stopping agents from cheating abstract when a principal hires two or more agents to work in a correlated environment each agent s reward will depend on the other s performance unfortunately with just the usual optimal incentive constrained contracts being offered the agents strictly prefer to play equilibrium strategies other than those desired by the principal they cheat however the principal can use a more subtle contractual mechanism to stop them from cheating at no extra cost this mechanism uses one agent to police the other and exploits certain properties of the optimal contracts

bank runs liquidity costs and investment distortions abstract in this paper we extend the diamond and dybvig 1983 model of intermediation to study further the conditions under which bank runs can occur and to consider how private parties might adjust to the existence of bank run equilibria we provide weaker necessary conditions for runs we then characterize how banks respond to the possibility of runs in their design of deposit contracts and investment decisions banks might choose to offer contracts that prevent runs but under some conditions the second best contracts will involve accepting some risk of runs in order to achieve higher expected returns from their investments

network reactions to banking regulations abstract optimal regulatory restrictions on banks have to solve a delicate balance tighter regulations reduce the likelihood of banks distress looser regulations foster the allocation of funds toward productive investments with multiple banks optimal regulation becomes even more challenging banks form partnerships in the interbank lending market in order to face liquidity needs and to meet investment possibilities we show that the interbank network can suddenly collapse when regulations are pushed beyond a critical level with a discontinuous increase in systemic risk as the cross insurance of banks collapses

bank runs and investment decisions revisited we examine how the possibility of a bank run affects the deposit contract offered and the investment decisions made by a competitive bank cooper and ross 1998 have shown that when the probability of a run is small the bank will offer a contract that admits a bank run equilibrium we show that in this case the bank will chose to hold an amount of liquid reserves exactly equal to what withdrawal demand will be if a run does not occur in other words precautionary or excess liquidity will not be held this result allows us to determine how the possibility of a bank run affects the level of illiquid investment chosen by a bank we show that when the cost of liquidating investment early is high the level of investment is decreasing in the probability of a run however when liquidation costs are moderate the level of investment is actually increasing in the probability of a run

temporary boycotts as self fulfilling disruptions of markets abstract this paper demonstrates how equilibrium involving anticipated boycotts and actual boycotts can occur even though consumers are negligible and only care about the price they pay and the timing of purchase the model is a two period durable goods monopoly game with demand uncertainty first a non boycott equilibrium is characterized under regularity assumptions ruling out multiplicative uncertainty there are additional equilibria in which the firm sets a low price in period 0 based on the anticipation that consumers will boycott whenever the price exceeds a threshold also the augmented game with a publicly observed sunspot has equilibria in which boycotts occur on the equilibrium path with positive probability

on avoiding bank runs abstract can bank runs be avoided and should they be avoided i analyze a banking environment where bank runs can occur as a result of negative signals about the bank s investments in this environment banks can make sure that runs do not occur by designing the deposit contract appropriately i show that there are conditions under which it is profit maximizing for the bank to avoid runs and others under which occasional runs are part of optimal bank behavior i also compare the banking arrangement to an arrangement based on trading in equity

exchange rate regimes banking and the non tradable sector abstract this paper presents a small open economy two good version of the diamond and dybvig model with cash constraints to analyze the implications on banking of different exchange rate regimes and monetary policies i show that fixed exchange rates with a central bank providing liquidity in local currency imply pareto efficiency with conditions for a run equilibrium stronger than in the literature in a flexible exchange rate regime multiple equilibria may not be eliminated in particular for very a expansive monetary policy there exists an equilibrium where a fraction of patient consumers purchases dollars in the interim period which constitutes a partial currency run a dollarized banking system without international short run credit may also implement the efficient allocation under certain conditions

optimal liquidity management and bail out policy in the banking industry abstract we characterize the profit maximizing reserves of a commercial bank and the generated probability of a liquidity crisis as a function of the penalty imposed by the central bank the probability of depositors liquidity needs and the return on outside investment opportunities we demonstrate that banks do not fully internalize the social cost associated with the bail out policy if the liquidity needs of individuals are correlated and that competitive interbank markets will induce banks to raise their reserves under reasonable conditions the marginal benefits from an interbank market decrease as the correlation between the liquidity shocks of banks increases

