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In a complete financial market every contingent claim can be hedged perfectly. In an incomplete market it is possible to stay on the safe side by superhedging. But such strategies may require a large amount of initial capital. Here we study the question what an investor can do who is unwilling...
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We establish a relation between stochastic volatility models and the class of generalized hyperbolic distributions. These distributions have been found to fit exceptionally well to the empirical distribution of stock returns. We review the background of hyperbolic distributions and prove...
Persistent link: https://www.econbiz.de/10009577459
filtering theory ; enlargement of filtration ; canonical decomposition ; Sturm-Liouville equation ; Volterra kernels …
Persistent link: https://www.econbiz.de/10009578007
Stochastic Volatility (SV) models are widely used in financial applications. To decide whether standard parametric restrictions are justified for a given dataset, a statistical test is required. In this paper, we develop such a test based on the linear state space representation. We provide a...
Persistent link: https://www.econbiz.de/10009578026
Let X be a continuous adapted process for which there exists an equivalent local martingale measure (ELMM). The minimal martingale measure P is the unique ELMM for X with the property that local P-martingales strongly orthogonal to the P-martingale part of X are also local P-martingales. We...
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stability theory developed for Markov chains. Stationarity, existence of second moments of the stationary distribution, and …
Persistent link: https://www.econbiz.de/10009616775
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