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Perpetuity, Sinking Funds & Bonds · Question 16 of 63

Question 16

HardOriginal question

A scholarship of ₹4,000 a year is paid for ever, the first payment today. At 8% a year, what is its present value?

Options for question 16

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. Today's payment counts in full, ₹4,000; the rest is an ordinary perpetuity worth 4,0000.08=50,000\frac{4{,}000}{0.08} = 50{,}000.

  2. In all, 54,00054{,}000 rupees.

Worth noting

₹50,000 treats the first payment as coming a year from now.

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.