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If the cash equivalent of a perpetuity of ₹ 1200 payable at the end of each quarter is ₹ 96,000, then the rate of interest convertible quarterly is:

Solution

✅ Correct Option: 3

For a perpetuity, present value is Ri\frac{R}{i}, so i=120096000=0.0125i=\frac{1200}{96000}=0.0125 per quarter. The nominal annual rate convertible quarterly is 4×1.25%=5%4\times 1.25\%=5\%.

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