The rapid growth of the swap market has given rise to increasing concern about credit risk
in these markets and the possibility of a default by a major swap trader. Actually, although
credit risk in the swap market certainly is not trivial, it is not nearly as large as the magni-
C H A P T E R
2 3
Futures, Swaps, and Risk Management
821
At the time the transaction is initiated, it has zero net present value to both parties for the
same reason that a futures contract has zero value at inception: Both are simply contracts
to exchange cash in the future at terms established today that make both parties willing to
enter into the deal. Even if one party were to back out of the deal at this moment, it would
not cost the counterparty anything, because another trader could be found to take its place.
Once interest or exchange rates change, however, the situation is not as simple. Sup-
pose, for example, that interest rates increase shortly after an interest-rate swap agree-
ment has begun. The floating-rate payer therefore suffers a loss, while the fixed-rate payer
enjoys a gain. If the floating-rate payer reneges on its commitment at this point, the fixed-
rate payer suffers a loss. However, that loss is not as large as the notional principal of
the swap, for the default of the floating-rate payer relieves the fixed-rate payer from its
obligation as well. The loss is only the difference between the values of the fixed-rate and
floating-rate obligations, not the total value of the payments that the floating-rate payer
was obligated to make.
Consider a swap written on $1 million of notional principal that calls for exchange
of LIBOR for a fixed rate of 8% for 5 years. Suppose,
for simplicity, that the yield
curve is currently flat at 8%. With LIBOR thus equal to 8%, no cash flows will be
exchanged unless interest rates change. But now suppose that the yield curve imme-
diately shifts up to 9%. The floating-rate payer now is obligated to pay a cash flow
of (.09 2 .08) 3 $1 million 5 $10,000 each year to the fixed-rate payer (as long as
rates remain at 9%). If the floating-rate payer defaults on the swap, the fixed-rate
payer loses the prospect of that 5-year annuity. The present value of that annuity is
$10,000 3 Annuity factor(9%, 5 years) 5 $38,897. This loss may not be trivial, but it
is less than 4% of notional principal. We conclude that the credit risk of the swap is far
less than notional principal.
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