Enter the principal, interest rate, and number of periods into the calculator to determine the incremental interest.

Incremental Interest Calculator

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Incremental Interest Formula

The following equation is used to calculate the Incremental Interest.

I = P * [(1 + r)^n - 1]
  • Where I is the incremental interest ($)
  • P is the principal ($)
  • r is the interest rate (decimal)
  • n is the number of compounding periods

To calculate incremental interest, multiply the principal by [(1 + r)^n – 1].

What is an Incremental Interest?

Definition:

Incremental interest refers to the additional amount accrued on a principal when the interest is compounded or added in small intervals over a period of time. It contrasts with simple interest, which is calculated only on the principal amount.

How to Calculate Incremental Interest?

Example Problem:

The following example outlines the steps and information needed to calculate the Incremental Interest.

First, determine the principal. In this example, the principal is $1,000.

Next, determine the interest rate and the number of periods. Assume a 5% interest rate compounded annually for 3 years.

Finally, calculate the incremental interest using the formula above:

I = P * [(1 + r)^n – 1]

I = 1000 * [(1 + 0.05)^3 – 1]

I = 1000 * [1.157625 – 1] = 157.625

FAQ

What is the difference between incremental interest and simple interest?

Incremental (or compound) interest is calculated on both the accumulated interest and the original principal, allowing interest to grow exponentially over time. Simple interest, on the other hand, is calculated solely on the principal amount.

Will incremental interest always be higher than simple interest?

Yes, generally incremental (compound) interest will yield higher gains than simple interest over the same period because it allows interest to build upon itself in each compounding period.

How can I benefit from incremental interest?

Regularly investing or saving money in accounts or instruments that offer compound interest can help accelerate earnings over time. The compounding effect allows even small principal amounts to grow significantly if given enough time.