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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…

Mathematical Finance · Quantitative Finance 2023-12-19 Hayden Brown

Over the past 60 years, there has been a gradual increase in the volatility of daily returns for the S&P 500 Index. Hypothetically, suppose that market forces determine daily volatility such that a daily leveraged S&P 500 fund cannot…

Mathematical Finance · Quantitative Finance 2024-11-14 Hayden Brown

A common belief is that leveraged ETFs (LETFs) suffer long-term performance decay due to \emph{volatility drag}. We show that this view is incomplete: LETF performance depends fundamentally on return autocorrelation and return dynamics. In…

Statistical Finance · Quantitative Finance 2025-04-30 Chung-Han Hsieh , Jow-Ran Chang , Hui Hsiang Chen

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…

Computational Finance · Quantitative Finance 2015-04-16 Tim Leung , Matthew Lorig , Andrea Pascucci

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…

General Finance · Quantitative Finance 2016-11-01 Kevin Guo , Tim Leung

The predictions of the S&P 500 returns made in 2007 have been tested and the underlying models amended. The period between 2003 and 2008 should be described by the dependence of the S&P 500 stock market index on real GDP because the…

Statistical Finance · Quantitative Finance 2010-04-02 Ivan O. Kitov , Oleg I. Kitov

It is common knowledge that leverage can increase the potential returns of an investment, at the expense of increased risk. For a passive investor in the stock market, leverage can be achieved using margin debt or leveraged-ETFs. We perform…

Statistical Finance · Quantitative Finance 2021-03-19 Tal Miller

By monitoring the time evolution of the most liquid Futures contracts traded globally as acquired using the Bloomberg API from 03 January 2000 until 15 December 2014 we were able to forecast the S&P 500 index beating the Buy and Hold…

Statistical Finance · Quantitative Finance 2016-12-19 Panagiotis Papaioannou , Thomas Dionysopoulos , Dietmar Janetzko , Constantinos Siettos

We investigate quantitatively the so-called leverage effect, which corresponds to a negative correlation between past returns and future volatility. For individual stocks, this correlation is moderate and decays exponentially over 50 days,…

Condensed Matter · Physics 2007-05-23 Jean-Philippe Bouchaud , Andrew Matacz , Marc Potters

Previous research has shown that for stock indices, the most likely time until a return of a particular size has been observed is longer for gains than for losses. We establish that this so-called gain/loss asymmetry is present also for…

Statistical Finance · Quantitative Finance 2009-11-25 Johannes Vitalis Siven , Jeffrey Todd Lins

Leveraged Exchange Traded Funds (LETFs), while extremely controversial in the literature, remain stubbornly popular with both institutional and retail investors in practice. While the criticisms of LETFs are certainly valid, we argue that…

Computational Finance · Quantitative Finance 2025-03-25 Pieter van Staden , Peter Forsyth , Yuying Li

A leveraged ETF is a fund aimed at achieving a rate of return several times greater than that of the underlying asset such as Nikkei 225 futures. Recently, it has been suggested that rebalancing trades of a leveraged ETF may destabilize the…

Trading and Market Microstructure · Quantitative Finance 2020-10-27 Isao Yagi , Shunya Maruyama , Takanobu Mizuta

We show that recent stock market fluctuations are characterized by the cumulative distributions whose tails on short, minute time scales exhibit power scaling with the scaling index alpha > 3 and this index tends to increase quickly with…

Statistical Finance · Quantitative Finance 2009-11-13 S. Drozdz , M. Forczek , J. Kwapien , P. Oswiecimka , R. Rak

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…

Computational Finance · Quantitative Finance 2026-03-09 Ryuki Hayase , Takanobu Mizuta , Isao Yagi

The paper analyzes the cryptocurrency ecosystem at both the aggregate and individual levels to understand the factors that impact future volatility. The study uses high-frequency panel data from 2020 to 2022 to examine the relationship…

Statistical Finance · Quantitative Finance 2024-04-09 Alessio Brini , Jimmie Lenz

Using a recently introduced method to quantify the time varying lead-lag dependencies between pairs of economic time series (the thermal optimal path method), we test two fundamental tenets of the theory of fixed income: (i) the stock…

Statistical Finance · Quantitative Finance 2011-09-26 Kun Guo , Wei-Xing Zhou , Si-Wei Cheng , Didier Sornette

We note a simple mechanism that may at least partially resolve several outstanding economic puzzles, including why the cyclically adjusted price to earnings ratio of the S&P 500 index has been oddly high for the past two decades, why gains…

Economics · Quantitative Finance 2018-02-14 Bruce Knuteson

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…

Statistical Finance · Quantitative Finance 2024-09-04 F. N. M. de Sousa Filho , J. N. Silva , M. A. Bertella , E. Brigatti

We review the dynamics of the returns of Leveraged Exchange Traded Funds (LETFs) and propose a new measure of realized volatility: Shortfall from Maximum Convexity. We show that SMC has a more intuitive interpretation and provides more…

Statistical Finance · Quantitative Finance 2015-10-06 Matthew Ginley

A linear link between S&P 500 return and the change rate of the number of nine-year-olds in the USA has been found. The return is represented by a sum of monthly returns during previous twelve months. The change rate of the specific age…

Statistical Finance · Quantitative Finance 2008-12-10 Ivan O. Kitov , Oleg I. Kitov
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