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Perpetuity, Sinking Funds & Bonds · Question 9 of 63

Question 9

MediumOriginal question

A perpetuity pays ₹2,000 at the end of every half-year. Money earns 10% a year, compounded half-yearly. What is its present value?

Options for question 9

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. Payments are half-yearly, so use the half-yearly rate: i=10%2=0.05i = \frac{10\%}{2} = 0.05.

  2. 2,0000.05=40,000\frac{2{,}000}{0.05} = 40{,}000 rupees.

Worth noting

₹20,000 divides a half-yearly payment by the yearly rate, 0.1.

Concept
A perpetuity paid every half-year
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.