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Adaptive wave model for financial option pricing is proposed, as a high-complexity alternative to the standard Black--Scholes model. The new option-pricing model, representing a controlled Brownian motion, includes two wave-type approaches:…

证券定价 · 定量金融 2010-01-06 Vladimir G. Ivancevic

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…

数理金融 · 定量金融 2018-07-12 Samuel N. Cohen , Martin Tegnér

We investigate methods for pricing American options under the variance gamma model. The variance gamma process is a pure jump process which is constructed by replacing the calendar time by the gamma time in a Brownian motion with drift,…

计算金融 · 定量金融 2022-07-04 Weilong Fu , Ali Hirsa

We apply a utility-based method to obtain the value of a finite-time investment opportunity when the underlying real asset is not perfectly correlated to a traded financial asset. Using a discrete-time algorithm to calculate the…

概率论 · 数学 2008-12-10 M. R Grasselli

In this paper we develop numerical pricing methodologies for European style Exchange Options written on a pair of correlated assets, in a market with finite liquidity. In contrast to the standard multi-asset Black-Scholes framework, trading…

证券定价 · 定量金融 2020-06-16 Kevin S. Zhang , Traian A. Pirvu

We derive the short-maturity asymptotics for prices of options on realized variance in local-stochastic volatility models. We consider separately the short-maturity asymptotics for out-of-the-money and in-the-money options cases. The…

证券定价 · 定量金融 2025-11-19 Dan Pirjol , Xiaoyu Wang , Lingjiong Zhu

Strategic valuation of efficient and well-timed network investments under uncertain electricity market environment has become increasingly challenging, because there generally exist multiple interacting options in these investments, and…

计量经济学 · 经济学 2019-10-22 Yiju Ma , Kevin Swandi , Archie Chapman , Gregor Verbic

This paper concerns a local volatility model in which volatility takes two possible values, and the specific value depends on whether the underlying price is above or below a given threshold value. The model is known, and a number of…

数理金融 · 定量金融 2024-05-17 Alexander Gairat , Vadim Shcherbakov

The aim of this paper is to present a simple stochastic model that accounts for the effects of a long-memory in volatility on option pricing. The starting point is the stochastic Black-Scholes equation involving volatility with long-range…

其他凝聚态物理 · 物理学 2008-12-02 Sergei Fedotov , Abby Tan

In this paper, a pricing formula for volatility swaps is delivered when the underlying asset follows the stochastic volatility model with jumps and stochastic intensity. By using Feynman-Kac theorem, a partial integral differential equation…

证券定价 · 定量金融 2018-05-21 Ben-zhang Yang , Jia Yue , Ming-hui Wang , Nan-jing Huang

In this paper we analyse the five-factor capital market model of Munk et al.(2004). The model features a Vasicek interest rate model, an equity index with mean-reverting excess return and an index for realized inflation with mean-reverting…

数理金融 · 定量金融 2022-01-14 Søren Fiig Jarner , Michael Preisel

We present an adaptive approach for valuing the European call option on assets with stochastic volatility. The essential feature of the method is a reduction of uncertainty in latent volatility due to a Bayesian learning procedure. Starting…

其他凝聚态物理 · 物理学 2008-12-02 Sergei Fedotov , Stephanos Panayides

We find the variance-optimal equivalent martingale measure when multivariate assets are modeled by a regime-switching geometric Brownian motion, and the regimes are represented by a homogeneous continuous time Markov chain. Under this new…

概率论 · 数学 2023-09-14 Bruno Remillard , Sylvain Rubenthaler

Volatility modelling has become a significant area of research within Financial Mathematics. Wiener process driven stochastic volatility models have become popular due their consistency with theoretical arguments and empirical observations.…

证券定价 · 定量金融 2009-04-14 Sovan Mitra

We consider option pricing using a discrete-time Markov switching stochastic volatility with co-jump model, which can model volatility clustering and varying mean-reversion speeds of volatility. For pricing European options, we develop a…

证券定价 · 定量金融 2020-06-29 Michael C. Fu , Bingqing Li , Rongwen Wu , Tianqi Zhang

Quantum computers are not yet up to the task of providing computational advantages for practical stochastic diffusion models commonly used by financial analysts. In this paper we introduce a class of stochastic processes that are both…

量子物理 · 物理学 2023-11-03 Eric Ghysels , Jack Morgan , Hamed Mohammadbagherpoor

We study a market model in which the volatility of the stock may jump at a random time from a fixed value to another fixed value. This model was already described in the literature. We present a new approach to the problem, based on partial…

统计力学 · 物理学 2008-12-02 Miquel Montero

This paper studies the pricing problem in which the underlying asset follows a non-Markovian stochastic volatility model. Classical partial differential equation methods face significant challenges in this context, as the option prices…

数理金融 · 定量金融 2026-05-29 Jingtang Ma , Xianglin Wu , Wenyuan Li

We consider a method of lines (MOL) approach to determine prices of European and American exchange options when underlying asset prices are modelled with stochastic volatility and jump-diffusion dynamics. As the MOL, as with any other…

计算金融 · 定量金融 2021-06-15 Len Patrick Dominic M. Garces , Gerald H. L. Cheang

In the evolving domain of cryptocurrency markets, accurate token valuation remains a critical aspect influencing investment decisions and policy development. Whilst the prevailing equation of exchange pricing model offers a quantitative…

计算工程、金融与科学 · 计算机科学 2024-03-11 Stylianos Kampakis , Melody Yuan , Oritsebawo Paul Ikpobe , Linas Stankevicius