Target Exam

CUET

Subject

Section B2

Chapter

Financial Mathematics

Question:

At 6% converted quarterly, the present value of a perpetuity of ₹900 payable at the end of each quarter is:

Options:

₹40000

₹42000

₹60000

₹6000

Correct Answer:

₹60000

Explanation:

The correct answer is Option (3) → ₹60000

Nominal rate $=6\%$ converted quarterly.

Rate per quarter:

$i=\frac{6}{4}\%=\frac{6}{4\cdot100}=\frac{3}{200}$

Payment each quarter $=900$.

Present value of perpetuity:

$PV=\frac{\text{payment}}{i}$

$PV=\frac{900}{\frac{3}{200}}$

$PV=900\cdot\frac{200}{3}$

$PV=60000$

Final answer: ₹60000