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The present value of a sequence of payments of ₹3000 made at the end of every 6 months and continuing forever, if money is worth 9% per annum compounded semi-annually, is

Solution

✅ Correct Option: 3

A perpetuity has present value Ri\frac{R}{i}, where ii is the rate per payment period. Here i=0.092=0.045i=\frac{0.09}{2}=0.045, so the present value is 30000.045=66666.66\frac{3000}{0.045}=66666.66.

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