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Index arbitrage and nonlinear dynamics between the S&P 500 futures and cash

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Author Info
Gerald P. Dwyer, Jr.
Peter Locke
Wei Yu

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Abstract

We use a cost of carry model with nonzero transactions costs to motivate estimation of a nonlinear dynamic relationship between the S&P 500 futures and cash indexes. Discontinuous arbitrage suggests that a threshold error correction mechanism may characterize many aspects of the relationship between the futures and cash indexes. We use minute-by-minute data on the S&P 500 futures and cash indexes. The results indicate that nonlinear dynamics are important and related to arbitrage and suggest that arbitrage is associated with more rapid convergence of the basis to the cost of carry than would be indicated by a linear model.

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Paper provided by Federal Reserve Bank of Atlanta in its series Working Paper with number 95-17.

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Date of creation: 1995
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Publication status: Published in Review of Financial Studies, Spring 1996
Handle: RePEc:fip:fedawp:95-17

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Keywords: Arbitrage ; Futures ; Stock market;

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References listed on IDEAS
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  1. Brennan, Michael J & Schwartz, Eduardo S, 1990. "Arbitrage in Stock Index Futures," Journal of Business, University of Chicago Press, vol. 63(1), pages S7-31, January. [Downloadable!] (restricted)
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  1. Dick van Dijk & Timo Teräsvirta & Philip Hans Franses, 2002. "Smooth Transition Autoregressive Models - A Survey Of Recent Developments," Econometric Reviews, Taylor and Francis Journals, vol. 21(1), pages 1-47. [Downloadable!] (restricted)
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  2. A.J. Menkveld, 2001. "Splitting orders in fragmented markets - evidence from cross-listed stocks," Econometric Institute Report 227, Erasmus University Rotterdam, Econometric Institute. [Downloadable!]
    Other versions:
  3. Juan A. Lafuente & Manuel Illueca Muñoz, 2003. "The Effect Of Futures Trading Activity On The Distribution Of Spot Market Returns," Working Papers. Serie EC 2003-23, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie). [Downloadable!]
  4. R. M. Eldridge & Maurice Peat & Max Stevenson, 2003. "The Role of Intra-Day and Inter-Day Data Effects in Determining Linear and Nonlinear Granger Causality Between Australian Futures and Cash Index Markets," Working Paper Series 122, School of Finance and Economics, University of Technology, Sydney. [Downloadable!]
  5. Bert Menkveld, 2001. "Splitting Orders in Fragmented Markets," Tinbergen Institute Discussion Papers 01-059/2, Tinbergen Institute. [Downloadable!]
  6. Joseph K.W. Fung & Philip Yu, 2007. "Order Imbalance and the Dynamics of Index and Futures Prices," Working Papers 072007, Hong Kong Institute for Monetary Research. [Downloadable!]
  7. Dijk, Dick van & Franses, Philip Hans, 1997. "Nonlinear error-correction models for interest rates in the Netherlands," Econometric Institute Report 41, Erasmus University Rotterdam, Econometric Institute. [Downloadable!]
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  8. Ying Liu, 2001. "Modelling Mortgage Rate Changes with a Smooth Transition Error-Correction Model," Working Papers 01-23, Bank of Canada. [Downloadable!]
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