Calculate what your investment will be worth in the future with compound interest. Use the FV formula, compare compounding frequencies, and see the power of long-term wealth creation in India.
Future Value Formula Explained
The future value (FV) formula calculates how much a present investment grows over time with compound interest:
FV = PV × (1 + r/n)^(n × t)
| Variable | Meaning | Example |
|---|
| PV | Present Value (initial investment) | ₹1,00,000 |
| r | Annual interest rate (as decimal) | 0.10 (10%) |
| n | Compounding periods per year | 12 (monthly) |
| t | Time in years | 10 |
| FV | Future Value (result) | ₹2,70,704 |
What ₹1 Lakh Becomes Over Time (Compound Interest)
This table shows how ₹1,00,000 grows at different interest rates over time with annual compounding — illustrating the exponential power of long-term investing in India:
| Rate / Years | 5 Years | 10 Years | 15 Years | 20 Years | 30 Years |
|---|
| 6% (FD/Debt) | ₹1.34L | ₹1.79L | ₹2.40L | ₹3.21L | ₹5.74L |
| 7.1% (PPF) | ₹1.41L | ₹1.99L | ₹2.80L | ₹3.95L | ₹7.84L |
| 10% (Balanced) | ₹1.61L | ₹2.59L | ₹4.18L | ₹6.73L | ₹17.45L |
| 12% (Equity) | ₹1.76L | ₹3.11L | ₹5.47L | ₹9.65L | ₹29.96L |
| 15% (Aggressive) | ₹2.01L | ₹4.05L | ₹8.14L | ₹16.37L | ₹66.21L |
Rule of 72 — How Long to Double Your Money
The Rule of 72 is the fastest mental shortcut for investors. Simply divide 72 by your expected annual return to estimate the years needed to double your investment:
| Investment / Rate | Rate | Years to Double |
|---|
| Savings Account | 3.5% | ~20.6 years |
| Bank FD (5-year) | 6.7% | ~10.7 years |
| PPF | 7.1% | ~10.1 years |
| Balanced Mutual Fund | 10% | ~7.2 years |
| Nifty 50 (Historical avg) | 12% | ~6 years |
| Small Cap Fund (Historical) | 15% | ~4.8 years |
How Compounding Frequency Affects Future Value
For the same rate, more frequent compounding always gives a higher future value. Here is how ₹1,00,000 at 10% per annum grows over 10 years across different compounding frequencies:
| Compounding | Effective Annual Rate | FV after 10 years |
|---|
| Annually | 10.00% | ₹2,59,374 |
| Half-Yearly | 10.25% | ₹2,65,330 |
| Quarterly | 10.38% | ₹2,68,506 |
| Monthly | 10.47% | ₹2,70,704 |
| Daily | 10.52% | ₹2,71,791 |
Future Value vs Present Value — Key Difference
Future Value (FV) answers: "I have ₹X today — what will it be worth in N years?" This is used to project wealth creation. Present Value (PV) answers the reverse: "I need ₹Y in N years — how much do I need to invest today?" Use our Present Value Calculator for goal-based planning.
For systematic monthly investments (SIPs), the future value formula changes to FV = C × [(1+r)^n − 1] / r, where C is the monthly contribution. Our SIP Calculator handles this automatically with annual step-ups.
Frequently Asked Questions
What is future value of money?
Future value (FV) is the value of a current asset at a future date, based on an assumed growth rate. For example, ₹1 lakh invested at 10% per annum compounded annually becomes ₹2,59,374 after 10 years. Future value accounts for the time value of money — the idea that money today is worth more than the same amount in the future.
What is the future value formula?
The future value formula is FV = PV × (1 + r/n)^(n×t), where PV is the present value (initial investment), r is the annual interest rate (as a decimal), n is the number of compounding periods per year, and t is the time in years. For example, ₹50,000 at 12% compounded monthly for 5 years: FV = 50000 × (1 + 0.12/12)^(12×5) = ₹90,970.
What is the Rule of 72 in investing?
The Rule of 72 is a shortcut to estimate how long it takes to double your money. Divide 72 by the annual interest rate to get the approximate number of years. At 8% return: 72 ÷ 8 = 9 years to double. At 12%: 72 ÷ 12 = 6 years. At PPF rate of 7.1%: 72 ÷ 7.1 = about 10.1 years to double.
What is the difference between future value and present value?
Present value (PV) is what a future sum of money is worth today, discounted at a rate of return. Future value (FV) is what a current sum will grow to in the future. They are inverses: PV tells you how much to invest today to reach a goal, while FV tells you what your current investment will become. Use FV to plan wealth creation; use PV to plan goal-based investing.
How does compounding frequency affect future value?
More frequent compounding gives a higher future value. For ₹1 lakh at 10% for 10 years: annual compounding gives ₹2,59,374; quarterly gives ₹2,68,506; monthly gives ₹2,70,704; daily gives ₹2,71,791. The difference between annual and monthly compounding on a large corpus over long periods can be substantial — this is why SIPs with monthly compounding outperform FDs with annual interest credit.
What is a good rate of return to use in future value calculations for India?
For conservative estimates in India, use 6-7% (FD, PPF, debt funds). For moderate, use 10-12% (balanced mutual funds, Nifty 50 historical average). For aggressive equity, use 12-15% (small cap, mid cap historical). Inflation in India averages 5-6%, so your real return is the nominal rate minus inflation. Always use conservative estimates for critical financial goals like retirement or child education.
How much does ₹1 lakh become in 20 years at 12%?
₹1 lakh (₹1,00,000) invested at 12% per annum compounded annually for 20 years becomes approximately ₹9,64,629 — nearly 10 times the initial investment. This demonstrates the exponential power of long-term compounding. If compounded monthly at 12%, it grows to approximately ₹9,89,255 over 20 years.
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