This lesson introduces the fundamental concept that money has a time value, which is a cornerstone of financial decision-making. It establishes why a dollar today is worth more than a dollar in the future and introduces the key TVM concepts and mechanics.

 

  • The Core Principle of TVM: The time value of money (TVM) is the central concept in finance, holding that a unit of currency received today is worth more than the same unit of currency received at some future date . This is due to its potential earning capacity—money in hand can be invested to earn interest or returns.

  • Key Variables in TVM: To solve any TVM problem, one must identify the following variables:

    • PV = Present Value: The current value of a future sum of money.

    • FV = Future Value: The value of a current sum of money at a specified date in the future.

    • I/Y = Interest Rate (or Discount Rate): The rate of return that could be earned on an alternative investment of similar risk.

    • N = Number of Periods: The number of compounding or discounting periods.

    • PMT = Payment: The recurring, equal cash flow in an annuity.

  • Compounding: The process of earning interest on interest over time, leading to the growth of an initial investment. Future Value (FV) is calculated by compounding a present value.

    • FV = PV × (1 + r)^n, where r is the interest rate and n is the number of periods.

  • Discounting: The process of determining the present value of a future sum of money. It is the inverse of compounding.

    • PV = FV / (1 + r)^n.

  • The Frequency of Compounding: The more frequently interest is compounded, the higher the future value will be. Standard compounding frequencies are annual, semi-annual, quarterly, and monthly. Continuous compounding represents the maximum growth possible.

  • Practical Applications of TVM: The principles of TVM are used in a wide range of practical financial decisions :

    • Comparing investment alternatives.

    • Calculating the cost of loans and mortgages.

    • Estimating the future value of retirement savings.

    • Valuing bonds and stocks.

    • Evaluating the viability of capital investment projects.

PreviousNext