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Many countries have adopted negative interest rate policies with tiering remuneration, which allows for exemption from negative rates. This practice has led to higher interbank trading volumes, with market rates ranging between zero and the…

General Economics · Economics 2026-01-21 Toshifumi Nakamura

This paper examines a semi-analytical approach for pricing American options in time-inhomogeneous models characterized by negative interest rates (for equity/FX) or negative convenience yields (for commodities/cryptocurrencies). Under such…

Pricing of Securities · Quantitative Finance 2025-07-22 Andrey Itkin , Yerkin Kitapbayev

Following the recent literature on make take fees policies, we consider an exchange wishing to set a suitable contract with several market makers in order to improve trading quality on its platform. To do so, we use a principal-agent…

Trading and Market Microstructure · Quantitative Finance 2021-03-09 Bastien Baldacci , Dylan Possamaï , Mathieu Rosenbaum

Payment channel networks like Bitcoin's Lightning network are an auspicious approach for realizing high transaction throughput and almost-instant confirmations in blockchain networks. However, the ability to successfully make payments in…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-27 Oguzhan Ersoy , Stefanie Roos , Zekeriya Erkin

In this paper, we describe a novel agent-based approach for modelling the transaction cost of buying or selling an asset in financial markets, e.g., to liquidate a large position as a result of a margin call to meet financial obligations.…

Trading and Market Microstructure · Quantitative Finance 2025-05-22 Perukrishnen Vytelingum , Rory Baggott , Namid Stillman , Jianfei Zhang , Dingqiu Zhu , Tao Chen , Justin Lyon

We study balanced exchange problems in which agents with responsive preferences are endowed with multiple indivisible objects and can trade without transfers (e.g. shift exchange, time-banking). Eliciting full preferences over bundles is…

Theoretical Economics · Economics 2026-04-14 Vikram Manjunath , Alexander Westkamp

As markets have digitized, the number of tradable products has skyrocketed. Algorithmically constructed portfolios of these assets now dominate public and private markets, resulting in a combinatorial explosion of tradable assets. In this…

Computer Science and Game Theory · Computer Science 2025-05-27 Theo Diamandis , Tarun Chitra , Guillermo Angeris

A prevalent market structure in the Internet economy consists of buyers and sellers connected by a platform (such as Amazon or eBay) that acts as an intermediary and keeps a share of the revenue of each transaction. While the optimal…

Computer Science and Game Theory · Computer Science 2014-09-10 Rad Niazadeh , Yang Yuan , Robert D. Kleinberg

We characterize the price of an Asian option, a financial contract, as a fixed-point of a non-linear operator. In recent years, there has been interest in incorporating changes of regime into the parameters describing the evolution of the…

Pricing of Securities · Quantitative Finance 2018-04-26 Adriana Ocejo

Public blockchains implement a fee mechanism to allocate scarce computational resources across competing transactions. Most existing fee market designs utilize a joint, fungible unit of account (e.g., gas in Ethereum) to price otherwise…

Optimization and Control · Mathematics 2022-11-04 Theo Diamandis , Alex Evans , Tarun Chitra , Guillermo Angeris

We first show that there are in fact triangular arbitrage opportunities in the spot foreign exchange markets, analyzing the time dependence of the yen-dollar rate, the dollar-euro rate and the yen-euro rate. Next, we propose a model of…

Statistical Mechanics · Physics 2009-11-07 Yukihiro Aiba , Naomichi Hatano , Hideki Takayasu , Kouhei Marumo , Tokiko Shimizu

We study an American option pricing problem with liquidity risks and transaction fees. As endogenous transaction costs, liquidity risks of the underlying asset are modeled by a mean-reverting process. Transaction fees are exogenous…

Mathematical Finance · Quantitative Finance 2025-09-08 Dong Yan , Xin-Jie Huang , Guiyuan Ma , Xin-Jiang He

We study the range of prices at which a rational agent should contemplate transacting a financial contract outside a given securities market. Trading is subject to nonproportional transaction costs and portfolio constraints and full…

Mathematical Finance · Quantitative Finance 2022-04-08 Maria Arduca , Cosimo Munari

The marginal price of electricity traditionally depends on the dual variables associated with relevant optimization goals. Particularly, in the optimal power flow realm, prices represent the cost of supplying an additional unit of power at…

Optimization and Control · Mathematics 2016-06-29 Kyri Baker

We study the upper hedging price for contingent claims in market models with strong types of arbitrage: increasing profit, strong arbitrage, and arbitrage of the first kind. The existence of arbitrage may make the price smaller than if it…

Mathematical Finance · Quantitative Finance 2026-03-31 Yukihiro Tsuzuki

Participation in permissionless blockchains results in competition over system resources, which needs to be controlled with fees. Ethereum's current fee mechanism is implemented via a first-price auction that results in unpredictable fees…

Computer Science and Game Theory · Computer Science 2021-06-08 Stefanos Leonardos , Barnabé Monnot , Daniël Reijsbergen , Stratis Skoulakis , Georgios Piliouras

Constant Product Market Makers use fees that are typically fixed proportions of trade size. When these fees are automatically reinvested into the pool, as in Uniswap~V2 and some designs of Uniswap V4, the final state after a trade can…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-01 Andrey Voronin , Roman Vlasov , Vladimir Gorgadze , Andrey Seoev , Yury Yanovich

Variable annuities, as a class of retirement income products, allow equity market exposure for a policyholder's retirement fund with electable additional guarantees to limit the downside risk of the market. Management fees and guarantee…

Pricing of Securities · Quantitative Finance 2017-05-12 Jin Sun , Pavel V. Shevchenko , Man Chung Fung

Demand for blockchains such as Bitcoin and Ethereum is far larger than supply, necessitating a mechanism that selects a subset of transactions to include "on-chain" from the pool of all pending transactions. This paper investigates the…

Cryptography and Security · Computer Science 2023-12-27 Tim Roughgarden

We study the triangle inequalities for angles (with different definitions) and present inequalities concerning the entries of correlation matrices through the positivity of $3\times 3$ matrices. We extend our discussions to the inequalities…

Functional Analysis · Mathematics 2014-12-10 Diego Castano , Vehbi E. Paksoy , Fuzhen Zhang
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