Option pricing based on the generalized lambda distribution
提出用广义lambda分布来刻画非对数正态的证券价格分布,该分布能灵活调整偏度和峰度,适用于蒙特卡洛模拟和期权隐含状态价格密度估计,并开发了多元版本用于相关资产组合的随机建模。
This article proposes the generalized lambda distribution as a tool for modeling nonlognormal security price distributions. Known best as a facile model for generating random variables with a broad range of skewness and kurtosis values, the generalized lambda distribution has potential financial applications, including Monte Carlo simulations, estimations of option-implied state price densities, and almost any situation requiring a flexible density shape. A multivariate version of the generalized lambda distribution is developed to facilitate stochastic modeling of portfolios of correlated primary and derivative securities. © 2001 John Wiley & Sons, Inc. Jrl Fut Mark 21:213–236, 2001