
Explanation:
To value the swap from the perspective of the counterparty paying fixed, compute:
With a flat continuously compounded curve at 1.0%:
The fixed rate is 3.0% per annum, semiannual, so each 6-month coupon is:
Thus:
The floating coupon already set 3 months ago at 2.0% implies the next coupon is:
The final floating coupon is based on the current forward rate, which is 1.0%:
So:
So the swap is a liability to the fixed-rate payer.
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Question-175.1. An interest rate swap with a notional of $100 million has a remaining life of nine (9) months. Under the swap, 6-month LIBOR is exchanged for 3.0% per annum (compounded semiannually). Three months ago (t - 0.25 years), the 6-month LIBOR rate was 2.0%. Currently, the swap rate curve is flat at 1.0% for all maturities; e.g., the three- and nine-month LIBOR rates are 1.0% per annum (compounded continuously). What is the current value of the swap to the counterparty who is paying FIXED?
A
a) negative (-) $2.99 million
B
b) negative (-) $1.49 million
C
c) +$2.99 million
D
d) +$1.49 million