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Study of the group properties of the Sircar-Papanicolaou model in case of a nonlinear utility functionPetrova, Liudmila, Ivkina, Liubov January 2009 (has links)
<p>In this paper it is considered the Sircar-Papanicolaou model wich takesinto account a feedback effect of dynamic hedging strategies of pro-gramme traders. Using the Lie group analysis we describe the symmetrygroup of the main equation of the concerned model. We reduce this par-tial differential equation to the ordinary differential equations by usingcorresponding invariants of the subgroups of the main symmetry group.</p>
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Study of the group properties of the Sircar-Papanicolaou model in case of a nonlinear utility functionPetrova, Liudmila, Ivkina, Liubov January 2009 (has links)
In this paper it is considered the Sircar-Papanicolaou model wich takesinto account a feedback effect of dynamic hedging strategies of pro-gramme traders. Using the Lie group analysis we describe the symmetrygroup of the main equation of the concerned model. We reduce this par-tial differential equation to the ordinary differential equations by usingcorresponding invariants of the subgroups of the main symmetry group.
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