Finance & Money
Compound Interest
Calculate future value with compounding interest over time.
Project a starting balance and regular month-end contributions using a nominal annual rate compounded monthly. Compare scenarios; a constant return is an assumption, not a forecast.
Projected future value
$54713.58
- total Contributions
- $34000.00
- interest Earned
- $20713.58
- growth Multiple
- 1.61× contributions
Formula and method
FV = P(1+i)^n + M[(1+i)^n − 1]/i; i = annual rate/12, n = years×12. At 0%, FV = P + M×n.
P is principal, r is annual rate, t is years, M is monthly contribution.
Uses the same monthly compounding rate for the starting balance and month-end contributions. Results are before taxes, fees and inflation. This models a steady rate rather than variable market returns.
Worked examples
Long-term RRSP growth
- Principal ($):
- 50000
- Annual Rate (%):
- 7
- Years:
- 25
- Monthly Contribution ($):
- 500
Projected future value: $691306.76
Emergency fund growth
- Principal ($):
- 10000
- Annual Rate (%):
- 4
- Years:
- 5
- Monthly Contribution ($):
- 0
Projected future value: $12209.97
Child's education savings
- Principal ($):
- 5000
- Annual Rate (%):
- 6
- Years:
- 18
- Monthly Contribution ($):
- 150
Projected future value: $72786.81
Assumptions and limits
- Nominal annual rate compounded monthly
- Contributions at the end of each month
- Constant rate; no tax, fees, inflation or contribution-room check
This tool provides an educational estimate. Rules, rates and personal circumstances can change the answer. Review the assumptions before relying on a result. Report a correction.
Common mistakes to avoid
- Confusing nominal rate with real (inflation-adjusted) rate — use real rate for purchasing power projections.
- Forgetting to account for taxes on investment gains when held outside a TFSA or Roth IRA.
- Using a single fixed return rate — actual markets fluctuate; this is a projection, not a guarantee.
- Ignoring contribution room limits for registered accounts like RRSP or TFSA.
Frequently asked questions
What rate should I use?
Use a rate appropriate to the scenario you are comparing. A higher assumed rate produces a higher projection and is not a promised investment return.
Does this include inflation?
No. The result is nominal. Purchasing power depends on inflation over the same period.
Can I start with zero?
Yes. A zero starting balance can still grow through monthly contributions.
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