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This study delves into the temporal dynamics within the equity market through the lens of bond traders. Recognizing that the riskless interest rate fluctuates over time, we leverage the Black-Derman-Toy model to trace its temporal…

Trading and Market Microstructure · Quantitative Finance 2023-10-19 Yifan He , Yuan Hu , Svetlozar Rachev

A marketplace is defined where the private data of suppliers (e.g., prosumers) are protected, so that neither their identity nor their level of stock is made known to end customers, while they can sell their products at a reduced price. A…

Cryptography and Security · Computer Science 2016-03-02 Maurizio Naldi , Giuseppe D'Acquisto

Involving effects of media, opinion leader and other agents on the opinion of individuals of market society, a trader based model is developed and utilized to simulate price via supply and demand. Pronounced effects are considered with…

Physics and Society · Physics 2009-11-11 Caglar Tuncay

We consider the mean-field game price formation model introduced by Gomes and Sa\'ude. In this MFG model, agents trade a commodity whose supply can be deterministic or stochastic. Agents maximize profit, taking into account current and…

Numerical Analysis · Mathematics 2022-04-05 Yuri Ashrafyan , Tigran Bakaryan , Diogo Gomes , Julian Gutierrez

Perpetual American options are financial instruments that can be readily exercised and do not mature. In this paper we study in detail the problem of pricing this kind of derivatives, for the most popular flavour, within a framework in…

Pricing of Securities · Quantitative Finance 2009-07-09 Miquel Montero

We consider a dynamic market model where buyers and sellers submit limit orders. If at a given moment in time, the buyer is unable to complete his entire order due to the shortage of sell orders at the required limit price, the unmatched…

Computational Finance · Quantitative Finance 2012-06-22 David German , Henry Schellhorn

This paper studies dynamic monopoly pricing for a broad class of settings that allow for multiple durable, multiple rental, or a mix of varieties. We show that the driving force behind pricing dynamics is the existence of trading-up…

General Economics · Economics 2025-07-09 Stefan Buehler , Nicolas Eschenbaum , Severin Lenhard

Breakability rate of fragile item depends on the accumulated stress of heaped stock level. So breakablility rate can be considered as dependent parameter of stock variable. The unit production cost is a function of production rate and also…

Optimization and Control · Mathematics 2020-06-03 J. N. Roul , K. Maity , S. Kar , M. Maiti

Based on empirical market data, a stochastic volatility model is proposed with volatility driven by fractional noise. The model is used to obtain a risk-neutrality option pricing formula and an option pricing equation.

Other Condensed Matter · Physics 2008-12-02 Rui Vilela Mendes , Maria Joao Oliveira

We consider a sequential decision-making setting where, at every round $t$, a market maker posts a bid price $B_t$ and an ask price $A_t$ to an incoming trader (the taker) with a private valuation for one unit of some asset. If the trader's…

Computer Science and Game Theory · Computer Science 2025-06-18 Nicolò Cesa-Bianchi , Tommaso Cesari , Roberto Colomboni , Luigi Foscari , Vinayak Pathak

This paper considers utility indifference valuation of derivatives under model uncertainty and trading constraints, where the utility is formulated as an additive stochastic differential utility of both intertemporal consumption and…

Mathematical Finance · Quantitative Finance 2017-07-26 Huiwen Yan , Gechun Liang , Zhou Yang

In this paper, we consider the pricing and hedging of a financial derivative for an insider trader, in a model-independent setting. In particular, we suppose that the insider wants to act in a way which is independent of any modelling…

Mathematical Finance · Quantitative Finance 2020-06-25 Beatrice Acciaio , Alexander M. G. Cox , Martin Huesmann

We study overpricing in a repeated game between two representative agents: a market maker, who controls market liquidity, and a market taker, who chooses trade quantities. Market prices evolve through the endogenous price impact of trades…

Trading and Market Microstructure · Quantitative Finance 2026-05-12 Luigi Foscari , Emanuele Guidotti , Nicolò Cesa-Bianchi , Tatjana Chavdarova , Alfio Ferrara

We present a dynamical model for the price evolution of financial assets. The model is based in a two level structure. In the first stage one finds an agent-based model that describes the present state of the investors' beliefs,…

Trading and Market Microstructure · Quantitative Finance 2009-07-30 Miquel Montero

A first attempt at obtaining market--directional information from a non--stationary solution of the dynamic equation "future price tends to the value that maximizes the number of shares traded per unit time" [1] is presented. We demonstrate…

Trading and Market Microstructure · Quantitative Finance 2019-03-29 Vladislav Gennadievich Malyshkin

How do supply and demand from informed traders drive market prices of bitcoin options? Deribit options tick-level data supports the limits-to-arbitrage hypothesis about the market maker's supply. The main demand-side effects are that…

General Finance · Quantitative Finance 2022-03-28 Carol Alexander , Jun Deng , Jianfen Feng , Huning Wan

In an electric power system, demand fluctuations may result in significant ancillary cost to suppliers. Furthermore, in the near future, deep penetration of volatile renewable electricity generation is expected to exacerbate the variability…

Optimization and Control · Mathematics 2012-07-13 John N. Tsitsiklis , Yunjian Xu

We develop robust pricing and hedging of a weighted variance swap when market prices for a finite number of co--maturing put options are given. We assume the given prices do not admit arbitrage and deduce no-arbitrage bounds on the weighted…

Pricing of Securities · Quantitative Finance 2012-09-19 Mark H. A. Davis , Jan Obloj , Vimal Raval

The paper presents two new approaches to modeling the interaction of small and medium pricetaking traders with a stock exchange. In the framework of these approaches, the traders can form and manage their portfolios of financial instruments…

Economics · Quantitative Finance 2016-10-19 A. Belenky , L. Egorova

The pricing of options, warrants and other derivative securities is one of the great success of financial economics. These financial products can be modeled and simulated using quantum mechanical instruments based on a Hamiltonian…

Soft Condensed Matter · Physics 2008-12-18 Belal E. Baaquie , Claudio Coriano , Marakani Srikant
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