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The classical discrete time model of proportional transaction costs relies on the assumption that a feasible portfolio process has solvent increments at each step. We extend this setting in two directions, allowing for convex transaction…

数理金融 · 定量金融 2021-01-15 Emmanuel Lepinette , Ilya Molchanov

In this paper a simple model for the evolution of the forward density of the future value of an asset is proposed. The model allows for a straightforward initial calibration to option prices and has dynamics that are consistent with…

证券定价 · 定量金融 2013-01-22 Henrik Hult , Filip Lindskog , Johan Nykvist

We study risk-sharing equilibria with general convex costs on the agents' trading rates. For an infinite-horizon model with linear state dynamics and exogenous volatilities, we prove that the equilibrium returns mean-revert around their…

数理金融 · 定量金融 2020-04-16 Lukas Gonon , Johannes Muhle-Karbe , Xiaofei Shi

We introduce a modular framework that extends the signature method to handle American option pricing under evolving volatility roughness. Building on the signature-pricing framework of Bayer et al. (2025), we add three practical…

数理金融 · 定量金融 2025-08-13 Roshan Shah

The calibration of volatility models from observable option prices is a fundamental problem in quantitative finance. The most common approach among industry practitioners is based on the celebrated Dupire's formula [6], which requires the…

数理金融 · 定量金融 2019-06-25 Ivan Guo , Grégoire Loeper , Shiyi Wang

We investigate methods for pricing American options under the variance gamma model. The variance gamma process is a pure jump process which is constructed by replacing the calendar time by the gamma time in a Brownian motion with drift,…

计算金融 · 定量金融 2022-07-04 Weilong Fu , Ali Hirsa

Trading algorithms that execute large orders are susceptible to exploitation by order anticipation strategies. This paper studies the influence of order anticipation strategies in a multi-investor model of optimal execution under transient…

交易与市场微观结构 · 定量金融 2019-03-12 Elias Strehle

American options are financial instruments that can be exercised at any time before expiration. In this paper we study the problem of pricing this kind of derivatives within a framework in which some of the properties --volatility and…

物理与社会 · 物理学 2008-12-02 Miquel Montero

Travel time derivatives are financial instruments that derive their value from road travel times, serving as an underlying asset that cannot be directly traded. Within the transportation domain, these derivatives are proposed as a more…

应用统计 · 统计学 2023-05-25 Ke Wan , Alain Kornhauser

In this paper we study a continuous time stochastic inventory model for a commodity traded in the spot market and whose supply purchase is affected by price and demand uncertainty. A firm aims at meeting a random demand of the commodity at…

最优化与控制 · 数学 2015-06-12 Maria B. Chiarolla , Giorgio Ferrari , Gabriele Stabile

This paper is devoted to a study of robust fundamental theorems of asset pricing in discrete time and finite horizon settings. Uncertainty is modelled by a (possibly uncountable) family of price processes on the same probability space. Our…

数理金融 · 定量金融 2024-04-04 Huy N. Chau

A third-order approximation for close-to-the-money European option prices under an infinite-variation CGMY L\'{e}vy model is derived, and is then extended to a model with an additional independent Brownian component. The asymptotic regime…

证券定价 · 定量金融 2017-11-23 José E. Figueroa-López , Ruoting Gong , Christian Houdré

Prudent management of insurance investment portfolios requires competent asset pricing of fixed-income assets with time-to-event contingent cash flows, such as consumer asset-backed securities (ABS). Current market pricing techniques for…

风险管理 · 定量金融 2023-02-27 Jackson P. Lautier , Vladimir Pozdnyakov , Jun Yan

Assuming that price of the underlying stock is moving in range bound, the Black-Scholes formula for options pricing supports a separation of variables. The resulting time-independent equation is solved employing different behavior of the…

证券定价 · 定量金融 2013-07-24 Ovidiu Racorean

In this paper, we study the pricing of contracts in fixed income markets under volatility uncertainty in the sense of Knightian uncertainty or model uncertainty. The starting point is an arbitrage-free bond market under volatility…

证券定价 · 定量金融 2021-11-09 Julian Hölzermann

Diffusion processes driven by Fractional Brownian motion (FBM) have often been considered in modeling stock price dynamics in order to capture the long range dependence of stock price observed in reality. Option prices for such models had…

统计理论 · 数学 2024-05-29 Ananya Lahiri , Rituparna Sen

Latency (i.e., time delay) in electronic markets affects the efficacy of liquidity taking strategies. During the time liquidity takers process information and send marketable limit orders (MLOs) to the exchange, the limit order book (LOB)…

交易与市场微观结构 · 定量金融 2019-08-12 Álvaro Cartea , Sebastian Jaimungal , Leandro Sánchez-Betancourt

We study hedging and pricing of unattainable contingent claims in a non-Markovian regime-switching financial model. Our financial market consists of a bank account and a risky asset whose dynamics are driven by a Brownian motion and a…

证券定价 · 定量金融 2013-03-19 Łukasz Delong , Antoon Pelsser

This paper studies an optimal trading problem that incorporates the trader's market view on the terminal asset price distribution and uninformative noise embedded in the asset price dynamics. We model the underlying asset price evolution by…

数理金融 · 定量金融 2018-08-07 Tim Leung , Jiao Li , Xin Li

In financial markets, the order flow, defined as the process assuming value one for buy market orders and minus one for sell market orders, displays a very slowly decaying autocorrelation function. Since orders impact prices, reconciling…

统计金融 · 定量金融 2015-06-19 Damian Eduardo Taranto , Giacomo Bormetti , Fabrizio Lillo