Formula Sheet Type Single Amount Uniform Series Find/Given F|P Compound amount P/F Present worth PIA Present worth AP Capital recovery FJA Future worth A|F Sinking fund Factor Notation and Formula (F|P,i,n) = (1 + i)" 1 (P/F,i,n) = (1+ i)" (1+ i)" - 1 (PIA.i.n) =- i(1 + i)" i(1+ i)" (A/P.i.n) = (1+i)" -1 (FIA,i,n) = (1+ i)" - 1 (AIF,i.n) : i A= F(A|F,i,n) (1+ i)" - 1 Relation F= P(F|P,i,n) Sample Cash Flow Diagram F 0 1 P=F(P|F,i,n) 2 n-1 + n P P- A(P|A,i,n) A A ··· A A A- P(A|P,i,n) 0 1 T 2 n-1 n P F= A(F|A,i,n) F 0 1 2 n-1 n A A ··· A A 1 | Page
Formula Sheet Arithmetic AGIG Uniform series Gradient PGIG Present worth (1 + i)" - in - 1 12(1 + i)" (P/G,i,n) = PG= G(P|G,i,n) 1 n AG= (A/G.i,n) = 7 (1+i)" - 1 (Gradient only) PG AG AG AG ··· AG AG G(A|G,i,n) 0 1 3 n Geometric Gradient Pgl41andg Present worth A1 1- 1+g 1+i P = i- g n 1+i A1 8 -i (Gradient and base A1) G 20 (n-1) G A1(1+g)"-1 A, A1(1+g) - :0 1 2 n-1 n Pe Spreadsheet Function to Display a Factor's Numerical Value: Factor Notation (P/F,i,n) (F/P,i,n) (A/F,i,n) (F/A,i,n) (P/A,i,n) (A/P,i,n) Spreadsheet Function = - PV(i,n,,1) = - FV(i,n,,1) = - PMT(i,n,,1) = - FV(i,n,1) = - PV(i,n,1) = - PMT(i,n,1) 2 | Page