"This dissertation is a collection of three essays that delve into the econometrics of option pricing. The primary objective of these essays is to develop and deploy diverse econometric techniques that enable the accurate extraction of valuable information embedded in option prices. Chapter 2 investigates jump contagion between international stock markets using options data. It introduces a multivariate option pricing model that assesses the contagious effects of market shocks. Chapter 3 tackles the challenge of estimating continuous-time option pricing models. It proposes a new filtering and estimation method for affine jump-diffusion models, enhancing computational efficiency and implementation ease. Finally, Chapter 4 develops a unified framework for non-parametric estimation of risk-neutral densities, option prices, and option sensitivities."--

This dissertation includes three essays on investments and time series econometrics. This work gives new insight into the behavior of implied marginal tax rates, implied volatility, and option pricing models. The first essay examines the movement of implied marginal tax rates. A body of research points to the existence of implied marginal tax rates that can be extracted from security or derivative prices. We use the LIBOR-based interest rate swap curve and the MSI-based interest rate swap curve to examine changes in the implied tax rate. We document multiple statistically and economically significant structural breaks in the long-run implied marginal tax rate that are not exclusively located in the financial crisis (one as recent as October, 2010). These breaks represent persistent divergence from long run averages and indicate that mean reversion models may not accurately describe the stochastic processes of implied marginal tax rates. In the second essay, I develop an asymmetric time series model of the VIX. I show that the VIX and realized volatility display significant nonlinear effects which I approximate with a smooth-transition autoregressive model. I find that under certain regimes the VIX depends almost exclusively on previous realized volatility. Under other regimes, I find that the VIX depends on both its lags and previous realized volatility. Since the VIX has become a popular hedging instrument, this finding has important implications for risk managers who elect to use the VIX and its related investment vehicles. It also has implications for the use of implied volatility in value-at-risk forecasting. The third essay presents a new model for option pricing model selection. There is a significant performativity issue intrinsic in much of the option pricing literature. Once an option-pricing model (OPM) gains widespread acceptance, volatilities tend to move so that the OPM fits well with observed prices. This often leads to systematic mispricing based purely on model results. A number of systematic issues such as volatility smile are present in OPMs. To remedy this issue, I propose a new method for ranking OPMs based on one step ahead forecasts. This model transforms the data to build a distribution of the stochastic term present in OPM. This sample distribution is then tested for normality so that OPMs can be ranked in a Bayesian-like framework by their closeness to a normal distribution.

A volume that celebrates and develops the work of Nobel Laureate Robert Engle, it includes original contributions from some of the world's leading econometricians that further Engle's work in time series economics

This book reflects the state of the art on nonlinear economic dynamics, financial market modelling and quantitative finance. It contains eighteen papers with topics ranging from disequilibrium macroeconomics, monetary dynamics, monopoly, financial market and limit order market models with boundedly rational heterogeneous agents to estimation, time series modelling and empirical analysis and from risk management of interest-rate products, futures price volatility and American option pricing with stochastic volatility to evaluation of risk and derivatives of electricity market. The book illustrates some of the most recent research tools in these areas and will be of interest to economists working in economic dynamics and financial market modelling, to mathematicians who are interested in applying complexity theory to economics and finance and to market practitioners and researchers in quantitative finance interested in limit order, futures and electricity market modelling, derivative pricing and risk management.