# Compound Interest Estimator: Maximise Your Savings

Are you looking to turn your savings into a mountain of wealth? Understanding the magic of compound interest is your first step towards financial prosperity. In New Zealand, where the financial landscape is as diverse and dynamic as its stunning geography, knowing how to make your money grow through compound interest is crucial.

Compound Interest Calculator

## Compound Interest Calculator

What is Compound Interest?

Compound interest is the interest on a loan or deposit calculated based on both the initial principal and the accumulated interest from previous periods. Think of it as “interest on interest,” which can cause wealth to grow exponentially over time.

Why is Compound Interest Important?

Albert Einstein famously referred to compound interest as the “eighth wonder of the world.” He wasn’t wrong. For Kiwis, compound interest is the cornerstone of wise long-term saving and investing. It means that even small amounts saved today can grow to significant sums over the years.

How Does Compound Interest Work?

To illustrate, let’s say you invest NZD 10,000 in an account with an annual interest rate of 5% compounded annually. At the end of the first year, you’ll earn NZD 500 in interest, making your total balance NZD 10,500. The next year, you earn 5% on NZD 10,500, not just your initial NZD 10,000. This process continues, allowing your savings to snowball over time.

Understanding the Formula

The formula for compound interest is A = P (1 + r/n)^(nt), where:

• A is the amount of money accumulated after n years, including interest.
• P is the principal amount (the initial sum of money).
• r is the annual interest rate (decimal).
• n is the number of times that interest is compounded per year.
• t is the time the money is invested for in years.

Factors That Affect Compound Interest in NZ

• Interest Rates: New Zealand’s interest rates vary, influencing how quickly your investment grows.
• Frequency of Compounding: The more frequently interest is compounded, the more you earn. Banks might offer various compounding options—daily, monthly, quarterly, or annually.
• Taxation: In NZ, interest earnings are subject to income tax, which can affect your net returns.