Time Value of Money

The Time Value of Money is arguably the most fundamental concept in finance, underpinning everything from loan amortisation and investment returns to retirement planning and company valuation. At its core, it recognises three facts: money can earn returns when invested; inflation erodes the purchasing power of money over time; and uncertainty about the future means future cash flows are inherently less certain than present ones.

Future Value (FV) is the value a sum of money will grow to at a given rate of return over time. If Rs 1 lakh is invested today at an annual return of 10%, its FV in 10 years is Rs 1,00,000 × (1.10)^10 = Rs 2,59,374. This is the basis of the power of compounding celebrated across financial literacy literature.

Present Value (PV) is the inverse: it discounts a future cash flow back to today using a discount rate. If you expect to receive Rs 2,59,374 in 10 years and the discount rate is 10% (reflecting your opportunity cost or inflation expectation), the PV is Rs 1,00,000. Discounting is the mechanism used in Discounted Cash Flow (DCF) valuation to determine the intrinsic value of businesses.

In an Indian inflation context, the CPI inflation rate has averaged approximately 5–7% over the last decade. A nominal FD return of 7% therefore yields a real (inflation-adjusted) return of roughly 0–2%. This distinction between nominal and real returns is critical for long-term financial planning. A retirement corpus that looks adequate in nominal terms may be insufficient if its real purchasing power has eroded.

Net Present Value (NPV), a derivative of TVM, is used to evaluate financial decisions: if the PV of future benefits exceeds the cost today, the project or investment has a positive NPV and is worth pursuing. TVM also explains why loan prepayment makes mathematical sense in a high-interest-rate environment — the PV of interest saved exceeds the opportunity cost of funds used for prepayment.