What is the Time Value of Money (TVM)?
Time Value of Money (TVM) is the foundational financial concept that money available today is worth more than the same amount in the future, because of its earning potential. A dollar invested today can earn interest, generate returns, or be deployed productively — making future money worth less in present terms. TVM underpins virtually all modern finance: investment valuation, lending, capital budgeting, retirement planning.
Key TVM formulas
- Future Value (FV):
FV = PV × (1 + r)^n— how much $1 today is worth after n periods at rate r - Present Value (PV):
PV = FV / (1 + r)^n— how much future FV is worth today - Net Present Value (NPV): Sum of all discounted future cash flows minus initial investment
- Annuity: Stream of equal payments — special formulas
Numerical example
$10,000 invested at 8% annual return:
- After 1 year: $10,800
- After 5 years: $14,693
- After 10 years: $21,589
- After 30 years: $100,627
Conversely: $100,000 expected 30 years from now at 8% discount = $9,938 today.
Why TVM is true
- Inflation: Money loses purchasing power over time (Türkiye 2022-2024 yıllık %50-80 enflasyon — TVM çok belirgin)
- Opportunity cost: Money tied up isn’t earning elsewhere
- Risk: Future is uncertain — money in hand is more valuable than promised future money
- Compounding: Returns earn returns (“eighth wonder of the world” — Einstein)
TVM in startup decisions
- Valuation: DCF (Discounted Cash Flow) models project future cash flows back to present
- Investor return: VC IRR (Internal Rate of Return) is TVM-based — earlier exits at lower multiples can beat later exits at higher multiples
- Loan vs equity: Comparing debt cost vs equity dilution requires TVM analysis
- SAFE / Convertible: Cap + discount mechanics implicitly value future conversion vs current equity
- Customer LTV: Future revenue discounted at WACC equals customer present value
TVM in M&A
- Earn-outs: Future payments must be NPV-adjusted
- Deferred consideration: Holdback escrow has TVM cost
- Stock vs cash deal: Stock has uncertain future value
TVM in personal finance
- Retirement saving: Starting age matters enormously — $5k/year from 25 to 65 at 8% = $1.5M; from 35 to 65 = $612k
- Mortgage: Choosing 15-year vs 30-year has massive TVM implications
- Credit card debt: 20%+ interest compounding rapidly destroys wealth
Discount rate selection
The discount rate (r) used dramatically affects calculations. Common choices:
- Risk-free rate: Government bond yield (US Treasury, Türkiye tahvil)
- WACC (Weighted Average Cost of Capital): Blended cost of debt + equity
- Required return: Investor’s target IRR (VCs: 30-50%)
- Hurdle rate: Minimum acceptable return
TVM in inflation-heavy economies (Türkiye 2022-2025)
Türk yatırımcı için real (gerçek) vs nominal (görünür) getiri ayrımı kritik: %30 nominal getiri + %50 enflasyon = -%13 reel kayıp. TVM hesaplamaları reel getiri üzerinden yapılmalı.
Practical implications for founders
TVM mental model her hafta kullanılır: SAFE valuation cap müzakeresi, çalışan opsiyon stripe sözleşmeleri, müşteri yıllık vs aylık fiyatlandırma, banka kredisi vs equity round. Excel’de NPV() ve IRR() formülleri startup CFO’sunun ana araçlarıdır. Vircon Legal yatırım turu yapılandırmasında TVM-uyumlu deal structuring sağlar.