reconciling bagehot and the fed s response to september 11 bagehot 1873 states that to prevent bank panics a central bank should provide liquidity at a very high rate of interest in contrast most of the theoretical literature on liquidity provision suggests that central banks should lend at an interest rate of zero this is broadly consistent with the federal reserve s behavior in the days following september 11 2001 this paper shows that both policies can be reconciled with commodity money as in bagehot s time liquidity is scarce and a high price allows banks to self select in contrast the fed has a virtually unlimited ability to temporarily expand the money supply so self selection is unnecessary

banking as the provision of liquidity this article represents a model economy in which demand deposits represent the optimal financial intermediation because these demand deposits are backed in part by an illiquid asset the in termediary bank is subject to panics in which each agent ration ally decides to withdraw his deposits making all worse off banks ca n prevent panics only through a distortion of the optimal contract t he government can prevent panics without this distortion by guarantee ing the return from deposits the moral hazard introduced by this dep osit insurance induces the government to regulate the intermediary s portfolio and returns copyright 1988 by the university of chicago

financial fragility and over the counter markets abstract this paper studies the interaction between financial fragility and over the counter otc markets i model the financial sector as a large number of investors divided into different groups which i interpret as financial institutions and a large number of dealers financial institutions and dealers trade assets in an otc market a la duffie et al 2005 and lagos and rocheteau 2009 investors receive privately observed preference shocks and financial institutions use the balanced team mechanism proposed by athey and segal 2013 to implement an efficient risk sharing arrangement among their investors when the market is liquid in the sense that search and bargaining are small frictions i show that the economy is likely to have a unique equilibrium and therefore is not fragile when these frictions are severe a run equilibrium exists investors announce low valuation of assets because they believe everyone else in their financial institution is doing the same conditional on bank runs existing the welfare impact of the search friction is ambiguous during runs trade is inefficient and as a result a friction that reduces trade during runs has the potential to improve welfare this result is in sharp contrast with the existing literature which suggests that search friction has a negative impact on welfare

a model of financial crises in emerging markets recent events in mexico asia russia and brazil have underscored that a satisfactory explanation of financial crises in emerging markets remains elusive not too long ago the prevailing view was that crises were the inevitable outcome of ongoing fiscal imbalances coupled with fixed exchange rates but this first generation view pioneered by krugman 1979 has fallen out of fashion because in many crises the crucial fiscal disequilibria were absent and as obstfeld 1994 has argued currency crises have sometimes occurred even though central banks had more than enough resources to prevent them witness much of europe in the early 1990s obstfeld put forward a second generation view in which central banks may decide to abandon an exchange rate peg when the unemployment costs of defending it become too large this new perspective implied that crises could be driven by self fulfilling expectations since the costs of defending the peg may themselves depend on anticipations that the peg will be maintained but obstfeld s emphasis on mounting unemployment and domestic recession while appropriate for the erm 1992 crisis was at odds with the facts in mexico in 1994 and east asia in 1997 asian

banking panics and policy responses we study how banking panics unfold in av ersion of the diamond and dybvig 1983 model with limited commitment as is well known the banking authority could eliminate the possibility of a run on the banking system by committing to suspend payments to depositors if a run were to start once a run is under way however the banking authority will choose to reschedule rather than suspend payments we construct equilibria in which depositors run on the banking system with positive probability and we show that an equilibrium bank run in this setting is necessarily partial with only some depositors participating we also show that a run naturally occurs in waves with each wave of withdrawals prompting a further policy response from the banking authority the number of waves that occur in equilibrium is stochastic and can be arbitrarily large

accounting for the east asian crisis a quantitative model of capital outflows in small open economies to what degree can the qualitative and quantitative aspects of the east asian crisis be accounted for within a dynamic general equilibrium model this paper investigates that question using a framework in which the crisis itself is modeled as an exogenous shock to the country risk premium this exercise has empirical discipline because the scale of the shock can be measured by the movement in the reported risk premium we calibrate a quantitative sticky price dynamic general equilibrium model of a small open economy to match the features of three east asian economies thailand korea and malaysia we identify a shock to the country risk premium using published data from international bond markets and identify shortrun monetary policy using observed domestic interest rates we find that the modeled response to the observed increase in external interest rates substantially matches macroeconomic data on prices and quantities at the aggregate and sectoral level however the model has more difficulty explaining the large exchange rate devaluations that occurred in those economies

