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  • For financial institutions, foreign exchange (FX) rates commonly constitute the most important part of the market risk. In order to assess the risk of opened position various models can be used. However, since real FX returns exhibit higher than normal kurtosis and since the very far tails of the distribution should also be measured, the Monte Carlo simulation of multidimensional Lévy processes seems to be the most efficient approach. In this paper we show how a simplifying multidimensional Lévy model can provide a substantial improvement over a more standard approach of the (geometric) Brownian motion, when VaR (AVaR) is calculated and the backtesting procedure is regarded to be the most important criterion. The improvement is apparent mainly for a rather small and homogenous portfolio with requirement for a high degree of confidence of risk covering.
  • For financial institutions, foreign exchange (FX) rates commonly constitute the most important part of the market risk. In order to assess the risk of opened position various models can be used. However, since real FX returns exhibit higher than normal kurtosis and since the very far tails of the distribution should also be measured, the Monte Carlo simulation of multidimensional Lévy processes seems to be the most efficient approach. In this paper we show how a simplifying multidimensional Lévy model can provide a substantial improvement over a more standard approach of the (geometric) Brownian motion, when VaR (AVaR) is calculated and the backtesting procedure is regarded to be the most important criterion. The improvement is apparent mainly for a rather small and homogenous portfolio with requirement for a high degree of confidence of risk covering. (en)
  • Měnové riziko představuje pro finanční instituce pravděpodobně to nejvýznamnější ze všech tržních rizik. Za účelem kvatifikace rizika otevřených pozic lze využít celou řadu modelů. Měly by však být respektovány reálná fakta, jako je potřeba měřit i riziko relativně extrémních vývojů, zešikmené pravděpodobností rozdělení a vyšší významnost krajních scénáů oproti Gaussově předpokladu. V tomto článku je ukázán relativně jednoduchý způsob na bázi jedinečného subordinátoru dílčích Lévyho procesů, kterým lze poměrně dobře vystihnout riziko portfolia. Pro zhodnocení výsledků je využito techniky backtestingu. (cs)
Title
  • Some possibilities of risk measuring for a small and rather homogenous currency portfolio
  • Some possibilities of risk measuring for a small and rather homogenous currency portfolio (en)
  • Několik možností měření rizika malého a spíše homogeního měnového portfolia (cs)
skos:prefLabel
  • Some possibilities of risk measuring for a small and rather homogenous currency portfolio
  • Some possibilities of risk measuring for a small and rather homogenous currency portfolio (en)
  • Několik možností měření rizika malého a spíše homogeního měnového portfolia (cs)
skos:notation
  • RIV/61989100:27510/08:00018606!RIV09-GA0-27510___
http://linked.open...avai/riv/aktivita
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  • P(GA402/08/1237)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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  • 395914
http://linked.open...ai/riv/idVysledku
  • RIV/61989100:27510/08:00018606
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  • FX rate portfolio; multidimensional Lévy models; variance gamma model; normal inverse gaussian model; VaR; AVaR; backtesting. (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [C0EB683272DD]
http://linked.open...i/riv/mistoVydani
  • Ostrava
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  • Řízení a modelování finančních rizik
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
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  • Tichý, Tomáš
number of pages
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  • Vysoká škola báňská - Technická univerzita Ostrava. Ekonomická fakulta
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  • 978-80-248-1846-7
http://localhost/t...ganizacniJednotka
  • 27510
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