Here we review some of the terminology used in the swaps market and explain how swaps are quoted. The date that the counterparties commit to the swap is called the trade date. The date that the swap begins accruing interest is called the effective date, and the date that the swap stops accruing interest is called the maturity date.
Although our illustrations assume that the timing of the cash flows for both the fixed-rate payer and floating-rate payer will be the same, this is rarely the case in a swap. In fact, an agreement may call for the fixed-rate payer to make payments annually but the floating-rate payer to make payments more frequently (semiannually or quarterly). Also, the way in which interest accrues on each leg of the transaction differs, because there are several day-count conventions in the fixed-income markets. Read the rest of this entry »
There are two ways that a swap position can be interpreted: (1) as a package of forward/ futures contracts, and (2) as a package of cash flows from buying and selling cash market instruments.
Package of Forward Contracts Consider the hypothetical interest-rate swap described earlier to illustrate a swap. Let’s look at party X’s position. Party X has agreed to pay 10% and receive six-month LIBOR. More specifically, assuming a $50 million notional principal amount, X has agreed to buy a commodity called six-month LIBOR for $2.5 million This is effectively a six-month forward contract in which X agrees to pay $2.5 million in exchange for delivery of six-month LIBOR. If interest rates increase to 11%, the price of that commodity (six-month LIBOR) is higher, resulting in a gain for the fixed-rate payer, who is effectively long a six-month forward contract on six-month LIBOR. The floating-rate payer is effectively short a six- month forward contract on six-month LIBOR. There is therefore an implicit forward contract corresponding to each exchange date. Read the rest of this entry »
Once the swap transaction is completed, changes in market interest rates will change the payments of the floating-rate side of the swap. The value of an interest rate swap is the difference between the present value of the payments of the two sides of the swap. The three-month LIBOR forward rates from the current Eurodollar CD futures contracts are used to (1) calculate the floating-rate payments and (2) determine the discount factors at which to calculate the present value of the payments.
To illustrate this, consider the three-year swap used to demonstrate how to calculate the swap rate. Suppose that one year later, interest rates change as shown in Columns (4) and (6) in Exhibit 25-9. Column (4) shows the current three-month LIBOR. In Column (5) are the Eurodollar CD futures prices for each period. These rates are used to compute the forward rates in Column (6). Note that the interest rates have increased one year later since the rates in Exhibit 25-9 . Read the rest of this entry »
