Welfare‐improving adverse selection in credit markets*

A model of simultaneous adverse selection and moral hazard in a competitive credit market is developed and used to show that aggregate borrower welfare may be higher in the combined case than in the moral‐hazard‐only case. Adverse selection can be welfare improving because in the pooling equilibrium of the combined model, high‐quality borrowers cross subsidize low‐quality borrowers. The cross subsidization reduces the overall moral hazard effort effects, and the resulting gain in welfare may more than offset the welfare loss stemming from distorted investment choices. The analysis focuses on pooling equilibria because model structure precludes separating equilibria.     

Natural or unnatural selection? The end of lending relationships for small businesses

We investigate the situation where small business borrowers and banks end their lending relationships. If credit allocation is efficient, banks terminate their relationships with risky borrowers. Alternatively, small business borrowers are more likely to end their relationships when they have poor investment opportunities and do not require borrowed funds. However, if the soft budget constraints of banks or credit crunches are a significant problem, banks are likely to continue their relationships with risky firms or end their relationships with nonrisky firms, which is representative of an unnatural credit allocation. Using Japanese firm-level data, we show empirically that these relationships end naturally, with natural credit allocation supported even during the recent global financial crisis.     

Deposit insurance and regulation in a Diamond-Dybvig banking model with a risky technology

Summary Three deposit insurance schemes are studied in a version of the Diamond-Dybvig banking model with a risky technology. The schemes include a full deposit guarantee and two alternatives which people have suggested as ways to limit the moral hazard problem of deposit insurance: deductible and coinsurance. Regulation to suppress the moral hazard problem under each scheme takes the form of solvency and incentive compatibility constraints. When the regulation is relaxed slightly, as it might be under regulatory error, the insurer's payout is lower under the alternatives than under the full guarantee. However, the coinsurance and deductible schemes are less effective at preventing bank runs than the full guarantee. Moreover, in some environments, even the full guarantee itself does not provide enough reassurance to rule out bank runs.I am indebted to Neil Wallace, John Kareken, Ed Green, Nobuhiro Kiyotaki, Andy McLennan, Mike Stutzer, Jan Werner and an anonymous referee for their helpful comments.     

On the Coexistence of Banks and Markets*

We examine the coexistence of banks and financial markets by studying a credit market where the qualities of investment projects are not observable and the investment decisions of entrepreneurs are not contractible. Standard banks can alleviate moral‐hazard problems, while financial markets operated by investment banks can alleviate adverse‐selection problems. In competition, standard banks are forced to increase repayments, since financial markets can attract the highest‐quality borrowers. This, in turn, increases the share of shirkers and may make lending unprofitable for standard banks. The coexistence of financial markets and standard banks is socially inefficient. The same inefficiency may occur with the entrance of sophisticated banks, operating with a combination of rating and ongoing monitoring technologies.     

The desire for land: Strategic lending with adverse selection

This paper deals with a setting in which borrowers and lenders place different values on an asset that can be used as collateral. Under adverse selection, lenders may rationally choose credit contracts with the object of attracting a relatively risky group of clients, so raising their chances of gaining possession of the asset through default. Contracts of differing attractiveness to borrowers can also coexist in equilibrium. When an ‘inside’ and an ‘outside’ lender compete, the latter placing a lower value on the collateral, and their loanable funds are sufficiently limited, a separating equilibrium may exist in which the insider offers a contract which attracts risky borrowers, whereas the outsider's contract is aimed at a safer group. If loanable funds are ample, the only equilibrium will involve pooling contracts, but the insider may still offer more attractive contracts in an entry game.     

Evaluating credit risk and loan performance in online Peer-to-Peer (P2P) lending

Online Peer-to-Peer (P2P) lending has emerged recently. This micro loan market could offer certain benefits to both borrowers and lenders. Using data from the Lending Club, which is one of the popular online P2P lending houses, this article explores the P2P loan characteristics, evaluates their credit risk and measures loan performances. We find that credit grade, debt-to-income ratio, FICO score and revolving line utilization play an important role in loan defaults. Loans with lower credit grade and longer duration are associated with high mortality rate. The result is consistent with the Cox Proportional Hazard test which suggests that the hazard rate or the likelihood of the loan default increases with the credit risk of the borrowers. Finally, we find that higher interest rates charged on the high-risk borrowers are not enough to compensate for higher probability of the loan default. The Lending Club must find ways to attract high FICO score and high-income borrowers in order to sustain their businesses.     

