Economics Commons^™

Leverage Cycle Theory Of Economic Crises And Booms, John Geanakoplos

Cowles Foundation Discussion Papers

Traditionally, booms and busts have been attributed to investors' excessive or insufficient demand, irrational exuberance and panics, or fraud. The leverage cycle begins with the observation that much of demand is facilitated by borrowing, and that crashes often occur simultaneously with the withdrawal of lending.

Lenders are worried about default, and therefore attach credit terms like collateral or minimum credit ratings to their contracts. The credit surface, depicting interest rates as a function of the credit terms, emerges in leverage cycle equilibrium. Investors and lenders (and regulators) choose where on the credit surface they trade. The leverage cycle …

Collateral Equilibrium: A Basic Framework, John Geanakoplos, William R. Zame

Cowles Foundation Discussion Papers

Much of the lending in modern economies is secured by some form of collateral: residential and commercial mortgages and corporate bonds are familiar examples. This paper builds an extension of general equilibrium theory that incorporates durable goods, collateralized securities and the possibility of default to argue that the reliance on collateral to secure loans and the particular collateral requirements chosen by the social planner or by the market have a profound impact on prices, allocations, market structure and the efficiency of market outcomes. These findings provide insights into housing and mortgage markets, including the sub-prime mortgage market.

Leverage And Default In Binomial Economies: A Complete Characterization, Ana Fostel, John Geanakoplos

Cowles Foundation Discussion Papers

Our paper provides a complete characterization of leverage and default in binomial economies with financial assets serving as collateral. Our Binomial No-Default Theorem states that any equilibrium is equivalent (in real allocations and prices) to another equilibrium in which there is no default. Thus actual default is irrelevant, though the potential for default drives the equilibrium and limits borrowing. This result is valid with arbitrary preferences and endowments, contingent or non-contingent promises, many assets and consumption goods, production, and multiple periods. We also show that no-default equilibria would be selected if there were the slightest cost of using collateral or …

Endogenous Leverage In A Binomial Economy: The Irrelevance Of Actual Default, Ana Fostel, John Geanakoplos

Cowles Foundation Discussion Papers

We show that binomial economies with financial assets are an informative and tractable model to study endogenous leverage and collateral equilibrium: endogenous leverage can be highly volatile, but it is always easy to compute. The possibility of default can have a dramatic effect on equilibrium, if collateral is scarce, yet we prove the No-Default Theorem asserting that, without loss of generality, there is no default in equilibrium. Thus potential default has a dramatic effect on equilibrium, but actual default does not. This result is valid with arbitrary preferences, contingent promises, many assets and consumption goods, production, and multiple periods. On …

Leverage And Default In Binomial Economies: A Complete Characterization, Ana Fostel, John Geanakoplos

Cowles Foundation Discussion Papers

Our paper provides a complete characterization of leverage and default in binomial economies with financial assets serving as collateral. First, our Binomial No-Default Theorem states that any equilibrium is equivalent (in real allocations and prices) to another equilibrium in which there is no default. Thus actual default is irrelevant, though the potential for default drives the equilibrium and limits borrowing. This result is valid with arbitrary preferences and endowments, arbitrary promises, many assets and consumption goods, production, and multiple periods. We also show that the no-default equilibrium would be selected if there were the slightest cost of using collateral or …

Leverage And Default In Binomial Economies: A Complete Characterization, Ana Fostel, John Geanakoplos

Cowles Foundation Discussion Papers

Our paper provides a complete characterization of leverage and default in binomial economies with financial assets serving as collateral. Our Binomial No-Default Theorem states that any equilibrium is equivalent (in real allocations and prices) to another equilibrium in which there is no default. Thus actual default is irrelevant, though the potential for default drives the equilibrium and limits borrowing. This result is valid with arbitrary preferences and endowments, contingent or non-contingent promises, many assets and consumption goods, production, and multiple periods. We also show that no-default equilibria would be selected if there were the slightest cost of using collateral or …

A Note On Fairness, Power, Property, And Behind The Veil, Martin Shubik

Cowles Foundation Discussion Papers

An Axiomatization for Power and for Equity differ only in the addition of a Behind the Veil Axiom.

