[图书][B] Monte Carlo methods and models in finance and insurance

R Korn, E Korn, G Kroisandt - 2010 - taylorfrancis.com
Offering a unique balance between applications and calculations, Monte Carlo Methods and
Models in Finance and Insurance incorporates the application background of finance and …

Asymptotics beats Monte Carlo: The case of correlated local vol baskets

C Bayer, P Laurence - Communications on Pure and Applied …, 2014 - Wiley Online Library
We consider a basket of options with both positive and negative weights in the case where
each asset has a smile, ie, evolves according to its own local volatility and the driving …

Control variates and conditional Monte Carlo for basket and Asian options

KD Dingeç, W Hörmann - Insurance: Mathematics and Economics, 2013 - Elsevier
A new, very efficient and fairly simple simulation method for European basket and Asian
options under the geometric Brownian motion assumption is presented. It is based on a new …

Accurate closed‐form approximation for pricing Asian and basket options

J Zhou, X Wang - Applied stochastic models in business and …, 2008 - Wiley Online Library
By approximating the distribution of the sum of correlated lognormals with some log‐
extended‐skew‐normal distribution, we present closed‐form approximation formulae for …

Pricing and hedging basket options with exact moment matching

A Leccadito, T Paletta, R Tunaru - Insurance: Mathematics and Economics, 2016 - Elsevier
Theoretical models applied to option pricing should take into account the empirical
characteristics of financial time series. In this paper, we show how to price basket options …

Static hedging of multivariate derivatives by simulation

P Pellizzari - European Journal of Operational Research, 2005 - Elsevier
We propose an approximate static hedging procedure for multivariate derivatives. The
hedging portfolio is composed of statically held simple univariate options, optimally …

An extension of the chaos expansion approximation for the pricing of exotic basket options

H Funahashi, M Kijima - Applied Mathematical Finance, 2014 - Taylor & Francis
Funahashi and Kijima (in press, A chaos expansion approach for the pricing of contingent
claims, Journal of Computational Finance) have proposed an approximation method based …

Variance and dimension reduction Monte Carlo method for pricing European multi-asset options with stochastic volatilities

Y Liang, X Xu - Sustainability, 2019 - mdpi.com
Pricing multi-asset options has always been one of the key problems in financial
engineering because of their high dimensionality and the low convergence rates of pricing …

多因子欧式期权定价的主成分蒙特卡罗加速方法

梁义娟, 徐承龙, 马俊美 - 西南大学学报(自然科学版), 2018 - xbgjxt.swu.edu.cn
针对多个随机因子的欧式期权定价问题, 提出了一种基于主成分分析的多元控制变量的蒙特卡罗
加速框架. 其核心思想是, 使用单个主成分替换收益函数中的原始随机变量以便更易获得定价 …

Pricing options on stocks denominated in different currencies: Theory and illustrations

ACY Ng, JSH Li, WS Chan - The North American Journal of Economics and …, 2013 - Elsevier
Basket options have long been an important structured product. One can write a basket
option on assets denominated in different currencies, but settle the option in one single …