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Perpetuity, Sinking Funds & Bonds · Question 30 of 63

Question 30

HardOriginal question

₹3,000 is put into a fund at the end of every quarter for 2 years, at 8% a year compounded quarterly. To the nearest rupee, how much is in the fund at the end? (Take (1.02)8=1.171659(1.02)^{8} = 1.171659.)

Options for question 30

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. Per quarter i=8%4=0.02i = \frac{8\%}{4} = 0.02, and there are n=8n = 8 deposits.

  2. A=3,000×0.1716590.02≈25,749A = 3{,}000 \times \frac{0.171659}{0.02} \approx 25{,}749 rupees.

Worth noting

₹6,437 uses the yearly rate, 0.08, with 8 quarterly periods.

Concept
A sinking fund with quarterly deposits
Typical time
120 s
Your time
—
The rule this testsSinking funds
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Ten questions from Perpetuity, Sinking Funds & Bonds, at your own pace.

Practise this chapter →

Ten questions from Perpetuity, Sinking Funds & Bonds, at your own pace.