The Time Value of Money (TVM) is the concept that money available now is worth more than the same amount in the future due to its earning potential. Net Present Value (NPV) uses this principle to evaluate investments by discounting future cash flows to their present value. A positive NPV indicates a profitable investment, while a negative NPV suggests a loss, helping businesses make informed financial decisions.
The Time Value of Money (TVM) is the concept that money available now is worth more than the same amount in the future due to its earning potential. Net Present Value (NPV) uses this principle to evaluate investments by discounting future cash flows to their present value. A positive NPV indicates a profitable investment, while a negative NPV suggests a loss, helping businesses make informed financial decisions.
What is the time value of money (TVM)?
Money today is worth more than the same amount in the future because it can earn interest or generate returns. TVM adjusts for this by comparing cash flows at a common point in time using a discount rate.
What is net present value (NPV) and how is it calculated?
NPV is the sum of the present values of all future cash flows minus the initial investment: NPV = Σ CF_t / (1+r)^t − I0, where r is the discount rate and t is time.
What does a positive NPV indicate?
A positive NPV means the investment is expected to create value above its cost at the chosen discount rate; it is typically considered profitable.
How does the discount rate affect NPV?
A higher discount rate lowers the present value of future cash flows, reducing NPV; a lower rate increases present value and NPV.
Why use NPV to evaluate investments instead of just adding up cash flows?
NPV accounts for the time value of money and the opportunity cost of capital, providing a single monetary measure of profitability that is easier to compare across projects.