Credit mismatch and breakdown

This paper studies the phenomenon of mismatch in a decentralized credit market where borrowers and lenders must engage in costly search to establish credit relationships. Our dynamic general equilibrium framework integrates incentive based informational frictions with a matching process highlighted by (i) borrowers' endogenous market entry and exit decision (entry frictions) and (ii) time and resource costs necessary to locate credit opportunities (search frictions). A key feature of the incentive compatible loan contract negotiated between borrowers and lenders is the interaction of informational frictions (in the form of moral hazard) with entry and search frictions. We find that the removal of entry barriers can eliminate incentive-based equilibrium credit rationing. More generally, entry and incentive frictions are important in understanding the extent of credit rationing and credit mismatch, while search and incentive frictions are important for understanding credit market breakdown.     

Parametric versus nonparametric methods in risk scoring: an application to microcredit

The importance of credit access to improve economic opportunities in developing markets is well established in the literature. However, there exists a strong need to mitigate adverse selection problems in microlending. A risk scoring model that more accurately predicts the likelihood of repayment of potential borrowers can help address this market imperfection and to benefit both lenders and borrowers. This paper compares the performance of nonparametric versus semiparametric and traditional parametric risk scoring models based on default probabilities. We show the advantages of relying on less structured, data-driven methods for risk scoring using both simulated data and data from credit loans granted to small and microenterprises in rural Peru. The estimation results indicate that nonparametric methods lead to a better evaluation of credit worthiness and can help prevent including potential “bad” borrowers and excluding “good” borrowers from sensitive microcredit markets.     

Social Insurance and Redistribution with Moral Hazard and Adverse Selection*

Rochet (1991) showed that with distortionary income taxes, social insurance is a desirable redistributive device when risk and ability are negatively correlated. This finding is re‐examined when ex post moral hazard and adverse selection are included, and under different informational assumptions. Individuals can take actions influencing the size of the loss in the event of accident (or ill health). Social insurance can be supplemented by private insurance, but private insurance markets are affected by both adverse selection and moral hazard. We study how equity and efficiency considerations should be traded off in choosing the optimal coverage of social insurance when those features are introduced. The case for social insurance is strongest when the government is well informed about household productivity.     

基于博弈视角的银企信贷关系分析

银行和企业之间的信贷关系是影响我国经济增长的重要因素。由于信息不对称,银企信贷关系存在着很大的不确定性。本文通过对银企信贷行为的博弈分析,找出信贷风险的存在原因。通过增大企业贷款前的伪装成本,减少企业的逆向选择行为;增大企业贷款后的惩罚成本,减少企业的道德风险行为,从根本上改变银企之间的信息不对称状况,有利于银企关系的良好发展。     

Social collateral,dynamic incentives,and joint liability in a two‐step trust game: Lending to the unbankable

Asymmetric information and lack of collateral creates a suboptimal allocation of financial resources to those in most need. When uncollateralised borrowers approach financial institutions, the presence of moral hazard and adverse selection results in no lending. Conversely, group‐lending contracts—joint liability, dynamic lending, and social cost for defaulting—control for information asymmetries and create a co‐operative trust game between borrowers leading to an undominated optimal strategy to repay, and therefore, for the lender to Give. Group lending proves superior to typical individual borrowing and lending when no collateral is available. Social collateral and trust are fundamental pieces of the successful work of MicroFinance. Resulting contracts and correspondent payoffs are Pareto efficient.     

Group-lending: Sequential financing,lender monitoring and joint liability

We develop a simple model of group-lending based on peer monitoring and moral hazard. We find that, in the absence of sequential financing or lender monitoring, group-lending schemes may involve under-monitoring with the borrowers investing in undesirable projects. Moreover, under certain parameter configurations, group-lending schemes involving either sequential financing, or a combination of lender monitoring and joint liability are feasible. In fact, group-lending schemes with sequential financing may succeed even in the absence of joint liability, though the repayment rate will be lower. In the absence of joint liability, however, group-lending with lender monitoring is unlikely to be feasible.     

An agency model to explain trade credit policy and empirical evidence

This article explains trade credit policy based on the agency theory. According to this theory, we have developed an agency model based on the adverse selection and moral hazard phenomena arising from the relation between sellers and buyers. This model has been estimated by using panel data methodology applied to UK companies. Our findings strongly support the model proposed. We find that smaller firms, those with a smaller proportion of fixed assets, and those that are less profitable extend more trade credit, whereas firms with a high proportion of variable costs and high percentage of bad debts extend less.     

