Recursive contracts

We obtain a recursive formulation for a general class of contractingproblems involving incentive constraints. Under these constraints,the corresponding maximization (sup) problems fails to have arecursive solution. Our approach consists of studying the Lagrangian.We show that, under standard assumptions, the solution to theLagrangian is characterized by a recursive saddle point (infsup)functional equation, analogous to Bellman's equation. Our approachapplies to a large class of contractual problems. As examples, westudy the optimal policy in a model with intertemporal participationconstraints (which arise in models of default) and intertemporalcompetitive constraints (which arise in Ramsey equilibria).

Enforcement problems and secondary markets

There is a large and growing literature that studies the effects of weak enforcement institutions on economic performance. This literature has focused almost exclusively on primary markets, in which assets are issued and traded to improve the allocation of investment and consumption. The general conclusion is that weak enforcement institutions impair the workings of these markets, giving rise to various inefficiencies.But weak enforcement institutions also create incentives to develop secondary markets, in which the assets issued in primary markets are retraded. This paper shows that trading in secondary markets counteracts the effects of weak enforcement institutions and, in the absence of further frictions, restores efficiency.

The role of institutions in the contractual process

Human beings increase their productivity by specializingtheir resources and exchanging their products. Theorganization of exchange is costly, however, becausespecialized activities need coordination and incentiveshave to be aligned. This work first describes how theseexchanges are organized in an institutional environment.It then focuses on the dual effect of this environment-as with any other specialized resource, institutions maybe used for expropriation purposes. They enjoyspecialization advantages in safeguarding exchange butthey also make possible new forms of opportunism,causing new costs of exchange. Three perverse tendenciesare identified:In the legal field, there is a surplus ofmandatory rules and, at the same time, a deficit in default rules. Second, courts activity is biased againstthe quasi-judicial role of the parties and the market. Third, Market enforcement is based on reputationalassets that are badly exposed to opportunism.

Debt sustainability in historical perspective: The role of fiscal repression

This article examines the debt history of two contenders for European hegemony: 16th-centurySpain and 18th-century Britain. We analyze their fiscal behavior using measures of overborrowingand fiscal policy functions. Our results suggest that stringency was not key for Britain ssuccess in avoiding default. Instead, fiscal repression allowed the United Kingdom to borrowat below-market rates, thereby outspending its continental rivals.

On the relevance of modeling volatility for pricing purposes

This paper presents a two-factor (Vasicek-CIR) model of the term structure of interest rates and develops its pricing and empirical properties. We assume that default free discount bond prices are determined by the time to maturity and two factors, the long-term interest rate and the spread. Assuming a certain process for both factors, a general bond pricing equation is derived and a closed-form expression for bond prices is obtained. Empirical evidence of the model's performance in comparisson with a double Vasicek model is presented. The main conclusion is that the modeling of the volatility in the long-term rate process can help (in a large amount) to fit the observed data can improve - in a reasonable quantity - the prediction of the future movements in the medium- and long-term interest rates. However, for shorter maturities, it is shown that the pricing errors are, basically, negligible and it is not so clear which is the best model to be used.

Sovereign risk and secondary markets

Conventional wisdom views the problem of sovereign risk as one of insufficient penalties.Foreign creditors can only be repaid if the government enforces foreign debts. And this will onlyhappen if foreign creditors can effectively use the threat of imposing penalties to the country.Guided by this assessment of the problem, policy prescriptions to reduce sovereign risk havefocused on providing incentives for governments to enforce foreign debts. For instance, countriesmight want to favor increased trade ties and other forms of foreign dependence that make themvulnerable to foreign retaliation thereby increasing the costs of default penalties.

How enforcement institutions affect markets

In an experiment we study market outcomes under alternative incentive structures for third-party enforcers. Our transactions resemble an anonymous credit market where lenders can give loans and borrowers can repay them. When borrowers default, judges are free to enforce repayment but are themselves paid differently in each of three treatments. First, paying judges according to lenders votes maximizes surplus and the equality of earnings. In contrast, paying judges according to borrowers votes triggers insufficient enforcement, destroying the market and producing the lowest surplus and the most unequal distribution of earnings. Lastly, judges paid the average earnings of borrowers and lenders achieve results close to those based on lender voting. We employ a steps-of-reasoning argument to interpret the performances of different institutions. When voting and enforcement rights are allocated to different classes of actors, the difficulty of their task changes, and arguably as a consequence they focus on high or low surplus equilibria.

Trade credit: Suppliers as debt collectors and insurance providers

There are two fundamental puzzles about trade credit: why does it appearto be so expensive,and why do input suppliers engage in the business oflending money? This paper addresses and answers both questions analysingthe interaction between the financial and the industrial aspects of thesupplier-customer relationship. It examines how, in a context of limitedenforceability of contracts, suppliers may have a comparative advantageover banks in lending to their customers because they hold the extrathreat of stopping the supply of intermediate goods. Suppliers may alsoact as lenders of last resort, providing insurance against liquidityshocks that may endanger the survival of their customers. The relativelyhigh implicit interest rates of trade credit result from the existenceof default and insurance premia. The implications of the model areexamined empirically using parametric and nonparametric techniques on apanel of UK firms.

