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NISM Certifications · NISM-Series-X-B: Investment Adviser (Level 2) · Comparison of Products Across Categories

Caselet: Mr. Kulkarni, in the 20% slab (ignore cess), is comparing two options, each offering a pre-tax return of 9% a year with interest fully taxable at slab rate. Option A is a taxable bond paying 9%. Option B is a product yielding a pre-tax 9% but with the tax-free equivalent needing computation. What tax-free yield would be equivalent to Option A's post-tax return?

The equivalent tax-free yield is 7.2%. The taxable bond's 9% return is reduced by 20% tax, leaving 9 x 0.80 = 7.2%, so any tax-free product must pay 7.2% to match it for Mr. Kulkarni.

  1. A7.2%Correct
  2. B1.8%
  3. C10.8%
  4. D8.0%

Explanation

Post-tax return of the taxable bond = 9% x (1 - 0.20) = 7.2%. A tax-free instrument must yield 7.2% to be equivalent. 1.8% is just the tax amount, and 10.8% wrongly grosses up at 9/(1-0.20)... actually 9/0.8 = 11.25, so 10.8% is simply 9 x 1.2 (wrong sign).

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