banks debt maturity and financial crises abstract we develop a model in which the maturity of external debt of banks their level of international reserves and the term structure of interest rates are jointly determine self fulfilling runs may occur and banks take this possibility into account when choosing the structure of their assets and liabilities if the probability of a run is sufficiently small banks will deliberately choose an illiquid asset liability position and expose themselves to a run in that case short term debt will be cheaper than long term debt and the maturity structure of foreign debt will depend on attitudes towards risk

distinguishing panics and information based bank runs welfare and policy implications in this paper we contrast panics and information based bank runs in an effort to provide a robust and empirically plausible model of how bank runs are triggered the model of information based runs is characterized by two sided asymmetric information the bank cannot observe the true liquidity needs of the depositors while depositors are asymmetrically informed about bank asset quality we also examine the relative degrees of risk sharing provided by bank deposit contracts and traded equity contracts we show that the choice of deposit or equity depends on the attributes of and information about the underlying investment returns

bank runs as an equilibrium phenomenon a standard demand deposit contract in which individuals are entitled to their full deposit at any time provided the bank is solvent is analyzed in a context in which there are no exogenous events on which agents condition their behavior and a unique equilibrium involving a bank run with positive probability is shown to exist

managing markets for toxic assets abstract a model in which banks trade toxic assets to raise funds for investment is analyzed toxic assets generate an adverse selection problem and consequently the interbank asset market provides insufficient liquidity investment is inefficiently low because acquiring funding requires banks to sell high quality assets for less than their fair value equity injections reduce liquidity and may be counterproductive as a policy for increasing investment paradoxically if it is directed to firms with the greatest liquidity needs an equity injection will reduce investment further asset purchase programs like the public private investment program often have favorable impacts on liquidity investment and welfare

informational contagion of bank runs in a third generation crisis model abstract this paper highlights the international spread of bank runs in a third generation model of financial crises through an informational channel banks short term liabilities include loans granted by foreign creditors who have imperfect information about the liquidation costs of banks assets a bank panic in a country induces lenders to downgrade early liquidation yields in other countries and thus to require higher interest rates to enable their banks to roll over their maturing debt those banks become therefore more prone to self fulfilling depositors runs the paper then studies the effect on contagion of increased transparency and bailouts

unique implementation of incentive contracts with many agents in this paper we consider the problem of implementation when a principal hires many agents and is not able to monitor their actions we distinguish two cases i when actions are mutually observable among agents ii when actions are not observable at all in i there is a mechanism in which the first best arises as a unique perfect equilibrium in ii we show by two examples that typically there are multiple equilibria if the principal merely offers a set of optimal sharing rules however we prove that the principal can use these optimal sharing rules as a starting point and construct a multi stage mechanism that has a unique second best perfect bayesian equilibrium

bank runs as coordination failures an experimental study we use experimental methods to investigate what factors contribute to breakdowns in coordination among a bank s depositors subjects in our experiment decide whether to leave their money deposited in a bank or withdraw it early a bank run occurs when there are too many early withdrawals we explore the effects of adding uncertainty about fundamental withdrawal demand and of changing the number of opportunities subjects have to withdraw our results show that i bank runs are rare when fundamental withdrawal demand is known but occur frequently when it is stochastic and ii subjects are more likely to withdraw when given multiple opportunities to do so than when presented with a single decision for the multiple opportunity case we evaluate individual withdrawal decisions according to a set of simple cutoff rules we find that the cutoff rule corresponding to the payoff dominant equilibrium of the game which involves bayesian updating of probabilities explains subject behavior better than other rules

banking crises in monetary economies this paper analyzes the effect of inflation on banking crises in a model in which money and banks play essential roles the model s equilibrium replicates some key features of actual banking crises namely the partial suspension of payments and the desire to hold cash even in the absence of pressing liquidity needs when banks have access to a stable foreign currency inflation has a threshold effect on banking crises higher inflation reduces the likelihood of crises when inflation is below the threshold the reverse happens when inflation exceeds the threshold this result appears to be broadly consistent with available evidence jel category e40 e50

