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Related papers: Electricity Real Options Valuation

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In this paper analytic formulas for electricity derivatives are calculated. To this end, we assume that electricity spot prices follow a 3-regime Markov regime-switching model with independent spikes and drops and periodic transition…

Pricing of Securities · Quantitative Finance 2012-03-27 Joanna Janczura

This paper presents a multinomial method for option pricing when the underlying asset follows an exponential Variance Gamma process. The continuous time Variance Gamma process is approximated by a discrete time Markov chain with the same…

Pricing of Securities · Quantitative Finance 2021-06-18 Nicola Cantarutti , João Guerra

We price European options in a class of models in which the volatility of the underlying risky asset depends on the short rate of interest. Our study results in an explicit pricing formula that depends on knowledge of a characteristic…

Mathematical Finance · Quantitative Finance 2026-02-03 Tim Leung , Matthew Lorig

We present a new numerical method to price vanilla options quickly in time-changed Brownian motion models. The method is based on rational function approximations of the Black-Scholes formula. Detailed numerical results are given for a…

Computational Finance · Quantitative Finance 2012-04-02 Martijn Pistorius , Johannes Stolte

In the information-based approach to asset pricing the market filtration is modelled explicitly as a superposition of signals concerning relevant market factors and independent noise. The rate at which the signal is revealed to the market…

Pricing of Securities · Quantitative Finance 2010-09-21 Dorje C. Brody , Yan Tai Law

In this paper we propose an extension of the Merton model. We apply the subdiffusive mechanism to analyze equity warrant in a fractional Brownian motion environment, when the short rate follows the subdiffusive fractional Black-Scholes…

Pricing of Securities · Quantitative Finance 2020-11-03 Foad Shokrollahi , Marcin Marcin Magdziarz

Starting from a basic model in which the dynamic of the transaction prices is a geometric Brownian motion disrupted by a microstructure white noise, corresponding to the random alternation of bids and asks, we propose moment-based…

Statistical Finance · Quantitative Finance 2025-01-07 Xavier Brouty , Matthieu Garcin , Hugo Roccaro

In this paper, we propose and study a novel continuous-time model, based on the well-known constant elasticity of variance (CEV) model, to describe the asset price process. The basic idea is that the volatility elasticity of the CEV model…

Mathematical Finance · Quantitative Finance 2022-03-18 Fuzhou Gong , Ting Wang

In this paper we propose a closed-form approximation for the price of basket options under a multivariate Black-Scholes model, based on Taylor expansions and the calculation of mixed exponential-power moments of a Gaussian distribution. Our…

Pricing of Securities · Quantitative Finance 2014-04-15 Pablo Olivares , Alexander Alvarez

This study focuses on the application of the Heston model to option pricing, employing both theoretical derivations and empirical validations. The Heston model, known for its ability to incorporate stochastic volatility, is derived and…

Computational Finance · Quantitative Finance 2024-10-22 Zheng Cao , Xinhao Lin

We propose a numerical method for the valuation of European-style options under two-asset infinite-activity exponential L\'evy models. Our method extends the effective approach developed by Wang, Wan & Forsyth (2007) for the 1-dimensional…

Numerical Analysis · Mathematics 2026-04-01 Massimiliano Moda , Karel J. in 't Hout , Michèle Vanmaele , Fred Espen Benth

This paper is devoted to the pricing of Barrier options by optimal quadratic quantization method. From a known useful representation of the premium of barrier options one deduces an algorithm similar to one used to estimate nonlinear filter…

Pricing of Securities · Quantitative Finance 2025-12-09 Abass Sagna

We introduce a new class of continuous-time models of the stochastic volatility of asset prices. The models can simultaneously incorporate roughness and slowly decaying autocorrelations, including proper long memory, which are two stylized…

Statistical Finance · Quantitative Finance 2021-01-06 Mikkel Bennedsen , Asger Lunde , Mikko S. Pakkanen

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

In this paper we study the pricing of exchange options when underlying assets have stochastic volatility and stochastic correlation. An approximation using a closed-form approximation based on a Taylor expansion of the conditional price is…

Pricing of Securities · Quantitative Finance 2020-01-14 Enrique Villamor , Pablo Olivares

We consider the problem of valuation of American (call and put) options written on a dividend paying stock governed by the geometric Brownian motion. We show that the value function has two different but related representations: by means of…

Probability · Mathematics 2013-02-12 Tomasz Klimsiak , Andrzej Rozkosz

Virtual bidding plays an important role in two-settlement electric power markets, as it can reduce discrepancies between day-ahead and real-time markets. Renewable energy penetration increases volatility in electricity prices, making…

Machine Learning · Computer Science 2024-12-03 Xuesong Wang , Sharaf K. Magableh , Oraib Dawaghreh , Caisheng Wang , Jiaxuan Gong , Zhongyang Zhao , Michael H. Liao

The variance gamma model is a widely popular model for option pricing in both academia and industry. In this paper, we provide a new perspective for pricing European style options for the variance gamma model by deriving closed-form…

Mathematical Finance · Quantitative Finance 2023-06-21 Yuanda Chen , Zailei Cheng , Haixu Wang

This study deals with the problem of pricing compound options when the underlying asset follows a mixed fractional Brownian motion with jumps. An analytic formula for compound options is derived under the risk neutral measure. Then, these…

Pricing of Securities · Quantitative Finance 2019-04-09 Foad Shokrollahi

The aim of this paper is to evaluate geometric Asian option by a mixed fractional subdiffusive Black-Scholes model. We derive a pricing formula for geometric Asian option when the underlying stock follows a time changed mixed fractional…

Pricing of Securities · Quantitative Finance 2017-12-15 Foad Shokrollahi