**Stochastic Control for Jump Diffusions** \*

Jingtao Shi

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[13] M.H.A. Davis and A.R. Norman. Portfolio selection with transaction costs. *Mathematics*

[14] M.H.A. Davis, V.G. Panas, and T. Zariphopoulou. European option pricing with transaction costs. *SIAM Journal on Control and Optimization*, 31:470–493, 1993. [15] S.D. Hodges and A. Neuberger. Optimal replication of contingent claims under

[16] T.L. Lai, T.W. Lim, and K. Ross. A new approach to solving multi-dimensional singular stochastic control problems with applications to investment theories and queueing

[17] T.L. Lai, Y.-C. Yao, and F. AitSahlia. Corrected random wall approximations to free boundary problems in optimal stopping. *Advances in Applied Probability*, 39:753–775,

[18] T.L. Lai and T.W. Lim. Option hedging theory under transaction costs. *Journal of*

[19] T.L. Lai, T.W. Lim, and W. Zhou. Backward induction algorithms for singular stochastic control problems associated with transaction costs. Working paper, Stanford University,

[20] V.I. Zakamouline. European option pricing and hedging with both fixed and proportional transaction costs. *Journal of Economic Dynamics and Control*, 30:1–25, 2006. [21] X. Guo and P. Tomecek. Connections between singular control and optimal switching.

*of Operations Research*, 15:676–713, 1990.

2007.

2012.

transaction costs. *Review of Futures Markets*, 8:222–239, 1989.

networks. Working paper, Stanford University, 2012.

*Economic Dynamics and Control*, 33:1945–1961, 2009.

*SIAM Journal on Control and Optimization*, 47:421–443, 2008.

Additional information is available at the end of the chapter

http://dx.doi.org/10.5772/45719
