Back to Financial & Investment

Compound Interest Calculator

See the power of compound interest over time. Calculate how your savings or investments grow with regular contributions and compounding interest.

By Konstantin IakovlevPublished 28 March 2026Last reviewed
Data stays on your deviceVerified formula

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.

  1. 1

    The compound interest formula

    A = P × (1 + r/n)^(n×t)

    A = future value, P = principal, r = annual rate, n = compoundings/year, t = years.

  2. 2

    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.

  3. 3

    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?
Compound interest is interest earned not just on your original principal (the money you deposited), but also on the interest you have already earned. This creates exponential rather than linear growth over time. For example, if you invest $10,000 at 5% interest compounded annually: after year 1 you have $10,500; after year 2, $11,025; after year 10, $16,289 — growing by $6,289 in total compared to $5,000 from simple interest. The longer your money compounds, the more dramatic the effect: the same $10,000 at 5% becomes $43,219 after 30 years. This principle is central to KiwiSaver growth and long-term savings in NZ. Even small regular contributions to a savings account or KiwiSaver fund compound significantly over decades. Albert Einstein reportedly called compound interest "the eighth wonder of the world." Understanding it is fundamental to financial planning. Source: Commission for Financial Capability — Sorted NZ (sorted.org.nz).
How does compounding frequency affect my savings growth?
The more frequently interest is compounded, the faster your savings grow — though the differences become smaller at higher frequencies. With an annual rate of 5%: compounded annually gives $10,500 after one year on a $10,000 deposit; compounded monthly gives $10,511.62; and compounded daily gives $10,512.67. Over 10 years, daily compounding produces about $115 more than annual compounding on $10,000 — a modest difference for a single deposit. However, for a KiwiSaver or investment account receiving regular contributions, the cumulative difference over 20-30 years can be substantial. In NZ, most savings accounts and term deposits compound daily or monthly. KiwiSaver returns are not paid as compound interest per se — instead the unit prices of funds rise (or fall) as investment returns accrue, which has a similar compounding effect. When comparing NZ savings products, always check the compounding frequency alongside the advertised interest rate. Source: interest.co.nz for live NZ savings rates.
What is the Rule of 72?
The Rule of 72 is a simple mental maths shortcut to estimate how many years it takes to double your money at a given compound interest rate. You simply divide 72 by the annual interest rate. At 6% annual return, your money doubles in approximately 72 / 6 = 12 years. At 4%, it takes 18 years. At 9%, just 8 years. The Rule of 72 works as an approximation for compound interest and is accurate within about 1% for rates between 3% and 12%. For NZ savers, applying the Rule of 72 helps illustrate the power of higher-return investments like diversified KiwiSaver growth funds (historically 7-9% per year) versus low-rate savings accounts (2-4%). It also highlights the damaging effect of high-interest debt: a credit card debt at 20% interest effectively doubles every 3.6 years if left unpaid. The rule is a useful tool for quick financial planning comparisons. Source: Commission for Financial Capability (Sorted NZ, sorted.org.nz).
What are typical NZ savings and term deposit rates in 2026-27?
In 2026-27, typical NZ savings account interest rates range from around 2% to 4.5% per annum, while 1-year term deposit rates are generally in the 4% to 5% range, depending on the bank and the amount deposited. Rates have declined from the highs of 2023-24 as the RBNZ has cut the OCR. Online savings accounts and notice savings accounts tend to offer better rates than standard at-call accounts. Term deposits offer higher certainty in exchange for locking up your funds for a fixed period (typically 30 days to 5 years). The major NZ banks (ASB, ANZ, BNZ, Westpac, Kiwibank) compete on term deposit rates, and comparison sites like interest.co.nz provide current rates updated daily. For amounts over $100,000, banks may offer negotiated rates. NZ bank deposits up to $100,000 per depositor per bank are covered by the deposit insurance scheme (Depositor Compensation Scheme) from 2025. Source: interest.co.nz; RBNZ (rbnz.govt.nz).

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 72Years to double = 72 ÷ interest rate

Investment returns are not guaranteed. Past performance is not indicative of future results.

Rule of 72 Examples

4% returnDoubles in ~18 years
6% returnDoubles in ~12 years
8% returnDoubles in ~9 years
10% returnDoubles 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.

  1. Formula: A = P(1 + r)^t
  2. A = $10,000 × (1 + 0.05)^10
  3. A = $10,000 × 1.6289
  4. A = $16,289
  5. Simple interest comparison: $10,000 + ($10,000 × 5% × 10) = $15,000
  6. 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.

  1. Formula: A = $10,000 × (1.07)^30
  2. A = $10,000 × 7.6123
  3. A = $76,123
  4. Simple interest: $10,000 + ($10,000 × 7% × 30) = $31,000
  5. Compounding advantage: $76,123 - $31,000 = $45,123 extra
  6. 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: