
Explanation:
The bank is receiving fixed and paying floating, so when rates fall, the swap becomes more valuable to the bank.
At years, the current exposure is the positive market value of the swap:
Using the remaining 2.5 years and the new flat swap rate of 4.1%, the swap value is approximately:
where:
So:
Therefore, the current exposure is approximately $2.12 million.
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Q-177.1. Assume that today (T0), a bank enters into a fairly priced (i.e., initial value equals zero) interest rate swap where the bank receives a fixed rate of 5.0% per annum compounded semi-annually in exchange for paying six-month LIBOR. The notional amount is USD $100 million, and the tenor is three years. When the bank enters the swap, the LIBOR/swap rate curve is flat at 5.0%. Six months later, the LIBOR/swap rate shifts down by 90 basis points. At this time (T + 0.5 years), the current exposure of the bank will be nearest to what?
A
Zero
B
$440,000
C
$2.12 million
D
$102.12 million