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of stochastic volatility (Heston model) has been introduced in our publications “Complete Analytical Solution of the … model for Stochastic Volatility (SV). Our discovery of the probability density function of the European style Asian Options … constant volatility.All numerical evaluations based on our analytical results are practically instantaneous and absolutely …
Persistent link: https://www.econbiz.de/10013022328
volatility and its curve resembles a smile, meaning that the introduction of jumps is quantified via a smile according to implied … volatility. In order to derive such an implied volatility smile, an iterative search procedure referred to as the Newton …-Raphson algorithm is proposed. Numerical experiments of both the in-house pricing formula and its implied volatility recursive algorithm …
Persistent link: https://www.econbiz.de/10013118115
://ssrn.com/abstract=2546430). • In this paper we report similar unique results for pricing options in the presence of stochastic volatility … Model. • Our discovery of the probability density function for options with stochastic volatility enables exact closed … the density function for options with stochastic volatility within the Heston model is expressive enough to enable …
Persistent link: https://www.econbiz.de/10013030477
• It is not widely emphasized in the literature that derivatives are complex random quantities which should, by custom, be characterized by their probability density functions. • It is understood that Black-Scholes style of derivatives pricing represents an expected value, i.e. the...
Persistent link: https://www.econbiz.de/10013032725
is an open question if warrant issuers purely adopt options market information about future volatility or if they … contribute to volatility discovery by their own. As a result, the options market is in a clear informational leadership with an … information share highly significant above 0.5. Nevertheless, the aggregated warrants market also contributes to volatility …
Persistent link: https://www.econbiz.de/10012853678
We estimate a general microstructure model of the transitory and permanent impact of order flow on stock prices. Jumps are detected in both the transaction price (observation equation) and fundamental value (state equation). The model's parameters and variances are updated in real time. Prices...
Persistent link: https://www.econbiz.de/10010256970
volatility (Heston model), enabling complete analytical resolution of all problems associated with American Style Options … volatility (Heston model) is expressive enough to enable derivation for the first time ever of corollary closed-form analytical … constant or stochastic volatility, will be below or above any set of thresholds at termination. Such assessments are absolutely …
Persistent link: https://www.econbiz.de/10013029750
models and therefore allows to consistently construct models including general jump structures, a stochastic volatility and … including jumps, a stochastic volatility and the leverage effect tend to be over-parameterized leading to unstable prices of …
Persistent link: https://www.econbiz.de/10013138281
We consider the pricing of FX, inflation and stock options under stochastic interest rates and stochastic volatility … the volatility, the inflation index, the domestic (nominal) and the foreign (real) rates. Having the flexibility to … correlate the underlying FX/Inflation/Stock index with both stochastic volatility and stochastic interest rates yields a …
Persistent link: https://www.econbiz.de/10013138528