A stochastic dynamic programming approach for pricing options on stock-index futures

The aim of this thesis is to price options on equity index futures with an application to standard options on S&P 500 futures traded on the Chicago Mercantile Exchange. Our methodology is based on stochastic dynamic programming, which can accommodate European as well as American options. The model accommodates dividends from the underlying asset. It also captures the optimal exercise strategy and the fair value of the option. This approach is an alternative to available numerical pricing methods such as binomial trees, finite differences, and ad-hoc numerical approximation techniques. Our numerical and empirical investigations demonstrate convergence, robustness, and efficiency. We use this methodology to value exchange-listed options. The European option premiums thus obtained are compared to Black's closed-form formula. They are accurate to four digits. The American option premiums also have a similar level of accuracy compared to premiums obtained using finite differences and binomial trees with a large number of time steps. The proposed model accounts for deterministic, seasonally varying dividend yield. In pricing futures options, we discover that what matters is the sum of the dividend yields over the life of the futures contract and not their distribution.

Is Brand Equity an Asset or a Liability in Brand Harm Crisis? Buffering and Amplifying Effects and Contingent Conditions

Brand harm crisis often result in negative consumer responses. This thesis addresses the buffering and amplifying theoretical perspectives of brand equity effects. We theorize that brand equity may interplay with the nature of brand-harm crisis in shaping consumer reactions. Results from focus group studies provide interesting insights into the amplifying and buffering effects. Moreover, research findings from two experiment studies show that brand equity amplifies consumer negative responses in a performance-related crisis but only when the crisis is extremely severe. When the crisis becomes less severe, the amplifying effect diminishes from outset. However, in a value-related crisis, the amplifying effect of brand equity is pervasive regardless of the level of crisis severity. The current thesis adds to the extant literature by demonstrating that brand equity can have very complex effects on consumer responses, which are contingent on the severity and domain of a crisis. Theoretical and managerial implications are discussed.