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In this paper we study the pricing of exchange options when underlying assets have stochastic volatility and stochastic correlation. An approximation using a closed-form approximation based on a Taylor expansion of the conditional price is…

Pricing of Securities · Quantitative Finance 2020-01-14 Enrique Villamor , Pablo Olivares

This study utilised the dynamics of five time-varying models to estimate six essential features of financial return volatility that are relevant for robust risk management. These features include pronounced persistence, mean reversion,…

Applications · Statistics 2025-03-05 Richard T. A. Samuel , Charles Chimedza , Caston Sigauke

Energy markets and the associated energy futures markets play a crucial role in global economies. We investigate the statistical properties of the recurrence intervals of daily volatility time series of four NYMEX energy futures, which are…

Statistical Finance · Quantitative Finance 2013-12-31 Wen-Jie Xie , Zhi-Qiang Jiang , Wei-Xing Zhou

We build a simple model of leveraged asset purchases with margin calls. Investment funds use what is perhaps the most basic financial strategy, called "value investing", i.e. systematically attempting to buy underpriced assets. When funds…

Statistical Finance · Quantitative Finance 2010-01-11 Stefan Thurner , J. Doyne Farmer , John Geanakoplos

We consider insurance derivatives depending on an external physical risk process, for example a temperature in a low dimensional climate model. We assume that this process is correlated with a tradable financial asset. We derive optimal…

Pricing of Securities · Quantitative Finance 2008-12-10 Stefan Ankirchner , Peter Imkeller , Alexandre Popier

We examine whether hedging effectiveness is affected by asymmetry in the return distribution by applying tail specific metrics to compare the hedging effectiveness of short and long hedgers using crude oil futures contracts. The metrics…

Computational Finance · Quantitative Finance 2011-03-29 John Cotter , Jim Hanly

This paper examines the volatility and covariance dynamics of cash and futures contracts that underlie the Optimal Hedge Ratio (OHR) across different hedging time horizons. We examine whether hedge ratios calculated over a short term…

Risk Management · Quantitative Finance 2011-03-31 John Cotter , Jim Hanly

Risk aversion is a key element of utility maximizing hedge strategies; however, it has typically been assigned an arbitrary value in the literature. This paper instead applies a GARCH-in-Mean (GARCH-M) model to estimate a time-varying…

Risk Management · Quantitative Finance 2011-03-31 John Cotter , Jim Hanly

Peters (2011a) defined an optimal leverage which maximizes the time-average growth rate of an investment held at constant leverage. It was hypothesized that this optimal leverage is attracted to 1, such that, e.g., leveraging an investment…

General Finance · Quantitative Finance 2020-06-12 Ole Peters , Alexander Adamou

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

In this paper, we contribute to the literature on energy market co-movement by studying its dynamics in the time-frequency domain. The novelty of our approach lies in the application of wavelet tools to commodity market data. A major part…

Statistical Finance · Quantitative Finance 2012-01-24 Lukas Vacha , Jozef Barunik

In this paper we find tight sufficient conditions for the continuity of the value of the utility maximization problem from terminal wealth with respect to the convergence in distribution of the underlying processes. We also establish a weak…

Mathematical Finance · Quantitative Finance 2020-06-19 Erhan Bayraktar , Yan Dolinsky , Jia Guo

This work adopts a novel approach to determine the risk and return of crude oil stocks by employing Arbitrage Pricing Theory (APT) and Quantile Regression (QR).The APT identifies the underlying risk factors likely to impact crude oil…

Statistical Finance · Quantitative Finance 2023-10-12 Sarit Maitra , Vivek Mishra , Sukanya Kundu , Manav Chopra

We study the dynamics of the linear and non-linear serial dependencies in financial time series in a rolling window framework. In particular, we focus on the detection of episodes of statistically significant two- and three-point…

Statistical Finance · Quantitative Finance 2013-01-10 Milan Žukovič

Financial markets for Liquified Natural Gas (LNG) are an important and rapidly-growing segment of commodities markets. Like other commodities markets, there is an inherent spatial structure to LNG markets, with different price dynamics for…

Risk Management · Quantitative Finance 2019-07-25 Michael Weylandt , Yu Han , Katherine B. Ensor

Based on a criterion of mathematical simplicity and consistency with empirical market data, a stochastic volatility model has been obtained with the volatility process driven by fractional noise. Depending on whether the stochasticity…

Statistical Finance · Quantitative Finance 2015-06-05 R. Vilela Mendes , M. J. Oliveira , A. M. Rodrigues

Trading pressure from one asset can move the price of another, a phenomenon referred to as cross impact. Using tick-by-tick data spanning 5 years for 500 assets listed in the United States, we identify the features that make cross-impact…

Trading and Market Microstructure · Quantitative Finance 2024-03-27 Victor Le Coz , Iacopo Mastromatteo , Damien Challet , Michael Benzaquen

The coupled nonlinear volatility and option pricing model presented recently by Ivancevic is investigated, which generates a leverage effect, i.e., stock volatility is (negatively) correlated to stock returns, and can be regarded as a…

Pricing of Securities · Quantitative Finance 2015-05-27 Zhenya Yan

We study in details the skew of stock option smiles, which is induced by the so-called leverage effect on the underlying -- i.e. the correlation between past returns and future square returns. This naturally explains the anomalous…

Pricing of Securities · Quantitative Finance 2008-12-02 Stefano Ciliberti , Jean-Philippe Bouchaud , Marc Potters

In this paper we propose a novel pricing-hedging framework for volatility derivatives which simultaneously takes into account rough volatility and volatility jumps. Our model directly targets the instantaneous variance of a risky asset and…

Pricing of Securities · Quantitative Finance 2021-11-30 Liang Wang , Weixuan Xia