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CFA Level I · CFA Level I Exam · Fixed-Income Markets for Corporate Issuers

A corporation sells 90-day commercial paper with a face value of $10,000,000 at a discount rate of 4.00% using a 360-day year. The proceeds raised are closest to:

The discount is $10,000,000 × 4% × 90/360, which equals $100,000. Proceeds are face value less the discount, so the issuer raises about $9,900,000. Deducting a full year of discount would wrongly give $9,600,000.

  1. A$9,600,000
  2. B$9,900,000Correct
  3. C$9,960,000

Explanation

Discount = 10,000,000 × 0.04 × 90/360 = 100,000. Proceeds = 10,000,000 − 100,000 = 9,900,000. The $9,600,000 figure ignores the 90/360 time fraction and deducts a full year of discount. The $9,960,000 figure is not reached by any consistent calculation.

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