EduFarming
Your list · 0हिं

Type at least two letters. Press Esc to close.

↑↓ navigate↵ openTAB cycle filter

Perpetuity, Sinking Funds & Bonds · Question 22 of 63

Question 22

MediumOriginal question

₹5,000 is put into a sinking fund at the end of every year for 4 years, at 8% a year. How much is in the fund after the fourth deposit? (Take (1.08)4=1.3605(1.08)^{4} = 1.3605.)

Options for question 22

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. The fund is the amount of an annuity: A=R×(1+i)n−1iA = R \times \frac{(1 + i)^{n} - 1}{i}.

  2. A=5,000×0.36050.08=5,000×4.50625=22,531.25A = 5{,}000 \times \frac{0.3605}{0.08} = 5{,}000 \times 4.50625 = 22{,}531.25 rupees.

Worth noting

₹24,333.75 is for deposits at the start of each year, each earning one more year's interest.

Concept
What a sinking fund builds up to
Typical time
90 s
Your time
—
The rule this testsSinking funds
Practise this chapter →

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.