Compound Interest Calculator

See how an investment grows with compounding and regular deposits, or switch to Loan to work out repayments and total interest.

Bookkeeping Formula Reference

Every formula used by these calculators. They match the FNSACC323 Perform financial calculations unit.

Tax
GST: Add
Price inc GST = Price ex GST × 1.1
e.g. $100 × 1.1 = $110
GST: Remove
Price ex GST = Price inc GST ÷ 1.1
e.g. $110 ÷ 1.1 = $100
GST: Find Amount
GST = Price inc GST ÷ 11
e.g. $110 ÷ 11 = $10
Business
Markup
Selling Price = Cost + (Markup% × Cost)
e.g. Cost $50, Markup 20% → SP = $50 + ($50 × 0.20) = $60
Profit Margin
Selling Price = Cost ÷ (1 − Margin%)
e.g. Cost $50, Margin 20% → SP = $50 ÷ 0.80 = $62.50
Sales Commission
Commission = Rate% × Total Sales
e.g. $10,000 sales at 5% → Commission = $500
Simple Interest
Simple Interest
Interest = Principal × Rate × Number of Periods (T)
I = P × R × T
e.g. $300 at 2% for 1 year → I = $300 × 0.02 × 1 = $6
Total Value / Total Repayable
Total = Principal + Interest
e.g. $300 + $6 = $306
Compound Interest
Future Value (Compound)
FV = PV × (1 + i/n)^(n×t)
PV = present value, i = annual rate, n = periods/year, t = years
Present Value
PV = FV × (1 + i/n)^(−n×t)
How much to invest now to reach a future target
Loan Repayment
Repayment = P × [rp × (1 + rp)^N] ÷ [(1 + rp)^N − 1]
rp = rate per period, N = total periods
Depreciation
Straight Line: No Residual
Depreciation = Total Cost ÷ Effective Life
e.g. $11,000 ÷ 5 yrs = $2,200 per year (same each year)
Straight Line: With Residual
Depreciation = (Total Cost − Residual) ÷ Effective Life
e.g. ($11,000 − $1,000) ÷ 5 = $2,000 per year
Diminishing Value: Rate
Rate % = 200% ÷ Effective Life
e.g. 200 ÷ 12 yrs = 16.67%
Diminishing Value: Depreciation
Depreciation = Rate % × Carrying Amount
Applied to the reducing book value each year, bigger early, smaller later

GST Calculator (Australia)

GST Rate: 10%
$

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Markup / Profit Margin

Markup calculates profit as a percentage of the cost price. Profit Margin calculates profit as a percentage of the selling price.

SP = Cost + (Markup% × Cost)
$
%

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Sales Commission

Commission = Rate% × Total Sales
$
%
$

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Break-Even Point

Units = Fixed Costs ÷ (Price − Variable Cost)

Fixed Costs stay the same no matter how much you sell (e.g. rent, insurance). Variable Cost is what it costs to make or deliver one single unit (materials, packaging, per-item shipping) — it goes up and down with sales, unlike fixed costs. Selling Price is what you charge per unit.

$
$
$

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Simple Interest

I = P × R × T
$
%

Results

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Compound Interest

FV = PV × (1 + I)ᴺ
$
%
$

Results

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Present Value

PV = FV × (1 + I)⁻ᴺ
$
%

Results

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Depreciation

Depn = (Cost − Residual) ÷ Life
$
$

Results

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Time to Decimal

Decimal Hours = Hours + (Minutes ÷ 60)
hrs
min

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Pay Calculator (Before Tax)

Gross Pay = (Rate × Ord. Hours) + (Rate × OT × OT Hours)
$

Results

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GST / VAT / Sales Tax Calculator

Rate: 15%
%
$

Results

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The compound interest formula

FV = PV × (1 + i/n)^(n × t)

FV is the future value, PV is the amount you start with, i is the annual rate as a decimal, n is the number of compounding periods per year and t is the number of years.

Example. $10,000 at 5% a year, compounded monthly for 10 years.

FV = $10,000 × (1 + 0.05 ÷ 12)^(120) = $16,470.09. Simple interest over the same period would give $15,000.

Why compounding frequency matters

The more often interest is added, the sooner it starts earning interest itself. At 5% over 10 years, $10,000 grows to $16,288.95 with annual compounding and $16,470.09 with monthly compounding.

Loan repayments

In Loan mode the calculator uses the standard amortisation formula:

Repayment = P × [r × (1 + r)^N] ÷ [(1 + r)^N − 1]

Here r is the interest rate per repayment period and N is the total number of repayments. Early repayments are mostly interest; later ones are mostly principal.

Frequently asked questions

What is compound interest?

Interest calculated on the original amount plus any interest already added. Each period, the balance that earns interest is a little larger.

How is compound interest different from simple interest?

Simple interest is charged only on the original principal. Compound interest is charged on principal plus accumulated interest, so it grows faster.

Does more frequent compounding make a big difference?

It helps, but the effect is modest. Moving from annual to monthly compounding at 5% lifts the effective annual rate to about 5.12%.

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