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What is the time value of money?

The Time Value of Money (TVM) is the core financial concept that a sum of money today is worth more than the identical sum in the future because of its earning potential, inflation, and risk. This means you can invest money today to earn returns (like interest or capital gains), increasing its value over time, while inflation erodes purchasing power, and future payments carry uncertainty. Understanding TVM helps with investment decisions, loans, and financial planning, as money can grow if invested or lose value if left idle.

Key Reasons for TVM

  • Earning Potential (Opportunity Cost): Money you have now can be invested to earn interest, growing your wealth; a future payment misses out on this growth.
  • Inflation: The rising cost of goods and services reduces the purchasing power of money over time, making future money less valuable.
  • Risk/Uncertainty: There's always a chance that a promised future payment won't be received, making immediate money more secure
  • Investing Today: 100 today, invested at 5% interest for one year, becomes ₹105, showing its growth potential.
  • Future Value: The present ₹100 is worth more than *100 a year from now because the ₹100 today can become ₹105.
  • Present Value: Calculating what a future amount (e.g., 1,200 in two years) is worth today, discounted by an interest rate, shows its equivalent current value.
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Key Factors in TVM Calculations

  • Present Value (PV): The current worth of a future sum.
  • Future Value (FV): The value of an investment at a future date.
  • Interest Rate (i): The rate of return or cost of borrowing money.
  • Time Period (t): The length of time the money is invested or borrowed.

Practical Applications

Comparing investment options, Determining loan payments and mortgage costs, and Valuing future cash flows for business decisions.