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Rente. MAIN TOPIC. Definition. one capital consecution yg are paid or accepted in the beginning of or final period with compound interest yg level of same or fixed. Macam-macam rente. direct Interest first payment is directly paid in the beginning of or final a period of first interest .
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MAIN TOPIC Definition • one capital consecution yg are paid or accepted in the beginning of or final period with compound interest yg level of same or fixed.
Macam-macam rente • direct Interest first payment is directly paid in the beginning of or final a period of first interest. • Interest yg is delayed/ delayed and others. First Payment is not conducted directly, but can be also conducted after some times the duration. • Limited Interest is if to the number of instalment not limited. • interest Pranumerando is if last payment always in the early period. • interest Postnumerando adala [of] if instalment paid by the end of period.
Final value of Interest Pranumerando • With formula of deret geometry • Representing deret of geometry with so that
Contoh: • At every date of 1 January 2007 Umi save in bank of equal to Rp 1.000.000 with flower 2% per annum, hence whether/what amount of saving of Umi by the end of year 2009 • Is known • M = 1.000.000; P=2%; i= 0,02; n = 2
Become, money of Umi by the end of year 2009 [is] Rp 2.060.400 Continuation of in file of Interest and Annuity ( ms. Word)
Anuitas • Follow the example of. Anton owe equal to Rp 4.000.000 will be paid with annuity of Rp 500.000 per month with rate of interest 2% one month. Count the level of instalment ke-8
Jawab: • M= 4.000.000; A= 500.000; i=2%; a8=..? • an= (A – iM)(1 + i)n-1 • a8= (500.000 – 0,02 x 4.000.000)(1 + 0,02)8-1 • a8= (500.000 – 80.000)(1,02)7-1 • a8= (420.000)(1,148685668) • a8 = 482.447,98 • Jadi angsuran ke-8 adalah Rp 482.447,98
Kisi-kisi • Compound Interest • Rente • Anuitas