Future Value Calculator
Future value is what money today, and any regular payments you add, will be worth later at a given interest rate. It is the core time-value-of-money calculation behind savings and investment plans.
Results
Future value
₹11,36,694.20
- Growth of the starting amount
- ₹2,21,964.02
- Growth of the payments
- ₹9,14,730.18
- Total deposits
- ₹7,00,000
- Interest earned
- ₹4,36,694.20
₹1,00,000.00 plus ₹5,000.00 every period at 8% for 10 years grows to ₹11,36,694.20.
Deposits vs interest
- Total deposits₹7,00,000 (61.6%)
- Interest earned₹4,36,694 (38.4%)
Balance by year (10 rows)
| Period | Balance |
|---|---|
| Year 1 | ₹1,70,549.58 |
| Year 2 | ₹2,46,954.74 |
| Year 3 | ₹3,29,701.49 |
| Year 4 | ₹4,19,316.19 |
| Year 5 | ₹5,16,368.85 |
| Year 6 | ₹6,21,476.84 |
| Year 7 | ₹7,35,308.74 |
| Year 8 | ₹8,58,588.64 |
| Year 9 | ₹9,92,100.70 |
| Year 10 | ₹11,36,694.20 |
Show the calculation steps
- Rate per period r = 8% ÷ 12 = 0.66667%; number of periods n = 120.
- Lump sum: PV × (1 + r)^n = ₹1,00,000.00 × 2.21964 = ₹2,21,964.02.
- Payments: PMT × ((1 + r)^n − 1) ÷ r = ₹9,14,730.18.
- Future value = ₹2,21,964.02 + ₹9,14,730.18 = ₹11,36,694.20.
The two parts of future value
The starting amount grows by compound interest for the whole period. Each payment grows for the time remaining after it is made, and the sum of those growing payments is an annuity.
Payments at the start or end
Payments at the start of each period earn one extra period of interest compared with payments at the end, so the future value is a little higher.
Formula
FV = PV × (1 + r)^n + PMT × ((1 + r)^n − 1) ÷ r
For payments at the start of each period, multiply the second term by (1 + r)
Where:
- PV
- = Present value (starting amount)
- PMT
- = Payment per period
- r
- = Rate per period (annual rate ÷ periods per year)
- n
- = Total number of periods
Example calculation
₹1,00,000 plus ₹5,000 monthly at 8% for 10 years
Inputs
- Present Value
- ₹1,00,000
- Payment Each Period
- ₹5,000
- Annual Interest Rate
- 8 %
- Time Period
- 10 years
- Compounding & Payments
- Monthly
- Payments Made
- At the end of each period
Result
- Future value
- ₹11,36,694.20
- Growth of the starting amount
- ₹2,21,964.02
- Growth of the payments
- ₹9,14,730.18
- Total deposits
- ₹7,00,000
- Interest earned
- ₹4,36,694.20
Step-by-step
- Rate per period r = 8% ÷ 12 = 0.66667%; number of periods n = 120.
- Lump sum: PV × (1 + r)^n = ₹1,00,000.00 × 2.21964 = ₹2,21,964.02.
- Payments: PMT × ((1 + r)^n − 1) ÷ r = ₹9,14,730.18.
- Future value = ₹2,21,964.02 + ₹9,14,730.18 = ₹11,36,694.20.
Important notes
- Results are estimates based on the values you enter. They assume the rates stay constant and exclude taxes and fees unless stated.
Disclaimer: This calculator provides estimates for informational purposes and should not be considered financial advice. Actual figures from lenders, banks and investment products can differ because of fees, taxes, rounding rules and changing rates. Consult a qualified professional before making financial decisions.
Frequently asked questions
What is future value?
The value at a future date of an amount invested today at a given interest rate.
How does compounding frequency change it?
More frequent compounding adds interest to the balance sooner, giving a slightly higher result.
How is this different from the compound interest calculator?
This one also handles regular payments and their timing.
Related calculators
- Investment CalculatorProject the value of an investment with a starting amount and regular monthly contributions, with a yearly growth table.
- Compound Interest CalculatorSee how money grows with compound interest. Choose the compounding frequency to get the final amount, total interest and effective annual rate.
- Lumpsum Investment CalculatorSee what a one-time investment could grow to, including its value in today's purchasing power after inflation.
- Present Value CalculatorFind what a future sum is worth today by discounting it at an interest or inflation rate.
Explore more in Investment Calculators.