Pricing of American Contingent Claims with Jump Stock Price and Constrained Portfolios
Published Online:1 Feb 1998https://doi.org/10.1287/moor.23.1.177
References
- Viscosity solutions of nonlinear integro-differential equations. Ann. Inst. H. Poincaré. Anal. Non Linéaire (1996) 13 293 317 Crossref, Google Scholar
- Synthetic replication of American contingent claims when portfolios are constrained. Stochastic Process. Appl. (1995) 57 149 165 Crossref, Google Scholar
- BSDE's and integral-partial differential equations. Stochastics Stochastics Rep. (1997) 60 57 83 Crossref, Google Scholar
- Hedging contingent claims with Wiener-Poisson driven stock price (1995) . Preprint Google Scholar
- Hedging contingent claims with constrained portfolios. Ann. Appl. Probab. (1993) 3 652 681 Crossref, Google Scholar
- Infinite-Dimensional Optimization and Convexity (1983) (The University of Chicago Press, Chicago and London) Google Scholar
- Reflected solution of backward SDE's and related obstacle problems for PDE's. Ann. Probab. (1995) . to appear Google Scholar
- Backward stochastic differential equations in finance. Math. Finance (1997) 7 1 71 Crossref, Google Scholar
- Dynamic programming and pricing of contingent claims in an incomplete market. SIAM J. Control Optim. (1995) 33 29 66 Crossref, Google Scholar
- On the optional decomposition theorem and the Lagrange multipliers. Finance and Stochastics (1995) . to appear Google Scholar
- , Davis M. H. A. , Elliot R. J. Hedging of contingent claims under incomplete information. Applied Stochastic Analysis, Stochastic Monographs (1991) 5 (Gordon and Breach, New York) 389 414 Google Scholar
- Stochastic differential equations of jump type and Lévy processes in diffeomorphism group. J. Math. Kyoto Univ. (1989) 25 71 106 Crossref, Google Scholar
- Stochastic Differential Equations and Diffusion Processes (1989) 2nd ed. (Amsterdam/Kodansha LTD, North-Holland, Tokyo) Google Scholar
- On the pricing of American options. Appl. Math. Optim. (1988) 17 37 60 Crossref, Google Scholar
- Adapted solution of a backward stochastic differential equation. Systems Control Lett. (1990) 14 55 61 Crossref, Google Scholar
- Equations d'Hamilton-Jacobi du premier ordre avec termes intégro-différentiels: Partie I: Unicité des solutions de viscosité; Partie II: Existence des solutions de viscosité. Comm. Partial Differential Equations (1991) 16 1057 1093 Crossref, Google Scholar
- , Fleming W. H. , Lions P. L. Optimal control of jump-Markov processes and viscosity solutions. Stochastic Differential Systems, Stochastic Control Theory and Applications, IMA Math. Appl. (1988) 10 (Springer, Berlin) 501 511 Crossref, Google Scholar

