"Local risk-minimization under partially observed Markov-modulated Expo" by Romuald Momeya
 

Local risk-minimization under partially observed Markov-modulated Exponential Levy model

Authors

Romuald Momeya

Document Type

Lecture

Publication Date

10-17-2024

Abstract

The option hedging problem for a Markov-modulated exponential Lévy model is examined. This incomplete market model is based on a Markov additive process for which the Markov component plays a prominent role. In general, the full information about this component is not available to the investor in the market. Thus, we study optimal hedging strategies for European derivatives based on a model with partial or incomplete information. We employ the local risk-minimization approach to develop optimal hedging strategies under full information. Then, we project the hedging strategies on the observed information to obtain hedging strategies under partial information.

Relational Format

presentation

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