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In the paper, the pricing of Quanto options is studied, where the underlying foreign asset and the exchange rate are correlated with each other. Firstly, we adopt Bayesian methods to estimate unknown parameters entering the pricing formula…

计算金融 · 定量金融 2019-10-10 Lisha Lin , Yaqiong Li , Rui Gao , Jianhong Wu

In the paper we consider the problem of valuation of American options written on dividend-paying assets whose price dynamics follow the classical multidimensional Black and Scholes model. We provide a general early exercise premium…

概率论 · 数学 2016-03-01 Tomasz Klimsiak , Andrzej Rozkosz

Exponential functionals of Brownian motion have been extensively studied in financial and insurance mathematics due to their broad applications, for example, in the pricing of Asian options. The Black-Scholes model is appealing because of…

证券定价 · 定量金融 2016-10-04 Runhuan Feng , Alexey Kuznetsov , Fenghao Yang

An efficient computational algorithm to price financial derivatives is presented. It is based on a path integral formulation of the pricing problem. It is shown how the path integral approach can be worked out in order to obtain fast and…

统计力学 · 物理学 2009-11-07 G. Montagna , O. Nicrosini , N. Moreni

We build a sequence of empirical measures on the space D(R_+,R^d) of R^d-valued c\`adl\`ag functions on R_+ in order to approximate the law of a stationary R^d-valued Markov and Feller process (X_t). We obtain some general results of…

概率论 · 数学 2011-05-31 Gilles Pagès , Fabien Panloup

Developments in finance industry and academic research has led to innovative financial products. This paper presents an alternative approach to price American options. Our approach utilizes famous \cite{heath1992bond} ("HJM") technique to…

数理金融 · 定量金融 2021-09-13 Kushantha Fernando , Vajira Manathunga

This article present a continuous cascade model of volatility formulated as a stochastic differential equation. Two independent Brownian motions are introduced as random sources triggering the volatility cascade. One multiplicatively…

统计金融 · 定量金融 2020-10-26 Jun-ichi Maskawa , Koji Kuroda

We consider the problem of optimal bidding for virtual trading in two-settlement electricity markets. A virtual trader aims to arbitrage on the differences between day-ahead and real-time market prices; both prices, however, are random and…

计算机科学与博弈论 · 计算机科学 2018-08-02 Sevi Baltaoglu , Lang Tong , Qing Zhao

We discuss the class of "Quadratic Normal Volatility" models, which have drawn much attention in the financial industry due to their analytic tractability and flexibility. We characterize these models as the ones that can be obtained from…

证券定价 · 定量金融 2013-03-19 Peter Carr , Travis Fisher , Johannes Ruf

We propose a fast and accurate numerical method for pricing European swaptions in multi-factor Gaussian term structure models. Our method can be used to accelerate the calibration of such models to the volatility surface. The pricing of an…

数理金融 · 定量金融 2018-03-26 Jaehyuk Choi , Sungchan Shin

We study the valuation and hedging problem of European options in a market subject to liquidity shocks. Working within a Markovian regime-switching setting, we model illiquidity as the inability to trade. To isolate the impact of such…

证券定价 · 定量金融 2014-09-10 Michael Ludkovski , Qunying Shen

We statistically analyse a multivariate HJM diffusion model with stochastic volatility. The volatility process of the first factor is left totally unspecified while the volatility of the second factor is the product of an unknown process…

统计理论 · 数学 2019-06-07 Olivier Féron , Pierre Gruet , Marc Hoffmann

The paper discusses a path-wise approach to stock price modelling.

概率论 · 数学 2007-05-23 Rimas Norvaisa

In this paper we study recent developments in the approximation of the spread option pricing. As the Kirk\'s Approximation is extremely flawed in the cases when the correlation is very high, we explore a recent development that allows…

证券定价 · 定量金融 2018-12-13 Suren Harutyunyan , AdriÀ Masip BorrÀs

In this paper we use Bernstein and Chebyshev polynomials to approximate the price of some basket options under a bivariate Black-Scholes model. The method consists in expanding the price of a univariate related contract after conditioning…

证券定价 · 定量金融 2014-04-14 Pablo Olivares

In this paper we present an algorithm for pricing barrier options in one-dimensional Markov models. The approach rests on the construction of an approximating continuous-time Markov chain that closely follows the dynamics of the given…

证券定价 · 定量金融 2015-03-13 Aleksandar Mijatovic , Martijn Pistorius

We consider the problem of ESO valuation in continuous time. In particular, we consider models that assume that an appropriate random time serves as a proxy for anything that causes the ESO's holder to exercise the option early, namely,…

证券定价 · 定量金融 2017-10-04 Kamil Kladivko , Mihail Zervos

Using spectral decomposition techniques and singular perturbation theory, we develop a systematic method to approximate the prices of a variety of options in a fast mean-reverting stochastic volatility setting. Four examples are provided in…

证券定价 · 定量金融 2012-05-15 Jean-Pierre Fouque , Sebastian Jaimungal , Matthew Lorig

The paper proposes a class of financial market models which are based on inhomogeneous telegraph processes and jump diffusions with alternating volatilities. It is assumed that the jumps occur when the tendencies and volatilities are…

证券定价 · 定量金融 2008-12-04 Nikita Ratanov

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…

概率论 · 数学 2014-01-27 Jarno Talponen , Lauri Viitasaari
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