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Research Papers

Making mean-variance hedging implementable in a partially observable market

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Pages 1709-1724 | Received 09 Jul 2013, Accepted 14 Nov 2013, Published online: 20 Mar 2014

References

  • Bain , A . 2008 . and Crisan , Fundamentals of Stochastic Filtering : D .
  • Fujii , M . 2013 . Momentum-space approach to asymptotic expansion for stochastic filtering . Ann. Inst. Stat. Math. , doi: 10.1007/s10463-013-0405-1
  • Fujii, M. and Takahashi, A., Analytical approximation for non-linear FBSDEs with perturbation scheme. Int. J. Theor. Appl. Finance, 2012a, 15(5), 1250034 (24).
  • Fujii, M. and Takahashi, A., Perturbative expansion technique for non-linear FBSDEs with interacting particle method. CARF Working Paper series, CARF-F-278, 2012b. Available online at SSRN:http://ssrn.com/abstract=1999137
  • Fujii, M. and Takahashi, A., Making mean-variance hedging implementable in a partially observable market - With supplementary contents for stochastic interest rates, 2013. Available online at SSRN: http://ssrn.com/abstract=2279398 or at arXiv:1306.3359
  • Fujii, M., Sato, S. and Takahashi, A., An FBSDE approach to American option pricing with an interacting particle method. CARF Working paper series, CARF-F-302, 2012. Available online at SSRN: http://ssrn.com/abstract=2180696
  • Jacobson , DH . 1970 . New conditions for boundedness of the solution of a matrix Riccati differential equation . J. Differ. Equ. , 8 : 258 – 263 .
  • Jeanblanc , M , Mania , M , Santacroce , M and Schweizer , M . 2012 . Mean-variance hedging via stochastic control and BSDEs for general semimartingales . Ann. Appl. Probab. , 22 ( 6 ) : 2388 – 2428 .
  • Kalman , RE . 1960 . Contributions on the theory of optimal control . Bol. Soc. Mat. Mexicana , 5 : 102 – 119 .
  • Kobylanski , M . 2000 . Backward stochastic differential equations and partial differential equations with quadratic growth . Ann. Probab. , 28 : 558 – 602 .
  • Kohlmann , M and Tang , S . 2002 . Global adapted solution of one-dimensional backward stochastic Riccati equations, with application to the mean-variance hedging . Stoch. Proc. Appl. , 97 : 255 – 288 .
  • Kunita, H., Stochastic Flows and Stochastic Differential Equations, Vol. 24, Cambridge studies in advanced mathematics, 1990 (Cambridge University Press: Cambridge).
  • Kunitomo , N and Takahashi , A . 2003 . On validity of the asymptotic expansion approach in contingent claim analysis . Ann. Appl. Probab. , 13 ( 3 ) : 914 – 952 .
  • Laurent , JP and Pham , H . 1999 . Dynamic programming and mean-variance hedging . Finance Stoch. , 3 : 83 – 110 .
  • Mania , M and Tevzadze , R . 2003 . Backward stochastic PDE and imperfect hedging . Int. J. Theor. Appl. Finance , 6 ( 7 ) : 663 – 692 .
  • Mania , M and Tevzadze , R . 2008 . Backward stochastic PDEs related to the utility maximization and hedging . J. Math. Sci. , 153 ( 3 ) : 291 – 380 .
  • Mania , M , Tevzadze , R and Toronjadze , T . 2008 . Mean-variance hedging under partial information . SIAM J. Control Optim. , 47 ( 5 ) : 2381 – 2409 .
  • Mania , M and Santacroce , M . 2010 . Exponential utility maximization under partial information . Finance Stoch. , 14 : 419 – 448 .
  • McKean, H.P., Application of Brownian motion to the equation of Kolmogorov-Petrovskii-Piskunov. Commun. Pure Appl. Math. 1975, XXVIII, 323–331.
  • Pham , H . 2001 . Mean-variance hedging for partially observed drift processes . Int. J. Theor. Appl. Finance , 4 ( 2 ) : 263 – 284 .
  • Pham, H. and Quenez, M.C., Optimal portfolio in partially observed stochastic volatility models. Ann. Appl. Probab., 2001, 11(1), 210–238.
  • Schroder , M and Skiadas , C . 1999 . Optimal consumption and portfolio selection with stochastic differential utility . J. Econ. Theory , 89 : 68 – 126 .
  • Takahashi , A . 1999 . An asymptotic expansion approach to pricing contingent claims . Asia-Pacific Financ. Markets , 6 : 115 – 151 .
  • Takahashi, A., Takehara, K. and Toda, M., A general computation scheme for a high-order asymptotic expansion method. Int. J. Theor. Appl. Finance, 2012, 15(6), 1250044 (25).

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