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- W170057466 abstract "A vital issue in financial mathematics is the choice of an appropriate model for the financial market. It is well-known that the famous Black-Scholes model does not perform well in reality. The aim of this thesis is to extend the Black-Scholes model in order to improve its empirical performance. Our motivation originates from credit risk and option pricing. We start with credit risk and in particular with the valuation of risky debt. The approach initiated by Merton [57] will be adapted to the extended model. We will see that the obtained credit spreads are consistent with historical data. Further, several calibration methodologies for estimating the model parameters will be discussed. Due to the fact that calibration is feasible, we are able to use the model for practical purposes such as the calculation of probabilities of default. As a test example, the model will be applied to a real firm that has been in financial distress recently. In the second part of this thesis we will focus on option pricing. The volatility smiles produced by the model for short as well as for long maturities are adequate. Moreover, we will propose two different ways of option pricing: an analytical way and by means of the FFT algorithm. The last technique has the advantage that it can be extended to price more complex options, e.g., exotic options." @default.
- W170057466 created "2016-06-24" @default.
- W170057466 creator A5036559367 @default.
- W170057466 date "2012-09-28" @default.
- W170057466 modified "2023-09-26" @default.
- W170057466 title "A Regime Switching Jump-Diffusion Model and its Application to Credit Risk and Option Pricing" @default.
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- W170057466 hasPublicationYear "2012" @default.
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