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FRM Part II · FRM Exam Part II · Managing Nondeposit Liabilities

A dealer sells USD 50 million of Treasury securities under a 7-day repurchase agreement at a repo rate of 3.60% (actual/360). What is the approximate repurchase price the dealer must pay at maturity?

The dealer repays USD 50,035,000. Interest is principal times rate times days over 360, which is 50 million × 3.60% × 7/360 = USD 35,000, added to the USD 50 million cash received at the start of the repo.

  1. AUSD 50,035,000Correct
  2. BUSD 50,350,000
  3. CUSD 50,000,000
  4. DUSD 50,180,000

Explanation

Interest = 50,000,000 × 0.036 × 7/360 = 35,000. Repurchase price = 50,035,000. Using 360/7 incorrectly or a 1-year rate (350,000 error) would give the wrong values, and option 50,180,000 uses 36 days.

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