number of periods

To calculate the price appreciation, add 1 to the rate of appreciation and raise it to the power of the number of periods. Subtract 1 from the result and then multiply it by the initial price.

What is a Price Appreciation?

Price appreciation refers to the increase in the value of an asset or investment over time. This rise in price can be due to various factors such as increased demand, improved economic conditions, or positive changes in the perceived value of the asset. Price appreciation is a key indicator of profitability for investors, as it can result in capital gains when the asset is sold at a higher price than it was purchased.

How to Calculate Price Appreciation?

The following steps outline how to calculate the Price Appreciation using the given formula:

  1. First, determine the initial price (P) ($).
  2. Next, determine the rate of appreciation (r) (decimal).
  3. Next, determine the number of periods (n).
  4. Next, calculate (1 + r)^n.
  5. Finally, calculate the Price Appreciation (PA) using the formula PA = P * ((1 + r)^n – 1).
  6. After inserting the variables and calculating the result, check your answer with a calculator.

Example Problem:

Use the following variables as an example problem to test your knowledge:

Initial price (P) ($) = 100

Rate of appreciation (r) (decimal) = 0.05

Number of periods (n) = 3