PDE and martingale methods in option pricing. Zbl 1214.91002
Pascucci, Andrea |
|
2011
|
On a class of degenerate parabolic equations of Kolmogorov type. Zbl 1085.35086
Di Francesco, Marco; Pascucci, Andrea |
|
2005
|
Linear and nonlinear ultraparabolic equations of Kolmogorov type arising in diffusion theory and in finance. Zbl 1032.35114
Lanconelli, Ermanno; Pascucci, Andrea; Polidoro, Sergio |
|
2002
|
The Moser’s iterative method for a class of ultraparabolic equations. Zbl 1096.35080
Pascucci, Andrea; Polidoro, Sergio |
|
2004
|
Explicit implied volatilities for multifactor local-stochastic volatility models. Zbl 1422.91713
Lorig, Matthew; Pagliarani, Stefano; Pascucci, Andrea |
|
2017
|
Pointwise estimates for a class of non-homogeneous Kolmogorov equations. Zbl 1162.35015
Cinti, Chiara; Pascucci, Andrea; Polidoro, Sergio |
|
2008
|
On the complete model with stochastic volatility by Hobson and Rogers. Zbl 1092.91024
Di Francesco, Marco; Pascucci, Andrea |
|
2004
|
Analytical expansions for parabolic equations. Zbl 1332.35140
Lorig, Matthew; Pagliarani, Stefano; Pascucci, Andrea |
|
2015
|
Approximations for Asian options in local volatility models. Zbl 1260.91100
Foschi, Paolo; Pagliarani, Stefano; Pascucci, Andrea |
|
2013
|
Free boundary and optimal stopping problems for American Asian options. Zbl 1150.91022
Pascucci, Andrea |
|
2008
|
The obstacle problem for a class of hypoelliptic ultraparabolic equations. Zbl 1137.35017
di Francesco, Marco; Pascucci, Andrea; Polidoro, Sergio |
|
2008
|
Analytical approximation of the transition density in a local volatility model. Zbl 1246.91137
Pagliarani, Stefano; Pascucci, Andrea |
|
2012
|
Adjoint expansions in local Lévy models. Zbl 1285.60084
Pagliarani, Stefano; Pascucci, Andrea; Riga, Candia |
|
2013
|
On the regularity of solutions to a nonlinear ultraparabolic equation arising in mathematical finance. Zbl 1013.35046
Citti, Giovanna; Pascucci, Andrea; Polidoro, Sergio |
|
2001
|
Hölder regularity for a Kolmogorov equation. Zbl 1116.35330
Pascucci, Andrea |
|
2003
|
Optimal regularity in the obstacle problem for Kolmogorov operators related to American Asian options. Zbl 1200.35307
Frentz, Marie; Nyström, Kaj; Pascucci, Andrea; Polidoro, Sergio |
|
2010
|
A family of density expansions for Lévy-type processes. Zbl 1329.60122
Lorig, Matthew; Pagliarani, Stefano; Pascucci, Andrea |
|
2015
|
Intrinsic Taylor formula for Kolmogorov-type homogeneous groups. Zbl 1330.22017
Pagliarani, Stefano; Pascucci, Andrea; Pignotti, Michele |
|
2016
|
Regularity properties of viscosity solutions of a non-Hörmander degenerate equation. Zbl 1026.35024
Citti, Giovanna; Pascucci, Andrea; Polidoro, Sergio |
|
2001
|
The exact Taylor formula of the implied volatility. Zbl 1414.91385
Pagliarani, Stefano; Pascucci, Andrea |
|
2017
|
Harnack inequalities and Gaussian estimates for a class of hypoelliptic operators. Zbl 1172.35339
Pascucci, Andrea; Polidoro, Sergio |
|
2006
|
A continuous dependence result for ultraparabolic equations in option pricing. Zbl 1152.35063
Di Francesco, Marco; Pascucci, Andrea |
|
2007
|
A Gaussian upper bound for the fundamental solutions of a class of ultraparabolic equations. Zbl 1026.35056
Pascucci, Andrea; Polidoro, Sergio |
|
2003
|
Semilinear equations on nilpotent Lie groups: global existence and blow-up of solutions. Zbl 1156.35401
Pascucci, Andrea |
|
1998
|
Expansions asymptotiques pour équations paraboliques dégénérées.
