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CFA Level I · CFA Level I Exam · Types of Financial Returns

An analyst compares a nominal return of 6.0% with inflation of 2.5% and a tax rate of 20% applied to the nominal return. Using the convention that taxes are paid on the nominal return, the after-tax real return is closest to:

The after-tax real return is about 2.3%. Tax is first applied to the 6.0% nominal return, leaving 4.8%, and this is then deflated by 2.5% inflation: 1.048 divided by 1.025 minus one is roughly 2.24%. The 3.4% figure is the real return before tax.

  1. A1.8%
  2. B2.3%Correct
  3. C3.4%

Explanation

After-tax nominal return = 6.0% × (1 − 0.20) = 4.8%. Real = 1.048 / 1.025 − 1 = 2.24%, which is closest to 2.3%. Taxing the real return instead (3.41% × 0.8 = 2.7%) is not the stated convention, and 3.4% is the pre-tax real return.

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