In this work we develop a methodology to reduce the variance when applying Monte Carlo simulation to the pricing of a European, American or Barrier option in a stochastic volatility environment. We begin by presenting some applicable concepts in the theory of stochastic differential equations....

Of the five finalists, the winning team included Siddharth Coelho-Prabhu, Arpit Dharia, Akshay Kotak, Jason Kumar, Shyam Mehta, and Ranjini Ragunathan with adviser John Vande Vate who worked on a project with Intel titled, Designing Cost-Effective Distribution Strategies for Intel's Proposed...

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...

The financial crisis of 2007-2008 led to extraordinary government intervention in firms and markets. The scope and depth of government action rivaled that of the Great Depression. Many traded markets experienced dramatic declines in liquidity leading to the existence of conditions normally...