Time Value of Money Explained: Present Value, Future Value, Discounting and Inflation With Indian Examples

The time value of money (TVM) is the idea that ₹1 today is worth more than ₹1 a year from now, because today's rupee can be invested to earn a return, and because inflation erodes purchasing power. It sits behind loans, SIPs, insurance, retirement planning and almost every financial choice. This guide builds the idea from scratch.

Why money has a time value

• Earning potential: money can be placed in a deposit, bond or fund.
• Inflation: prices rise, so the same amount buys less later.
• Risk: a promise of future money may not be kept.
• Preference: people prefer to have money now.

Future value (FV)

FV = PV × (1 + r)^n

where PV is the amount today, r is the rate per period and n is the number of periods. If you invest ₹1,00,000 at 7% for 10 years, FV = 1,00,000 × 1.07^10 = ₹196,715. Try your own numbers in the future value calculator.

Present value (PV)

PV = FV ÷ (1 + r)^n

This tells you what a future sum is worth today. If you will receive ₹5,00,000 in 8 years, and a suitable discount rate is 8%, PV = 5,00,000 ÷ 1.08^8 = ₹270,134. A higher discount rate gives a lower present value.

Annuities: regular payments

A series of equal payments, such as an SIP, rent or EMI, is an annuity. The future value of monthly SIPs of ₹10,000 for 15 years at 12% a year (1% a month) is ₹4,995,802. The present value of a loan's EMIs equals the loan amount, which is how the EMI calculator works. See EMI guide and SIP guide.

Inflation and real returns

If your investment earns 7% and inflation is 5%, your real return is about 2%. A cost of ₹50,000 today will be ₹119,828 in 15 years at 6% inflation. This matters for education, healthcare and retirement. Use the inflation calculator and read retirement planning.

Applications

Compounding frequency

The more often interest compounds, the higher the effective yield. ₹1,00,000 at 8% compounded annually for 5 years gives ₹146,933, and compounded quarterly gives ₹148,595. See compound interest.

Net present value and discounting

NPV adds the present values of all future inflows and subtracts the initial outflow. A positive NPV means the project earns more than the discount rate. Businesses choose a discount rate reflecting their cost of capital and risk. Small investors can use a simple version to test whether a policy or scheme that pays out in future beats an alternative.

Practical rules

• Rule of 72: years to double ≈ 72 ÷ rate.
• Start early, because time does more than the amount. A 25-year-old investing ₹5,000 a month usually ends with far more than a 35-year-old investing ₹10,000.
• Compare returns on the same basis. See CAGR.
• Always adjust for inflation and tax.

Common mistakes

• Using an unrealistic discount rate.
• Ignoring inflation in long-term goals.
• Mixing monthly and annual rates.
• Believing a "guaranteed" payout in the future is equal to today's money.

Mini case: should you take the discount?

A supplier offers a 2% discount if you pay in 10 days instead of 60. Paying 50 days early to save 2% equals an annualised return of roughly 15%, since there are about seven such 50-day periods in a year. If your alternative is a savings account at 3% or an overdraft at 12%, taking the discount is a good use of money. This kind of reasoning is exactly what time value of money is for. The same logic helps when a builder offers a discount for upfront payment, or when a seller asks whether you prefer a lump sum now or instalments.

Worked goal example

You want ₹20 lakh for a child's college fees in 12 years, and expect 10% a year on a balanced portfolio. Monthly rate is about 0.797%. A monthly SIP of roughly ₹7,000 would be needed, because the future value of an annuity grows with the number of instalments and the rate. If tuition inflation is 8% a year, the real cost in 12 years of a ₹10 lakh course today is about ₹25 lakh, so the target itself needs to be inflated first. Always do this in two steps: inflate the goal to its future cost, then discount it back to a monthly saving amount. Skipping the first step is the most common reason families fall short.

Frequently asked questions

What is time value of money?

The principle that money available now is worth more than the same amount later.

What is the future value formula?

FV = PV × (1 + r)^n.

What is present value?

The current worth of a future sum, discounted at a given rate.

Why does inflation matter?

It reduces the purchasing power of future money.

What is the Rule of 72?

A shortcut: years to double ≈ 72 divided by the annual return percent.

What discount rate should I use?

One reflecting your alternative returns and the risk of the cash flow.

Last reviewed 8 November 2026. Rates, limits and rules change, so confirm figures with the official source before you act.