Optimal Martingales and American Option Pricing

Pricing American options is an interesting research topic since there is no analytical solution to value these derivatives. Different numerical methods have been proposed in the literature with some, if not all, either limited to a specific payoff or not applicable to multidimensional cases. Applications of Monte Carlo methods to price American options is a relatively new area that started with Longstaff and Schwartz (2001). Since then, few variations of that methodology have been proposed. The general conclusion is that Monte Carlo estimators tend to underestimate the true option price. The present paper follows Glasserman and Yu (2004b) and proposes a novel Monte Carlo approach, based on designing "optimal martingales" to determine stopping times. We show that our martingale approach can also be used to compute the dual as described in Rogers (2002).

Irish Land Bonds: 1891-1938

This paper introduces a new database on Irish land bonds listed on the Dublin Stock Exchange from 1891 to 1938: it outlines the nature of these bonds and presents data on their size, liquidity and market returns. These government-guaranteed bonds arose during a period when the possibility of Irish secession from the United Kingdom appeared ever more likely, and were used to finance the transfer of land ownership from landlords to tenants in Ireland (North & South). Movements in the prices of these bonds can help to understand how financial markets responded to events in the early economic and political history of the Irish Free State, including Irish partition, Independence, Civil War and de facto default. Understanding these issues has contemporary relevance for regions in Spain (Catalonia, Euskadi), Great Britain (Scotland) and Belgium (Flanders).