Time Value of Money: PV, FV and Discounting
After understanding the goals of financial management, the next question is timing: when should money be received, invested, or paid out? Time Value of Money answers that question by showing why a rupee received today is worth more than a rupee received in the future. In finance interviews, this matters because TVM is the foundation for DCF valuation, NPV, IRR, loans, and investment timing decisions.
- Core Principle: A rupee received today is worth more than a rupee received in the future - because today's rupee can be invested to earn a return.
- This concept underpins every finance decision: from bond pricing to DCF valuation to capital budgeting.
- Future Value (FV) grows a sum today at rate r for n periods: FV = PV Ć (1 + r)āæ.
- Present Value (PV) discounts a future sum back to today: PV = FV / (1 + r)āæ.
- Key formulas to memorize: FV = PV(1+r)āæ, Perpetuity = C/r, Gordon Growth Model PV = Dā/(r-g).
- When asked "walk me through DCF," TVM is the foundation - always start here.
The Big Picture: Compounding and Discounting
Time Value of Money has one central idea: money changes value across time. Compounding moves money forward, discounting brings future cash flows back, and both are built on the same relationship between present value, future value, rate, and number of periods.
Time Value of Money (TVM): A rupee received today is worth more than a rupee received in the future - because today's rupee can be invested to earn a return.
The Fundamental TVM Formulas
The fundamental TVM formulas connect value today, value in the future, the return rate, and the number of periods.
Time Value of Money Timeline
The timeline view shows the same logic visually: money starts as present value at Year 0 and becomes future value after compounding at rate r per period.
FV = PV Ć (1 + r)āæ | PV = FV / (1 + r)āæ | Key insight: ā¹1 today > ā¹1 tomorrow.
What to Memorize for Finance Interviews
TVM is tested in virtually every finance interview. Be ready to calculate NPV, IRR, and loan amortization mentally.
Numerical Example - SIP Power in Indian Context
Ramesh starts a SIP of ā¹10,000/month at age 25. Priya starts the same SIP at age 35. Assuming 12% CAGR:
The situation is simple: both investors make the same monthly SIP, but Ramesh starts at age 25 while Priya starts at age 35. The framework is Future Value of regular savings, where time and compounding drive the final corpus. Ramesh invests ā¹42,00,000 versus Priya's ā¹30,00,000, and reaches ā¹3.53 Crore versus ā¹99.9 Lakh at age 60.
Where TVM Shows Up in Finance Decisions
This concept underpins every finance decision: from bond pricing to DCF valuation to capital budgeting. Discounted Cash Flow (DCF) is intrinsic valuation: sum of future FCFs discounted to present at WACC. Net Present Value (NPV) is sum of DCF cash flows minus initial investment, and NPV > 0 = value-creating.
Internal Rate of Return (IRR) is the discount rate that makes NPV = 0. Weighted Average Cost of Capital (WACC) is the blended cost of all financing and is used as the enterprise DCF discount rate.
Structuring a Time Value of Money Interview Answer
"Walk me through DCF."
The safest DCF answer starts with TVM. Do not jump straight to valuation mechanics before explaining that discounting brings future cash flows back to today.
The most frequent error is treating present value and future value as interchangeable without applying compounding or discounting. That costs points because TVM is the foundation of DCF, NPV, IRR, bond pricing, capital budgeting, and loan amortization.
Conclusion
Time Value of Money is the core principle that links money, time, return, and decision-making. Master compounding, discounting, PV, FV, annuities, perpetuities, and growing perpetuities, because the same logic powers DCF valuation, NPV, IRR, loans, and investment timing decisions.