Search Results for author: Eckhard Platen

Found 5 papers, 0 papers with code

Exploiting arbitrage requires short selling

no code implementations25 Nov 2020 Eckhard Platen, Stefan Tappe

We show that in a financial market given by semimartingales an arbitrage opportunity, provided it exists, can only be exploited through short selling.

Robust Product Markovian Quantization

no code implementations29 Jun 2020 Ralph Rudd, Thomas A. McWalter, Joerg Kienitz, Eckhard Platen

Recursive marginal quantization (RMQ) allows the construction of optimal discrete grids for approximating solutions to stochastic differential equations in d-dimensions.

Quantization

No arbitrage and multiplicative special semimartingales

no code implementations12 May 2020 Eckhard Platen, Stefan Tappe

Consider a financial market with nonnegative semimartingales which does not need to have a num\'{e}raire.

Fair Pricing of Variable Annuities with Guarantees under the Benchmark Approach

no code implementations4 Jun 2019 Jin Sun, Kevin Fergusson, Eckhard Platen, Pavel V. Shevchenko

We consider two pricing approaches, the classical risk-neutral approach and the benchmark approach, and we examine the associated static and optimal behaviors of both the investor and insurer.

On the existence of sure profits via flash strategies

no code implementations10 Aug 2017 Claudio Fontana, Markus Pelger, Eckhard Platen

We introduce and study the notion of sure profit via flash strategy, consisting of a high-frequency limit of buy-and-hold trading strategies.

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