This topic explains the various concepts used to calculate future values or present values of a series of cash flows that result from engineering decisions to buy new equipment or replace old equipments.
Introduction
Single Payment Cashflow
Uniform Periodic Payments
Discounting of uniform series of cash payments
P = R [(1+i)n - 1]/[i 1+i)n ]
Where
P = Present Value
R = Uniform series of periodic payments
i = interest rate
n = number of periods of payments
These time value formulas are expressed in factors
A = P*Single payment future worth factor =P*Spfwf
P = A* Single payment present worth factor = A*Sppwf
S = R* Uniform series future worth factor = R*Usfwf
P = R*Unform series present worth factor = R*Uspwf
Two More Factors
Sinking Fund Deposit Factor
Sfdf = 1/Usfwf
Sinking fund is fund accumulated with periodic payments for incurring a lumpsum expenditure at the end of a long period. Sfdf gives the amount to be deposited at the end of each period for n period to accumulate one dollar at the end n periods.
Capital Recovery Factor
Crf = 1/Uspwf
Capital recovery factor gives the uniform payment to be received by you at the end period of n years to get recover back the investment you made today.
The factor tables are available and factors depend on interest rate i and term n.
Factors for a required rate of return of 10% and 5 years term.
Spfwf - 1.6105
Sppwf - .62092
Usfwf - 6.1051
Uspwf - 3.7908
Sfdf - 0.16380
Crf - 0.26380
References
Engineering Economics, 4th Edition, James L. Riggs, David D. Bedworth, and Sabah U. Randhawa, McGraw Hill, New York, 1996
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