Future Value Formula Explained, With Examples
Every future value result comes from one formula. Once you understand what goes into it, you can sanity-check any figure you are given, whether by an employer, a bank, a teacher or another website.
The formula
FV = P(1+r)^n + m((1+r)^n − 1)/r.
What each input means
- Starting amount (S$): the value you enter in the calculator.
- Monthly addition (S$): the value you enter in the calculator.
- Annual return (%): the value you enter in the calculator.
- Years: the value you enter in the calculator.
Example
For example, with these inputs:
- Starting amount (S$): 5,000
- Monthly addition (S$): 500
- Annual return (%): 5
- Years: 20
the calculator returns:
- Future value: S$219,080.04
- Total contributed: S$125,000.00
- Growth: S$94,080.04
How the result changes
The table keeps the other inputs at their example values and changes starting amount (s$).
| Starting amount (S$) | Future value | Total contributed | Growth |
|---|---|---|---|
| 5,000 | S$219,080.04 | S$125,000.00 | S$94,080.04 |
| 2,500 | S$212,298.43 | S$122,500.00 | S$89,798.43 |
| 3,750 | S$215,689.24 | S$123,750.00 | S$91,939.24 |
| 6,250 | S$222,470.84 | S$126,250.00 | S$96,220.84 |
| 7,500 | S$225,861.64 | S$127,500.00 | S$98,361.64 |
Why it matters
Interest rates, instalments and returns compound over years, so a small difference in rate or tenure turns into thousands of dollars. Working the numbers out yourself makes it easier to compare bank offers, avoid expensive debt and plan savings goals.
Calculators make it easy to compare scenarios side by side: a shorter tenure versus a lower instalment, a higher deposit versus more cash in hand, or paying down debt versus investing. Seeing the total cost, not just the monthly figure, usually makes the better choice obvious.
Interest in Singapore is quoted in several ways. Mortgages and savings accounts use effective annual rates, while car loans and many personal loans are advertised at flat rates that look much lower than their true cost. Banks must disclose the effective interest rate, and comparing on that basis gives a fair picture.
Cars in Singapore carry costs found almost nowhere else, including the Certificate of Entitlement and the Additional Registration Fee. Loans are capped at 60% or 70% of the price depending on the car's Open Market Value, and the maximum tenure is seven years.
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Use the Future Value Calculator to plug in your own numbers.
Run your own numbers: Future Value Calculator