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Linear-quadratic jump-diffusion modeling

Cheng, Peng
Published in Mathematical finance. 2007, vol. 17, no. 4, p. 575-598
Abstract We aim at accommodating the existing affine jump-diffusion and quadratic models under the same roof, namely the linear-quadratic jump-diffusion (LQJD) class. We give a complete character- ization of the dynamics of this class by stating explicitly the structural constraints, as well as the admissibility conditions. This allows us to carry out a specification analysis for the 3-factor LQJD models. We compute the standard transform of the state vector relevant to asset pricing up to a system of ordinary differential equations. We show that the LQJD class can be embedded into the affine class through use of an augmented state vector. This establishes a one-to-one equivalence relationship between both classes in terms of transform analysis.
Keywords Linear-quadratic modelsAffine modelsJump-diffusionsGeneralized Fourier trans- formOption pricing
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Research group Geneva Finance Research Institute (GFRI)
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CHENG, Peng, SCAILLET, Olivier. Linear-quadratic jump-diffusion modeling. In: Mathematical finance, 2007, vol. 17, n° 4, p. 575-598. doi: 10.1111/j.1467-9965.2007.00316.x https://archive-ouverte.unige.ch/unige:79886

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Deposited on : 2016-01-22

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