Ekuation

purpose

Retirement Calculator

Plan your retirement by calculating how your investments will grow over time with compound interest.

Back to Compound Interest Calculator
$
%

The number of years you will be saving

How often the interest is compounded

Amount added on a regular basis (optional)

$

How often you make additional contributions

Compound Interest Tips

Click to show tips

Try an Example

Pick a scenario to see how the calculator works, then adjust the values

Retirement Calculator | Long-term Investment Growth

Plan your retirement by calculating how your investments will grow over time with compound interest.

Key values: $50,000 start · $800/month · 7% annual · 25 years

Starting Early at 25 — Minimal Contribution

$5,000 saved at 25, adding just $300/month at 7% for 40 years.

Key values: $5,000 start · $300/month · 7% annual · 40 years

Documentation

The Power of Compound Interest

A one-time investment of PP growing at annual rate rr for tt years becomes:

A=P(1+rn)ntA = P\left(1 + \frac{r}{n}\right)^{nt}

where nn is the compounding frequency (12 for monthly, 365 for daily). With continuous compounding:

A=PertA = Pe^{rt}

Growth with Regular Contributions

Most retirement savings involve monthly contributions CC. The future value of a series of equal payments (annuity):

FV=C×(1+r/n)nt1r/nFV = C \times \frac{(1 + r/n)^{nt} - 1}{r/n}

Total retirement balance = lump sum growth + contribution growth:

Atotal=P(1+r/n)nt+C×(1+r/n)nt1r/nA_{\text{total}} = P(1+r/n)^{nt} + C \times \frac{(1+r/n)^{nt}-1}{r/n}

The Rule of 72

A quick mental math shortcut to estimate how long it takes to double your money:

Years to double72annual return %\text{Years to double} \approx \frac{72}{\text{annual return \%}}
ReturnDoubling timeExample
4%18 yearsBonds
7%10.3 yearsStock market average
10%7.2 yearsGrowth stocks
12%6 yearsAggressive growth

Why Starting Early Matters

Example: Person A invests $500/month starting at age 25. Person B invests $500/month starting at age 35. Both earn 7% annually and retire at 65.

  • Person A (40 years): $1,197,811 from $240,000 invested
  • Person B (30 years): $566,765 from $180,000 invested

Person A invested only $60,000 more but ended up with over twice the balance. The extra 10 years of compounding — not the extra contributions — account for most of the difference.


Frequently Asked Questions

How much do I need to retire?

A common guideline is to save 25 times your expected annual expenses (the 4% rule). If you plan to spend $50,000 per year in retirement, aim for a portfolio of $1,250,000. The exact amount depends on your lifestyle, healthcare costs, inflation assumptions, and other income sources like Social Security.

What is the Rule of 72?

The Rule of 72 is a mental math shortcut: divide 72 by your annual return percentage to estimate how many years it takes to double your money. At 7% returns, your money doubles in roughly 72/7 = 10.3 years. At 10%, it doubles in about 7.2 years.

Why does starting to save early matter so much?

Compound interest grows exponentially over time. Someone investing $500/month from age 25 to 65 at 7% accumulates roughly $1,200,000, while starting at 35 yields only about $567,000. The extra 10 years of compounding more than doubles the result, even though the additional contributions are only $60,000.

What is the difference between monthly and annual compounding?

Monthly compounding applies interest 12 times per year instead of once, so each month's interest earns interest in subsequent months. The difference is small for short periods but grows over longer horizons.

How do regular contributions affect compound growth?

Regular contributions dramatically accelerate growth because each payment starts compounding from the date it is made. A $100,000 lump sum at 7% for 30 years grows to about $761,000, but adding $500/month on top produces roughly $1,330,000 -- nearly double, with contributions totaling only $180,000.

Related purpose Variants

Explore more purpose options

More Finance Calculators

Explore the category

Calculator Search

Search and find calculators