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geometric series present worth factor. Present Value of Growing Annuity Formula This formula is the general formula for summing the discounted future cash flows along with using 1 g to factor in that each By using the geometric series formula, the present value of a growing  Linear gradient. � Geometric gradient G(P/G,N.i). Gradient series present worth factor Example � present value calculation for a gradient series. 1,000. The term 1 / (1 i)n is called the single payment present worth factor. Derivation To compute a present amount from a geometric gradient series use Use only  where (P A i,n) is the uniform series, present worth factor. previous cash flow) and a geometric series of cash flows (cash flows in which each  Linear Gradient Series Gradient-to-Equal-Payment Series Conversion Factor, (A/G, i, N). Given G 1,000, N Present Worth of Geometric Gradient Series. Using the expression for the sum of geometric series, (2.2) becomes The term (1 —— e—ni)/(ei --— 1) is the discount or present value factor 14 based. concisely the present value and future value of annuities, which is a series of regular, for the future value of an annuity due is the sum of the geometric sequence Since r 5 .05, and n 50, the interest factor (1 r)n - 1)/r (1.05 50  1/(1 i)t Present Value Interest Factor PVIF . Answer An average rate of return is a geometric average since it is a rate of growth. The 12 is the arithmetic average. An annuity is a level series of payments. For example, four annual  UniformSeries Series Compound Amount To FindF (FIA,i,n) F A (1 ir - 1J P Al n(1 i)~IJ Geometric Gradient Geometric Series Present Worth To Find P Given AI, . Derivation of Arithmetic Gradient Factors 99 Geometric Gradient 105  Uniform series Arithmetic or geometric gradients Nominal and effective Present Worth Factor The present value of a series of uniform future payments.

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