Terminology and Symbols
The equations and procedures of engineering economy utilize the following terms and symbols. Sample units are indicated.
P = value or amount of money at a time designated as the present or time 0. Also P is referred to as present worth (PW), present value (PV), net present value (NPV), discounted cash fl ow (DCF), and capitalized cost (CC); monetary units, such as dollars
F = value or amount of money at some future time. Also F is called future worth (FW) and future value (FV); dollars
A = series of consecutive, equal, end-of-period amounts of money. Also A is called the annual worth (AW) and equivalent uniform annual worth (EUAW); dollars per year, euros per month
n = number of interest periods; years, months, days
i = interest rate per time period; percent per year, percent per month
t = time, stated in periods; years, months, days
The symbols P and F represent one-time occurrences: A occurs with the same value in each interest period for a specifi ed number of periods. It should be clear that a present value P represents a single sum of money at some time prior to a future value F or prior to the fi rst occurrence of an equivalent series amount A .
It is important to note that the symbol A always represents a uniform amount (i.e., the same amount each period) that extends through consecutive interest periods. Both conditions must exist before the series can be represented by A .
The interest rate i is expressed in percent per interest period, for example, 12% per year. Unless stated otherwise, assume that the rate applies throughout the entire n years or interest periods. The decimal equivalent for i is always used in formulas and equations in engineering economy computations.
All engineering economy problems involve the element of time expressed as n and interest rate i . In general, every problem will involve at least four of the symbols P, F, A, n, and i , with at least three of them estimated or known.
Additional symbols used in engineering economy are defi ned in Appendix E.
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