The equilibrium allocation of investment capital in the presence of adverse selection and costly state verification

Summary We consider credit rationing in an environment with adverse selection and costly state verification. The presence of costly state verification permits debt contracts to emerge under conditions that we specify. When debt contracts are observed, so is credit rationing. This rationing occurs even if it is possible for rationed borrowers to bid up expected returns to lenders and hence is voluntary. We also show how the adverse selection and costly state verification problems interact and investigate how improvements in information gathering technology impact on the extent of credit rationing.The views expressed herein are those of the authors and not necessarily those of the Federal Reserve Bank of Minneapolis or the Federal Reserve System. We have benefitted from comments on an earlier draft of this paper by Franklin Allen, Charlie Calomiris, V. V. Chari, Ed Green, Craig Holden, Jeff Lacker, George Pennachi, Neil Wallace, Anne Villamil, and an anonymous referee and from discussions with Edward Prescott.     

The relationship banking paradox: No pain no gain versus raison d'être

Relationship banking paradox refers to the case that credit market competition may threaten relationship banking practice, but it may stimulate it as well because of differentiation. Using a mixed model of adverse selection and double moral hazard, this paper shows that for some parameter values, relationship banking arises even when the banks compete à la Bertrand, hence supporting the no pain no gain hypothesis. This is due to multilayer nature of the information asymmetry by double moral hazard where an outside bank that does not have the borrower's proprietary information is unable to exert optimal levels of effort in the continuation game.     

逆选择机制下的中小企业融资分析——非对称信息下银行与中小企业的委托代理模型

中小企业融资难问题是经济学界普遍关注的问题,其核心在于信息的非对称性。由于信息非对称,会诱发逆向选择和道德风险,导致中小企业在金融市场上被信贷配给。本文综述了前人的研究成果,并从信息问题出发,运用委托代理理论,在信息经济学的框架下分析和研究逆选择机制的发生及中小企业融资问题的根本所在,通过对完全信息和非对称信息下的合同进行对比分析,指出信息的重要性,最终从信息完善的视角,提出破解中小企业融资难问题的相关政策建议。     

On the design of incentive schemes under moral hazard and adverse selection

This paper characterizes a class of optimal incentive schemes in a simple principal–agent model which allows for moral hazard and adverse selection. We show that incentive compatible allocation can always be (approximately) implemented through a menu of quadratic incentive schemes. It is also proved that the set of incentive compatible allocations is independent of the distribution of the additive uncertainty which affects the outcome. Informational requirements and economic interpretation of quadratic and linear schemes are discussed.     

Competition and the risk of bank failure: Breaking with the representative borrower assumption

We examine the relation between intensity of competition in the loan market and risk of bank failure, in a model with adverse selection. As well established, the presence of the two opposite margin and risk-shifting effects creates conditions for nonmonotonicity: the conventional competition-fragility view may be challenged at high interest rates. These rates may however be too high to be compatible with oligopolistic equilibrium conditions. The challenging competition-stability view has been argued in terms of a representative borrower managing the profitability-safeness trade-off under moral hazard. However, the representative borrower assumption is not innocuous, playing down by construction the margin effect. The paper considers the adverse selection situation where that trade-off is managed by banks facing heterogeneous borrowers, and shows analytically, in the case of a trapezoidal distribution of idiosyncratic and systemic risk factors, that the conventional view is always valid.     

Adverse selection as an explanation of credit rationing and different lender types

An adverse selection model is utilized to demonstrate that informational asymmetry may make it wealth optimal for the financial intermediary (FI) to credit ration and to rationalize the existence of different lenders in the credit market. The crucial assumption is that borrowers differ in their tolerance for a lender-imposed default penalty, the severity of which also varies with the lender. The credit rationing portion proves that the FI will: 1) be forced by a binding regulatory constraint to overinvest in capital; 2) ration its worst risk class borrowers; 3) establish its optimal loan interest rate on the basis of the average quality of its loans and the interest rate elasticity of the borrower demand in its best risk category; and 4) decrease the total loan volume and increase the loan interest rate due to an increase in the capital requirement, but the effect on the default risk quality of its loan portfolio is ambiguous. The existence result is that if a lender has a high default penalty, he can charge a lower rate and attract only “good” borrowers, i.e., heterogeneous lender types encourage the screening of borrowers and vice versa.