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  • In this paper we show, that the volatility can be treated not only as a crisp number or described by its probability distribution but also formulated as an interval value. It is supposed that it can be of any value within its extremes (with given possibility) so that it can be specified as a fuzzy number. Subsequently, we run a fuzzy simulation to get the expected value and combine it with geometric Brownian motion to produce Fuzzy Monte Carlo simulation. Hence, we suppose the Black and Scholes world with unknown volatility. Finally, we can get not only the extremes of option prices, but also its fuzzy expected value, depending on the problem specification.
  • In this paper we show, that the volatility can be treated not only as a crisp number or described by its probability distribution but also formulated as an interval value. It is supposed that it can be of any value within its extremes (with given possibility) so that it can be specified as a fuzzy number. Subsequently, we run a fuzzy simulation to get the expected value and combine it with geometric Brownian motion to produce Fuzzy Monte Carlo simulation. Hence, we suppose the Black and Scholes world with unknown volatility. Finally, we can get not only the extremes of option prices, but also its fuzzy expected value, depending on the problem specification. (en)
  • Elektřinu lze považovat za speciální druh komodity. Odlišuje se od ostatních finančních aktiv obtížnou přenositelností, ať už v čase či místě. To vše působí na vyvoj ceny a projevuje se přítomností skoků, špičatosti a šikmosti. V zásadě je možné rozlišit několik skupin modelů využitelných za účelem modelování vývoje spotové ceny elektřiny - modely s difúzní složkou, skokové modely, modely s tendencí návratu k dlouhodobé rovnováze a jejich kombinace. V tomto čánku je vyjádřen alternativní model popisu vývoje spotové ceny elektřiny na bázi variance gama modelu s mean-reversion tendencí jak v lineární tak exponenciální podobě. (cs)
Title
  • Modeling the skewness and kurtosis of the electricity spot price structure
  • Modeling the skewness and kurtosis of the electricity spot price structure (en)
  • Modelování spotové ceny elektřiny (cs)
skos:prefLabel
  • Modeling the skewness and kurtosis of the electricity spot price structure
  • Modeling the skewness and kurtosis of the electricity spot price structure (en)
  • Modelování spotové ceny elektřiny (cs)
skos:notation
  • RIV/61989100:27510/06:00013409!RIV07-MSM-27510___
http://linked.open.../vavai/riv/strany
  • 392-401
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MSM6198910007)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 486189
http://linked.open...ai/riv/idVysledku
  • RIV/61989100:27510/06:00013409
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Electricity spot price; weekday market; stochastic processes; diffusion; jumps; mean-reversion; jump-diffusion; Lévy models; Variance gamma (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [73B3E4E5E30D]
http://linked.open...i/riv/mistoVydani
  • Ostrava
http://linked.open...i/riv/nazevZdroje
  • Řízení a modelování finančních rizik - Managing and Modelling of Financial Risks
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Tichý, Tomáš
http://linked.open...n/vavai/riv/zamer
number of pages
http://purl.org/ne...btex#hasPublisher
  • Vysoká škola báňská - Technická univerzita Ostrava. Ekonomická fakulta
https://schema.org/isbn
  • 80-248-1159-6
http://localhost/t...ganizacniJednotka
  • 27510
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