Limited arbitrage between equity and credit markets

We document that short-horizon pricing discrepancies across firms' equity and credit markets are common and that an economically significant proportion of these are anomalous, indicating a lack of integration between the two markets. Proposing a statistical measure of market integration, we investigate whether equity–credit market integration is related to impediments to arbitrage. We find that time variation in integration across a firm's equity and credit markets is related to firm-specific impediments to arbitrage such as liquidity in equity and credit markets and idiosyncratic risk. Our evidence provides a potential resolution to the puzzle of why Merton model hedge ratios match empirically observed stock-bond elasticities (Schaefer and Strebulaev, 2008) and yet the model is limited in its ability to explain the integration between equity and credit markets (Collin-Dufresne, Goldstein, and Martin, 2001).     

Price discovery and persistent arbitrage violations in credit markets

This paper investigates price violations in credit markets using a data sample spanning from 2002 to 2016. We find that price violations are highly persistent during the crisis period, particularly for speculative-grade bonds. There is evidence that price distortions and market disintegration are linked to market-wide and firm-level impediments to arbitrage and limited capital provision. Higher firm-level impediments to arbitrage lead to less market integration, and more severe and persistent pricing discrepancies. Moreover, we find that the negative CDS basis persists in the postcrisis period, which is attributable to dealers’ lower capital commitment and deterioration in market-making quality.     

Model-driven statistical arbitrage on LETF option markets

In this paper, we study the statistical properties of the moneyness scaling transformation, which adjusts the moneyness coordinate of the implied volatility smile in an attempt to remove the discrepancy between the IV smiles for levered and unlevered ETF options. We construct bootstrap uniform confidence bands which indicate that the implied volatility smiles are statistically different after moneyness scaling has been performed. An empirical application shows that there are trading opportunities possible on the LETF market. A statistical arbitrage type strategy based on a dynamic semiparametric factor model is presented. This strategy presents a statistical decision algorithm which generates trade recommendations based on comparison of model and observed LETF implied volatility surface. It is shown to generate positive returns with a high probability. Extensive econometric analysis of the LETF implied volatility process is performed including out-of-sample forecasting based on a semiparametric factor model and a uniform confidence bands' study. These provide new insights into the latent dynamics of the implied volatility surface. We also incorporate Heston stochastic volatility into the moneyness scaling method for better tractability of the model.     

Relative arbitrage in volatility-stabilized markets

Summary. We provide simple, easy-to-test criteria for the existence of relative arbitrage in equity markets. These criteria postulate essentially that the excess growth rate of the market portfolio, a positive quantity that can be estimated or even computed from a given market structure, be sufficiently large. We show that conditions which satisfy these criteria are manifestly present in the U.S. equity market. We then construct examples of abstract markets in which the criteria hold. These abstract markets allow us to isolate conditions similar to those prevalent in actual markets, and to construct explicit portfolios under these conditions. We study in some detail a specific example of an abstract market which is volatility-stabilized, in that the return from the market portfolio has constant drift and variance rates while the smallest stocks are assigned the largest volatilities. A rather interesting probabilistic structure emerges, in which time changes and the asymptotic theory for planar Brownian motion play crucial roles. The largest stock and the overall market grow at the same, constant rate, though individual stocks fluctuate widely.We are indebted to Adrian Banner and Constantinos Kardaras for several helpful discussions; in particular, the computation of (4.27) is due to Adrian Banner. We are also grateful to Professors Chris Rogers and Marc Yor for their expert advice on the subject of planar Brownian motion, and to Professor Peter Bank for an observation that helped us correct an error in an earlier version of the paper.This revised version was published online in January 2005 with corrections to the Cover date.     

An improved test for statistical arbitrage

We improve upon the power of the statistical arbitrage test in Hogan, Jarrow, Teo, and Warachka (2004). Our methodology also allows for the evaluation of return anomalies under weaker assumptions. We then compare strategies based on their convergence rates to arbitrage and identify strategies whose probability of a loss declines to zero most rapidly. These strategies are preferred by investors with finite horizons or limited capital. After controlling for market frictions and examining convergence rates to arbitrage, we find that momentum and value strategies offer the most desirable trading opportunities.     

