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Trading a financial asset pushes its price as well as the prices of other assets, a phenomenon known as cross-impact. The empirical estimation of this effect on complex financial instruments, such as derivatives, is an open problem. To…

Trading and Market Microstructure · Quantitative Finance 2022-03-30 Mehdi Tomas , Iacopo Mastromatteo , Michael Benzaquen

Traders constantly consider the price impact associated with changing their positions. This paper seeks to understand how price impact emerges from the quoting strategies of market makers. To this end, market making is modeled as a dynamic…

Mathematical Finance · Quantitative Finance 2021-01-06 Angad Singh

We study a financial model with a non-trivial price impact effect. In this model we consider the interaction of a large investor trading in an illiquid security, and a market maker who is quoting prices for this security. We assume that the…

Pricing of Securities · Quantitative Finance 2009-10-20 David German

For a market impact model, price manipulation and related notions play a role that is similar to the role of arbitrage in a derivatives pricing model. Here, we give a systematic investigation into such regularity issues when orders can be…

Trading and Market Microstructure · Quantitative Finance 2014-05-08 Florian Klöck , Alexander Schied , Yuemeng Sun

One of the shortcomings of the Black and Scholes model on option pricing is the assumption that trading of the underlying asset does not affect the price of that asset. This assumption can be fulfilled only in perfectly liquid markets.…

Pricing of Securities · Quantitative Finance 2013-04-18 Youssef El-Khatib , Abdulnasser Hatemi-J

The classical linear Black--Scholes model for pricing derivative securities is a popular model in financial industry. It relies on several restrictive assumptions such as completeness, and frictionless of the market as well as the…

Mathematical Finance · Quantitative Finance 2019-01-23 Jose Cruz , Daniel Sevcovic

This paper investigates the investment behaviour of a large unregulated financial institution (FI) with CARA risk preferences. It shows how the FI optimizes its trading to account for market illiquidity using an extension of the…

Mathematical Finance · Quantitative Finance 2016-10-04 T. R. Hurd , Quentin H. Shao , Tuan Tran

Dealers in foreign exchange markets provide bid and ask prices to their clients at which they are happy to buy and sell, respectively. To manage risk, dealers can skew their quotes and hedge in the interbank market. Hedging offers certainty…

Trading and Market Microstructure · Quantitative Finance 2026-01-21 Alexander Barzykin

Paper is based on "The cost of illiquidity and its effects on hedging", L. C. G. Rogers and Surbjeet Singh, 2010. We generalize its thesis to constant elasticity model, which own previously used Black-Schoels model as a special case. The…

Mathematical Finance · Quantitative Finance 2014-09-23 Krzysztof Turek

This paper analyzes the role of money in asset markets characterized by search frictions. We develop a dynamic framework that brings together a model for illiquid financial assets `a la Duffie, Garleanu, and Pedersen, and a search-theoretic…

Theoretical Economics · Economics 2019-09-05 Athanasios Geromichalos , Juan M. Licari , Jose Suarez-Lledo

We study risk-sharing economies where heterogenous agents trade subject to quadratic transaction costs. The corresponding equilibrium asset prices and trading strategies are characterised by a system of nonlinear, fully-coupled…

Portfolio Management · Quantitative Finance 2020-10-01 Martin Herdegen , Johannes Muhle-Karbe , Dylan Possamaï

We study the valuation and hedging problem of European options in a market subject to liquidity shocks. Working within a Markovian regime-switching setting, we model illiquidity as the inability to trade. To isolate the impact of such…

Pricing of Securities · Quantitative Finance 2014-09-10 Michael Ludkovski , Qunying Shen

We derive an explicit solution for deterministic market impact parameters in the Graewe and Horst (2017) portfolio liquidation model. The model allows to combine various forms of market impact, namely instantaneous, permanent and temporary.…

Mathematical Finance · Quantitative Finance 2019-12-16 Ying Chen , Ulrich Horst , Hoang Hai Tran

We consider thin incomplete financial markets, where traders with heterogeneous preferences and risk exposures have motive to behave strategically regarding the demand schedules they submit, thereby impacting prices and allocations. We…

Mathematical Finance · Quantitative Finance 2018-06-22 Michail Anthropelos , Constantinos Kardaras , Georgios Vichos

The vast majority of market impact studies assess each product individually, and the interactions between the different order flows are disregarded. This strong approximation may lead to an underestimation of trading costs and possible…

Trading and Market Microstructure · Quantitative Finance 2017-03-08 Michael Benzaquen , Iacopo Mastromatteo , Zoltan Eisler , Jean-Philippe Bouchaud

We study the pricing and hedging of European spread options on correlated assets when, in contrast to the standard framework and consistent with imperfect liquidity markets, the trading in the stock market has a direct impact on stocks…

Computational Finance · Quantitative Finance 2021-01-05 Kevin Shuai Zhang , Traian Pirvu

In this paper, we construct the utility-based optimal hedging strategy for a European-type option in the Almgren-Chriss model with temporary price impact. The main mathematical challenge of this work stems from the degeneracy of the second…

Pricing of Securities · Quantitative Finance 2020-06-18 Ibrahim Ekren , Sergey Nadtochiy

We study a financial model with a non-trivial price impact effect. In this model we consider the interaction of a large investor trading in an illiquid security, and a market maker who is quoting prices for this security. We assume that the…

Pricing of Securities · Quantitative Finance 2010-07-21 David German

This paper presents a stochastic model for discrete-time trading in financial markets where trading costs are given by convex cost functions and portfolios are constrained by convex sets. The model does not assume the existence of a cash…

Pricing of Securities · Quantitative Finance 2010-06-24 Teemu Pennanen

In this paper, we propose an equilibrium pricing model in a dynamic multi-period stochastic framework with uncertain income streams. In an incomplete market, there exist two traded risky assets (e.g. stock/commodity and weather derivative)…

Optimization and Control · Mathematics 2012-05-29 Traian A. Pirvu , Huayue Zhang
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