The long memory characteristic of financial market volatility is well documentedand has important implications for volatility forecasting and optionpricing. When fitted to the same data, different volatility models calculate theunconditional variance differently and could have very different...

This paper develops a closed form risk-neutral valuation model for pricing Europeanstyle options when the underlying has a mixture of transformed-normaldistributions. Specifically, we introduce the mixture of g distributions, which containsthe mixture of normal and lognormal distributions as a...

The gamma class of distributions encompasses several important distributionseither as special or limiting cases, or through simple transformations. In this paper,we established the link between the real and the risk neutral distributions, andprovided a formal proof for the existence of the risk...