Three years after the seminal work of Black and Scholes on the pricing of European options, Scholes presented a paper in which the impact of taxation on the value of an option is analyzed. We restart this discussion in a simple binomial setting emphasizing the economic principles of replicating...

The main goal of this dissertation was to obtain an understanding as to the true economic nature of employee share options and the problems surrounding the accounting thereof.The main conclusion of this study is that employee share options should be expensed in the income statement as and when...

Popular ways of hedging downside risk of a stock portfolio is by means of a constant proportion portfolio insurance (CPPI) strategy or by means of an options-based portfolio insurance strategy (OBPI). However both have drawbacks in terms of practical applicability given transaction costs....

Hedging down-and-out puts (and up-and-out calls), where the maximum payoff is reached just before a barrier is hit that would render the claim worthless afterwards, is challenging. All hedging methods potentially lead to large errors when the underlying is already close to the barrier and the...

In modelling financial derivatives, the pricing of barrier options are complicated as a result of their path-dependency and discontinuous payoffs. In the case of rebate knock-out barrier options, discount factors known as rebates are introduced, which are payable to the option holder when the...

Binomial trees are very popular in both theory and applications of option pricing. As they often suffer from an irregular convergence behavior, improving this is an important task. We build upon a new version of the Edgeworth expansion for lattice models to construct new and quickly converging...