QuantumCalcs.com

Savings Calculator

Calculate how your savings can grow with compound interest over time

Future Value
Total Contributions
Interest Earned
Inflation-Adjusted
Amortization Schedule
Breakdown
Year Contributions Interest Balance
Enter values and click Calculate

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Understanding Compound Interest and Savings Growth

Compound interest is one of the most powerful concepts in finance. It allows your savings to grow exponentially over time as you earn interest on both your initial investment and the accumulated interest from previous periods.

How Compound Interest Works

The formula for compound interest with regular contributions is:

A = P(1 + r/n)^(nt) + PMT × (((1 + r/n)^(nt) - 1) / (r/n)) × (1 + (r/n)×b)

Where:
A = Future value of investment
P = Principal investment amount
PMT = Regular contribution amount
r = Annual interest rate (decimal)
n = Number of compounding periods per year
t = Time in years
b = 1 if contributions are at beginning of period, 0 if at end

The Power of Starting Early

Even small amounts saved regularly can grow substantially over time thanks to compound interest. For example, saving $100 per month at a 7% annual return would grow to over $50,000 in 20 years.

Impact of Compounding Frequency

The more frequently interest is compounded, the faster your savings will grow. Daily compounding will yield slightly more than monthly compounding, which yields more than annual compounding.

Considering Inflation

While nominal returns show the actual dollar amount, inflation-adjusted returns show the purchasing power of your savings. A 2-3% inflation rate can significantly reduce the real value of your savings over long periods.

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