# The determinants of a cross market arbitrage opportunity: theory and evidence for the European bond market

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## Abstract

This paper examines the determinants of cross-platform arbitrage profits. We develop a structural model that enables us to decompose the likelihood of an arbitrage opportunity into three distinct factors: the fixed cost to trade the opportunity, the level at which one of the platforms delays a price update and the impact of the order flow on the quoted prices (inventory and asymmetric information effects). We then investigate the predictions from the theoretical model for the European Bond market with the estimation of a probit model. Our main finding is that the results found in the empirical part corroborate strongly the predictions from the structural model. The event of a cross market arbitrage opportunity has a certain degree of predictability where an optimal ex ante scenario is represented by a low level of spreads on both platforms, a time of the day close to the end of trading hours and a high volume of trade.

## Keywords

Arbitrage opportunities Negative spreads Market microstructure Market efficiency## JEL Classification

G15 G17## References

- Abreu, D., Brunnermeier, M.: Synchronization risk and delayed arbitrage. J Financ Econ
**66**, 341–360 (2002)CrossRefGoogle Scholar - Akram, F., Rime, D., Sarno, L.: Arbitrage in the foreign exchange market: turning on the microscope. J Int Econ
**76**, 237–253 (2008)Google Scholar - Bradford De Long, J., Shleifer, A., Summers, L., Waldmann, R.: Noise trader risk in financial markets. J Polit Econ
**98**, 703–738 (1990)CrossRefGoogle Scholar - Cheung, Y., Jong, F., Rindi, B.: Trading European Sovereign Bonds: The microstructure of the MTS Trading Platform. European Central Bank, Working Paper, 432 (2005)Google Scholar
- Cummings, J., Frino, A.: Index arbitrage and the pricing relationship between Australian stock index futures and their underlying shares. Acc Financ
**51**(3), 661–683 (2011)CrossRefGoogle Scholar - Frenkel, J., Levich, R.: Covered interest rate arbitrage: unexploited profits? J Polit Econ
**83**(2), 325–338 (1975)CrossRefGoogle Scholar - Gagnon, L., Karolyi, A.: Multi-market trading and arbitrage. J Financ Econ
**97**(1), 53–80 (2010)CrossRefGoogle Scholar - Harris, L.: Trading and Exchanges: Market Microstructure for Practitioners. New York: Oxford University Press (2003)Google Scholar
- Hasbrouck, J.: Empirical Market Microstructure: The Institutions, Economics and Econometrics of Securities Trading. New York: Oxford University Press (2007)Google Scholar
- Hasbrouck, J.: Modeling Market Microstructure Time Series. NYU Working Paper FIN 95–024 (1996)Google Scholar
- Henker, T., Martens, M.: Index-Futures Arbitrage Before and After the Introduction of Sixteenths on the NYSE. Bond University, Working Paper (2001)Google Scholar
- Hull, J.: Options, Futures and Other Derivatives. Upper Saddle River: Pearson Education (2002)Google Scholar
- Juhl, T., Miles, W., Weidenmier, M.: Covered interest arbitrage: then versus Now. Economica
**73**, 341–352 (2006)CrossRefGoogle Scholar - Kozhan, R., Tham, W.: Arbitrage Opportunities: A Blessing or a Curse? Working Paper, Warwick Business School (2009)Google Scholar
- Lowenstein, R.: When Genius Failed: The Rise and Fall of Long-Term Capital Management. New York: Random House (2002)Google Scholar
- Mackinlay, A., Ramaswany, K.: Index-future arbitrage and the behavior of stock index futures. Rev Financ Stud
**1**, 137–158 (1988)CrossRefGoogle Scholar - Maddala, G.S.: Limited-Dependent and Qualitative Variables in Econometrics. New York: Cambridge University Press (1991)Google Scholar
- Malkiel, B.: The Efficient Market Hypothesis and Its Critics. CEPS Working Paper, 91 (2003)Google Scholar
- Martellini, L., Priaulet, P., Priaulet, S.: Fixed-income securities, risk management and portfolio strategies. New York: Wiley (2003)Google Scholar
- MTS G: Euro Sovereign Guide. MTS Group. http://www.mtsgroup.org/newcontent/eurozone/euro_sovereign_guide_2007.pdf (2007). Accessed 06 May 2010
- Roll, R., Schwartz, E., Subrahmanyam, A.: Liquidity and the law of one price: the case of the futures-cash basis. J Financ
**62**, 2201–2234 (2007)CrossRefGoogle Scholar - Shleifer, A., Vishny, R.: The limits of arbitrage. J Financ
**52**, 35–55 (1997)CrossRefGoogle Scholar