Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Financial Mathematics

Question:

At 6% converted quaterly, the present value of perpetuity of 6,000 payable at the end of each quarter (in rupees ) is :

Options:

1,00,000

10,000

40,000

4,00,000

Correct Answer:

4,00,000

Explanation:

The correct answer is Option (4) → 4,00,000

$\text{Present Value}=\frac{\text{Payment per period}}{\text{Periodic interest rate}}$

$\text{Quarterly Rate}=\frac{6\%}{4}=1.5\%=0.015$

$PV=\frac{6000}{0.015}=4,00,000$