Compound Interest Calculator

Predict the future value of your savings or investment with compounding interest.

Investment Growth Summary

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Total Future Value ($)
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Total Principal Invested ($)
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Total Interest Earned ($)

Compounding Power

The earlier and longer you invest, the greater the exponential effect of compound interest.

Harnessing the Power of Compound Interest

The **Compound Interest Calculator** is the most valuable tool for visualizing long-term **investment growth** and **savings growth**. It demonstrates how **compound interest**—interest earned on both the original principal and accumulated interest—creates exponential wealth over time. This tool calculates the **future value (FV)** of your investments, factoring in the initial **principal**, subsequent **annual contributions**, and the **compounding frequency**.

The Compound Interest Formula (Future Value)

The calculation combines two key formulas (lump sum + annuity) where $P$ = principal, $PMT$ = contribution, $r$ = rate, $n$ = compounding periods, and $t$ = time in years:

$$\text{FV} = P(1 + \frac{r}{n})^{nt} + PMT \frac{((1 + \frac{r}{n})^{nt} - 1)}{\frac{r}{n}}$$

A higher **compounding frequency** (e.g., **daily compounding** versus annually) leads to a slightly higher **future value** due to interest being calculated on the principal more often. The result clearly separates your **total principal** from the **total interest earned**.

Savings Growth and Financial Planning

Use the **Compound Interest Calculator** for **financial planning**, setting realistic expectations for **savings growth** in retirement accounts or long-term investments. The difference between the **total future value** and the **total principal** highlights the substantial role of **interest earned** in long-term wealth creation. This tool is the foundation for understanding all other investment strategies.

Compound Interest FAQs

What is the most important factor for investment growth?

Time is the most important factor. Due to **compound interest**, the longer the investment **duration (years)**, the greater the final **future value (FV)**, as the interest itself starts earning more interest exponentially.

What is compounding frequency?

**Compounding frequency** is how often the earned **interest** is calculated and added back to the **principal**. Options like **daily compounding** (365 times per year) or **monthly** (12 times per year) usually result in a higher **future value (FV)** than annual compounding.

What is the difference between future value and principal?

**Total Principal** is the total amount of money you physically put into the investment (initial principal + **annual contributions**). **Future Value (FV)** is the principal plus all the accumulated **total interest earned** from compounding over the duration.