yashu needs rs236027.904 to purchase a car after year. how much money should he deposit in the bank to get required sum if rate of interest is 12 percent p.a.,compounded annually
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This sum is the sum of a geometric progression of n terms, with ratio 1+i/12 and first term m/(1+i/12). So
P=∑k=1nm(1+i12)k=m1+i12(11+i/12)n−111+i/12−1=m(1+i12)n−1i12(1+i12)n.(1)
The ratio P/m is called the series present-worth factor (uniform series)1.
For P=19500, m=400 and n=5×12=60 we have:
19500=400(1+i12)60−1i12(1+i12)60.(2)
I solved numerically (2) for i using SWP and got
i≈0.084923≈8.49%.
THIS PROCESS. MAY. HELP YOU
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