Discounted measures of project worth are crucial tools used in project analysis, particularly in investment decision-making. They provide a method to evaluate the financial viability of projects by considering the time value of money. The core idea behind discounted measures is that a dollar earned in the future is worth less than a dollar earned today, and this discrepancy is adjusted for using a discount rate. There are several common discounted measures that help assess the attractiveness of a project: Net Present Value (NPV), Internal Rate of Return (IRR), and Profitability Index (PI). Each of these metrics provides a different way to understand the financial implications of undertaking a project. ### 1. Net Present Value (NPV) Net Present Value is one of the most widely used methods in project analysis. It calculates the present value of all cash inflows and outflows associated with a project, discounted at a specified rate (typically the cost of capital or a required rate of return). The formula for NPV is: [ NPV = \sum \frac{C_t}{(1+r)^t} - C_0 ] Where: * (C_t) is the cash inflow at time (t), * (r) is the discount rate, * (t) is the time period, and * (C_0) is the initial investment (a negative cash flow at time 0). The NPV helps to determine whether a project is financially viable. If the NPV is positive, the project is considered to add value to the firm, meaning the expected return exceeds the cost of capital. Conversely, a negative NPV indicates that the project would not generate