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In decentralized finance (DeFi), stablecoins like DAI are designed to offer a stable value amidst the fluctuating nature of cryptocurrencies. We examine the class of crypto-backed stable derivatives, with a focus on mechanisms for price…

Risk Management · Quantitative Finance 2024-02-29 Zhenbang Feng , Hardhik Mohanty , Bhaskar Krishnamachari

Stablecoins have emerged as a significant component of global financial infrastructure, with aggregate market capitalization surpassing USD250 billion in 2025. Their increasing integration into payment and settlement systems has…

Risk Management · Quantitative Finance 2025-10-14 Hongzhe Wen , R. S. M. Lau

Cryptocurrencies are considered relevant assets and they are currently used as an investment or to carry out transactions. However, specific characteristics commonly associated with the cryptocurrencies such as irreversibility,…

Cryptography and Security · Computer Science 2023-11-30 Hugo Almeida , Pedro Pinto , Ana Fernández Vilas

Blockchain smart contracts have emerged as a transformative force in the digital realm, spawning a diverse range of compelling applications. Since solidity smart contracts across various domains manage trillions of dollars in virtual coins,…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-12-12 Zhiyuan Wei , Xianhao Zhang , Jing Sun , Zijian Zhang , Liehuang Zhu

In this paper we extend the known methodology for fitting stable distributions to the multivariate case and apply the suggested method to the modelling of daily cryptocurrency-return data. The investigated time period is cut into 10…

Applications · Statistics 2018-10-24 Szabolcs Majoros , András Zempléni

Decentralized Finance (DeFi), in which digital assets are exchanged without trusted intermediaries, has grown rapidly in value in recent years. The global DeFi ecosystem is fragmented into multiple blockchains, fueling the demand for…

Cryptography and Security · Computer Science 2024-10-16 Daniël Reijsbergen , Bretislav Hajek , Tien Tuan Anh Dinh , Jussi Keppo , Henry F. Korth , Anwitaman Datta

The recent financial crisis have generated renewed interests in fragilities of global financial networks among economists and regulatory authorities. In particular, a potential vulnerability of the financial networks is the "financial…

General Finance · Quantitative Finance 2014-08-27 Bhaskar DasGupta , Lakshmi Kaligounder

Cryptocurrency is a novel exploration of a form of currency that proposes a decentralized electronic payment scheme based on blockchain technology and cryptographic theory. While cryptocurrency has the security characteristics of being…

Cryptography and Security · Computer Science 2025-03-31 Zekai Liu , Xiaoqi Li

The stability analysis of socioeconomic systems has been centered on answering whether small perturbations when a system is in a given quantitative state will push the system permanently to a different quantitative state. However, typically…

Physics and Society · Physics 2014-09-01 Serguei Saavedra , Rudolf P. Rohr , Luis J. Gilarranz , Jordi Bascompte

In recent years, the tendency of the number of financial institutions including cryptocurrencies in their portfolios has accelerated. Cryptocurrencies are the first pure digital assets to be included by asset managers. Although they have…

Trading and Market Microstructure · Quantitative Finance 2022-01-31 Fan Fang , Carmine Ventre , Michail Basios , Leslie Kanthan , Lingbo Li , David Martinez-Regoband , Fan Wu

We will look for stable structures in four situations and discuss what is known and unknown.

Differential Geometry · Mathematics 2019-07-09 Tobias Holck Colding , William P. Minicozzi

We organize existing empirical regularities of cryptocurrencies into seven stylized facts and analyze cryptocurrencies through the lens of empirical asset pricing. We find important similarities with traditional markets--risk-adjusted…

General Finance · Quantitative Finance 2026-03-24 Nicola Borri , Yukun Liu , Aleh Tsyvinski , Xi Wu

The literature on volatility modelling and option pricing is a large and diverse area due to its importance and applications. This paper provides a review of the most significant volatility models and option pricing methods, beginning with…

Pricing of Securities · Quantitative Finance 2009-04-09 Sovan Mitra

We analyze the stability properties of equilibrium solutions and periodicity of orbits in a two-dimensional dynamical system whose orbits mimic the evolution of the price of an asset and the excess demand for that asset. The construction of…

Dynamical Systems · Mathematics 2009-09-29 Vladimir Belitsky , Antonio L. Pereira , Fernando P. de Almeida Prado

Crypto-coins (also known as cryptocurrencies) are tradable digital assets. Notable examples include Bitcoin, Ether and Litecoin. Ownerships of cryptocoins are registered on distributed ledgers (i.e., blockchains). Secure encryption…

Statistical Finance · Quantitative Finance 2022-12-05 Pasquale De Rosa , Valerio Schiavoni

We study two classes of over-the-counter markets specified by systems of ODE's, in the spirit of Duffie-Garleanu-Pedersen, Econometrica, 2005. We first compute the steady states for many of these ODE's. Then we obtain the prices at which…

Computational Finance · Quantitative Finance 2013-08-14 Alain Bélanger , Gaston Giroux , Miguel Moisan-Poisson

This paper is concerned with the stability of shares in a cryptocurrency where the new coins are issued according to the Proof of Stake protocol. We identify large, medium and small investors under various rewarding schemes, and show that…

General Economics · Economics 2022-06-07 Wenpin Tang

Blockchain and its application on cryptocurrency transactions have gathered a lot of attention and popularity since the birth of the pioneer Bitcoin in 2009. More than 1500 cryptocurrencies are currently circulated in the market. The…

Computers and Society · Computer Science 2019-01-21 Gourang Aggarwal , Vimal Patel , Gaurav Varshney , Kimberly Oostman

We review different classes of cryptocurrencies with emphasis on their economic properties. Pure-asset coins such as Bitcoin, Ethereum and Ripple are characterized by not being a liability of any economic agent and most resemble commodities…

General Economics · Economics 2021-09-22 Matheus R. Grasselli , Alexander Lipton

In this paper, to cope with the shortage of sufficient theoretical support resulted from the fast-growing quantitative financial modeling, we investigate two classes of generalized stochastic volatility models, establish their…

Probability · Mathematics 2020-10-20 Ning Ning , Jing Wu