deposit competition and financial fragility evidence from the us banking sector preliminary and incomplete please do not cite without permission we develop and estimate an empirical model of the u s banking sector using a new data set covering the largest u s banks over the period 2002 2013 our model incorporates insured depositors and run prone uninsured depositors who have rich preferences over dierentiated banks banks compete for deposits in the spirit of matutes and vives 1996 and can endogenously default we estimate demand for uninsured

interest rates and financial fragility abstract how do the interest rates banks earn on their assets affect the susceptibility of the banking system to a self fulfilling run by depositors i study this question in a version of the model of diamond and dybvig 1983 with limited commitment and a non trivial portfolio choice i show that the relationship between these interest rates and financial fragility is often non monotone for example a small increase in the return on illiquid investment or a small increase in the term premium may raise banks susceptibility to a run while a larger increase would make the banking system more stable the same is true for changes in short term rates holding the longer term rates fixed i provide a precise characterization of these comparative statics of financial fragility

run equilibria in the green lin model of financial intermediation abstract we study the green lin model of financial intermediation e j green p lin implementing efficient allocations in a model of financial intermediation j econ theory 109 2003 1 23 under a more general specification of the distribution of types across agents we derive the efficient allocation in closed form we show that in some cases the intermediary cannot uniquely implement the efficient allocation using a direct revelation mechanism in these cases the mechanism also admits an equilibrium in which some but not all agents run on the intermediary and withdraw their funds regardless of their true liquidity needs in other words self fulfilling runs can arise in a generalized green lin model and these runs are necessarily partial with only some agents participating

the role of demandable debt in structuring optimal banking arrangements demandable debt finance by banks warrants explanation because it entails costs of bank suspension liquidation and idle reserve holdings an explanation is developed in which demandable debt provides incentive compatible intermediation where the banker has comparative advantage in allocating investment funds but may act against the interests of uninformed depositors demandable debt attracts funds by giving depositors an option to force liquidation its usefulness in transacting follows from information sharing between monitors and nonmonitors copyright 1991 by american economic association

inequality and financial fragility abstract i study how the distribution of wealth influences the government s response to systemic banking crises and shapes financial fragility distributional concerns tend to make full government guarantees of deposits credible for relatively poor individuals but not for wealthier individuals as a result wealthier individuals have a stronger incentive to panic and in equilibrium the institutions in which they invest are endogenously more likely to experience runs and receive partial bailouts even under utilitarian government moreover the shape of the wealth distribution affects the level of financial fragility recognizing this fact may alter the government s desire to redistribute wealth ex ante

economic growth liquidity and bank runs abstract we construct an endogenous growth model in which bank runs occur with positive probability in equilibrium in this setting a bank run has a permanent effect on the levels of the capital stock and of output in addition the possibility of a run changes the portfolio choices of depositors and of banks and thereby affects the long run growth rate these facts imply that both the occurrence of a run and the mere possibility of runs in a given period have a large impact on all future periods a bank run in our model is triggered by sunspots and we consider two different equilibrium selection rules in the first a run occurs with a fixed exogenous probability while in the second the probability of a run is influenced by banks portfolio choices we show that when the choices of an individual bank affect the probability of a run on that bank the economy both grows faster and experiences fewer runs

equivalence between the diamond dybvig banking model and the optimal income taxation model abstract it is shown that the diamond dybvig journal of political economy 96 1983 768 banking model with a continuum of types of agents has the same analytical structure as the standard optimal income taxation model review of economic studies 38 1971 175 review of economic studies 43 1976 261 insights from the income taxation literature immediately imply that a bank run equilibrium exists in the banking model as long as the long term project is sufficiently costly to liquidate

