Annuity Due- an annuity whose series of equal payment at equal interval of time made at the beginning of every period. are Tip ko dito: Basta may word na “Beginning” or “1st day”, Annuity Due na yan Example: Beginning of the year Beginning of each month Due on the first day of every year Due on the first day of every month Madami pa iba… RECITE THIS: “P” ANG GAMITIN PAG UNKNOWN ANG DINEPOSIT OR INUTANG NA PERA, MEANING, SA KAMAY MO NA YUNG PERA (PRESENT AMMOUNT) KEY PHRASE: HOW MUCH IS BORROWED “F” ANG GAMITIN PAG HINDI ALAM ANG FINAL AMMOUNT. KEY PHRASE: WHAT IS THE SUM AFTER THE LAST DEPOSIT. NAG INVEST KA OR DEPOSIT KA THEN HINAHANAP ANG LAST AMMOUNT NG DEPOSIT MO.KEY PHRASE: WHAT IS THE FINAL SUM OF THE DE “P” PROBLEM ( Given: Period= Monthly A= 1000 i= 12% = (.12/12) = 0.01 n= 6x12= 72 A, i, n ) “F” PROBLEM ( Given: Period= Annual A= 4000 i= 6% = 0.06 n= 6 A, i, n ) “n” PROBLEM ( P, i, n ) A man borrowed 150 000 from the bank at 8% compounded monthly. If he is required to pay 3450 on the first day of every month, how many years will it take to pay his obligations? Given: Period= Monthly A= 3 450 i= 8% = 0.0067 P= 150 000 n= 12X “i” PROBLEM ( P, A, n ) A man borrowed 150 000 from the bank compounded monthly. If he is required to pay 3450 on the first day of every month for 4.26 years. What is the interest rate? Period= Monthly A= 3 450 i= i/12= 0.083 P= 150 000 n= 12 x 4.26= 51.12