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The discrete-time multifactor Vasi\v{c}ek model is a tractable Gaussian spot rate model. Typically, two- or three-factor versions allow one to capture the dependence structure between yields with different times to maturity in an…

Mathematical Finance · Quantitative Finance 2016-09-05 Philipp Harms , David Stefanovits , Josef Teichmann , Mario V. Wüthrich

We present a detailed study of the performance of a trading rule that uses moving average of past returns to predict future returns on stock indexes. Our main goal is to link performance and the stochastic process of the traded asset. Our…

Statistical Finance · Quantitative Finance 2019-07-03 Fernando F. Ferreira , A. Christian Silva , Ju-Yi Yen

Forman-Ricci curvature (FRC) is a potent and powerful tool for analysing empirical networks, as the distribution of the curvature values can identify structural information that is not readily detected by other geometrical methods.…

Data Analysis, Statistics and Probability · Physics 2024-05-13 Danillo Barros de Souza , Jonatas T. S. da Cunha , Fernando A. N. Santos , Jürgen Jost , Serafim Rodrigues

We show that the martingale component in the long-term factorization of the stochastic discount factor due to Alvarez and Jermann (2005) and Hansen and Scheinkman (2009) is highly volatile, produces a downward-sloping term structure of bond…

Mathematical Finance · Quantitative Finance 2016-01-26 Likuan Qin , Vadim Linetsky , Yutian Nie

This paper introduces a unified approach for modeling high-frequency financial data that can accommodate both the continuous-time jump-diffusion and discrete-time realized GARCH model by embedding the discrete realized GARCH structure in…

Methodology · Statistics 2020-06-16 Xinyu Song , Donggyu Kim , Huiling Yuan , Xiangyu Cui , Zhiping Lu , Yong Zhou , Yazhen Wang

The paper studies estimation of parameters of diffusion market models from historical data. The standard definition of implied volatility for these models presents its value as an implicit function of several parameters, including the…

Pricing of Securities · Quantitative Finance 2013-04-23 Nikolai Dokuchaev

We propose a mathematical model to describe the athermal fluctuations of thin sheets driven by the type of random driving that might be experienced prior to weak crumpling. The model is obtained by merging the F\"oppl-von K\'arm\'an…

Soft Condensed Matter · Physics 2022-08-11 Chanania Steinbock , Eytan Katzav , Arezki Boudaoud

We introduce a novel GARCH model that integrates two sources of uncertainty to better capture the rich, multi-component dynamics often observed in the volatility of financial assets. This model provides a quasi closed-form representation of…

Econometrics · Economics 2024-10-21 Luca Vincenzo Ballestra , Enzo D'Innocenzo , Christian Tezza

Recent literature seek to forecast implied volatility derived from equity, index, foreign exchange, and interest rate options using latent factor and parametric frameworks. Motivated by increased public attention borne out of the…

Statistical Finance · Quantitative Finance 2020-09-22 Fearghal Kearney , Han Lin Shang , Lisa Sheenan

We introduce a multi-factor stochastic volatility model based on the CIR/Heston volatility process that incorporates seasonality and the Samuelson effect. First, we give conditions on the seasonal term under which the corresponding…

Pricing of Securities · Quantitative Finance 2015-06-22 Lorenz Schneider , Bertrand Tavin

This article presents a generic framework for modeling the dynamics of forward curves in commodity market as commodity derivatives are typically traded by futures or forwards. We have theoretically demonstrated that commodity prices are…

Pricing of Securities · Quantitative Finance 2026-02-26 David Xiao

The notion of a credit spread curve is fundamental in fixed income investing, but in practice it is not `given' and needs to be constructed from bond prices either for a particular issuer, or for a sector rating-by-rating. Rather than…

Pricing of Securities · Quantitative Finance 2024-04-09 Richard J. Martin

Attributing an observed outcome to its root cause is a central task in domains ranging from medical diagnosis to engineering fault diagnosis. Existing approaches either equate the root cause with a root node of the causal graph, as in…

Methodology · Statistics 2026-05-13 Zitong Lu , Zhi Geng , Wei Li , Min Xie

We introduce a multi-factor stochastic volatility model based on the CIR/Heston stochastic volatility process. In order to capture the Samuelson effect displayed by commodity futures contracts, we add expiry-dependent exponential damping…

Pricing of Securities · Quantitative Finance 2015-02-23 Lorenz Schneider , Bertrand Tavin

This paper provides an insight to the time-varying dynamics of the shape of the distribution of financial return series by proposing an exponential weighted moving average model that jointly estimates volatility, skewness and kurtosis over…

Risk Management · Quantitative Finance 2012-06-08 A. Gabrielsen , P. Zagaglia , A. Kirchner , Z. Liu

In this work, we consider the issue of pricing exchange options and spread options with stochastic interest rates. We provide the closed form solution for the exchange option price when interest rate is stochastic. Our result holds when…

Condensed Matter · Physics 2007-05-23 Craig Liu , D. F. Wang

Forward-looking correlations are of interest in different financial applications, including factor-based asset pricing, forecasting stock-price movements or pricing index options. With a focus on non-FX markets, this paper defines necessary…

Mathematical Finance · Quantitative Finance 2021-07-02 Wolfgang Schadner

An average instantaneous cross-correlation function is introduced to quantify the interaction of the financial market of a specific time. Based on the daily data of the American and Chinese stock markets, memory effect of the average…

Statistical Finance · Quantitative Finance 2015-05-18 Tian Qiu , Guang Chen , Li-Xin Zhong , Xiao-Wei Lei

We investigate the quantification of demographic risk in a framework consistent with the market-consistent valuation imposed by Solvency II. We provide compact formulas for evaluating inflows and outflows of a portfolio of insurance…

Risk Management · Quantitative Finance 2023-07-07 Francesco Della Corte , Gian Paolo Clemente , Nino Savelli

We explore the effect of past market movements on the instantaneous correlations between assets within the futures market. Quantifying this effect is of interest to estimate and manage the risk associated to portfolios of futures in a…

Statistical Finance · Quantitative Finance 2020-01-13 Armine Karami , Raphael Benichou , Michael Benzaquen , Jean-Philippe Bouchaud