# Appreciation Calculation: Definition, Formula and Example

To calculate appreciation as a dollar amount, subtract the initial value from the final value. To calculate appreciation as a percentage, divide the change in the value by the initial value and multiply by 100. For example, say your home was worth \$110,000 when you bought it, and now its fair market value is \$135,000.
1. Find the dollar amount. Final value – Initial value = Change in value in dollars. …
2. Find the percentage. (Change in value / Initial investment) 100 = appreciation percentage. …
3. Evaluate the information.

## What is the formula for calculating appreciation?

Depending on the data you have available, there are two formulas for calculating appreciation: the current appreciation formula and the predicted future appreciation formula. You can determine the current appreciation value of an investment if you only know its initial value and current value. You can determine the estimated future appreciation value if you know the current value and the average annual appreciation rate.

Some investments don’t have a lot of readily accessible public data, so you might only have the initial value and the final value to work with. Think about a scenario in which you buy a boat that was specifically designed for you. The only information you have is the initial price you paid for the boat and the final price you can sell it for today because there aren’t any comparable boats to compare it to. You can determine the dollar value or percentage of appreciation using this information. The formula for current appreciation value looks like this:

### Dollar amount

Final value minus starting value equals dollar-based change in value.

### Percentage

(Change in value / Initial investment) 100 = appreciation percentage

Since people have been estimating the appreciation for this kind of investment for a long time, other investments may have a wealth of historical public data that you can use. For instance, there is enough information to know the typical appreciation rate for homes in a particular area because investors have calculated real estate appreciation values for decades. Investors can predict the future value of a home in one neighborhood versus another using this historical data. The following is the formula for the anticipated future appreciation value:

### Appreciation rate:

(1.0 + appreciation rate)N number of years = appreciation factor

(Appreciation factor)(current value) = appreciation value after N years

## What is appreciation?

The difference between an investment’s past value and either its present value or its future value is known as appreciation. An investment appreciates in value over a predetermined period of time, and this increase is expressed as a dollar amount or a percentage. Real estate is a typical example of appreciation, and there is a wealth of current and past data readily available. You can estimate the property’s future value by using past and present values to determine appreciation, research current appreciation rates, determine the property’s average annual appreciation rate, and look up current appreciation rates.

Knowing how to calculate an item’s appreciation value can help you determine whether a specific investment, such as commercial real estate, is worthwhile. For instance, to determine which office building is a better long-term investment because it will have a higher resale value in the future, you could compare the appreciation value of the two different buildings.

Appreciation can be influenced by elements such as inflation, improvements, or a rise in demand for that kind of property. Depreciation, which occurs when the value of an investment declines over a predetermined period of time, is the opposite of appreciation. Depreciation may be influenced by undesirable factors such as deflation, deterioration, a drop in demand for that kind of property, or other factors. Depreciation is a crucial consideration when making decisions regarding significant purchases and investments.

## How to calculate future appreciation

Using an appreciation rate, you can add 1 to determine the anticipated future appreciation of an investment. Add 0 to the annual appreciation rate, multiply that figure by the anticipated number of years, and finally multiply that result by the current value. Here are the steps broken down:

### 1. Find the appreciation factor

Replace the values in the formula with the values you are aware of in the first part of the future appreciation formula. Using the aforementioned example, you now understand that your office space’s historical appreciation rate is 3. 8%. Alternatively, you can research your home’s historical appreciation rate online. This rate can be used to determine an estimation of the office space’s value in five years.

(1.0 + appreciation rate)N number of years = appreciation factor

(1.0 + 0.038)5 =

(1.038)5 =

1.21

### 2. Find the future value

Take the second part of the formula for future appreciation and replace the formula’s values with the values you are familiar with. After figuring out the appreciation factor, you can combine that value with the other data you already have.

(Appreciation factor)(current value) = appreciation value after N years

(1.21)(\$410,000) =

\$496,100

### 3. Evaluate the information

You can estimate the future appreciation of your office space five years from now by looking at the formula you just solved. Your office space is currently worth \$410,000, and it will increase by \$1 in value. 21 times, with a five-year sales value of \$496,100 It’s crucial to keep in mind that this value is an estimate based on the 3 historical appreciation percentage assumption. 8% will not change. The formula does not account for changes in the economy or other mitigating factors.