money banking and financial markets the fact that money banking and financial markets interact in important ways seems self evident the theoretical nature of this interaction however has not been fully explored to this end we integrate the diamond 1997 journal of political economy 105 928 956 model of banking and financial markets with the lagos and wright 2005 journal of political economy 113 463 484 dynamic model of monetary exchange a union that bears a framework in which fractional reserve banks emerge in equilibrium where bank assets are funded with liabilities made demandable in government money where the terms of bank deposit contracts are affected by the liquidity insurance available in financial markets where banks are subject to runs and where a central bank has a meaningful role to play both in terms of inflation policy and as a lender of last resort among other things the model provides a rationale for nominal deposit contracts combined with a central bank lender of last resort facility to promote efficient liquidity insurance and a panic free banking system

risk based pricing and risk reducing effort does the private insurance market reduce environmental accidents abstract this paper examines whether risk based pricing promotes risk reducing effort risk based pricing is common in private insurance markets but rare in government assurance programs we analyze accidental underground fuel tank leaks a source of environmental damage to water supplies over a 14 year period using disaggregated facility level data and policy variation in financing the cleanup of tank leaks over time the data indicate that eliminating a state level government assurance program and switching to private insurance markets to finance cleanups reduce the frequency of underground fuel tank leaks by more than 20 percent this corresponds to more than 3 000 fuel tank release accidents forgone over 8 years in one state alone a benefit in avoided cleanup costs exceeding 400 million these benefits arise because private insurers mitigate moral hazard by providing financial incentives for tank owners to close or replace leak prone tanks prior to costly accidents

liquidity uncertainty and intermediation the paper performs a welfare comparison between demand deposit and equity contracts in the presence of intrinsic aggregate uncertainty in this framework the welfare dominance of deposit contracts emerges under corner preferences it is shown that aggregate uncertainty creates high price volatility of ex dividend equity claims traded in a secondary market and the resulting consumption allocations offer less risk sharing opportunities to risk averse consumers than tailor made deposit contracts the contingency of early payoffs on depositors withdrawal order reinforces the welfare performance of deposit contracts whereas costly liquidation of productive long term investments deteriorates their welfare performance relative to equity contracts

avoiding bank runs in transition economies the role of risk neutral capital abstract in a general equilibrium model with risk neutral and risk averse agents we show that if banks issue both demand deposits and equity then free banking is run proof and efficient in particular we obtain the first best insurance solution if there is adequate risk neutral capital if sufficient risk neutral capital is unavailable then a partial suspension of convertibility is optimal in general therefore policies like capital adequacy norms and deposit insurance are neither necessary nor desirable

banking and insurance abstract this paper studies the economic role of financial institutions in economies where agents incomes are subject to privately observable idiosyncratic random events the information structure precludes conventional insurance arrangements however a financial institution perhaps best viewed as a savings bank can provide partial insurance by generating a time pattern of deposit returns that redistributes wealth from agents with high incomes to those with low incomes resulting in a level of expected utility higher than that achievable in simple security markets insurance is incomplete because the bank faces a tradeoff between provision of insurance and maintenance of private incentives

equilibrium bank runs we analyze a banking system in which the class of feasible deposit contracts or mechanisms is broad the mechanisms must satisfy a sequential service constraint but partial or full suspension of convertibility is allowed consumers must be willing to deposit ex ante we show by examples that under the so called optimal contract the postdeposit game can have a run equilibrium given a propensity to run triggered by sunspots the optimal contract for the full predeposit game can be consistent with runs that occur with positive probability thus the diamond dybvig framework can explain bank runs as emerging in equilibrium under the optimal deposit contract

bank runs deposit insurance and capital requirements diamond and dybvig provide a model of intermediation in which deposit insurance can avoid socially undesirable bank runs we extend the diamond dybvig model to evaluate the costs and benefits of deposit insurance in the presence of moral hazard by banks and monitoring by depositors we find that complete deposit insurance alone will not support the first best outcome depositors will not have adequate incentives for monitoring and banks will invest in excessively risky projects however an additional capital requirement for banks can restore the first best allocation

an experimental exploration of self fulfilling banking panics their occurrence persistence and prevention this article tests the possibility and the degree of persistence of self fulfilling banking panics through an experimental protocol panics are proved to be persistent phenomena that are difficult to prevent however it seems possible to curb them through a learning effect caused by a temporary but sufficient suspension of the deposit availability combined with a narrow banking solution which makes banks more liquid additionally panic prevention requires a full deposit coverage to be effective this suggests that the moral hazard issue should not be tackled through a lower deposit coverage especially in emerging countries banking systems where depositors are likely to lose confidence

