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Perpetuity, Sinking Funds & Bonds · Question 14 of 63

Question 14

HardOriginal question

A trust will pay ₹10,000 a year for ever, the first payment today. At 5% a year, what is its present value?

Options for question 14

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. Today's payment is worth ₹10,000 as it stands; the rest is an ordinary perpetuity worth 10,0000.05=2,00,000\frac{10{,}000}{0.05} = 2{,}00{,}000.

  2. In all, 10,000+2,00,000=2,10,00010{,}000 + 2{,}00{,}000 = 2{,}10{,}000 rupees.

Worth noting

₹2,00,000 is right when the first payment comes a year from now; here one more payment is made at once.

Concept
A perpetuity whose first payment is today
Typical time
120 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.