(Asymptotic expansions for degenerate parabolic equations.) Zbl 1304.35207
Pagliarani, Stefano; Pascucci, Andrea |
|
2014
|
Efficient computation of various valuation adjustments under local Lévy models. Zbl 1408.91230
Borovykh, Anastasia; Pascucci, Andrea; Oosterlee, Cornelis W. |
|
2018
|
Regularity near the initial state in the obstacle problem for a class of hypoelliptic ultraparabolic operators. Zbl 1205.35345
Nyström, Kaj; Pascucci, Andrea; Polidoro, Sergio |
|
2010
|
Dynamic credit investment in partially observed markets. Zbl 1323.93073
Capponi, Agostino; Figueroa-López, José E.; Pascucci, Andrea |
|
2015
|
On stochastic Langevin and Fokker-Planck equations: the two-dimensional case. Zbl 1480.35415
Pascucci, Andrea; Pesce, Antonello |
|
2022
|
Kolmogorov equations in physics and in finance. Zbl 1085.35089
Pascucci, Andrea |
|
2005
|
On the Harnack inequality for a class of hypoelliptic evolution equations. Zbl 1049.35119
Pascucci, Andrea; Polidoro, Sergio |
|
2004
|
Gaussian lower bounds for non-homogeneous Kolmogorov equations with measurable coefficients. Zbl 1462.35116
Lanconelli, Alberto; Pascucci, Andrea; Polidoro, Sergio |
|
2020
|
Mathematical analysis and numerical methods for pricing pension plans allowing early retirement. Zbl 1285.91147
Calvo-Garrido, M. Carmen; Pascucci, Andrea; Vázquez, Carlos |
|
2013
|
Path dependent volatility. Zbl 1160.35457
Foschi, Paolo; Pascucci, Andrea |
|
2008
|
On the viscosity solutions of a stochastic differential utility problem. Zbl 1508.60062
Antonelli, Fabio; Pascucci, Andrea |
|
2002
|
On the fundamental solution for hypoelliptic second order partial differential equations with non-negative characteristic form. Zbl 0965.35005
Lanconelli, Ermanno; Pascucci, Andrea |
|
1999
|
Local stochastic volatility with jumps: analytical approximations. Zbl 1293.91142
Pagliarani, Stefano; Pascucci, Andrea |
|
2013
|
The parametrix method for parabolic SPDEs. Zbl 1455.60085
Pascucci, Andrea; Pesce, Antonello |
|
2020
|
Obstacle problem for arithmetic Asian options. Zbl 1178.91201
Monti, Laura; Pascucci, Andrea |
|
2009
|
Superparabolic functions related to second order hypoelliptic operators. Zbl 0940.35054
Lanconelli, Ermanno; Pascucci, Andrea |
|
1999
|
Leveraged ETF implied volatilities from ETF dynamics. Zbl 1411.91572
Leung, Tim; Lorig, Matthew; Pascucci, Andrea |
|
2017
|
Nash estimates and upper bounds for non-homogeneous Kolmogorov equations. Zbl 1383.35105
Lanconelli, Alberto; Pascucci, Andrea |
|
2017
|
Analysis of an uncertain volatility model. Zbl 1153.91485
Di Francesco, Marco; Foschi, Paolo; Pascucci, Andrea |
|
2006
|
On the Cauchy problem for a nonlinear Kolmogorov equation. Zbl 1047.35076
Pascucci, Andrea; Polidoro, Sergio |
|
2003
|
