Quarterly deposits of $500 are made at t = 1,2,3,4,5,6, and 7. Then withdrawals of size A are made at t = 12, 13, 14, and 15, and the fund is depleted with the last withdrawal. If the fund annual rate is 6%, compounded quarterly, what is the value of A? Use factor notation and show your work. Extra credit: What is the effective interest rate? BI U A - A HTML Editor IX E 11 x x VX * V TT 12p Uniform Series Series Compound Amount: To Find F Given A (F/A,,n) FA Sinking Fund: To Find A Given F (A/F.1,n) AF (1 +1 - --- latin--] Capital Recovery: To Find A Given P (A/P.I.) AP (1+1) (1+1)" - 1 Series Present Worth: To Find P Given A (P/A,1,1) PA (1+1)-1 (1+0) Arithmetic Gradient (n-1) 36 Arithmetic Gradient Uniform Series: To Find A CA/G, 6.) AG [(1 + i)"-in-1 Given G (1 + i)" - or A=c(-0 (1 + ' A (-1 3G Arithmetic Gradient Present Worth: To Find P (P/G.i.n) P=G [(1 + i)'-in-1 Given G (1+1)" 26 P(1 + ir Geometric Gradient Geometric Series Present Worth: To Find P (P/A,8,1,n) P=A[n(1 + i) - Given A1,8 When i = 8 A=4eg To Find P Given A1,8 (P/A,8,1,n) When i #8 P=A1 [1-0 +241 + *