Structure, Clearinghouses And Symmetry, Martin Shubik, Eric Smith

Cowles Foundation Discussion Papers

We introduce and justify a taxonomy for the structure of markets and minimal institutions which appear in constructing minimally complex trading structures to perform the functions of price formation, settlement and payments. Each structure is presented as a playable strategic market game and is examined for its efficiency, the number of degrees of freedom and the symmetry properties of the structure.

Strategic Freedom, Constraint And Symmetry In One-Period Markets With Cash And Credit Payment, Martin Shubik, Eric Smith

Cowles Foundation Discussion Papers

In order to explain in a systematic way why certain combinations of market, financial, and legal structures may be intrinsic to certain capabilities to exchange real goods, we introduce criteria for abstracting the qualitative functions of markets. The criteria involve the number of strategic freedoms the combined institutions, considered as formalized strategic games, present to traders, the constraints they impose, and the symmetry with which those constraints are applied to the traders. We pay particular attention to what is required to make these “strategic market games” well-defined, and to make various solutions computable by the agents within the bounds on …

Liquidity, Default And Crashes: Endogenous Contracts In General Equilibrium, John Geanakoplos

Cowles Foundation Discussion Papers

The possibility of default limits available liquidity. If the potential default draws nearer, a liquidity crisis may ensue, causing a crash in asset prices, even if the probability of default barely changes, and even if no defaults subsequently materialize. Introducing default and limited collateral into general equilibrium theory (GE) allows for a theory of endogenous contracts, including endogenous margin requirements on loans. This in turn allows GE to explain liquidity and liquidity crises in equilibrium. A formal definition of liquidity is presented. When new information raises the probability and shortens the horizon over which a fixed income asset may default, …

Liquidity, Default And Crashes: Endogenous Contracts In General Equilibrium, John Geanakoplos

Cowles Foundation Discussion Papers

Introducing default and limited collateral into general equilibrium theory (GE) allows for a theory of endogenous contracts, including endogenous margin requirements on loans. This in turn allows GE to explain liquidity and liquidity crises in equilibrium. A formal definition of liquidity is presented. When new information raises the probability a fixed income asset may default, its drop in price may be much greater than its objective drop in value because the drop in value reduces the relative wealth of its natural buyers, who disproportiantely own the asset through leveraged purchases. When the information also shortens the horizon over which the …

Liquidity, Default And Crashes: Endogenous Contracts In General Equilibrium, John Geanakoplos

Cowles Foundation Discussion Papers

Introducing default and limited collateral into general equilibrium theory (GE) allows for a theory of endogenous contracts, including endogenous margin requirements on loans. This in turn allows GE to explain liquidity and liquidity crises in equilibrium. A formal definition of liquidity is presented. When new information raises the probability a fixed income asset may default, its drop in price may be much greater than its objective drop in value because the drop in value reduces the relative wealth of its natural buyers, who disproportiantely own the asset through leveraged purchases. When the information also shortens the horizon over which the …

Default And Punishment In General Equilibrium, Pradeep Dubey, John Geanakoplos, Martin Shubik

Cowles Foundation Discussion Papers

We extend the standard model of general equilibrium with incomplete markets to allow for default and punishment. The equilibrating variables include expected delivery rates, along with the usual prices of assets and commodities. By reinterpreting the variables, our model encompasses a broad range of moral hazard, adverse selection, and signalling phenomena (including the Akerlof lemons model and Rothschild-Stiglitz insurance model) in a general equilibrium framework. We impose a condition on the expected delivery rates for untraded assets that is similar to the trembling hand refinements used in game theory. Despite earlier claims about the nonexistence of equilibrium with adverse selection, …

Default And Punishment In General Equilibrium, Pradeep Dubey, John Geanakoplos, Martin Shubik

Cowles Foundation Discussion Papers

We extend the standard model of general equilibrium with incomplete markets to allow for default and punishment by thinking of assets as pools. The equilibrating variables include expected delivery rates, along with the usual prices of assets and commodities. By reinterpreting the variables, our model encompasses a broad range of adverse selection and signalling phenomena in a perfectly competitive, general equilibrium framework. Perfect competition eliminates the need for lenders to compute how the size of their loan or the price they quote might affect default rates. It also makes for a simple equilibrium refinement, which we propose in order to …

Default And Punishment In General Equilibrium, Pradeep Dubey, John Geanakoplos, Martin Shubik

