# Each press of e while trace is turned on cycles the

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Unformatted text preview: ace and read calculation results along the graph. Each press of e while trace is turned on cycles the displayed value in the sequence: present value (PV) → simple interest (SI) → simple future value (SFV). Pressing d cycles in the reverse direction. Press i to turn off trace. Press i again to return to the parameter input screen. 20010101 2-3-1 Compound Interest 2-3 Compound Interest This calculator uses the following standard formulas to calculate compound interest. u Formula I PV+PMT × (1+ i × S)[(1+ i)n–1] n i(1+ i) + FV 1 n (1+ i) =0 i= I% 100 Here: PV= –(PMT × α + FV × β ) PMT × α + PV FV= – β PV + FV × β PMT= – log n= α= β= PV : present value FV : future value PMT : payment n : number of compound periods I% : annual interest rate i is calculated using Newton’s Method. { α (1+ i S ) PMT–FVi (1+ i S ) PMT+PVi } S = 0 assumed for end of term S = 1 assumed for beginning of term log(1+ i) (1+ i × S)[(1+ i)n–1] i(1+ i)n 1 (1+ i)n F( i) = Formula I F ( i) = [ (1 + i S)[1– (1 + i)–n] PMT + (1 + i S)[n(1 + i)–n–1]+S [ – i i +S [1–(1 + i)–n] – nFV(1 + i)–n–1 u Formula II (I% = 0) PV + PMT × n + FV = 0 Here: PV = – (PMT × n + FV ) 20011201 20010101 2-3-2 Compound Interest FV = – (PMT × n + PV ) PMT = – PV + FV n PV + FV...
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