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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

The purpose of this paper is to study the generalized Fong--Vasicek two-factor interest rate model with stochastic volatility. In this model the dispersion of the stochastic short rate (square of volatility) is assumed to be stochastic as…

Statistical Finance · Quantitative Finance 2008-12-10 B. Stehlikova , D. Sevcovic

We consider a financial market in which two securities are traded: a stock and an index. Their prices are assumed to satisfy the Black-Scholes model. Besides assuming that the index is a tradable security, we also assume that it is…

Portfolio Management · Quantitative Finance 2011-09-26 Vladimir Vovk

This paper presents an empirical analysis of the capital asset pricing model using trading data for the Chinese A-share market from 2000 to 2019. Firstly, the standard CAPM is tested using a Fama-MacBetch regression and although the results…

Statistical Finance · Quantitative Finance 2023-05-09 Kai Ren

We formulate a forward inflation index model with multi-factor volatility structure featuring a parametric form that allows calibration to correlations between indices of different tenors observed in the market. Assuming the nominal…

Mathematical Finance · Quantitative Finance 2024-05-09 Orcan Ogetbil , Bernhard Hientzsch

We study the continuous time portfolio optimization model on the market where the mean returns of individual securities or asset categories are linearly dependent on underlying economic factors. We introduce the functional $Q_\gamma$…

Portfolio Management · Quantitative Finance 2015-01-29 O. S. Rozanova , G. S. Kambarbaeva

Path integral techniques for the pricing of financial options are mostly based on models that can be recast in terms of a Fokker-Planck differential equation and that, consequently, neglect jumps and only describe drift and diffusion. We…

Pricing of Securities · Quantitative Finance 2010-11-08 L. Z. J. Liang , D. Lemmens , J. Tempere

The Capital Asset Pricing Model (CAPM) relates a well-diversified stock portfolio to a benchmark portfolio. We insert size effect in CAPM, capturing the observation that small stocks have higher risk and return than large stocks, on…

Mathematical Finance · Quantitative Finance 2026-05-04 Abraham Atsiwo , Andrey Sarantsev

We extend the now classic structural credit modeling approach of Black and Cox to a class of "two-factor" models that unify equity securities such as options written on the stock price, and credit products like bonds and credit default…

Pricing of Securities · Quantitative Finance 2011-10-27 Thomas R. Hurd , Zhuowei Zhou

Pricing extremely long-dated liabilities market consistently deals with the decline in liquidity of financial instruments on long maturities. The aim is to quantify the uncertainty of rates up to maturities of a century. We assume that the…

Computational Finance · Quantitative Finance 2013-12-19 Anne Balter , Antoon Pelsser , Peter Schotman

The Vasicek model is a commonly used interest rate model, and there exist many extensions and generalizations of it. However, most generalizations of the model are either univariate or assume the noise process to be Gaussian, or both. In…

This study investigates whether international equity markets systematically price global macroeconomic risks. The empirical analysis is conducted using monthly excess returns for ten G20 countries over the period 2000-2024. A Dynamic Factor…

Applications · Statistics 2026-04-30 Vivek Mishra

On a periodic basis, publicly traded companies are required to report fundamentals: financial data such as revenue, operating income, debt, among others. These data points provide some insight into the financial health of a company.…

Machine Learning · Statistics 2018-04-27 John Alberg , Zachary C. Lipton

Motivated by empirical observations on the interplay of trends and reversion, a lattice gas model of financial markets is presented. The shares of an asset are modeled by gas molecules that are distributed across a hidden social network of…

Statistical Finance · Quantitative Finance 2022-03-02 Christof Schmidhuber

The present study introduce the human capital component to the Fama and French five-factor model proposing an equilibrium six-factor asset pricing model. The study employs an aggregate of four sets of portfolios mimicking size and industry…

Statistical Finance · Quantitative Finance 2018-10-19 Rahul Roy , Santhakumar Shijin

Modeling and characterizing multiple factors is perhaps the most important step in achieving excess returns over market benchmarks. Both academia and industry are striving to find new factors that have good explanatory power for future…

Computational Finance · Quantitative Finance 2022-10-31 Zikai Wei , Bo Dai , Dahua Lin

In this paper we propose a new stochastic model based on a generalization of semi-Markov chains to study the high frequency price dynamics of traded stocks. We assume that the financial returns are described by a weighted indexed…

Statistical Finance · Quantitative Finance 2015-06-05 Guglielmo D'Amico , Filippo Petroni

A multivariate quantile regression model with a factor structure is proposed to study data with many responses of interest. The factor structure is allowed to vary with the quantile levels, which makes our framework more flexible than the…

Methodology · Statistics 2020-01-22 Shih-Kang Chao , Wolfgang Karl Härdle , Ming Yuan

The aim of this paper is to propose a new methodology that allows forecasting, through Vasicek and CIR models, of future expected interest rates (for each maturity) based on rolling windows from observed financial market data. The novelty,…

Computational Finance · Quantitative Finance 2019-01-16 Giuseppe Orlando , Rosa Maria Mininni , Michele Bufalo

This article considers a model for alternative processes for securities prices and compares this model with actual return data of several securities. The distributions of returns that appear in the model can be Gaussian as well as…

Adaptation and Self-Organizing Systems · Physics 2008-12-02 Kyrylo Shmatov , Mikhail Smirnov
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