Consider a d-dimensional Brownian motion X (Xl, ... ,Xd ) and a function F which belongs locally to the Sobolev space W 1,2. We prove an extension of Ito's formula where the usual second order terms are replaced by the quadratic covariations [fk(X), Xkj involving the weak first partial...

This paper characterizes the probability of a market failure defined as the default of two or more globally systemically important banks (G-SIBs) in a small interval of time. The default probabilities of the G-SIBs are correlated through the possible existence of a market-wide stress event. The...

This paper derives a generalized multiple-factor asset pricing model using only the assumptions of the existence of an equivalent martingale measure, frictionless, and competitive markets. As such, all existing multiple-factor asset pricing models, including the intertermporal CAPM and Ross'...

We combine both a mathematical analysis of financial bubbles and a statistical procedure for determining when a given stock is in a bubble, with an analysis of a large data set, in order to compute the empirical distribution of the lifetime of financial bubbles. We find that it follows a...

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

Microlending, where a bank lends to a small group of people without credit histories, began with the Grameen Bank in Bangladesh, and is widely seen as the creation of Muhammad Yunus, who received the Nobel Peace Prize in recognition of his largely successful efforts. Since that time the model of...

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...