Time Value of Money: Why Money Today Is More Valuable Than Money Tomorrow
“A bird in the hand is worth two in the bush.” – Miguel de Cervantes
The Time Value of Money (TVM) is one of the most important ideas in finance. It explains a simple truth:
Money available today is generally more valuable than the same amount in the future, because today’s money can be used, saved, or invested based on one’s needs.
Understanding TVM helps in many financial decisions—such as planning for education expenses, retirement, comparing investment choices, or estimating the cost of borrowing. TVM does not predict or guarantee returns; it only provides a structured way to understand how money’s value may change under certain assumptions.
What Is the Time Value of Money?
At its core:
₹1 today is generally worth more than ₹1 tomorrow.
This is because money today can be:
- Invested to potentially earn returns
- Used to reduce high-interest debt
- Utilised immediately for current needs
TVM helps compare the value of money across different time periods using basic financial assumptions.
Key Concepts: Present Value, Future Value, Interest Rate and Time
1. Present Value (PV)
The value of money today.
2. Future Value (FV)
The value of money at a later date based on an assumed growth rate.
3. Interest / Growth Rate (i)
The rate at which money is assumed to grow.
Actual returns may vary and are not assured.
4. Time Period (n)
The duration for which money is invested or discounted—years, months, or quarters.
Factors such as inflation, taxes, and discount rates influence how money’s value changes over time.
Key Formulas
Future Value (FV)
FV=PV×(1+i)nFV = PV \times (1+i)^nFV=PV×(1+i)n
Present Value (PV)
PV=FV(1+i)nPV = \frac{FV}{(1+i)^n}PV=(1+i)nFV
Compounding
Calculating how money may grow over time.
Discounting
Calculating the value today of an amount expected in the future.
These formulas help compare present and future values under different assumptions.
Examples
1. Calculating Future Value
If you invest ₹1,000 at an assumed 10% rate for 5 years:
FV=1000×(1.1)5=₹1,610.51FV = 1000 \times (1.1)^5 = ₹1,610.51FV=1000×(1.1)5=₹1,610.51
2. Comparing Two Receipts of Money
- Option A: ₹1,00,000 after 6 years
- Option B: ₹55,000 today
Assuming a discount rate of 12%:
PV=100000(1.12)6=₹50,663.11PV = \frac{100000}{(1.12)^6} = ₹50,663.11PV=(1.12)6100000=₹50,663.11
Since ₹55,000 today is higher than ₹50,663.11, Option B has a higher present value under these assumptions.
3. Finding the Annualised Growth Rate
If ₹11,000 becomes ₹50,000 in 8 years:
50000=11000×(1+n)850000 = 11000 \times (1+n)^850000=11000×(1+n)8
This results in an approximate compounded annual rate of 20.84%.
(This is only an arithmetic example and does not indicate future returns.)
4. Rule of 72 (Quick Estimate)
A quick way to estimate how long money takes to double:
Years to double≈72i%\text{Years to double} \approx \frac{72}{i\%}Years to double≈i%72
At 12%:
7212=6 years (approx.)\frac{72}{12} = 6 \text{ years (approx.)}1272=6 years (approx.)
Actual compounding works out to around 6.12 years.
Final Thoughts
The Time Value of Money provides a simple, structured way to compare money across time.
It helps investors think more clearly about financial decisions.
However, all TVM calculations rely on assumptions.
They do not indicate or guarantee future performance.
Mutual Fund investments are subject to market risks. Please read all scheme-related documents carefully before investing. Examples and rates used here are purely for educational illustration and should not be considered indicative of future performance
