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A generalized Girsanov transformation of finite state stochastic processes in discrete time

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  • Cohen, Samuel N.
  • Ji, Shaolin
  • Yang, Shuzhen

Abstract

Cohen and Elliott (2010) introduced the backward stochastic difference equations (BSDEs) on spaces related to discrete time, finite state processes. Motivated by obtaining the explicit solution of a linear BSDE under their framework, we develop a new type of Girsanov transformation in this paper.

Suggested Citation

  • Cohen, Samuel N. & Ji, Shaolin & Yang, Shuzhen, 2014. "A generalized Girsanov transformation of finite state stochastic processes in discrete time," Statistics & Probability Letters, Elsevier, vol. 84(C), pages 33-39.
    • Handle: RePEc:eee:stapro:v:84:y:2014:i:c:p:33-39
    DOI: 10.1016/j.spl.2013.09.025
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    References listed on IDEAS

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    1. Cohen, Samuel N. & Elliott, Robert J., 2010. "A general theory of finite state Backward Stochastic Difference Equations," Stochastic Processes and their Applications, Elsevier, vol. 120(4), pages 442-466, April.
    2. Zengjing Chen & Larry Epstein, 2002. "Ambiguity, Risk, and Asset Returns in Continuous Time," Econometrica, Econometric Society, vol. 70(4), pages 1403-1443, July.
    3. Bouchard, Bruno & Touzi, Nizar, 2004. "Discrete-time approximation and Monte-Carlo simulation of backward stochastic differential equations," Stochastic Processes and their Applications, Elsevier, vol. 111(2), pages 175-206, June.
    4. N. El Karoui & S. Peng & M. C. Quenez, 1997. "Backward Stochastic Differential Equations in Finance," Mathematical Finance, Wiley Blackwell, vol. 7(1), pages 1-71, January.
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