Time Value of Money

The time value of money is the idea that a rupee available today is worth more than the same rupee received later, because today's rupee can be invested and start growing immediately. This single idea underlies nearly every financial calculation that involves a future amount: loans, retirement targets, and comparing a lump sum today against a series of payments later.

Future value answers 'what does this amount today grow to by a future date, at a given return?' Present value asks the reverse: 'what is a future amount actually worth in today's terms?' A promise of ₹10 lakh in 10 years sounds impressive, but discounted back at a realistic 8% return, it's worth roughly ₹4.6 lakh today — a very different number, and the correct one to compare against an equivalent lump sum offered now.

This is why 'would you rather have ₹5 lakh now or ₹8 lakh in 5 years' isn't a trick question with an obvious answer — it depends entirely on what return you could realistically earn on the ₹5 lakh in the meantime. At a 10% return, ₹5 lakh grows to roughly ₹8.05 lakh in 5 years, making the two offers roughly equivalent; at a lower achievable return, taking the money now and investing it falls short of the delayed ₹8 lakh.

The practical use of this concept shows up constantly: comparing a lump-sum settlement against an annuity, evaluating whether a 0%-interest EMI offer is genuinely free (it often isn't, once you account for a cash-discount you're giving up), and deciding between a smaller salary with immediate equity versus a larger one with deferred bonuses. Any time money arrives at different points in time, the amounts aren't directly comparable until one is converted into the other's terms.