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FRM Part I · FRM Exam Part I · Foreign Exchange Markets

Spot EUR/USD is 1.2000 USD per EUR and the one-year forward is 1.2240. The one-year USD rate is 4.00% (annual compounding). Under covered interest rate parity, what is the implied one-year EUR interest rate?

The implied EUR rate is 1.96%. The forward-to-spot ratio is 1.2240/1.2000 = 1.02, and parity says this equals 1.04 divided by one plus the EUR rate. So one plus the EUR rate is 1.04/1.02 = 1.0196, giving 1.96%.

  1. A2.00%
  2. B1.96%Correct
  3. C6.08%
  4. D3.92%

Explanation

F/S = 1.2240/1.2000 = 1.02 = (1.04)/(1 + r_EUR). So 1 + r_EUR = 1.04/1.02 = 1.019608, r_EUR = 1.96%. The 2.00% option subtracts the 2% premium from 4% linearly, which is only an approximation. The 6.08% option adds the premium and the USD rate.

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