Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Financial Mathematics

Question:

At what rate will the present value of a perpetuity of Rs.1000 payable at the end of each quarter be Rs.50000?

Options:

5% p.a

8% p.a

2% p.a

4% p.a

Correct Answer:

8% p.a

Explanation:

The correct answer is Option (2) → 8% p.a

$PV = \frac{C}{r}$

$PV = 50000 ,\ C = 1000$

$50000 = \frac{1000}{r}$

$r = \frac{1000}{50000} = 0.02$

$r = 2\% \text{ per quarter}$

Annual Rate = $4 \times 2\% = 8\%$