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Perpetuity, Sinking Funds & Bonds · Question 24 of 63

Question 24

MediumOriginal question

RR is deposited at the end of each period for nn periods at rate ii a period. Which formula gives the amount in the fund just after the last deposit?

Options for question 24

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. Each deposit grows for the periods left after it: the first for n−1n - 1, the last for none.

  2. Adding the geometric series gives R (1+i)n−1iR\,\frac{(1 + i)^{n} - 1}{i}.

Worth noting

Ri\frac{R}{i} is the value of a perpetuity, not of nn deposits.

Concept
The amount of a sinking fund
Typical time
90 s
Your time
—
The rule this testsSinking funds
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.