Corporate Finance

We introduce the pathwise optimization (PO) method, a new convex optimization procedure to produce upper and lower bounds on the optimal value (the “price”) of a high-dimensional optimal stopping problem. The PO method builds on a dual characterization of optimal stopping problems as optimization problems over the space of martingales, which we dub the martingale duality approach. We demonstrate via numerical experiments that the PO method produces upper bounds of a quality comparable with state-of-the-art approaches, but in a fraction of the time required for those approaches.

Using the 2007–2009 financial crisis as a laboratory, we analyze the transmission of crises to country-industry equity portfolios in 55 countries. We use an asset pricing framework with global and local factors to predict crisis returns, defining unexplained increases in factor loadings as indicative of contagion. We find evidence of systematic contagion from US markets and from the global financial sector, but the effects are very small.

Stock returns around security offering announcements are conditional on firms' self selection into a particular security type. We use a switching regression methodology on a data set of U.S. straight debt, convertible debt, and seasoned equity offerings to estimate counterfactual announcement returns that would be obtained had the same firms instead opted for alternative financing. Our evidence is consistent with firms choosing the financing type with the least negative expected announcement effect.

We consider a trader who aims to liquidate a large position in the presence of an arbitrageur who hopes to profit from the trader's activity. The arbitrageur is uncertain about the trader's position and learns from observed price fluctuations. This is a dynamic game with asymmetric information. We present an algorithm for computing perfect Bayesian equilibrium behavior and conduct numerical experiments. Our results demonstrate that the trader's strategy differs significantly from one that would be optimal in the absence of the arbitrageur.

This paper presents a novel and practical non-parametric approximate dynamic programming (ADP) algorithm that enjoys graceful, dimension-independent approximation and sample complexity guarantees. In particular, we establish both theoretically and computationally that our proposal can serve as a viable replacement to state of the art parametric ADP algorithms, freeing the designer from carefully specifying an approximation architecture. We accomplish this by "kernelizing" a recent mathematical program for ADP (the "smoothed" approximate LP) proposed by Desai et al. (2011).

This paper uses a Pragmatic theory of language (drawn from philosophy and linguistics) to diagnose the causes of excessive financial disclosure and propose a regulatory solution. The diagnosis is that existing disclosure regulations are one sided, effectively encouraging firms to disclose any information that might be relevant, but failing to discourage disclosure of information that adds little to what investors already know.

Collateralized Debt Obligations (CDO) played a key role in the growth of Asset-Backed Security (ABS) issuance between 2004 and 2007 by providing a mechanism for lower-rated ABS to be used as collateral for the creation of AAA securities. Using a database published by Pershing Square Capital Management covering all of the assets underlying 528 CDOs and CDO-Squareds issued from 2005 through 2007 and using rating history and other information from the ABSNet database, we compare the characteristics and performance of ABS observed in a CDO with other ABS not observed in a CDO.

In August 2009 Marvel Entertainment considers a merger with the Walt Disney Company. If Marvel shareholders approve the deal, each Marvel shareholder will receive $30 in cash and 0.7452 shares of Disney per Marvel share, together worth $50 - or a 29 premium over Marvel's stock price at that point in time.

This paper studies the presence of hedge funds in the Chapter 11 process and their effects on bankruptcy outcomes. Hedge funds strategically choose positions in the capital structure where their actions could have a bigger impact on value. Their presence, especially as unsecured creditors, helps balance power between the debtor and secured creditors.