Mathematical analysis and numerical methods for a partial differential equations model governing a ratchet cap pricing in the LIBOR market model. Zbl 1222.91061
Pascucci, A.; Suárez-Taboada, M.; Vázquez, C. |
|
2011
|
Intrinsic expansions for averaged diffusion processes. Zbl 1373.60137
Pagliarani, S.; Pascucci, A.; Pignotti, M. |
|
2017
|
Harnack inequality and no-arbitrage bounds for self-financing portfolios. Zbl 1242.91178
Carciola, Alessandro; Pascucci, Andrea; Polidoro, Sergio |
|
2009
|
Local densities for a class of degenerate diffusions. Zbl 1434.60214
Lanconelli, Alberto; Pagliarani, Stefano; Pascucci, Andrea |
|
2020
|
Pricing Bermudan options under local Lévy models with default. Zbl 1377.91155
Borovykh, A.; Pascucci, A.; Oosterlee, C. W. |
|
2017
|
Mathematical analysis and numerical methods for a PDE model of a stock loan pricing problem. Zbl 1281.91177
Pascucci, A.; Suárez-Taboada, M.; Vázquez, C. |
|
2013
|
On the stochastic Magnus expansion and its application to SPDEs. Zbl 1489.60112
Kamm, Kevin; Pagliarani, Stefano; Pascucci, Andrea |
|
2021
|
Financial mathematics. Theory and problems for multi-period models. Translated and extended version of the original Italian edition. Zbl 1247.91001
Pascucci, Andrea; Runggaldier, Wolfgang J. |
|
2012
|
A priori estimates for quasilinear degenerate parabolic equations. Zbl 1195.35173
Manfredini, Maria; Pascucci, Andrea |
|
2003
|
Kolmogorov equations arising in finance: direct and inverse problems. Zbl 1140.35499
Foschi, Paolo; Pascucci, Andrea |
|
2007
|
Calibration of a path-dependent volatility model: empirical tests. Zbl 1453.62091
Foschi, Paolo; Pascucci, Andrea |
|
2009
|
Fujita type results for a class of degenerate parabolic operators. Zbl 0978.35024
Pascucci, Andrea |
|
1999
|
Stochastic calculus for finance.
(Calcolo stocastico per la finanza.) Zbl 1145.91026
Pascucci, Andrea |
|
2008
|
Optimal regularity for degenerate Kolmogorov equations in non-divergence form with rough-in-time coefficients. Zbl 1528.35075
Pagliarani, Stefano; Lucertini, Giacomo; Pascucci, Andrea |
|
2023
|
CDS calibration under an extended JDCEV model. Zbl 1499.91170
Di Francesco, Marco; Diop, Sidy; Pascucci, Andrea |
|
2019
|
Asymptotics for \(d\)-dimensional Lévy-type processes. Zbl 1418.91525
Lorig, Matthew; Pagliarani, Stefano; Pascucci, Andrea |
|
2015
|
Pricing approximations and error estimates for local Lévy-type models with default. Zbl 1443.91298
Lorig, Matthew; Pagliarani, Stefano; Pascucci, Andrea |
|
2015
|
Sobolev embeddings for kinetic Fokker-Planck equations. Zbl 1533.35337
Pascucci, Andrea; Pesce, Antonello |
|
2024
|
PDE models for the pricing of a defaultable coupon-bearing bond under an extended JDCEV model. Zbl 1479.91392
Carmen Calvo-Garrido, M.; Diop, Sidi; Pascucci, Andrea; Vázquez, Carlos |
|
2021
|
Financial mathematics. Theory and problems for multi-periodic models.