Cowles Foundation Discussion Papers

We extend the standard model of general equilibrium with incomplete markets to allow for default and punishment by thinking of assets as pools. The equilibrating variables include expected delivery rates, along with the usual prices of assets and commodities. By reinterpreting the variables, our model encompasses a broad range of adverse selection and signalling phenomena in a perfectly competitive, general equilibrium framework. Perfect competition eliminates the need for lenders to compute how the size of their loan or the price they quote might affect default rates. It also makes for a simple equilibrium refinement, which we propose in order to …

Signalling And Default: Rothschild-Stiglitz Reconsidered, Pradeep Dubey, John Geanakoplos

Cowles Foundation Discussion Papers

In our previous paper we built a general equilibrium model of default and punishment in which equilibrium always exists and endogenously determines asset promises, penalties, and sales constraints. In this paper we interpret the endogenous sales constraints as equilibrium signals. By specializing the default penalties and imposing an exclusivity constraint on asset sales, we obtain a perfectly competitive version of the Rothschild-Stiglitz model of insurance. In our model their separating equilibrium always exists even when they say it doesn’t.

Default And Punishment In General Equilibrium, Pradeep Dubey, John Geanakoplos, Martin Shubik

Cowles Foundation Discussion Papers

We extend the standard model of general equilibrium with incomplete markets to allow for default and punishment. The equilibrating variables include expected delivery rates, along with the usual prices of assets and commodities. By reinterpreting the variables, our model encompasses a broad range of adverse selection, and signalling phenomena (including the Akerlof lemons model and Rothschild-Stiglitz insurance model) and some moral hazard problems in a general equilibrium framework. Despite earlier claims about the nonexistence of equilibrium with adverse selection, we show that equilibrium always exists. We show that more lenient punishment which encourages default may be Pareto improving because it …

Default And Punishment In General Equilibrium, Pradeep Dubey, John Geanakoplos, Martin Shubik

Cowles Foundation Discussion Papers

We extend the standard model of general equilibrium with incomplete markets to allow for default and punishment. The equilibrating variables include expected delivery rates, along with the usual prices of assets and commodities. By reinterpreting the variables, our model encompasses a broad range of adverse selection and signalling phenomena (including the Akerlof lemons model and the Rothschild-Stiglitz insurance model) in a general equilibrium framework. Despite earlier claims about the nonexistence of equilibrium with adverse selection, we show that equilibrium always exists. We show that more lenient punishment which encourages default may be Pareto improving because it increases the dimension of …

Default And Punishment In General Equilibrium, Pradeep Dubey, John Geanakoplos, Martin Shubik

Cowles Foundation Discussion Papers

We extend the standard model of general equilibrium with incomplete markets to allow for default and punishment by thinking of assets as pools. The equilibrating variables include expected delivery rates, along with the usual prices of assets and commodities. By reinterpreting the variables, our model encompasses a broad range of adverse selection and signalling phenomena (including the Rothschild-Stiglitz insurance model) in a general equilibrium framework. In contrast to game-theoretic models of adverse selection, our perfectly competitive framework eliminates the need for lenders to compute how the size of their loan or the price they quote might affect default rates. The …

Default In A General Equilibrium Model With Incomplete Markets, Pradeep Dubey, John Geanakoplos, Martin Shubik

Cowles Foundation Discussion Papers

We extend the standard model of general equilibrium with incomplete markets (GEI) to allow for default. The equilibrating variables include aggregate default levels, as well as prices of assets and commodities. Default can be either strategic, or due to ill-fortune. It can be caused by events directly affecting the borrower, or indirectly as part of a chain reaction in which a borrower cannot repay because he himself has not been repaid. Each asset is defined by its promises A , the penalties lambda for default, and the limitations Q on its sale. The model is thus named GE ( A …

Coordination Risk And The Price Of Debt, Stephen Morris, Hyun Song Shin

Cowles Foundation Discussion Papers

Creditors of a distressed borrower face a coordination problem. Even if the fundamentals are sound, fear of premature foreclosure by others may lead to pre-emptive action, undermining the project. Recognition of this problem lies behind corporate bankruptcy provisions across the world, and it has been identified as a culprit in international financial crises, but has received scant attention from the literature on debt pricing. Without common knowledge of fundamentals, the incidence of failure is uniquely determined provided that private information is precise enough. This affords a way to price the coordination failure. Comparative statics on the unique equilibrium provides several …