At 6% converted quarterly, the present value of a perpetuity of ₹900 payable at the end of each quarter is: |
₹40000 ₹42000 ₹60000 ₹6000 |
₹60000 |
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 |