(Finanza matematica. Teoria e problemi per modelli multiperiodali.) Zbl 1194.91004
Pascucci, Andrea; Runggaldier, Wolfgang J. |
|
2009
|
Backward and forward filtering under the weak Hörmander condition. Zbl 1517.60044
Pascucci, Andrea; Pesce, Antonello |
|
2023
|
Numerical solution of kinetic SPDEs via stochastic Magnus expansion. Zbl 1540.65019
Kamm, Kevin; Pagliarani, Stefano; Pascucci, Andrea |
|
2023
|
Sobolev embeddings for kinetic Fokker-Planck equations. Zbl 1533.35337
Pascucci, Andrea; Pesce, Antonello |
|
2024
|
Optimal regularity for degenerate Kolmogorov equations in non-divergence form with rough-in-time coefficients. Zbl 1528.35075
Pagliarani, Stefano; Lucertini, Giacomo; Pascucci, Andrea |
|
2023
|
Backward and forward filtering under the weak Hörmander condition. Zbl 1517.60044
Pascucci, Andrea; Pesce, Antonello |
|
2023
|
Numerical solution of kinetic SPDEs via stochastic Magnus expansion. Zbl 1540.65019
Kamm, Kevin; Pagliarani, Stefano; Pascucci, Andrea |
|
2023
|
On stochastic Langevin and Fokker-Planck equations: the two-dimensional case. Zbl 1480.35415
Pascucci, Andrea; Pesce, Antonello |
|
2022
|
On the stochastic Magnus expansion and its application to SPDEs. Zbl 1489.60112
Kamm, Kevin; Pagliarani, Stefano; Pascucci, Andrea |
|
2021
|
PDE models for the pricing of a defaultable coupon-bearing bond under an extended JDCEV model. Zbl 1479.91392
Carmen Calvo-Garrido, M.; Diop, Sidi; Pascucci, Andrea; Vázquez, Carlos |
|
2021
|
Gaussian lower bounds for non-homogeneous Kolmogorov equations with measurable coefficients. Zbl 1462.35116
Lanconelli, Alberto; Pascucci, Andrea; Polidoro, Sergio |
|
2020
|
The parametrix method for parabolic SPDEs. Zbl 1455.60085
Pascucci, Andrea; Pesce, Antonello |
|
2020
|
Local densities for a class of degenerate diffusions. Zbl 1434.60214
Lanconelli, Alberto; Pagliarani, Stefano; Pascucci, Andrea |
|
2020
|
CDS calibration under an extended JDCEV model. Zbl 1499.91170
Di Francesco, Marco; Diop, Sidy; Pascucci, Andrea |
|
2019
|
Efficient computation of various valuation adjustments under local Lévy models. Zbl 1408.91230
Borovykh, Anastasia; Pascucci, Andrea; Oosterlee, Cornelis W. |
|
2018
|
Explicit implied volatilities for multifactor local-stochastic volatility models. Zbl 1422.91713
Lorig, Matthew; Pagliarani, Stefano; Pascucci, Andrea |
|
2017
|
The exact Taylor formula of the implied volatility. Zbl 1414.91385
Pagliarani, Stefano; Pascucci, Andrea |
|
2017
|
Leveraged ETF implied volatilities from ETF dynamics. Zbl 1411.91572
Leung, Tim; Lorig, Matthew; Pascucci, Andrea |
|
2017
|
Nash estimates and upper bounds for non-homogeneous Kolmogorov equations. Zbl 1383.35105
Lanconelli, Alberto; Pascucci, Andrea |
|
2017
|
Intrinsic expansions for averaged diffusion processes. Zbl 1373.60137
Pagliarani, S.; Pascucci, A.; Pignotti, M. |
|
2017
|
Pricing Bermudan options under local Lévy models with default. Zbl 1377.91155
Borovykh, A.; Pascucci, A.; Oosterlee, C. W. |
|
2017
|
Intrinsic Taylor formula for Kolmogorov-type homogeneous groups. Zbl 1330.22017
Pagliarani, Stefano; Pascucci, Andrea; Pignotti, Michele |
|
2016
|
Analytical expansions for parabolic equations. Zbl 1332.35140
Lorig, Matthew; Pagliarani, Stefano; Pascucci, Andrea |
|
2015
|
A family of density expansions for Lévy-type processes. Zbl 1329.60122
Lorig, Matthew; Pagliarani, Stefano; Pascucci, Andrea |
|
2015
|
Dynamic credit investment in partially observed markets. Zbl 1323.93073
Capponi, Agostino; Figueroa-López, José E.; Pascucci, Andrea |
|
2015
|
Asymptotics for \(d\)-dimensional Lévy-type processes. Zbl 1418.91525
Lorig, Matthew; Pagliarani, Stefano; Pascucci, Andrea |
|
2015
|
Pricing approximations and error estimates for local Lévy-type models with default. Zbl 1443.91298
Lorig, Matthew; Pagliarani, Stefano; Pascucci, Andrea |
|
2015
|
Expansions asymptotiques pour équations paraboliques dégénérées.
