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We investigate LIBOR-based derivatives using a parsimonious field theory interest rate model capable of instilling imperfect correlation between different maturities. Delta and Gamma hedge parameters are derived for LIBOR Caps against…

Physics and Society · Physics 2008-12-02 Belal E. Baaquie , Cui Liang , Mitch C. Warachka

We consider the robust pricing and hedging of American options in a continuous time setting. We assume asset prices are continuous semimartingales, but we allow for general model uncertainty specification via adapted closed convex…

Mathematical Finance · Quantitative Finance 2025-10-08 Ivan Guo , Jan Obłój

We propose a formulation to construct new classes of financial price processes based on the insight that the key variable driving prices $P$ is the earning-over-price ratio $\gamma \simeq 1/P$, which we refer to as the earning yield and is…

Mathematical Finance · Quantitative Finance 2023-06-21 Li Lin , Didier Sornette

We investigate a spatially discrete surrogate model for the dynamics of a slender, elastic, inextensible fiber in turbulent flows. Deduced from a continuous space-time beam model for which no solution theory is available, it consists of a…

Probability · Mathematics 2017-04-28 Felix Lindner , Nicole Marheineke , Holger Stroot , Alexander Vibe , Raimund Wegener

In this paper we study the quality of model-free valuation approaches for financial derivatives by systematically evaluating the difference between model-free super-hedging strategies and the realized payoff of financial derivatives using…

Pricing of Securities · Quantitative Finance 2026-02-18 Zixing Chen , Yihan Qi , Shanlan Que , Julian Sester , Xiao Zhang

The additive process generalizes the L\'evy process by relaxing its assumption of time-homogeneous increments and hence covers a larger family of stochastic processes. Recent research in option pricing shows that modeling the underlying log…

Computational Finance · Quantitative Finance 2024-10-03 Jimin Lin , Guixin Liu

In this paper, we derive the price of a European call option of an asset following a normal process assuming stochastic volatility. The volatility is assumed to follow the Cox Ingersoll Ross (CIR) process. We then use the fast Fourier…

Pricing of Securities · Quantitative Finance 2019-10-07 Matta Uma Maheswara Reddy

We study the pricing of VIX options in the SABR model $dS_t = \sigma_t S_t^\beta dB_t, d\sigma_t = \omega \sigma_t dZ_t$ where $B_t,Z_t$ are standard Brownian motions correlated with correlation $\rho<0$ and $0 \leq \beta < 1$. VIX is…

Pricing of Securities · Quantitative Finance 2025-08-28 Dan Pirjol , Lingjiong Zhu

Discount is the difference between the face value of a bond and its present value. I propose an arbitrage-free dynamic framework for discount models, which provides an alternative to the Heath--Jarrow--Morton framework for forward rates. I…

Mathematical Finance · Quantitative Finance 2023-07-28 Damir Filipovic

In this paper we introduce a flexible HJM-type framework that allows for consistent modelling of intraday, spot, futures, and option prices. This framework is based on stochastic processes with economic interpretations and consistent with…

Mathematical Finance · Quantitative Finance 2019-01-21 Wieger Hinderks , Andreas Wagner , Ralf Korn

A leveraged exchange traded fund (LETF) is an exchange traded fund that uses financial derivatives to amplify the price changes of a basket of goods. In this paper, we consider the robust hedging of European options on a LETF, finding…

Pricing of Securities · Quantitative Finance 2017-02-24 Alexander M. G. Cox , Sam M. Kinsley

We discovered that past changes in the market correlation structure are significantly related with future changes in the market volatility. By using correlation-based information filtering networks we device a new tool for forecasting the…

Portfolio Management · Quantitative Finance 2016-05-31 Nicoló Musmeci , Tomaso Aste , Tiziana Di Matteo

This paper studies how to forecast daily closing price series of Bitcoin, using data on prices and volumes of prior days. Bitcoin price behaviour is still largely unexplored, presenting new opportunities. We compared our results with two…

Statistical Finance · Quantitative Finance 2020-01-07 Nicola Uras , Lodovica Marchesi , Michele Marchesi , Roberto Tonelli

We propose a parsimonious class of arbitrage-free, yields-only dynamic term structure models (DTSMs) with unspanned latent risks. To enable sequential estimation and forecasting, we develop a Sequential Monte Carlo framework that combines…

This paper presents static and dynamic versions of univariate, multivariate, and multilevel functional time-series methods to forecast implied volatility surfaces in foreign exchange markets. We find that dynamic functional principal…

Statistical Finance · Quantitative Finance 2021-07-30 Han Lin Shang , Fearghal Kearney

We present a numerically efficient approach for learning a risk-neutral measure for paths of simulated spot and option prices up to a finite horizon under convex transaction costs and convex trading constraints. This approach can then be…

Computational Finance · Quantitative Finance 2021-07-15 Hans Buehler , Phillip Murray , Mikko S. Pakkanen , Ben Wood

We consider a dynamic market model of liquidity where unmatched buy and sell limit orders are stored in order books. The resulting net demand surface constitutes the sole input to the model. We prove that generically there is no arbitrage…

Mathematical Finance · Quantitative Finance 2018-04-10 Sergey Lototsky , Henry Schellhorn , Ran Zhao

We propose an enhancement to wholesale electricity markets whereby the exposure of consumers to increasingly large and volatile consumer payments arising as a byproduct of volatile real-time net loads -- i.e., loads minus renewable outputs…

Optimization and Control · Mathematics 2024-08-13 Daniel Bienstock , Yury Dvorkin , Cheng Guo , Robert Mieth , Jiayi Wang

As variable renewable energy increases and more demand is electrified, we expect price formation in wholesale electricity markets to transition from being dominated by fossil fuel generators to being dominated by the opportunity costs of…

General Economics · Economics 2026-04-01 Julian Geis , Fabian Neumann , Michael Lindner , Philipp Härtel , Tom Brown

The problem related to predicting dynamic volatility in financial market plays a crucial role in many contexts. We build a new generalized Barndorff-Nielsen and Shephard (BN-S) model suitable for uncertain environment with fuzziness and…

Mathematical Finance · Quantitative Finance 2022-10-28 Xianfei Hui , Baiqing Sun , Hui Jiang , Yan Zhou