Environmental Engineering Problems and Solutions

Chapter 6: Engineering Economy

OVERVIEW

The following equations and terms are used in this Chapter to solve compound interest problems and problems in engineering economy. These interest formulas are from Principles of Engineering Economy 1 by Eugent L. Grant and W. Grant Ireson.

Definition of terms used:

  • P = present sum of money at time zero

  • n = number of interest periods

  • i = interest rate

  • S = sum of money at the end of n interest periods

  • R = end-of-period payments in a uniform series extending for n periods

A summary of the interest equations used in this chapter is given in Table 6.1.

Table 6.1: Interest Formulas

Given

Find

Interest Factor Used

Abbreviation

Abbreviated Equation

Interest Formula

P

S

Single Payment Compound Amount

caf ?

S = P (caf ?)

S = P (l + i) n

S

P

Single Payment Present Worth

pwf ?

P = S (pwf ?)

S

R

Sinking Fund Factor

sff

R = S (sff)

P

R

Capital Recovery Factor

crf

R = P (crf)

R

S

Uniform Series Compound Amount

caf

S = R (caf)

R

P

Uniform Series Present Worth

pwf

P = R (pwf)

The following discussion of several of the more common cost indexes is included as an introduction to this chapter. Cost indexes are useful to adjust costs for inflation and to make general or preliminary cost estimates. A special reprint of the Engineering New-Record Building Cost, Construction Cost, and Labor indexes by geographical location is included in the...

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