Compound Interest Calculator
See the power of compound interest over time. Calculate how your savings or investments grow with regular contributions and compounding interest.
About this calculator
This calculator uses Sorted compound interest tool comparison. Reference: Standard compound interest formula. Last consulted 28 February 2026.
Reference rates & assumptions
Indicative — actual returns vary by fund/asset- •NZ savings account (typical): 0.5–2.5%
- •1-yr term deposit: ~5.0–5.5%
- •Conservative KiwiSaver fund: ~4–5% long-term
- •Balanced KiwiSaver fund: ~5–6% long-term
- •Growth KiwiSaver fund: ~7–8% long-term
- •NZX 50 long-term avg: ~8–10% (highly variable)
Disclaimer
This calculator provides estimates for general information purposes only. Results should not be relied upon as professional financial, tax, or legal advice. Tax rates and thresholds are based on publicly available IRD data and may change. Always consult a qualified tax agent or financial adviser for advice specific to your circumstances.
How compound interest grows your savings
Compound interest means you earn interest on your interest. Over decades the compounding effect dominates — it's why starting early matters more than how much you save.
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The compound interest formula
A = P × (1 + r/n)^(n×t)
A = future value, P = principal, r = annual rate, n = compoundings/year, t = years.
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With regular monthly contributions (future value of annuity)
FV = PMT × [((1 + r/12)^(12×t) − 1) ÷ (r/12)]
PMT = monthly contribution. Combine with the principal-only formula above for both starting balance + regular savings.
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Why early savings matter more
$100/month from age 25 → ~$233k at 65 (8% return) | Same from age 35 → ~$95k
Starting 10 years earlier nearly triples the final balance, despite saving only 30% more in total.
Worked example
Inputs: $10,000 principal + $200/month, 7% return, 20 years
Result: Future value: $137,720. Total contributed: $58,000. Interest earned: $79,720 (more than the contributions).
Frequently Asked Questions
What is compound interest and why does it matter for savings?
How does compounding frequency affect my savings growth?
What is the Rule of 72?
What are typical NZ savings and term deposit rates in 2026-27?
Compound interest earns returns on both your original principal and previously accumulated interest. Over time, compounding creates exponential growth — the foundation of long-term investing and debt.
How this calculator works
A = P(1 + r/n)^(nt) where P = principal, r = annual rate, n = compounding periods per year, t = years. With regular contributions, use the future value of annuity formula. NZ term deposits typically compound annually or at maturity; managed funds compound daily.
Compound Interest Reference Rates (NZ 2026-27)
| NZ 1-yr term deposit rate | ~4.5–5.5% p.a. |
| NZ KiwiSaver growth fund (long-term average) | ~7–8% p.a. |
| RBNZ inflation target | ~2–3% p.a. |
| Rule of 72 | Years to double = 72 ÷ interest rate |
Investment returns are not guaranteed. Past performance is not indicative of future results.
Rule of 72 Examples
| 4% return | Doubles in ~18 years |
| 6% return | Doubles in ~12 years |
| 8% return | Doubles in ~9 years |
| 10% return | Doubles in ~7.2 years |
Worked Examples
$10,000 at 5% compounded annually for 10 years
$16,289 — a gain of $6,289 on the original $10,000.
- Formula: A = P(1 + r)^t
- A = $10,000 × (1 + 0.05)^10
- A = $10,000 × 1.6289
- A = $16,289
- Simple interest comparison: $10,000 + ($10,000 × 5% × 10) = $15,000
- Compounding adds an extra $1,289 vs simple interest
$10,000 at 7% compounded annually for 30 years
$76,123 — versus simple interest of only $31,000. Compounding adds $45,123.
- Formula: A = $10,000 × (1.07)^30
- A = $10,000 × 7.6123
- A = $76,123
- Simple interest: $10,000 + ($10,000 × 7% × 30) = $31,000
- Compounding advantage: $76,123 - $31,000 = $45,123 extra
- This illustrates why starting to invest early makes such a dramatic difference
Built and maintained by Konstantin Iakovlev. Data sourced from the IRD and official New Zealand government sources.
Last reviewed: