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Find Accumulated Value After 1 Year of Annuity Immediate in Which Rs 20,000 is Invested Every Quarter, at .16% P.A. Compounded Quarterly. Given : (1.04)4 = 1.1699 - Mathematics and Statistics

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प्रश्न

Find accumulated value after 1 year of annuity immediate in which Rs 20,000 is invested every quarter, at .16% p.a. compounded quarterly.
[Given : (1.04)4 = 1.1699]

योग

उत्तर

C = 20,000; n = 4; rate = 16% p.a

r = `16/4` % per quater
r = 4%
i = `r/100` =0.04

Accumulated value A = `C/i [(1 + i)^n  -1]`

                                   = `20000/(0.04) [( 1 + 0.04)^4 -1]`

                                   = 5,00,000 [(1.04)4 - 1]

                                   = 5,00,000 [1.1699 -1]

                                   = 5,00,000 [0.1699]

                               A  = Rs 84,950

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2016-2017 (July) Set 1

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