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The growth of the exhange-traded fund (ETF) industry has given rise to the trading of options written on ETFs and their leveraged counterparts {(LETFs)}. We study the relationship between the ETF and LETF implied volatility surfaces when…

计算金融 · 定量金融 2015-04-16 Tim Leung , Matthew Lorig , Andrea Pascucci

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…

交易与市场微观结构 · 定量金融 2021-02-10 Zhiyong Cheng , Jun Deng , Tianyi Wang , Mei Yu

The year 2024 witnessed a major development in the cryptocurrency industry with the long-awaited approval of spot Bitcoin exchange-traded funds (ETFs). This innovation provides investors with a new, regulated path to gain exposure to…

交易与市场微观结构 · 定量金融 2024-09-04 Di Wu

In this paper, we mainly study the impact of the implied certainty equivalent rate on investment in financial markets. First, we derived the mathematical expression of the implied certainty equivalent rate by using put-call parity, and then…

综合金融 · 定量金融 2023-08-08 Yifan He , Svetlozar Rachev

This paper measures price differences between Hegic option quotes on Arbitrum and a model-based benchmark built on Black--Scholes model with regime-sensitive volatility estimated via a two-regime MS-AR-(GJR)-GARCH model. Using option-level…

证券定价 · 定量金融 2025-12-24 Anastasiia Zbandut

Leveraged ETFs (L-ETFs) are exchange-traded funds that achieve price movements several times greater than an index by holding index-linked futures such as Nikkei Stock Average Index futures. It is known that when the price of an L-ETF…

计算金融 · 定量金融 2026-03-09 Ryuki Hayase , Takanobu Mizuta , Isao Yagi

Equity basket correlation can be estimated both using the physical measure from stock prices, and also using the risk neutral measure from option prices. The difference between the two estimates motivates a so-called "dispersion strategy''.…

统计金融 · 定量金融 2020-09-22 Wolfgang Karl Härdle , Elena Silyakova

We consider the hedging problem where a futures position can be automatically liquidated by the exchange without notice. We derive a semi-closed form for an optimal hedging strategy with dual objectives - to minimise both the variance of…

风险管理 · 定量金融 2021-08-11 Carol Alexander , Jun Deng , Bin Zou

Daily leveraged exchange traded funds amplify gains and losses of their underlying benchmark indexes on a daily basis. The result of going long in a daily leveraged ETF for more than one day is less clear. Here, bounds are given for the…

数理金融 · 定量金融 2023-12-19 Hayden Brown

Option prices encode the market's collective outlook through implied density and implied volatility. An explicit link between implied density and implied volatility translates the risk-neutrality of the former into conditions on the latter…

计算金融 · 定量金融 2026-03-19 Jimin Lin

In December 2017, two leading derivative exchanges, CBOE and CME, introduced the first regulated Bitcoin futures. Our aim is estimating their causal impact on Bitcoin volatility and trading volume. Employing a new causal approach, C-ARIMA,…

统计金融 · 定量金融 2021-10-01 Fiammetta Menchetti , Fabrizio Cipollini , Fabrizia Mealli

Cryptocurrency blockchains, beyond their primary role as distributed payment systems, are increasingly used to store and share arbitrary content, such as text messages and files. Although often non-financial, this hidden content can impact…

机器学习 · 计算机科学 2025-04-21 Charalampos Kleitsikas , Nikolaos Korfiatis , Stefanos Leonardos , Carmine Ventre

This paper examines the relationship between Inverse Perpetual Swap contracts, a Bitcoin derivative akin to futures and the margin funding interest rates levied on BitMEX. This paper proves the Heteroskedastic nature of funding rates and…

统计金融 · 定量金融 2019-12-09 Sai Srikar Nimmagadda , Pawan Sasanka Ammanamanchi

Investments in cryptocurrencies (CCs) remain risky due to high volatility. Exchange Traded Funds (ETFs) are a suitable tool to diversify risk and to benefit from the growth of the whole CC sector. We construct an ETF on the CRIX, the…

综合金融 · 定量金融 2023-03-14 Konstantin Häusler

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…

统计金融 · 定量金融 2019-01-16 Nikolai Zaitsev

In this paper, we explore some stylized facts of the Bitcoin market using the BTC-USD exchange rate time series of historical intraday data from 2013 to 2020. Bitcoin presents some very peculiar idiosyncrasies, like the absence of…

统计金融 · 定量金融 2024-09-04 F. N. M. de Sousa Filho , J. N. Silva , M. A. Bertella , E. Brigatti

Commodity exchange-traded funds (ETFs) are a significant part of the rapidly growing ETF market. They have become popular in recent years as they provide investors access to a great variety of commodities, ranging from precious metals to…

综合金融 · 定量金融 2016-11-01 Kevin Guo , Tim Leung

Over 90% of exchange trading on crypto options has always been on the Deribit platform. This centralised crypto exchange only lists inverse products because they do not accept fiat currency. Currently, fiat-based traders can only make…

证券定价 · 定量金融 2022-10-18 Carol Alexander , Ding Chen , Arben Imeraj

In this paper, we present a method for constructing a (static) portfolio of co-maturing European options whose price sign is determined by the skewness level of the associated implied volatility. This property holds regardless of the…

证券定价 · 定量金融 2016-11-18 Sergey Nadtochiy , Jan Obloj

Algorithmic trading is well studied in traditional financial markets. However, it has received less attention in centralized cryptocurrency exchanges. The Commodity Futures Trading Commission (CFTC) attributed the $2010$ flash crash, one of…

交易与市场微观结构 · 定量金融 2020-02-28 Paz Grimberg , Tobias Lauinger , Damon McCoy
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