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CA Final · Advanced Financial Management · Interest Rate Risk Management

Current market rates: 6-month rate is 6% p.a. and 9-month rate is 6.8% p.a. (simple interest, annualised). A bank quotes a 6x9 FRA at the implied forward rate. Which rate is closest to the implied forward rate for the 3-month period starting after 6 months (annualised, simple interest)?

The implied forward rate is about 8.2%. Dividing the 9-month growth factor 1.051 by the 6-month growth factor 1.03 gives 1.0204, a 2.04% return for three months, which annualises to roughly 8.16%.

  1. A7.6%Correct
  2. B6.8%
  3. C8.2%
  4. D7.8%

Explanation

Growth to 9 months = 1 + 0.068 x 0.75 = 1.051. Growth to 6 months = 1 + 0.06 x 0.5 = 1.03. Ratio = 1.051/1.03 = 1.020388, so 3-month rate = 2.0388%, annualised = 8.155%. This is closest to 8.2%, so the keyed answer must be 8.2%.

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