Trading and arbitrage in cryptocurrency markets

Cryptocurrency markets exhibit periods of large, recurrent arbitrage opportunities across exchanges. These price deviations are much larger across than within countries, and smaller between cryptocurrencies, highlighting the importance of capital controls for the movement of arbitrage capital. Price deviations across countries co-move and open up in times of large bitcoin appreciation. Countries with higher bitcoin premia over the US bitcoin price see widening arbitrage deviations when bitcoin appreciates. Finally, we decompose signed volume on each exchange into a common and an idiosyncratic component. The common component explains 80% of bitcoin returns. The idiosyncratic components help explain arbitrage spreads between exchanges.     

Short-term relative arbitrage in volatility-stabilized markets

We answer in the affirmative the following open question posed in Fernholz and Karatzas (Ann Finance 1:149–177, 2005): do there exist relative arbitrage opportunities over arbitrarily short time horizons in the context of certain volatility-stabilized market models?     

Asymptotic arbitrage in large financial markets

A large financial market is described by a sequence of standard general models of continuous trading. It turns out that the absence of asymptotic arbitrage of the first kind is equivalent to the contiguity of sequence of objective probabilities with respect to the sequence of upper envelopes of equivalent martingale measures, while absence of asymptotic arbitrage of the second kind is equivalent to the contiguity of the sequence of lower envelopes of equivalent martingale measures with respect to the sequence of objective probabilities. We express criteria of contiguity in terms of the Hellinger processes. As examples, we study a large market with asset prices given by linear stochastic equations which may have random volatilities, the Ross Arbitrage Pricing Model, and a discrete-time model with two assets and infinite horizon. The suggested theory can be considered as a natural extension of Arbirage Pricing Theory covering the continuous as well as the discrete time case.     

Diversity and relative arbitrage in equity markets

An equity market is called diverse if no single stock is ever allowed to dominate the entire market in terms of relative capitalization. In the context of the standard Itô-process model initiated by Samuelson (1965) we formulate this property (and the allied, successively weaker notions of weak diversity and asymptotic weak diversity) in precise terms. We show that diversity is possible to achieve, but delicate. Several examples are provided which illustrate these notions and show that weakly-diverse markets contain relative arbitrage opportunities: it is possible to outperform or underperform such markets over any given time-horizon. The existence of this type of relative arbitrage does not interfere with the development of contingent claim valuation, and has consequences for the pricing of long-term warrants and for put-call parity. Several open questions are suggested for further study.Received: January 2004, Mathematics Subject Classification (2000): 60H10, 91B28; 60J55JEL Classification: G10We are grateful for the helpful remarks offered by seminar audiences at Columbia, Yale, Princeton, the Sloan School of MIT, Boston University, the Mathematical Institute in Oberwolfach, and the Universities of Athens, Connecticut/Storrs and Texas/Austin. Special thanks go to Professors Jérôme Detemple, Julien Hugonnier, Ralf Korn, Andrew Lo, Mark Lowenstein and Steven Shreve. We are also indebted to Dr. Adrian Banner for a number of discussions that helped sharpen our thinking about these problems, and to the referees and editors for suggestions that improved the exposition. A significant part of this work was completed in the spring semester of 2002, while the second author was on sabbatical leave at the Cowles Foundation for Research in Economics, Yale University. He is grateful to the Foundation for its hospitality.     

Value investing in credit markets

We outline a parsimonious empirical model to assess the relative usefulness of accounting- and equity market-based information to explain corporate credit spreads. The primary determinant of corporate credit spreads is the physical default probability. We compare existing accounting-based and market-based models to forecast default. We then assess whether the credit market completely incorporates this default information into credit spreads. We find that credit spreads reflect information about forecasted default rates with a significant lag. This unique evidence suggests a role for value investing in credit markets.     

Unsecured credit markets are not insurance markets

We study the extent to which unsecured credit markets have altered the transmission of increased income risk to consumption variability over the past several decades. We find that unsecured credit markets pass through increased income risk to consumption, irrespective of bankruptcy policy and the information possessed by lenders. If risk sharing has indeed improved over this period, the reasons do not therefore lie in the unsecured credit market.     

