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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

We present a stochastic local volatility model for derivative contracts on commodity futures. The aim of the model is to be able to recover the prices of derivative claims both on futures contracts and on indices on futures strategies.…

Pricing of Securities · Quantitative Finance 2022-08-03 Alberto Manzano , Emanuele Nastasi , Andrea Pallavicini , Carlos Vázquez

This article presents a generic hybrid numerical method to price a wide range of options on one or several assets, as well as assets with stochastic drift or volatility. In particular for equity and interest rate hybrid with local…

Computational Finance · Quantitative Finance 2024-11-11 Olivier Deloire , Louis Roth

We design a novel calibration procedure that is designed to handle the specific characteristics of options on cryptocurrency markets, namely large bid-ask spreads and the possibility of missing or incoherent prices in the considered data…

Pricing of Securities · Quantitative Finance 2022-07-08 Mnacho Echenim , Emmanuel Gobet , Anne-Claire Maurice

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

In this article, we study the rate of convergence of prices when a model is approximated by some simplified model. We also provide a method how explicit error formula for more general options can be obtained if such formula is available for…

Probability · Mathematics 2013-01-08 Lauri Viitasaari

We establish an explicit approximation formula for European put option prices within a general stochastic volatility model with time-dependent parameters. Our methodology is based on expansions of the mixing representation of the put option…

Mathematical Finance · Quantitative Finance 2025-11-07 Kaustav Das , Nicolas Langrené

Over the last decade, dividends have become a standalone asset class instead of a mere side product of an equity investment. We introduce a framework based on polynomial jump-diffusions to jointly price the term structures of dividends and…

Mathematical Finance · Quantitative Finance 2020-05-26 Damir Filipović , Sander Willems

We study T. Cover's rebalancing option (Ordentlich and Cover 1998) under discrete hindsight optimization in continuous time. The payoff in question is equal to the final wealth that would have accrued to a $\$1$ deposit into the best of…

Portfolio Management · Quantitative Finance 2022-10-24 Alex Garivaltis

Stochastic dividend discount models (Hurley and Johnson, 1994 and 1998, Yao, 1997) present expressions for the expected value of stock prices when future dividends evolve according to some random scheme. In this paper we try to offer a more…

Pricing of Securities · Quantitative Finance 2013-11-04 Arianna Agosto , Enrico Moretto

Contracts for Difference (CfDs) are forwards on the spread between an area price and the system price. Together with the system price forwards, these products are used to hedge the area price risk in the Nordic electricity market. The CfDs…

Applications · Statistics 2014-06-27 Egil Ferkingstad , Anders Løland

The true probability of a European call option to achieve positive return is investigated under the Black-Scholes model. It is found that the probability is determined by those market factors appearing in the BS formula, besides the growth…

Pricing of Securities · Quantitative Finance 2009-12-31 Guanghui Huang , Jianping Wan

In the papers Carmona and Durrleman [7] and Bjerksund and Stensland [1], closed form approximations for spread call option prices were studied under the log normal models. In this paper, we give an alternative closed form formula for the…

Mathematical Finance · Quantitative Finance 2024-02-02 Nuerxiati Abudurexiti , Kai He , Dongdong Hu , Hasanjan Sayit

This paper presents a new model for options pricing. The Black-Scholes-Merton (BSM) model plays an important role in financial options pricing. However, the BSM model assumes that the risk-free interest rate, volatility, and equity premium…

Mathematical Finance · Quantitative Finance 2024-08-29 Nicole Hao , Echo Li , Diep Luong-Le

This paper studies equity basket options -- i.e., multi-dimensional derivatives whose payoffs depend on the value of a weighted sum of the underlying stocks -- and develops a new and innovative approach to ensure consistency between options…

Computational Finance · Quantitative Finance 2022-06-22 Lech A. Grzelak , Juliusz Jablecki , Dariusz Gatarek

The validity of an approximation formula for European option prices under a general stochastic volatility model is proved in the light of the Edgeworth expansion for ergodic diffusions. The asymptotic expansion is around the Black-Scholes…

Computational Finance · Quantitative Finance 2010-04-14 Masaaki Fukasawa

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

The real options approach is now considered an effective alternative to the corporate DCF model for a feasibility study. The current paper offers a practical methodology employing binomial trees and real options techniques for evaluating…

Risk Management · Quantitative Finance 2023-03-17 Volodymyr Savchuk

We obtain a decomposition of the call option price for a very general stochastic volatility diffusion model extending the decomposition obtained by E. Al\`os in [2] for the Heston model. We realize that a new term arises when the stock…

Mathematical Finance · Quantitative Finance 2015-03-30 Raul Merino , Josep Vives

We price weather-contingent options by use of Monte Carlo simulations. After calibrating the models to fit quoted prices, we analyze bid-ask spreads in terms of correlations across markets. Results are presented for a double-trigger Weather…

Disordered Systems and Neural Networks · Physics 2008-12-02 Rene' Carmona , Dario Villani