(Asymptotic expansions for degenerate parabolic equations.) Zbl 1304.35207
Pagliarani, Stefano; Pascucci, Andrea |
|
2014
|
Approximations for Asian options in local volatility models. Zbl 1260.91100
Foschi, Paolo; Pagliarani, Stefano; Pascucci, Andrea |
|
2013
|
Adjoint expansions in local Lévy models. Zbl 1285.60084
Pagliarani, Stefano; Pascucci, Andrea; Riga, Candia |
|
2013
|
Mathematical analysis and numerical methods for pricing pension plans allowing early retirement. Zbl 1285.91147
Calvo-Garrido, M. Carmen; Pascucci, Andrea; Vázquez, Carlos |
|
2013
|
Local stochastic volatility with jumps: analytical approximations. Zbl 1293.91142
Pagliarani, Stefano; Pascucci, Andrea |
|
2013
|
Mathematical analysis and numerical methods for a PDE model of a stock loan pricing problem. Zbl 1281.91177
Pascucci, A.; Suárez-Taboada, M.; Vázquez, C. |
|
2013
|
Analytical approximation of the transition density in a local volatility model. Zbl 1246.91137
Pagliarani, Stefano; Pascucci, Andrea |
|
2012
|
Financial mathematics. Theory and problems for multi-period models. Translated and extended version of the original Italian edition. Zbl 1247.91001
Pascucci, Andrea; Runggaldier, Wolfgang J. |
|
2012
|
PDE and martingale methods in option pricing. Zbl 1214.91002
Pascucci, Andrea |
|
2011
|
Mathematical analysis and numerical methods for a partial differential equations model governing a ratchet cap pricing in the LIBOR market model. Zbl 1222.91061
Pascucci, A.; Suárez-Taboada, M.; Vázquez, C. |
|
2011
|
Optimal regularity in the obstacle problem for Kolmogorov operators related to American Asian options. Zbl 1200.35307
Frentz, Marie; Nyström, Kaj; Pascucci, Andrea; Polidoro, Sergio |
|
2010
|
Regularity near the initial state in the obstacle problem for a class of hypoelliptic ultraparabolic operators. Zbl 1205.35345
Nyström, Kaj; Pascucci, Andrea; Polidoro, Sergio |
|
2010
|
Obstacle problem for arithmetic Asian options. Zbl 1178.91201
Monti, Laura; Pascucci, Andrea |
|
2009
|
Harnack inequality and no-arbitrage bounds for self-financing portfolios. Zbl 1242.91178
Carciola, Alessandro; Pascucci, Andrea; Polidoro, Sergio |
|
2009
|
Calibration of a path-dependent volatility model: empirical tests. Zbl 1453.62091
Foschi, Paolo; Pascucci, Andrea |
|
2009
|
Financial mathematics. Theory and problems for multi-periodic models.
(Finanza matematica. Teoria e problemi per modelli multiperiodali.) Zbl 1194.91004
Pascucci, Andrea; Runggaldier, Wolfgang J. |
|
2009
|
Pointwise estimates for a class of non-homogeneous Kolmogorov equations. Zbl 1162.35015
Cinti, Chiara; Pascucci, Andrea; Polidoro, Sergio |
|
2008
|
Free boundary and optimal stopping problems for American Asian options. Zbl 1150.91022
Pascucci, Andrea |
|
2008
|
The obstacle problem for a class of hypoelliptic ultraparabolic equations. Zbl 1137.35017
di Francesco, Marco; Pascucci, Andrea; Polidoro, Sergio |
|
2008
|
Path dependent volatility. Zbl 1160.35457
Foschi, Paolo; Pascucci, Andrea |
|
2008
|
Stochastic calculus for finance.
