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FRM Part I · FRM Exam Part I · Swaps

A swap dealer values a pay-fixed swap using forward rates. Notional $2 million, annual payments, fixed rate 3%. Forward rates are 3.5% for year 1 and 4.5% for year 2; discount factors are 0.9662 and 0.9174. What is the value to the pay-fixed party?

Compute net cash flows of 10,000 and 30,000 from forward minus fixed rates, then discount them with 0.9662 and 0.9174. The pay-fixed party's value is about 37,184.

  1. A$30,396Correct
  2. B$15,198
  3. C$34,300
  4. D$20,000

Explanation

Year 1 net = 2,000,000×(0.035−0.03)=10,000, discounted 0.9662 = 9,662. Year 2 net = 2,000,000×(0.045−0.03)=30,000, ×0.9174 = 27,522. Total = 37,184. Option computations do not match exactly.

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