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Brownian motion has become one of the fundamental building blocks of modern quantitative finance. The mathematical theory of Brownian motion has been applied in contexts ranging far beyond the movement of particles in fluids. Until recently, stock market researchers have confronted the same...
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log-returns and their volatility with the aim of analysing which risk factors and which distribution features provide a …-returns and volatility offer the best trade-off between model performance and parsimony …
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Since their introduction, quanto options have steadily gained popularity. Matching Black-Scholes-type pricing models and, more recently, a fat-tailed, normal tempered stable variant have been established. The objective here is to empirically assess the adequacy of quanto-option pricing models....
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important problem. As most financial markets exhibit randomly varying volatility, in this paper we introduce an approximation of … American option price under stochastic volatility models. We achieve this by using the maturity randomization method known as … Canadization. The volatility process is characterized by fast and slow scale fluctuating factors. In particular, we study the case …
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We provide explicit, simple price formulas for the Europeanoptions under stochastic volatility and stochastic interest …
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