This paper proposes the sample path generation method for the stochastic volatility version of the CGMY process. We …

stochastic volatility and jumps are present. …

volatility. Many exotics are priced in a local volatility framework. Pricing under local volatility has become a field of … that assumes a constant volatility. The Johannesburg Stock Exchange (JSE) lists exotic options on its Can-Do platform. Most … exotic options listed on the JSE’s derivative exchanges are valued by local volatility models. These models needs a local …

This paper develops a test that helps assess whether the term structure of option implied volatility is constant across … "volatility smile" and an additive quadratic time effect is a statistically adequate depiction of the implied volatility data for … most years. The constancy of implied volatility term structure, in turn, implies that option traders shall feel confident …

use of computational methods and techniques for modelling financial asset prices, returns, and volatility, and on the use …

volatility model, such as the Heston model, has not been reported at all. Adopting the method of matched asymptotic expansions … volatility near expiry. Through our analyses, we are able to show that the option price will be quite different from that … the constant volatility case if the spot volatility is given the same value as the constant volatility in the Black …

options prices under Heston's stochastic volatility (SV) model. We demonstrate that under a particular reparametrization, this … volatility 'smile', which indicates a likely distortion in the Black-Scholes modeling of such option data. Reflective of entirely … different market expectations, this distortion in the volatility 'smile' appears not to exist in the TLT option data. We provide …