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Perpetuity, Sinking Funds & Bonds · Question 7 of 63

Question 7

MediumOriginal question

A perpetuity pays ₹1,500 at the end of every quarter. Money earns 12% a year, compounded quarterly. What is its present value?

Options for question 7

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. Payments are quarterly, so use the quarterly rate: i=12%4=3%=0.03i = \frac{12\%}{4} = 3\% = 0.03.

  2. 1,5000.03=50,000\frac{1{,}500}{0.03} = 50{,}000 rupees.

Worth noting

₹12,500 divides a quarterly payment by the yearly rate, 0.12.

Concept
A perpetuity paid every quarter
Typical time
90 s
Your time
—
The rule this testsPerpetuity
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.