The projected worth of a sum of money or an investment stream at a specified future date, computed by applying an assumed rate of return through compounding.
Future Value (FV) is the value that a present sum of money, or a series of future cash flows, will grow to at a specified future date when invested at a given rate of return. It is one of the foundational concepts in time-value-of-money mathematics and underlies almost every quantitative exercise in personal finance — from SIP projections to retirement planning to bond pricing. The basic single-cash-flow formula is FV = PV x (1 + r)^n, where PV is the present amount, r is the periodic rate of return, and n is the number of periods.
For a one-time investment, future value captures the power of Compounding. Rs 1 lakh invested today at 12 per cent CAGR grows to approximately Rs 9.65 lakh in 20 years and Rs 29.96 lakh in 30 years. The non-linearity is striking — extending the horizon from 20 to 30 years roughly triples the terminal value because the later years compound on a much larger base. This is why financial planners emphasise starting early; the first decade of investing contributes most of the time available for compounding.
For a recurring contribution stream like an SIP, the future value formula is FV = P x [((1 + r)^n - 1) / r] x (1 + r), where P is the periodic contribution. A monthly SIP of Rs 10,000 at 12 per cent expected CAGR over 25 years produces a future value of approximately Rs 1.9 crore, of which only Rs 30 lakh is the principal contributed and the remainder is investment growth. The Goal Planner uses this calculation in reverse: given a Target Corpus and a horizon, it solves for the required SIP amount.
Future value calculations are highly sensitive to the assumed rate of return. The same Rs 10,000 monthly SIP over 25 years produces Rs 1.13 crore at 10 per cent, Rs 1.90 crore at 12 per cent, and Rs 3.27 crore at 14 per cent. A two-percentage-point variance in the assumption changes the terminal value by 70 per cent or more. Conservative planning therefore uses return assumptions slightly below long-run historical averages — for Indian equity, 11 to 12 per cent is reasonable rather than the headline 14 to 15 per cent that some funds have delivered over selective windows.
Future value figures are nominal — they ignore the eroding effect of inflation. A projected corpus of Rs 5 crore in 30 years sounds enormous, but at 6 per cent CPI inflation it has the purchasing power of roughly Rs 87 lakh today. To plan in today's terms, planners either deflate the future value back using Present Value arithmetic or, more commonly, plan in real (inflation-adjusted) terms by using the Real Return as r in the formula. The Goal Planner explicitly handles both views so that the user can see the corpus required in tomorrow's rupees and verify that it preserves today's purchasing power.
Formula
FV (lump sum) = PV x (1 + r)^n
FV (SIP) = P x [((1 + r)^n - 1) / r] x (1 + r)India Context
Indian equity SIPs are typically projected at 11-12% CAGR for conservative planning, with debt at 6-7% and balanced portfolios at 9-10%. Future value is always nominal unless explicitly computed in real terms using real return.