Negative Swap Spreads and Limited Arbitrage

2019 ◽  
Vol 33 (1) ◽  
pp. 212-238 ◽  
Author(s):  
Urban J Jermann

Abstract Since October 2008, fixed rates for interest rate swaps with a 30-year maturity have been mostly below Treasury rates with the same maturity. Under standard assumptions, this implies the existence of arbitrage opportunities. This paper presents a model for pricing interest rate swaps, where frictions for holding bonds limit arbitrage. I analytically show that negative swap spreads should not be surprising. In the calibrated model, swap spreads can reasonably match empirical counterparts without the need for large demand imbalances in the swap market. Empirical evidence is consistent with the relation between term spreads and swap spreads in the model. Received April 16, 2017; editorial decision Januray 3, 2019 by Editor Stijn Van Nieuwerburgh.

2013 ◽  
Vol 218 ◽  
pp. 78-93
Author(s):  
NGUYEN KHAC QUOC BAO ◽  
NGUYEN HUU HUY NHUT

Author(s):  
Michael W. Faulkender ◽  
Nicole Thorne Jenkins ◽  
Chandra Seethamraju

2005 ◽  
Vol 08 (04) ◽  
pp. 687-705 ◽  
Author(s):  
D. K. Malhotra ◽  
Vivek Bhargava ◽  
Mukesh Chaudhry

Using data from the Treasury versus London Interbank Offer Swap Rates (LIBOR) for October 1987 to June 1998, this paper examines the determinants of swap spreads in the Treasury-LIBOR interest rate swap market. This study hypothesizes Treasury-LIBOR swap spreads as a function of the Treasury rate of comparable maturity, the slope of the yield curve, the volatility of short-term interest rates, a proxy for default risk, and liquidity in the swap market. The study finds that, in the long-run, swap spreads are negatively related to the yield curve slope and liquidity in the swap market. We also find that swap spreads are positively related to the short-term interest rate volatility. In the short-run, swap market's response to higher default risk seems to be higher spread between the bid and offer rates.


Mathematics ◽  
2021 ◽  
Vol 9 (2) ◽  
pp. 112
Author(s):  
Dariusz Gatarek ◽  
Juliusz Jabłecki

Bermudan swaptions are options on interest rate swaps which can be exercised on one or more dates before the final maturity of the swap. Because the exercise boundary between the continuation area and stopping area is inherently complex and multi-dimensional for interest rate products, there is an inherent “tug of war” between the pursuit of calibration and pricing precision, tractability, and implementation efficiency. After reviewing the main ideas and implementation techniques underlying both single- and multi-factor models, we offer our own approach based on dimension reduction via Markovian projection. Specifically, on the theoretical side, we provide a reinterpretation and extension of the classic result due to Gyöngy which covers non-probabilistic, discounted, distributions relevant in option pricing. Thus, we show that for purposes of swaption pricing, a potentially complex and multidimensional process for the underlying swap rate can be collapsed to a one-dimensional one. The empirical contribution of the paper consists in demonstrating that even though we only match the marginal distributions of the two processes, Bermudan swaptions prices calculated using such an approach appear well-behaved and closely aligned to counterparts from more sophisticated models.


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