After the 2007 credit crisis, nancial bubbles have once again emerged as a topic of current concern. An open problem is to determine in real time whether or not a given asset's price process exhibits a bubble. Due to recent progress in the characterization of asset price bubbles using the...

The martingale theory of price bubbles defines an asset bubble to exist when the asset's price process is a strict local martingale, that is, a local martingale that is not a martingale. Using this definition of a price bubble, for continuous semimartingales, we characterize the conditions under...

The martingale theory of bubbles studies the existence and characterization of asset price bubbles in continuous time and continuous trading economies under both the no arbitrage (no free lunch vanishing risk) and no dominance hypotheses. We review this theory, with an emphasis on understanding...

This paper shows that high frequency trading may play a dysfunctional role in financial markets. Contrary to arbitrageurs who make financial markets more efficient by taking advantage of and thereby eliminating mispricings, high frequency traders can create a mispricing that they unknowingly...

This paper provides asymptotic valuation formulas for credit derivatives on baskets, including synthetic and cash flow CDOs. As such, it provides the link between the "bottom up" and "top down" approaches used for the pricing of these credit risky securities

Jensen's alpha is well-known to be a measure of abnormal performance in the evaluation of securities and portfolios where abnormal performance is defined to be an expected return that exceeds the equilibrium risk adjusted rate. It is also well known that in estimating Jensen's alpha, a non-zero...

This paper studies asset price bubbles in a continuous time model using the local martingale framework. Providing careful definitions of the asset's market and fundamental price, we characterize all possible price bubbles in an incomplete market satisfying the "no free lunch with vanishing risk...

This paper develops a new model for studying foreign currency exchange rate bubbles. The model constructed is a modification of the Martingale-based bubble approach of Jarrow, Protter, and Shimbo [12], [13]. This model generates some new insights into our understanding of exchange rate bubbles...

Jensen's alpha is well-known to be a measure of abnormal performance in the evaluation of securities and portfolios where abnormal performance is defined to be an expected return that exceeds the equilibrium risk adjusted rate. It is also well known that in estimating Jensen's alpha, a non-zero...

We develop a dynamic simulation model for residential home prices in an economy where defaults on residential mortgages negatively affect housing prices and aggregate income. This simulation model enables us to study the impact of subprime defaults on prime borrowers and the impact of various...