on bayesian implementable allocations this paper identifies several social choice correspondences which are and are not fully implementable in economic environments when agents are incompletely informed about the environment we show that in contrast to results in the case of complete information neither efficient allocations nor core allocations define implementable social choice correspondences we also identify conditions under which the rational expectations equilibrium correspondence is implementable we extend the concepts of fair allocations and lindahl allocations to economies with incomplete information and show that envy free allocations and lindahl allocations are implementable under some conditions while fair allocations are not

bailouts and financial fragility how does the belief that policymakers will bail out investors in the event of a crisis affect the allocation of resources and the stability of the financial system i study this question in a model of financial intermediation with limited commitment when a crisis occurs the efficient policy response is to use public resources to augment the private consumption of those investors facing losses the anticipation of such a bailout distorts ex ante incentives leading intermediaries to choose arrangements with excessive illiquidity and thereby increasing financial fragility prohibiting bailouts is not necessarily desirable however it induces intermediaries to become too liquid from a social point of view and may in addition leave the economy more susceptible to a crisis a policy of taxing short term liabilities in contrast can correct the incentive problem while improving financial stability

the fragility of short term secured funding markets abstract this paper develops an infinite horizon model of financial institutions that borrow short term and invest in long term assets that can be traded in frictionless markets because these financial intermediaries perform maturity transformation they are subject to potential runs we derive distinct liquidity collateral and asset liquidation constraints which determine whether a run can occur as a result of changing market expectations we show that the extent to which borrowers can ward off an individual run depends on whether it has sufficient liquidity collateral and asset liquidation capacity these determinants depend on the borrower s endogenous balance sheet and on exogenous fundamentals systemic runs are possible if shocks to the valuation of collateral held by outside investors are sufficiently strong and uniform and if the system as a whole is exposed to high short term funding risk the theory has policy implications for prudential regulation and lender of last resort interventions

could making banks hold only liquid assets induce bank runs abstract restrictions placed on bank portfolios are analyzed in a banking model designed to capture the role of checking accounts in facilitating transactions forcing banks to hold only liquid assets creates the incentive for liquidity based runs even when a run does not occur welfare is reduced as a result of overinvestment in the liquid asset

financial risk management when does independence fail the recent turmoil on credit markets has drawn attention to the risk management function on many trading oors around the world traders have been writing insurance against rare events examples include keeping long positions on cdo tranches or selling protection against default cds in normal times it is the role of risk management to ensure that the received insurance premia are not entirely considered as income and that enough capital is set aside to protect the institution against the risk that it is taking in the period that led to the current crisis however risk management has failed to play this role 1 this is particularly troubling as the nance industry is one that has embraced the notion of using counter powers to limit risk and the importance of dissent within organizations for instance the head of risk management at kfw a german bank argued for the superiority of having a central risk management function independent of the business units the great advantage of central risk management is the absence of conict of interest the central risk management is not driven by the market we look at the business from a different angle we are not involved at the personal level quoted by pricewaterhousecoopers 2007 the purpose of this paper is to study when such virtuous organizational design may fail we rst propose a model of risk management following augustin landier et al forthcoming we model the trading oor as a simple hierarchy the role of the trader t is to select an asset to invest in while the risk manager rm can decide to approve or not due to his

bank liquidity interbank markets and monetary policy a major lesson of the recent financial crisis is that the interbank lending market is crucial for banks facing large uncertainty regarding their liquidity needs this paper studies the efficiency of the interbank lending market in allocating funds we consider two different types of liquidity shocks leading to di erent implications for optimal policy by the central bank we show that when confronted with a distribu tional liquidity shock crisis that causes a large disparity in the liquidity held among banks the central bank should lower the interbank rate this view implies that the traditional tenet prescribing the separation between prudential regulation and mon etary policy should be abandoned in addition we show that during an aggregate liquidity crisis central banks should manage the aggregate volume of liquidity two di erent instruments interest rates and liquidity injection are therefore required to cope with the two di erent types of liquidity shocks finally we show that failure to cut interest rates during a crisis erodes financial stability by increasing the risk of bank runs