Counterparty Risk and CVA › Exposure Profiles by Product Type

Different derivative products exhibit characteristic exposure profiles that reflect their cash flow structures. Understanding these patterns helps in CVA calculation and risk management. By examining how exposure evolves for different product types, we can develop intuition for which trades consume more counterparty credit and how to structure portfolios to manage this risk effectively.

Interest rate swaps have a distinctive exposure profile that initially rises, peaks around one-third to one-half of the swap's life, then declines toward maturity. This "hump-shaped" profile arises because two opposing forces are at work:

1. Early in the swap's life, there's substantial time for rates to move, creating potential exposure
2. As the swap ages, fewer cash flows remain, reducing the maximum possible exposure
3. Near maturity, the remaining value approaches zero regardless of rate movements

The expected exposure for a receiver swap (receive fixed, pay floating) can be approximated by considering the distribution of forward rates and their impact on the swap's present value. In the early years, rates have not had much time to deviate from their initial values, so exposure is modest. As time progresses, the cumulative effect of rate movements can create significant exposure. Eventually, however, the decreasing number of remaining payments dominates, and exposure declines as the swap approaches maturity.

Option exposure is more straightforward for the buyer: the maximum loss is the premium paid, which occurs if the counterparty defaults before exercise. This creates a simple, front-loaded exposure profile that declines as the option approaches expiration and the remaining time value erodes. For the seller, exposure depends on the option's current intrinsic and time value, which can be substantial for deep in-the-money options. Sold options create contingent exposure that can spike dramatically if the option moves into the money, making counterparty risk particularly important for option sellers dealing with less creditworthy counterparties.

Cross-currency swaps typically show increasing exposure profiles because they involve the exchange of notional amounts at maturity. Unlike interest rate swaps, the notional exchange creates significant exposure near the end of the contract's life, particularly if exchange rates have moved substantially. This back-loaded exposure profile presents distinct risk management challenges. The counterparty relationship must remain healthy for many years before the largest exposures materialize, and the potential for exchange rate moves over long horizons can create very large potential future exposures.

Forwards show linearly increasing exposure profiles on average, as the potential deviation between the forward price and the spot price tends to grow with time due to random walk behavior. A forward contract locks in a price for future delivery, and as time passes, the spot price can drift further from the locked-in forward price. This drift occurs in both directions with equal probability under risk-neutral pricing, but the exposure metric captures only the positive deviations, creating a steadily increasing expected exposure profile.