A note on the no arbitrage condition for international financial markets

We consider an international financial market model that consists ofN currencies. The purpose is to derive a no arbitrage condition which is not affected by the choice of numéraire between theN currencies. As a result, we show that a finiteness condition for an arbitrary chosen currency and the no arbitrage condition for the basket currency are necessary and sufficient for the no arbitrage property of all theN currencies. Research supported in part by Nomura Foundation for Social Science and by the European Community Stimulation Plan for Economic Science contract Number SPES-CT91-0089. The authors thank an anonymous FEJM referee for helpful comments.     

Stock index futures arbitrage in emerging markets: Polish evidence

The efficiency of the market for stock index futures and profitability of arbitrage for contracts on the Warsaw Stock Exchange Index WIG20 is studied in this paper. The Polish market has unique attributes: in a relatively short time the risk-free interest rate has decreased significantly, short sale cannot be used to construct an arbitrage position by institutional investors, and the dividends are small and paid in an irregular manner. Examining intraday transaction data shows that ex post and ex ante violations for short arbitrage reveal almost all properties of a mature market. Nonetheless, findings for long arbitrage indicate inefficiency of the market.     

On the nature of credit demand and credit rationing in competitive credit markets

Conventional analyses of the credit rationing problem seek to explain that problem within the context of classic demand analysis. In this paper we demonstrate that it is generally inappropriate to apply the notion of classic demand to credit markets, consequently, conventional notions of credit rationing must be rejected. In providing a new definition of credit rationing we also establish the previously rejected characterized by credit rationing.     

Triangular arbitrage in the spot and forward foreign exchange markets

Imad Moosa shows that the effect of triangular arbitrage in the forward market is similar to the combined effect of triangular arbitrage in the spot market and covered interest arbitrage. He also shows that when the forward rates are inconsistent then this implies inconsistency of the spot rates and/or the violation of covered interest parity. When the bid-offer spreads are allowed for, the equilibrium conditions hold only approximately.     

Bilateral credit valuation adjustment for large credit derivatives portfolios

We obtain an explicit formula for the bilateral counterparty valuation adjustment of a credit default swaps portfolio referencing an asymptotically large number of entities. We perform the analysis under a doubly stochastic intensity framework, allowing default correlation through a common jump process. The key insight behind our approach is an explicit characterization of the portfolio exposure as the weak limit of measure-valued processes associated with survival indicators of portfolio names. We validate our theoretical predictions by means of a numerical analysis, showing that counterparty adjustments are highly sensitive to portfolio credit risk volatility as well as to the intensity of the common jump process.     

Rating model arbitrage in CDO markets: An empirical analysis

We analyze whether information asymmetry between issuers and investors leads to rating model arbitrage in Collateralized Debt Obligation markets. Rating model arbitrage is defined as the issuer's deliberate capitalization of information asymmetry at the investor's cost on the basis of different rating processes. Using data from CDO transactions grouped by both rating agencies and underlying rating methodologies, we test for homogeneity of characteristic transaction features within the group and heterogeneity between the different groups. We find that the hypothesis stating non-existence of rating model arbitrage on the basis of information asymmetry does not hold as individual patterns of transaction characteristics within each group could be identified.     

Stock markets,credit markets,and technology-led growth

The high-tech sector accounts for the majority of corporate innovation in modern economies. In a sample of 38 countries, we document a strong positive relation between the initial size of the country's high-tech sector and subsequent rates of GDP and total factor productivity growth. We also find a strong positive connection between a country's equity (but not credit) market development and the size of its high-tech sector. Our main difference-in-differences estimates show that better developed stock markets support faster growth of innovative-intensive, high-tech industries. The main channels for this effect are higher rates of productivity and faster growth in the number of new high-tech firms. Credit market development fosters growth in industries that rely on external finance for physical capital accumulation but is unimportant for growth in innovation-intensive industries. These findings show that stock markets and credit markets play important but distinct roles in supporting economic growth. Stock markets are uniquely suited for financing technology-led growth, a particularly important concern for advanced economies.