References
- Abundo , M. 2000 . On first-passage time for one-dimensional jump-diffusion processes . Prob. Math. Statist , 20 : 399 – 423 .
- Alili , L. and Kyprianou , A. E. 2005 . Some remarks on first passage of Lévy processes, the American put and pasting principles . Ann. Appl. Probab , 15 : 2062 – 2080 .
- Bensoussan , A. Variational inequalities and optimal stopping time problems . University of Wisconsin-Madison . Proceedings of a Symposium, Mathematics Research Center , pp. 219 – 244 .
- Chan , T. 1999 . Pricing contingent claims on stocks driven by Lévy processes . Ann. Appl. Probab , 9 : 504 – 528 .
- Darling , D. A. , Ligget , T. and Taylor , H. M. 1972 . Optimal stopping for partial sums . Ann. Math. Statist , 43 : 1363 – 1368 .
- Fajardo , J. and Mordecki , E. 2006 . Pricing derivatives on twodimensional Lévy processes . Int. J. Theoretical and Appl. Finance , 9 ( 2 ) : 185 – 197 .
- Gerber , H. U. and Shiu , E. S. 1996 . Martingale approach to pricing perpetual American options on two stocks . Math. Finance , 6 ( 3 ) : 303 – 322 .
- Goran , P. 2007 . Principle of smooth fit and diffusions with angles . Stochastics , 79 : 293 – 302 .
- Gut , A. 1996 . Stopped Lévy processes with applications to first passage times . Statist. Probab. Lett , 28 : 345 – 352 .
- Hu , Y. and Øksendal , B. 1998 . Optimal time to invest when price processes are geometric Brownian motions . Finance and Stochastics , 2 : 295 – 310 .
- Jacka , S. D. 1991 . Optimal stopping and the American put . Math. Finance , 1 : 1 – 14 .
- Jacod , J. and Shiryaev , A. N. 1987 . Limit Theoreoms for Stochastic Processes , Berlin : Springer .
- McDonald , R. and Siegel , D. 1986 . The value of waiting to invest . Quart. J. Econ , 101 : 707 – 727 .
- Mordecki , E. 1999 . Optimal stopping for a diffusion with jumps . Finance and Stochastics , 3 : 227 – 236 .
- Mordecki , E. 2002 . Optimal stopping and perpetual options for Lévy processes . Finance and Stochastics , 6 : 473 – 493 .
- Mordecki , E. and Salminen , P. 2007 . Optimal stopping of Hunt and Lévy processes . Stochastics , 79 : 233 – 251 .
- Ohnishi , M. 2003 . An optimal stopping problem for a geometric Brownian motion with Poissonian jumps . Math. and Computer Model , 38 : 1381 – 1390 .
- Øksendal , B. and Sulem , A. 2005 . Applied Stochastic Control of Jump Diffusions , Springer Verlag .
- Olsen , T. E. and Stcnsland , G. 1992 . On optimal timing of investment when cost components are additive and follow geometric diffusions . J.Econ. Dynamics Control , 16 : 39 – 51 .
- Protter , P. 1992 . Stochastic Integrals and Differential Equations , Berlin : Springer .
- Salminen , P. 1985 . Optimal stopping of one-dimensional diffusions . Math. Nachr , 124 : 85 – 101 .
- Shiryaev , A. 1978 . Optimal Stopping Rules , Berlin : Springer .
- Van Moerbeke , P. 1976 . On optimal stopping and free boundary problems . Arch. Ration. Mech. Anal , 60 : 101 – 148 .