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In this article, we consider European options of type $h(X^1_T, X^2_T,\ldots, X^n_T)$ depending on several underlying assets. We study how such options can be valued in terms of simple vanilla options in non-specified market models. We…

Probability · Mathematics 2014-01-27 Jarno Talponen , Lauri Viitasaari

We consider stochastic volatility models under parameter uncertainty and investigate how model derived prices of European options are affected. We let the pricing parameters evolve dynamically in time within a specified region, and…

Mathematical Finance · Quantitative Finance 2018-07-12 Samuel N. Cohen , Martin Tegnér

Spread options are a fundamental class of derivative contract written on multiple assets, and are widely used in a range of financial markets. There is a long history of approximation methods for computing such products, but as yet there is…

Computational Finance · Quantitative Finance 2009-02-23 T. R. Hurd , Zhuowei Zhou

In this paper, we price European Call three different option pricing models, where the volatility is dynamically changing i.e. non constant. In stochastic volatility (SV) models for option pricing a closed form approximation technique is…

Pricing of Securities · Quantitative Finance 2023-09-19 Natasha Latif , Shafqat Ali Shad , Muhammad Usman , Chandan Kumar , Bahman B Motii , MD Mahfuzer Rahman , Khuram Shafi , Zahra Idrees

Models to price long term loans in the securities lending business are developed. These longer horizon deals can be viewed as contracts with optionality embedded in them. This insight leads to the usage of established methods from…

Pricing of Securities · Quantitative Finance 2022-03-29 Ravi Kashyap

Funding is a cost to trading desks that they see as an input. Current FVA-related literature reflects this by also taking funding costs as an input, usually constant, and always risk-neutral. However, this funding curve is the output from a…

Pricing of Securities · Quantitative Finance 2014-08-26 Chris Kenyon , Andrew Green

We present a dynamic hedging scheme for S&P 500 options, where rebalancing decisions are enhanced by integrating information about the implied volatility surface dynamics. The optimal hedging strategy is obtained through a deep policy…

Risk Management · Quantitative Finance 2025-08-14 Pascal François , Geneviève Gauthier , Frédéric Godin , Carlos Octavio Pérez Mendoza

We price and replicate a variety of claims written on the log price $X$ and quadratic variation $[X]$ of a risky asset, modeled as a positive semimartingale, subject to stochastic volatility and jumps. The pricing and hedging formulas do…

Mathematical Finance · Quantitative Finance 2021-07-02 Peter Carr , Roger Lee , Matthew Lorig

In this paper we analyse financial implications of exchangeability and similar properties of finite dimensional random vectors. We show how these properties are reflected in prices of some basket options in view of the well-known put-call…

Pricing of Securities · Quantitative Finance 2011-04-05 Ilya Molchanov , Michael Schmutz

In this paper, we consider pricing of European options and spread options for Hawkes-based model for the limit order book. We introduce multivariate Hawkes process and the multivariable general compound Hawkes process. Exponential…

Mathematical Finance · Quantitative Finance 2022-09-19 Qi Guo , Anatoliy Swishchuk , Bruno Rémillard

In this paper we develop an algorithm to calculate the prices and Greeks of barrier options in a hyper-exponential additive model with piecewise constant parameters. We obtain an explicit semi-analytical expression for the first-passage…

Pricing of Securities · Quantitative Finance 2009-12-31 Marc Jeannin , Martijn Pistorius

This report was originally written as an industry white paper on Hedge Funds. This paper gives an overview to Hedge Funds, with a focus on risk management issues. We define and explain the general characteristics of Hedge Funds, their main…

General Finance · Quantitative Finance 2009-04-20 Sovan Mitra

This paper presents an overview of information-based asset pricing. In this approach, an asset is defined by its cash-flow structure. The market is assumed to have access to "partial" information about future cash flows. Each cash flow is…

Pricing of Securities · Quantitative Finance 2012-01-31 Dorje C. Brody , Lane P. Hughston , Andrea Macrina

Networking companies, especially the ones with the biggest market shares, tend to offer end to end solutions for their customers, with large discounts, that it would sound irrational to decline such offers, helping contractors make larger…

Networking and Internet Architecture · Computer Science 2019-10-02 Edmond Shami

The introduction of transaction costs into the theory of option pricing could lead not only to the change of return for options, but also to the change of the volatility. On the base of assumption of the portfolio analysis, a new equation…

General Physics · Physics 2007-05-23 Alexander Morozovsky

We propose a deep hedging framework for index option portfolios, grounded in a realistic market simulator that captures the joint dynamics of S&P 500 returns and the full implied volatility surface. Our approach integrates surface-informed…

Risk Management · Quantitative Finance 2025-08-14 Pascal François , Geneviève Gauthier , Frédéric Godin , Carlos O. Pérez-Mendoza

A statistical decision problem is hidden in the core of option pricing. A simple form for the price C of a European call option is obtained via the minimum Bayes risk, R_B, of a 2-parameter estimation problem, thus justifying calling C…

Pricing of Securities · Quantitative Finance 2013-04-19 Yannis G. Yatracos

Model uncertainty is a type of inevitable financial risk. Mistakes on the choice of pricing model may cause great financial losses. In this paper we investigate financial markets with mean-volatility uncertainty. Models for stock markets…

Pricing of Securities · Quantitative Finance 2014-07-31 Yuhong Xu

Following the recent literature on make take fees policies, we consider an exchange wishing to set a suitable contract with several market makers in order to improve trading quality on its platform. To do so, we use a principal-agent…

Trading and Market Microstructure · Quantitative Finance 2021-03-09 Bastien Baldacci , Dylan Possamaï , Mathieu Rosenbaum

Opportunities for stochastic arbitrage in an options market arise when it is possible to construct a portfolio of options which provides a positive option premium and which, when combined with a direct investment in the underlying asset,…

Computational Finance · Quantitative Finance 2025-01-23 Brendan K. Beare , Juwon Seo , Zhongxi Zheng