The overhang hangover

We revisit the debt overhang question. We first use non-parametric techniques to isolate a panel of countries on the downward sloping section of a debt Laffer curve. In particular, overhang countries are ones where a threshold level of debt is reached in sample, beyond which (initial) debt ends up lowering (subsequent)growth. On average, significantly negative coefficients appear when debt face value reaches 60 percent of GDP or 200 percent of exports, and when its present value reaches 40 percent of GDP or 140 percent of exports. Second, we depart from reduced form growth regressions and perform direct tests of the theory on the thus selected sample of overhang countries. In the spirit of event studies, we ask whether, as overhang level of debt is reached: (i)investment falls precipitously as it should when it becomes optimal to default, (ii) economic policy deteriorates observably, as it should when debt contracts become unable to elicit effort on the part of the debtor, and (iii) the terms of borrowing worsen noticeably, as they should when it becomes optimal for creditors to pre-empt default and exact punitive interest rates. We find a systematic response of investment, particularly when property rights are weakly enforced, some worsening of the policy environment, and a fall in interest rates. This easing of borrowing conditions happens because lending by the private sector virtually disappears in overhang situations, and multilateral agencies step in with concessional rates. Thus, while debt relief is likely to improve economic policy (and especially investment) in overhang countries, it is doubtful that it would ease their terms of borrowing, or the burden of debt.

Serial defaults, serial profits: Returns to sovereign lending in Habsburg Spain, 1566-1600

Philip II of Spain accumulated debts equivalent to 60% of GDP. He also defaulted four times onhis short-term loans, thus becoming the first serial defaulter in history. Contrary to a commonview in the literature, we show that lending to the king was profitable even under worst-casescenario assumptions. Lenders maintained long-term relationships with the crown. Lossessustained during defaults were more than compensated by profits in normal times. Defaultswere not catastrophic events. In effect, short-term lending acted as an insurance mechanism,allowing the king to reduce his payments in harsh times in exchange for paying a premium intranquil periods. © 2010 Elsevier Inc. All rights reserved.

A two-mean reverting-factor model of the term structure of interest rates

This paper presents a two--factor model of the term structure ofinterest rates. We assume that default free discount bond prices aredetermined by the time to maturity and two factors, the long--term interestrate and the spread (difference between the long--term rate and theshort--term (instantaneous) riskless rate). Assuming that both factorsfollow a joint Ornstein--Uhlenbeck process, a general bond pricing equationis derived. We obtain a closed--form expression for bond prices andexamine its implications for the term structure of interest rates. We alsoderive a closed--form solution for interest rate derivatives prices. Thisexpression is applied to price European options on discount bonds andmore complex types of options. Finally, empirical evidence of the model'sperformance is presented.

Credit derivatives in emerging markets

Credit Derivatives are securities that offer protection against credit or default risk ofbonds or loans. The credit derivatives emerging market has grown rapidly and creditderivatives are widely used. This paper describes the emerging credit derivativesmarket structure. The current market activity is analyzed through elementary pricingdynamics and the study of the term structure of default risk. Focusing on theperformance of credit derivatives in stress situation, including legal and market risks,we discuss the potential consequences of a debt restructuring in a large emergingmarket borrower. The contribution of credit derivatives to the risk sharing in emergingmarkets is also examined.

Recreating the South Sea bubble: Lessons from an experiment in financial history

Major bubble episodes are rare events. In this paper, we examine what factors might cause some asset price bubbles to become very large. We recreate, in a laboratory setting, some of the specific institutional features investors in the South Sea Company faced in 1720. Several factors have been proposed as potentially contributing to one of the greatest periods of asset overvaluation in history: an intricate debt-for-equity swap, deferred payment for these shares, and the possibility of default on the deferred payments. We consider which aspect might have had the most impact in creating the South Sea bubble. The results of the experiment suggest that the company?s attempt to exchange its shares for government debt was the single biggest contributor to the stock price explosion, because of the manner in which the swap affected fundamental value. Issuing new shares with only partial payments required, in conjunction with the debt-equity swap, also had a significant effect on the size of the bubble. Limited contract enforcement, on the other hand, does not appear to have contributed significantly.

Relationship and transaction lending in a crisis

We study how relationship lending and transaction lending varyover the business cycle. We develop a model in which relationshipbanks gather information on their borrowers, which allows them toprovide loans for profitable firms during a crisis. Due to the servicesthey provide, operating costs of relationship-banks are higher thanthose of transaction-banks. In our model, where relationship-bankscompete with transaction-banks, a key result is that relationship-banks charge a higher intermediation spread in normal times, butoffer continuation-lending at more favorable terms than transactionbanks to profitable firms in a crisis. Using detailed credit registerinformation for Italian banks before and after the Lehman Brothers'default, we are able to study how relationship and transaction-banksresponded to the crisis and we test existing theories of relationshipbanking. Our empirical analysis confirms the basic prediction of themodel that relationship banks charged a higher spread before the crisis, offered more favorable continuation-lending terms in response tothe crisis, and suffered fewer defaults, thus confirming the informational advantage of relationship banking.

Towards a theory of the credit-risk balance sheet

This article designs what it calls a Credit-Risk Balance Sheet (the risk being that of default by customers), a tool which, in principle, can contribute to revealing, controlling and managing the bad debt risk arising from a company¿s commercial credit, whose amount can represent a significant proportion of both its current and total assets.To construct it, we start from the duality observed in any credit transaction of this nature, whose basic identity can be summed up as Credit = Risk. ¿Credit¿ is granted by a company to its customer, and can be ranked by quality (we suggest the credit scoring system) and ¿risk¿ can either be assumed (interiorised) by the company itself or transferred to third parties (exteriorised).What provides the approach that leads to us being able to talk with confidence of a real Credit-Risk Balance Sheet with its methodological robustness is that the dual vision of the credit transaction is not, as we demonstrate, merely a classificatory duality (a double risk-credit classification of reality) but rather a true causal relationship, that is, a risk-credit causal duality.Once said Credit-Risk Balance Sheet (which bears a certain structural similarity with the classic net asset balance sheet) has been built, and its methodological coherence demonstrated, its properties ¿static and dynamic¿ are studied.Analysis of the temporal evolution of the Credit-Risk Balance Sheet and of its applications will be the object of subsequent works.