Instantaneous Mean-Variance Hedging and Sharpe Ratio Pricing in a Regime-Switching Financial Model
| Autor: | Lukasz Delong, Antoon Pelsser |
|---|---|
| Přispěvatelé: | QE Math. Economics & Game Theory, Finance, RS: GSBE EFME |
| Jazyk: | angličtina |
| Rok vydání: | 2015 |
| Předmět: |
Statistics and Probability
Actuarial science Counting process Applied Mathematics Sharpe ratio Financial market Mathematics::Optimization and Control Backward stochastic differential equations Model ambiguity Instantaneous mean-variance risk Modeling and Simulation Value (economics) Trajectory Econometrics Financial modeling No-good-deal pricing Asset (economics) Brownian motion Mathematics Instantaneous Sharpe ratio |
| Zdroj: | Stochastic Models, 31(1), 67-97. Routledge/Taylor & Francis Group |
| ISSN: | 1532-6349 |
| Popis: | □ We study hedging and pricing of claims in a non-Markovian regime-switching financial model. Our financial market consists of a bank account and a risky asset whose dynamics are driven by a Brownian motion and a multivariate counting process with stochastic intensities. The counting process is used to model the switching behavior for the states of the economy. We assume that the trajectory of the risky asset is continuous between the transition times for the states of the economy and that the value of the risky asset jumps at the time of the transition. We find the hedging strategy that minimizes the instantaneous mean-variance risk of the hedger’s surplus, and we set the price so that the instantaneous Sharpe ratio of the hedger’s surplus equals a predefined target. We discuss key properties of our optimal price and optimal hedging strategy. |
| Databáze: | OpenAIRE |
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