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FRM Part II · FRM Exam Part II · Repurchase Agreements and Financing

A hedge fund borrows cash through a 30-day repo. It sells bonds with a market value of USD 102 million and receives USD 100 million of cash. The repo rate is 3.6% per year on an actual/360 basis. What is the repurchase price payable at maturity?

The repurchase price is USD 100.30 million. Interest accrues on the cash borrowed of USD 100 million at 3.6% for 30/360 of a year, which is USD 0.30 million. The collateral value of USD 102 million does not enter the interest calculation.

  1. AUSD 100.30 millionCorrect
  2. BUSD 100.36 million
  3. CUSD 102.30 million
  4. DUSD 103.67 million

Explanation

Interest equals 100 million × 3.6% × 30/360 = 0.30 million, so the repurchase price is 100.30 million. Interest is charged on the cash lent, not on the collateral value, so 102.30 is wrong. Applying the rate for a full year gives 103.6, which is also wrong.

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