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Differential equations and asymptotic solutions for arithmetic Asian options: ‘Black–Scholes formulae’ for Asian rate calls
Published 2008“… <p style="text-align:justify;"> In this article, we present a simplified means of pricing Asian options using partial differential equations (PDEs). …”
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Differential equations and asymptotic solutions for arithmetic Asian options: 'Black-Scholes formulae' for Asian rate calls
Published 2008“…In this article, we present a simplified means of pricing Asian options using partial differential equations (PDEs). …”
Journal article -
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A model-free approach to continuous-time finance
Published 2023“…We show that the superhedging cost is characterized as the solution of a path-dependent equation. For the Asian option, we obtain an explicit solution.…”
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History dependence in stock price evolution
Published 1996“…Also mentioned is an Asian option type payoff used by traders to trade the cross-overs of two different (time scale) moving averages.…”
Thesis -
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Multilevel Monte Carlo for exponential Lévy models
Published 2017“…We also provide analysis of a trapezoidal approximation for Asian options. Our method is illustrated by numerical experiments.…”
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Pathwise superreplication via Vovk’s outer measure
Published 2017“…Our result covers a broad range of exotic derivatives, including lookback options, discretely monitored Asian options, and options on realized variance.…”
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The computation of Greeks with multilevel Monte Carlo
Published 2014“…</p> <p>We develop multilevel Monte Carlo estimators for the Greeks of a range of options: European options with Lipschitz payoffs (e.g. call options), European options with discontinuous payoffs (e.g. digital options), Asian options, barrier options and lookback options. …”
Thesis