https://orcid.org/0000-0002-5234-3094
References
- H. Allouba, A differentiation theory for Itô's calculus, Stoch. Anal. Appl. 24 (2006), pp. 367–380. doi: 10.1080/07362990500522411
- H. Allouba and R. Fontes, Applications of the quadratic covariation differentiation theory: Variants of the Clark-Ocone and Stroock's formulas, Stoch. Anal. Appl. 29 (2011), pp. 1111–1135. doi: 10.1080/07362994.2011.610177
- J. Cvitanic and F. Zapatero, Introduction to the Economics and Mathematics of Financial Markets, MIT Press, Cambridge, MA, 2004.
- U.G. Haussmann, Functionals of Itô processes as stochastic integrals, SIAM J. Control Optim. 16 (1978), pp. 252–269. doi: 10.1137/0316016
- I. Karatzas and S.E. Shreve, Brownian Motion and Stochastic Calculus, 2nd ed., Springer, New York, 1991.
- T.S. Kim and E. Omberg, Dynamic nonmyopic behavior, Rev. Financ. Stud. 9 (1996), pp. 141–161. doi: 10.1093/rfs/9.1.141
- D. Nualart, The Malliavin Calculus and Related Topics, 2nd ed., Springer-Verlag, New York, 2006.
- D. Ocone, Malliavin's calculus and stochastic integral representations of functionals of diffusion processes, Stochastics 12 (1984), pp. 161–185. doi: 10.1080/17442508408833299
- D. Ocone and I. Karatzas, A generalized Clark representation formula, with applications to optimal portfolios, Stoch. Stoch. Rep. 34 (1991), pp. 187–220. doi: 10.1080/17442509108833682
- Y.Y. Okur, White noise generalization of the Clark-Ocone formula under change of measure, Stoch. Anal. Appl. 28 (2010), pp. 1106–1121. doi: 10.1080/07362994.2010.515498
- P. Protter, Stochastic Integration and Differential Equations, 2nd ed., Springer-Verlag, New York, 2003.
- J.A. Wachter, Portfolio and consumption decisions under mean-reverting returns: An exact solution for complete markets, J. Financ. Quant. Anal. 34 (2002), pp. 63–91. doi: 10.2307/3594995