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The robust option pricing problem is to find upper and lower bounds on fair prices of financial claims using only the most minimal assumptions. It contrasts with the classical, model-based approach and gained prominence in the wake of the…

数理金融 · 定量金融 2023-12-15 Alexander M. G. Cox , Annemarie M. Grass

This paper studies the optimal risk-averse timing to sell a risky asset. The investor's risk preference is described by the exponential, power, or log utility. Two stochastic models are considered for the asset price -- the geometric…

数理金融 · 定量金融 2016-10-27 Tim Leung , Zheng Wang

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…

投资组合管理 · 定量金融 2020-10-01 Martin Herdegen , Johannes Muhle-Karbe , Dylan Possamaï

We study how trading costs are reflected in equilibrium returns. To this end, we develop a tractable continuous-time risk-sharing model, where heterogeneous mean-variance investors trade subject to a quadratic transaction cost. The…

投资组合管理 · 定量金融 2018-04-06 Bruno Bouchard , Masaaki Fukasawa , Martin Herdegen , Johannes Muhle-Karbe

We investigate pricing-hedging duality for American options in discrete time financial models where some assets are traded dynamically and others, e.g. a family of European options, only statically. In the first part of the paper we…

最优化与控制 · 数学 2017-04-11 Anna Aksamit , Shuoqing Deng , Jan Obłój , Xiaolu Tan

The aim of this work is to introduce a new stochastic volatility model for equity derivatives. To overcome some of the well-known problems of the Heston model, and more generally of the affine models, we define a new specification for the…

证券定价 · 定量金融 2014-09-19 José Da Fonseca , Claude Martini

Trading large volumes of a financial asset in order driven markets requires the use of algorithmic execution dividing the volume in many transactions in order to minimize costs due to market impact. A proper design of an optimal execution…

交易与市场微观结构 · 定量金融 2015-06-05 Enzo Busseti , Fabrizio Lillo

This paper studies the dividend and capital injection problem under a diffusion risk model with general discount functions. A proportional cost is imposed when injecting capitals. For exponential discounting as time-consistent benchmark, we…

数理金融 · 定量金融 2025-05-30 Sang Hu , Zihan Zhou

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…

数理金融 · 定量金融 2014-09-23 Krzysztof Turek

We develop a new market-making model, from the ground up, which is tailored towards high-frequency trading under a limit order book (LOB), based on the well-known classification of order types in market microstructure. Our flexible…

交易与市场微观结构 · 定量金融 2020-01-31 Baron Law , Frederi Viens

This paper considers a Markovian model of a limit order book where time-dependent rates are allowed. With the objective of understanding the mechanisms through which a microscopic model of an orderbook can converge to more general diffusion…

计算金融 · 定量金融 2023-02-03 Jonathan A. Chávez-Casillas

In this paper, we consider the portfolio optimization problem in a financial market under a general utility function. Empirical results suggest that if a significant market fluctuation occurs, invested wealth tends to have a notable change…

投资组合管理 · 定量金融 2022-01-26 Minglian Lin , Indranil SenGupta

The paper develops general, discrete, non-probabilistic market models and minmax price bounds leading to price intervals for European options. The approach provides the trajectory based analogue of martingale-like properties as well as a…

数理金融 · 定量金融 2015-11-06 Sebastian E. Ferrando , Alfredo L. Gonzalez , Ivan L. Degano , Massoome Rahsepar

The duality between the robust (or equivalently, model independent) hedging of path dependent European options and a martingale optimal transport problem is proved. The financial market is modeled through a risky asset whose price is only…

概率论 · 数学 2013-06-19 Yan Dolinsky , H. Mete Soner

We address the problem of executing large client orders in continuous double-auction markets under time and liquidity constraints. We propose a model predictive control (MPC) framework that balances three competing objectives: order…

We study portfolio selection in a model with both temporary and transient price impact introduced by Garleanu and Pedersen (2016). In the large-liquidity limit where both frictions are small, we derive explicit formulas for the…

投资组合管理 · 定量金融 2020-04-15 Ibrahim Ekren , Johannes Muhle-Karbe

We consider the discretized Bachelier model where hedging is done on an equidistant set of times. Exponential utility indifference prices are studied for path-dependent European options and we compute their non-trivial scaling limit for a…

概率论 · 数学 2022-03-03 Asaf Cohen , Yan Dolinsky

We study a market model in which the volatility of the stock may jump at a random time from a fixed value to another fixed value. This model was already described in the literature. We present a new approach to the problem, based on partial…

统计力学 · 物理学 2008-12-02 Miquel Montero

The paper studies sub and super-replication price bounds for contingent claims defined on general trajectory based market models. No prior probabilistic or topological assumptions are placed on the trajectory space, trading is assumed to…

数理金融 · 定量金融 2018-02-22 Ivan Degano , Sebastian Ferrando , Alfredo Gonzalez

Continuous time models in the theory of real options give explicit formulas for optimal exercise strategies when options are simple and the price of an underlying asset follows a geometric Brownian motion. This paper suggests a general,…

其他凝聚态物理 · 物理学 2008-12-02 Svetlana Boyarchenko , Sergei Levendorskii