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Hedging with Liquidity Risk under CEV Diffusion

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We study a discrete time hedging and pricing problem in a market with the liquidity risk. We consider a discrete version of the constant elasticity of variance (CEV) model by… Click to show full abstract

We study a discrete time hedging and pricing problem in a market with the liquidity risk. We consider a discrete version of the constant elasticity of variance (CEV) model by applying Leland’s discrete time replication scheme. The pricing equation becomes a nonlinear partial differential equation, and we solve it by a multi scale perturbation method. A numerical example is provided.

Keywords: hedging liquidity; liquidity risk; risk cev; liquidity

Journal Title: Risks
Year Published: 2020

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