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 examines the effect of using different option valuation models to calculatethe fair market value of Executive Stock Options (ESOs) granted to executivedirectors of UK firms. Our key objective is to demonstrate empirically that somecompanies will have greater incentive and benefit from...

We value UK executive stock options (ESOs) as American options that areawarded conditional on the probability of the holders achieving some performancecriteria. Unlike the standard Black and Scholes (BS) model, which is universally usedboth in the literature and practice, this provides a more...

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...

For simple problems (only) in stochastic storage, analytic solutions are available,and although simulation is available for more difficult problems, in many casesthis is impractically slow. A new system of partial dierential equations (PDEs),derived via techniques used to value options in nance,...

This analysis reveals the restricted scope of approaches which utilise arbitrage based arguments toprice contingent claims whose payoffs are determined by the outcome of non-zero-sum valuationgames between financial market participants. Many examples of such model formulations can befound, for...

This paper studies modelling and existence issues for market models of option prices in a continuous-time framework with one stock, one bond and a family of European call options for one fixed maturity and all strikes. After arguing that (classical) implied volatilities are ill-suited for...

This paper derives fundemental arbitrage pricing results in finite dimensions in a simple unified framework using Tucker's theorem of the alternative. Frictionless results plus those with dividends, periodic interest payments, transaction costs, different interest rates for lending and...

The first four conditional moments of the integrated variance implied by the GARCH diffusion process are derived analytically. Based on these moments and on a power series method an analytical approximation formula to price European options under the GARCH diffusion model is obtained. Monte...