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diffusion processes and by a Markov chain. Based on the semimartingale characterization of Markov chains we apply the Hamilton …
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Abstract: Financial markets have experienced a precipitous increase in complexity over the past decades, posing a significant challenge from a risk management point of view. This complexity motivates the application and development of sophisticated models based on the theory of stochastic...
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The thesis considers an investor's problem of optimal consumption and portfolio choice in a financial market. The model used for the financial market is the semimartingales model. The thesis shows that an optimal solution to this problem exists, even if the investor is contrained in the...
Persistent link: https://www.econbiz.de/10002742689
space H. In this setting we show the equivalence of market completeness and the uniqueness of the equivalent martingale … reference measure to a unique, locally equivalent, martingale measure. If X has continuous paths, the absence of general … asymptotic arbitrage is equivalent to the existence of an equivalent local martingale measure. Furthermore, we give a sufficient …
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