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Perpetuity, Sinking Funds & Bonds · Question 13 of 63

If money earned only 5% a year, how much would the scholarship trust need today?

Question 13

MediumOriginal question

A family sets up a trust to pay a scholarship of ₹15,000 at the end of every year, for ever. Money earns 6% a year.

If money earned only 5% a year, how much would the scholarship trust need today?

Options for question 13

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. 15,0000.05\frac{15{,}000}{0.05}.

  2. ₹3,00,000: a lower rate needs a bigger fund to pay the same amount.

Worth noting

₹2,40,000 moves the wrong way; the fund must grow when the rate falls.

Concept
A perpetuity and the interest rate
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.