Liquidity costs: a new numerical methodology and an empirical study
Christophe Michel,
Victor Reutenauer (),
Denis Talay and
Etienne Tanré ()
Additional contact information
Christophe Michel: FIM - Service Interest Rates and Hybrid Quantitative Research - CALYON
Victor Reutenauer: Fotonower
Denis Talay: TOSCA - TO Simulate and CAlibrate stochastic models - CRISAM - Inria Sophia Antipolis - Méditerranée - Inria - Institut National de Recherche en Informatique et en Automatique - IECL - Institut Élie Cartan de Lorraine - UL - Université de Lorraine - CNRS - Centre National de la Recherche Scientifique
Etienne Tanré: TOSCA - TO Simulate and CAlibrate stochastic models - CRISAM - Inria Sophia Antipolis - Méditerranée - Inria - Institut National de Recherche en Informatique et en Automatique - IECL - Institut Élie Cartan de Lorraine - UL - Université de Lorraine - CNRS - Centre National de la Recherche Scientifique
Post-Print from HAL
Abstract:
We consider rate swaps which pay a fixed rate against a floating rate in presence of bid-ask spread costs. Even for simple models of bid-ask spread costs, there is no explicit optimal strategy minimizing a risk measure of the hedging error. We here propose an efficient algorithm, based on the stochas-tic gradient method, to obtain an approximate optimal strategy without solving a stochastic control problem. We validate our algorithm by numer-ical experiments. We also develop several variants of the algorithm and discuss their performances in terms of the numerical parameters and the liquidity cost.
Keywords: Optimization optimisation; Stochastic Algorithms; Interest rates derivatives (search for similar items in EconPapers)
Date: 2016
New Economics Papers: this item is included in nep-cmp and nep-mst
Note: View the original document on HAL open archive server: https://inria.hal.science/hal-01098096v3
References: View references in EconPapers View complete reference list from CitEc
Citations:
Published in Applied Mathematical Finance, 2016, ⟨10.1080/1350486X.2016.1164608⟩
Downloads: (external link)
https://inria.hal.science/hal-01098096v3/document (application/pdf)
Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.
Export reference: BibTeX
RIS (EndNote, ProCite, RefMan)
HTML/Text
Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-01098096
DOI: 10.1080/1350486X.2016.1164608
Access Statistics for this paper
More papers in Post-Print from HAL
Bibliographic data for series maintained by CCSD ().