Valuing American options is a central problem in option pricing since the early-exercise feature is very common among financial or insurance derivatives products. For high-dimensional American options, Monte Carlo simulation is generally regarded as the only viable approach to price them, and...

For many practitioners and market participants, the valuation of financialderivatives is considered of very high importance as its uses range from arisk management tool, to a speculative investment strategy or capital enhancement. A developing market requires efficient but accurate methods...

Master of Science

With the rapid development of option markets throughout the world, option pricing has become an important field in financial engineering. Among a variety of option pricing models, volatility of underlying asset is associated with risk and uncertainty, and hence is treated as one of the key...

As is well known, the classic Black-Scholes option pricing model assumes that returns follow Brownian motion. It is widely recognized that return processes differ from this benchmark in at least three important ways. First, asset prices jump, leading to non-normal return innovations. Second,...

We develop a simple robust test for the presence of continuous and discontinuous (jump) components in the price of an asset underlying an option. Our test examines the prices of at-the-money and out-of-the-money options as the option maturity approaches zero. We show that these prices converge...

We consider the hedging of derivative securities when the price movement of the underlying asset can exhibit random jumps. Under a one factor Markovian setting, we derive a spanning relation between a long term option and a continuum of short term options. We then apply this spanning relation to...

ENGLISH ABSTRACT: Life insurance and pension funds offer a wide range of products that are invested in a mix ofassets. These portfolios (II), underlying the products, are rebalanced back to predetermined fixedproportions on a regular basis. This is done by selling the better performing assets...

The inaccuracy of the Black-Scholes formula arises from two aspects: the formula is for European options while most real option contracts are American; the formula is based on the assumption that underlying asset prices follow a lognormal distribution while in the real world asset prices cannot...

The importance of weather as a production factor in agriculture is well established long time and a significant portion of yield fluctuations is caused by weather risks. Traditionally, farmers have tried to hedge against unfavorable weather using insurance, such as crop insurance. In recent...