Time Value of Money Calculator
Key takeaways
- ₹1.00 L today grows to ₹2.16 L in 10 years at 8% — a 2.16× factor, compounded annually.
- Compounded monthly instead of annually, the result would be ₹2.22 L — ₹6,072 more.
- Five more years — 15 in all — would take it to ₹3.17 L.
Year-by-year path
| Year | Start value | Growth | Value |
|---|---|---|---|
| 1 | ₹1.00 L | ₹8,000 | ₹1.08 L |
| 2 | ₹0 | ₹8,640 | ₹1.17 L |
| 3 | ₹0 | ₹9,331 | ₹1.26 L |
| 4 | ₹0 | ₹10,078 | ₹1.36 L |
| 5 | ₹0 | ₹10,884 | ₹1.47 L |
| 6 | ₹0 | ₹11,755 | ₹1.59 L |
About the Time Value of Money Calculator
The Time Value of Money Calculator runs the idea underneath almost every other growth and discounting calculator on this site: a rupee today and a rupee at some other date are not the same thing, because money can earn a return in between. This page performs that conversion directly, in either direction, for a single lump sum.
Choose a mode. "Future value of today's money" grows an amount you have now forward to what it becomes later. "Present value of future money" discounts an amount you expect later back to what it is worth now. Then enter the amount, the annual rate, the number of years, and how often the rate compounds — annually, half-yearly, quarterly or monthly.
"Result" is the converted amount: a future value in the first mode, a present value in the second. "Growth/discount factor" is the multiplier the conversion applies, shown to six decimal places because it is the part of the answer that explains the rest. The chart and schedule show the same path either way — in present-value mode they start at today's equivalent value and land exactly on the amount you entered, because discounting is the same staircase read from the other end.
Compounding frequency matters at the same stated rate. Monthly compounding produces a slightly larger factor than annual compounding at an identical quoted percentage, because interest starts earning interest sooner within each year. The Key takeaways card states what the other frequency would have produced at your own numbers. The rate is a single constant assumption throughout, so for a market-linked return the output is a projection rather than a prediction.
Frequently asked questions
What is the time value of money?
The principle that a given amount is worth more now than the same amount later, because money available now can be invested and earn a return in the interval. Every discounting and compounding formula in finance follows from it, including the ones behind EMIs, bond prices and net present value.
How is future value calculated?
Factor = (1 + rate ÷ (100 × m)) ^ (m × years), where m is the number of compounding periods per year. Future value = Amount × Factor. The rate is divided by the number of periods and the exponent multiplied by it, so a 12% annual rate compounded monthly applies 1% twelve times.
How is present value calculated?
With the same factor, dividing instead of multiplying: Present value = Amount ÷ Factor. It is the exact inverse of future value at the same rate, years and compounding frequency — put one result through the other mode and you get back where you started.
Why does monthly compounding give a bigger number than annual?
Because interest credited part-way through the year starts earning interest for the rest of it. At 8% compounded annually the factor after one year is 1.08; compounded monthly it is (1 + 0.08 ÷ 12)^12, about 1.083. That gap widens over longer periods, which is why the effective rate on a monthly-compounded product exceeds its quoted rate.
What discount rate should I use for present value?
It depends on what the money could otherwise earn over the same period at comparable risk — the opportunity cost. That is a judgement about your own alternatives, not a figure this calculator can supply. Running two or three rates shows how sensitive the present value is to that choice, which is usually more informative than any single answer.
Does this account for inflation?
Not by itself. The rate you enter is a nominal rate, so the result is in nominal rupees. To work in real terms, either enter a rate net of inflation, or put the nominal result through the Purchasing Power Calculator on this site at the same number of years.
Disclaimer: This calculator is for information and education only. It is not investment advice and not a recommendation. Where a rate or a price is an input, it is an assumption, and actual rates vary. It does not take your personal circumstances into account. Every figure is computed solely by applying the formula and assumptions stated on this page to the inputs you entered.