## How to calculate current appreciation

The formula for calculating appreciation is a simple algebraic equation. You take the investment’s final value and subtract its initial value to determine the dollar amount of the appreciation to determine the value change. Take the initial value, divide it by the value change, and multiply the result by 100 to get the percentage amount of an investment’s growth. Here are the steps broken down:

### 1. Find the dollar amount

Substitute the values in the formula for the dollar amount for the values you are familiar with. For instance, you paid \$395,000 for an office building that now has a value of \$410,000.

Final value minus starting value equals dollar-based change in value.

\$410,000 – \$395,000 = \$15,000

### 2. Find the percentage

Use the percentage formula and replace the formula’s values with the values you are aware of.

(Change in value / Initial investment) 100 = appreciation percentage

(\$15,000 / \$395,000) 100 =

(0.038) 100 =

3.8%

### 3. Evaluate the information

You can assess the value of your office space by looking at the formulas that were solved above. You paid \$395,000 for it, and it has increased in value by \$3. 8%, or \$15,000, makes the current value of the property \$410,000. You can use the formula for the average annual appreciation rate to project this home’s future value.

## When to use the appreciation formula

When deciding whether or not to make a significant investment, the current appreciation formula and estimated future appreciation formula are most frequently used. You can calculate how much your investment will increase over time if you intend to buy a commercial building or a piece of land.

Say, for instance, that you want to buy an industrial office and then sell it for a profit after seven years. You can estimate how much profit you’ll make when you sell that industrial office in seven years using the estimated future appreciation formula. Additionally, you might want to determine the resale value after just five years and after 12 years. You may decide that it is worthwhile to wait 12 years to sell the industrial office in order to make a larger profit once you see the different appreciation values for five, seven, and 12 years. At that point, you can make the appropriate plans.

## Appreciation formula example

Here is an appreciation example about workplace equipment:

### Current appreciation

The steps below will help you determine the current appreciation of your office equipment, such as a digital portable X-ray machine, that you purchased for \$115,000 five years ago but is now worth \$135,000 due to all the digital upgrades you’ve made:

Final value minus starting value equals dollar-based change in value.

\$135,000 – \$115,000 = \$20,000

(Change in value / Initial investment) 100 = appreciation percentage

(\$20,000 / \$135,000) 100 =

(0.15) 100 =

15%

Your X-ray machine has increased in value by 15% over the past five years as a result of all the upgrades you made and the average annual growth in value.

### Future appreciation

You can use the formula for future appreciation to determine the value by following these steps if you want to know the estimated value of your X-ray machine in five years and you know from public data that the estimated annual average appreciation value for X-ray medical equipment is 2%.

(1.0 + appreciation rate)N number of years = appreciation factor

(1.0 + 0.02)5 =

(1.02)5 =

1.10

(Appreciation factor)(current value) = appreciation value after N years

(1.10)(\$135,000) =

\$148,500

If the average annual appreciation rate remains constant and no unanticipated economic or extenuating circumstances arise, in five years your X-ray machine will have increased in value from \$135,000 to \$148,500.

## FAQ

How do you calculate appreciation over time?

Calculating appreciation as a percentage is the best method. You must multiply by 100 and divide the value change by the initial cost.

How do I calculate home appreciation?

The simplest way to calculate home appreciation is to multiply the initial cost of the home by 100 and divide the change in value by that number. This will allow you to see the change as a percentage. Let’s say, for illustration, that the market value of your home rose from \$200,000 when you bought it to \$225,000.

How do you calculate appreciation and depreciation?

The rate at which an asset increases in value is known as its appreciation rate. An increase in the value of financial assets, such as stocks, is referred to as capital appreciation. When a currency appreciates, it means that its value increases in relation to other currencies on the foreign exchange markets.

What is the rate of appreciation?

The rate at which an asset increases in value is known as its appreciation rate. An increase in the value of financial assets, such as stocks, is referred to as capital appreciation. When a currency appreciates, it means that its value increases in relation to other currencies on the foreign exchange markets.