FRM Part II · FRM Exam Part II · Credit Risk
A risk analyst compares the expected exposure (EE) profile over time of a 10-year uncollateralized, at-the-money interest rate swap with that of a 10-year zero-coupon bond held as an asset. Which statement best describes the swap's profile?
The swap's expected exposure is hump-shaped. Early on, growing uncertainty in rates increases potential value, but later the shrinking number of remaining payments (amortization) outweighs this, so exposure falls toward zero at maturity, unlike a zero-coupon bond whose exposure rises to par.
- AIt rises initially as uncertainty grows, then declines as the remaining payments shrink toward maturity, giving a hump shape.Correct
- BIt is constant over the life of the swap equal to the notional.
- CIt rises steadily and reaches its maximum on the final day.
- DIt is zero throughout because the swap has zero initial value.
Explanation
For a swap, the diffusion effect widens the range of possible values over time, increasing exposure, while the amortization effect reduces the remaining cash flows to be exchanged. Together they produce a hump. A bond's exposure instead rises toward par at maturity, which is the distractor about a steadily rising profile.
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