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Find the Accumulated Value After 3 Years of an Immediate Annuity of Rs 2,000 P.A. with Interest Compounded at 10% P.A. - Mathematics and Statistics

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प्रश्न

Find the accumulated value after 3 years of an immediate annuity of Rs 2,000 p.a. with interest compounded at 10% p.a. [Given (1.1)3 = 1.331] 

योग

उत्तर

Given: C = Rs 2,000, r= 10% p.a. h = 3 years

t = `"r"/100 = 10/100 = 0.1`

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

`= 2000/0.1 [(1 + 0.1)^3 - 1]`

`= 20000 [(1.1)^3 - 1]`

= 20000 [0.331]

∴ A = 6620

∴ Accumulated value of annuity = Rs 6620

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2017-2018 (July) Set 1

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