Uniform series present worth factor

The P/A ratio is known as the uniform-series present-worth factor. The annual cash flow may be discounted to present worth by multiplication by P/A. Multiplication of present value by A/P gives the amount of annual cash flow. The factors P/F, P/A and A/P for a period of 30 years at interest rates of 6, 8, 10, 12, 15 and 20% for a period of 1-30 years are given in Table 5.1. Depreciation D is an annual tax allowance for the... 

The expression [(1 + i)n — l]/[i(l + i)B] is referred to as the discrete uniform-series present-worth factor or the series present-worth factor, while the reciprocal [i(l + /)"]/[(1 + /) - 1] is often called the capital-recovery factor. 

Discrete uniform-series present-worth factor,... 

For the positive cash flows, the annual after-tax cash flow (A) is discounted backward by using a parameter known as the uniform series present worth factor (P/A). This factor is dependent on both interest rate (rate of return) and the lifetime of the facility and was defined earlier by... 

Note the factor (PIA, i, N) is the functional form of the uniform series present worth factor, the algebraic form of which is ((1 + - l)/(i(l + if). Similarly, the functional form of the single... 

Present Worth Factor (Single Payment) Compound Amount Factor (Uniform Series)... 

Fourth term [S(P/F, /%, )] The fourth term translates the future value of salvage to present value. This is a one time event rather than a uniform series and therefore it involves the single payment present worth factors. Many corrosion measures, such as coatings and other repetitive maintenance measures, have no salvage value, in which cases this term is zero. 

Annuity equations relating F and the periodic payments. A, are converted to equations relating P to A by combining them with Eq. (17.12) for discrete interest or Eq. (17.20) for continuous interest. This is often referred to as discounting the amount of the annuity to determine its present worth. In Table 17.7, under periodic interest, the discrete uniform-series sinking-fund deposit factor becomes the discrete uniform-series capital-recovery facte in the following manner ... 

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