Question

What is meant by the Time Value of Money?

Hint:

Remember: Time Value of Money means money today is worth more than the same amount tomorrow because it can earn interest. TVM is the foundation of finance - used in investing, borrowing, and valuation decisions.

Answer 1

Step 1: Definition of Time Value of Money (TVM).
Time Value of Money (TVM) is a financial concept that states that money available today is worth more than the same amount of money in the future. This is because money has the potential to earn interest or grow through investments over time.

Step 2: Core principles of TVM.

Purchasing Power:

• Money today can buy more goods and services than the same amount in the future due to inflation
• Inflation erodes the purchasing power of money over time
• Example: ₹100 today can buy more than ₹100 after 5 years

Earning Capacity:

• Money today can be invested to earn returns (interest, profit)
• Future money cannot be invested today
• Example: ₹1000 invested today at 10% becomes ₹1100 after one year

Risk and Uncertainty:

• Future is uncertain; there is risk of not receiving future money
• Money in hand eliminates counterparty risk

Step 3: Key concepts related to TVM.

• Present Value (PV): Current value of a future sum of money discounted at a specific rate
• Future Value (FV): Value of current money after earning interest over a period
• Discount Rate: Rate used to calculate present value of future cash flows
• Compound Interest: Interest earned on both principal and accumulated interest

Step 4: Simple example.

If you have ₹1000 today and can invest at 10% annual return:

• Future Value after 1 year = ₹1000 × (1 + 0.10) = ₹1100
• The same ₹1000 received after 1 year is worth only ₹909 today (discounted at 10%)

Step 5: Importance of TVM.

• Used in investment decisions (NPV, IRR calculations)
• Helps in loan and mortgage calculations
• Essential for retirement planning
• Used in bond pricing and valuation
• Helps compare cash flows occurring at different times