The difference between the swap rate and the yield on the government bond with a similar maturity

The swap spread is the difference between the swap rate (the rate of the fixed leg of a swap) and the yield on the government bond with a similar maturity. Since government bonds (e.g., US Treasury securities) are considered risk-free securities, swap spreads typically reflect the risk levels perceived by the parties involved in a swap agreement. Swaps are frequently quoted as the swap spread (another option is the swap rate). ### Swap Spread and Market Risk

The swap spreads of interest rate swaps are considered typical indicators of market risk and a measure of the risk aversion prevalent in the market. Swap spreads are commonly used by economists in assessing current market conditions.

Large positive swap spreads generally indicate that a greater number of market participants are willing to swap their risk exposures. As the number of counterparties willing to hedge their risk exposures increase, the larger the amounts of money that parties are keen to spend to enter swap agreements. Such a trend generally reveals strong risk aversion among the market participants, which can be caused by a high level of systematic risk in the market.

Additionally, large spreads may signify reduced liquidity in the market. This is generally caused by the greater portion of capital employed in the swap deals.

### Example

ABC Corp. enters into an interest rate swap agreement with XYZ Corp. It is a 3-year interest rate swap in which ABC Corp. (the payer) must pay a 3% fixed interest rate, while XYZ Corp. (the receiver) must pay the floating interest rate that equals 1-year LIBOR. The current 3-year yield on the default-free government bond is 1.5%.

In order to calculate the spread of the swap, we need to determine its swap rate. According to the definition, the swap rate is the fixed rate of the swap. Thus, the swap rate of the swap contract between ABC Corp. and XYZ Corp. is 3%, which represents the swap’s fixed rate.

Therefore, the swap spread, which is the difference between the swap rate and the yield on a government bond with a similar maturity, is calculated using the following formula: 