In this work we apply asymptotic analysis on compound options, American options, Asian options, and variance (or volatility) contracts in the context of stochastic volatility models. Singular perturbations are used mainly. A singular-regular perturbation is applied on Asian option problems....

This thesis focuses on two topics in financial risk management: optimal hedge ratios and portfolio value-at-risk (VaR). The empirical analysis is based on the daily return series for the Taiwan stock market index and two associated futures contracts. The sample period for the daily data covers...