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In cryptocurrency markets, a key challenge for perpetual future issuers is maintaining alignment between the perpetual future price and target value. This study addresses this challenge by exploring the relationship between funding rates…

Mathematical Finance · Quantitative Finance 2025-06-11 Jaehyun Kim , Hyungbin Park

Perpetual swaps are derivative contracts that allow traders to speculate on, or hedge, the price movements of cryptocurrencies. Unlike futures contracts, perpetual swaps have no settlement or expiration in the traditional sense. The funding…

Trading and Market Microstructure · Quantitative Finance 2024-04-05 Ioannis Giagkiozis , Emilio Said

In this paper, we analyze traders' behavior within both centralized exchanges (CEXs) and decentralized exchanges (DEXs), focusing on the volatility of Bitcoin prices and the trading activity of investors engaged in perpetual future…

Trading and Market Microstructure · Quantitative Finance 2024-04-26 Erdong Chen , Mengzhong Ma , Zixin Nie

We consider a continuous-time financial market with no arbitrage and no transactions costs. In this setting, we introduce two types of perpetual contracts, one in which the payoff to the long side is a fixed function of the underlyers and…

Mathematical Finance · Quantitative Finance 2022-09-08 Guillermo Angeris , Tarun Chitra , Alex Evans , Matthew Lorig

This study investigates the transmission of monetary policy narratives to Bitcoin prices, distinguishing the impact of ex-ante expectations from ex-post interest rate implementation. We introduce a high-frequency Monetary Policy…

Report presents analysis of empirical distribution of future returns of bitcoin (BTC) from BTUSD inverse option prices. Logistic pdf is chosen as underlying distribution to fit option prices. The result is satisfactory and suggests that…

Statistical Finance · Quantitative Finance 2019-01-16 Nikolai Zaitsev

Siegel's paradox is a fundamental question in international finance about exchange rates for futures contracts and has puzzled many scholars for over forty years. The unorthodox approach presented in this article leads to an arbitrage-free…

Mathematical Finance · Quantitative Finance 2018-05-10 Keivan Mallahi-Karai , Pedram Safari

Perpetual futures are contracts without expiration date in which the anchoring of the futures price to the spot price is ensured by periodic funding payments from long to short. We derive explicit expressions for the no-arbitrage price of…

Pricing of Securities · Quantitative Finance 2024-09-05 Damien Ackerer , Julien Hugonnier , Urban Jermann

Using data from a live trading experiment on the Binance Bitcoin perpetual, we examine the effects of (i) basic order book mechanics and (ii) the persistence of price changes from immediate to short timescales, revealing the interplay…

Trading and Market Microstructure · Quantitative Finance 2025-11-25 Jakob Albers , Mihai Cucuringu , Sam Howison , Alexander Y. Shestopaloff

The Ethereum blockchain network enables transaction processing and smart-contract execution through levies of transaction fees, commonly known as gas fees. This framework mediates economic participation via a market-based mechanism for gas…

General Finance · Quantitative Finance 2025-01-10 Lennart Ante , Aman Saggu

Perpetual futures are the most popular cryptocurrency derivatives. Perpetuals offer leveraged exposure to their underlying without rollover or direct ownership. Unlike fixed-maturity futures, perpetuals are not guaranteed to converge to the…

Pricing of Securities · Quantitative Finance 2024-08-23 Songrun He , Asaf Manela , Omri Ross , Victor von Wachter

This paper studies optimal liquidity provision for perpetual contracts when the funding rate is a stochastic state variable. The core extension to classical market making is the coupling between inventory and funding payments: inventory…

Mathematical Finance · Quantitative Finance 2026-05-08 Nam Anh Le

Using the generalized extreme value theory to characterize tail distributions, we address liquidation, leverage, and optimal margins for bitcoin long and short futures positions. The empirical analysis of perpetual bitcoin futures on BitMEX…

Trading and Market Microstructure · Quantitative Finance 2021-02-10 Zhiyong Cheng , Jun Deng , Tianyi Wang , Mei Yu

We applied the SVAR-LiNGAM to illustrate the causal relationships between the spot exchange rate, and three crypto-asset exchange rates, Bitcoin, Ethereum, and Ripple. It was notable that the causal order, the EUR_USD spot…

Statistical Finance · Quantitative Finance 2022-11-30 Takeshi Yoshihara , Taisei Kaizoji

In recent years, cryptocurrencies have attracted growing attention from both private investors and institutions. Among them, Bitcoin stands out for its impressive volatility and widespread influence. This paper explores the predictability…

Statistical Finance · Quantitative Finance 2025-04-29 Grégory Bournassenko

In recent years cryptocurrency trading has captured the attention of practitioners and academics. The volume of the exchange with standard currencies has known a dramatic increasing of late. This paper addresses to the need of models…

Computational Finance · Quantitative Finance 2020-02-18 Pablo Olivares

A term structure model in which the short rate is zero is developed as a candidate for a theory of cryptocurrency interest rates. The price processes of crypto discount bonds are worked out, along with expressions for the instantaneous…

Mathematical Finance · Quantitative Finance 2019-12-18 Dorje C. Brody , Lane P. Hughston , Bernhard K. Meister

We discuss the binary nature of funding impact in derivative valuation. Under some conditions, funding is either a cost or a benefit, i.e., one of the lending/borrowing rates does not play a role in pricing derivatives. When derivatives are…

Mathematical Finance · Quantitative Finance 2020-08-25 Junbeom Lee , Chao Zhou

We analyse high-frequency realised volatility dynamics and spillovers in the bitcoin market, focusing on two pairs: bitcoin against the US dollar (the main fiat-crypto pair) and trading bitcoin against tether (the main crypto-crypto pair).…

Trading and Market Microstructure · Quantitative Finance 2021-08-09 Carol Alexander , Daniel Heck , Andreas Kaeck

Bitcoin is currently subject to a significant pay-for-speed trade-off. This is caused by lengthy and highly variable transaction confirmation times, especially during times of congestion. Users can reduce their transaction confirmation…

Probability · Mathematics 2024-02-28 Rowel Gündlach , Ivo V. Stoepker , Stella Kapodistria , Jacques A. C. Resing
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