(Calcolo stocastico per la finanza.) Zbl 1145.91026
Pascucci, Andrea |
|
2008
|
A continuous dependence result for ultraparabolic equations in option pricing. Zbl 1152.35063
Di Francesco, Marco; Pascucci, Andrea |
|
2007
|
Kolmogorov equations arising in finance: direct and inverse problems. Zbl 1140.35499
Foschi, Paolo; Pascucci, Andrea |
|
2007
|
Harnack inequalities and Gaussian estimates for a class of hypoelliptic operators. Zbl 1172.35339
Pascucci, Andrea; Polidoro, Sergio |
|
2006
|
Analysis of an uncertain volatility model. Zbl 1153.91485
Di Francesco, Marco; Foschi, Paolo; Pascucci, Andrea |
|
2006
|
On a class of degenerate parabolic equations of Kolmogorov type. Zbl 1085.35086
Di Francesco, Marco; Pascucci, Andrea |
|
2005
|
Kolmogorov equations in physics and in finance. Zbl 1085.35089
Pascucci, Andrea |
|
2005
|
The Moser’s iterative method for a class of ultraparabolic equations. Zbl 1096.35080
Pascucci, Andrea; Polidoro, Sergio |
|
2004
|
On the complete model with stochastic volatility by Hobson and Rogers. Zbl 1092.91024
Di Francesco, Marco; Pascucci, Andrea |
|
2004
|
On the Harnack inequality for a class of hypoelliptic evolution equations. Zbl 1049.35119
Pascucci, Andrea; Polidoro, Sergio |
|
2004
|
Hölder regularity for a Kolmogorov equation. Zbl 1116.35330
Pascucci, Andrea |
|
2003
|
A Gaussian upper bound for the fundamental solutions of a class of ultraparabolic equations. Zbl 1026.35056
Pascucci, Andrea; Polidoro, Sergio |
|
2003
|
On the Cauchy problem for a nonlinear Kolmogorov equation. Zbl 1047.35076
Pascucci, Andrea; Polidoro, Sergio |
|
2003
|
A priori estimates for quasilinear degenerate parabolic equations. Zbl 1195.35173
Manfredini, Maria; Pascucci, Andrea |
|
2003
|
Linear and nonlinear ultraparabolic equations of Kolmogorov type arising in diffusion theory and in finance. Zbl 1032.35114
Lanconelli, Ermanno; Pascucci, Andrea; Polidoro, Sergio |
|
2002
|
On the viscosity solutions of a stochastic differential utility problem. Zbl 1508.60062
Antonelli, Fabio; Pascucci, Andrea |
|
2002
|
On the regularity of solutions to a nonlinear ultraparabolic equation arising in mathematical finance. Zbl 1013.35046
Citti, Giovanna; Pascucci, Andrea; Polidoro, Sergio |
|
2001
|
Regularity properties of viscosity solutions of a non-Hörmander degenerate equation. Zbl 1026.35024
Citti, Giovanna; Pascucci, Andrea; Polidoro, Sergio |
|
2001
|
On the fundamental solution for hypoelliptic second order partial differential equations with non-negative characteristic form. Zbl 0965.35005
Lanconelli, Ermanno; Pascucci, Andrea |
|
1999
|
Superparabolic functions related to second order hypoelliptic operators. Zbl 0940.35054
Lanconelli, Ermanno; Pascucci, Andrea |
|
1999
|
Fujita type results for a class of degenerate parabolic operators. Zbl 0978.35024
Pascucci, Andrea |
|
1999
|
Semilinear equations on nilpotent Lie groups: global existence and blow-up of solutions. Zbl 1156.35401
Pascucci, Andrea |
|
1998
|