The present value (in ₹) of a perpetuity of ₹3600 payable at the end of each quarter, if the interest rate is 9% per annum compounded quarterly is :

₹1,60,000

The correct answer is Option (2) → ₹1,60,000

The present value (PV) of a perpetuity,

$PV=\frac{Periodic\,payment(c)}{Periodic\,interest\,rate(r)}$

$=\frac{3600}{\frac{9\%}{4}}=\frac{3600}{0.0225}$

$= ₹1,60,000$