hedging production risk with options the expected utility maximization problem is solved for producers with both price and production uncertainty who have access to both futures and options markets introduction of production uncertainty alters the optimal futures and options position and almost always makes it optimal for the producer to purchase put options and to underhedge on the futures market simulation results lend support to the practice of hedging the minimum expected yield on the futures market and hedging remaining expected production against downside price risk using put options the results are strengthened if the producer expects local production to influence national prices and if risk aversion is higher at low income levels

futures market equilibrium with heterogeneity and a spot market at harvest abstract this paper studies equilibrium in the futures market for a commodity in a single good economy which is populated by heterogeneous producers and speculators the commodity is traded only in the spot market at harvest whereas futures contracts written on the commodity are traded continuously the model illustrates the role of heterogeneity and non tradeness in a futures market equilibrium the results show that the futures price is driven by aggregate wealth rather than the spot price as in other models and that the futures price process is a simple one which depends on the relative risk process

planning under incomplete information and the ratchet effect abstract central planning of production is usually performed under asymmetric information the firm in general has more information about its productive possibilities than the central planner from now on for short cp this justifies the use of incentives schemes in which the cp does not directly fix activity levels casual observation of such existing schemes suggests that the time dimensions is crucial for their working typically the cp revises the incentive scheme over time to take into account the information provided by the firm s performance managers of centrally planned economies as well as economists have long recognized that this revision induces firms to underproduce in order to avoid demanding schemes in the future this is the ratchet effect it is purpose of the present paper to study the ratchet effect under the non commitment assumption which we believe to be more realistic the inadequacy of conceptual tools made if difficult in the past to consider such an assumption now basic research on dynamic games with incomplete information recently resulted in new ideas which look particularly relevant for a theoretical analysis of the problem

optimal international hedging in commodity and currency forward markets abstract this paper derives optimal hedging and production rules for an exporting firm which faces both commodity price and foreign exchange rate uncertainty the size of the commodity hedge is independent of the properties of the foreign exchange market however the optimal foreign exchange hedge depends on the commodity hedge and the properties of the commodity forward market the firm s production decision is independent of its objective function if both forward markets exist but depends on the consumption beta of the unhedgeable risks in the absence of one or both of the markets

the behavior of competitive exporting firms under multiple uncertainty evaluates the effect of exchange rate and commodity price uncertainty from cost and production on a competitive risk averse exporting firm s behavior role of forward future markets in the presence of background uncertainty information on the behavior of the firm when missing markets were introduced

optimal hedging by firms with multiple sources of risky revenues abstract we study the hedging behavior of competitive risk averse firms producing under price uncertainty and owning other sources of risky income as well we show that the well known separation property holds when a futures market for the commodity produced is available however unbiased futures market does not imply full hedging by which the firm avoids price risk altogether

markov perfect risk sharing moral hazard and limited commitment abstract we define characterize and compute markov perfect risk sharing contracts in a dynamic stochastic economy with endogenous asset accumulation and simultaneous limited commitment and moral hazard frictions we prove that markov perfect insurance contracts preserve standard properties of optimal insurance with private information and are not more restrictive than a long term contract with one sided commitment markov perfect contracts imply a determinate asset time path and a non degenerate long run stationary wealth distribution quantitatively we show that markov perfect risk sharing contracts provide sizably more consumption smoothing relative to self insurance and that the welfare gains from resolving the commitment friction are larger than the gains from resolving the moral hazard friction at low asset levels while the opposite holds for high asset levels

hedging with price and output uncertainty abstract this paper extends mckinnon s analysis of hedging with price and output uncertainty to the general case where preferences are not necessarily quadratic and probability distribution not necessarily normal

the interaction of implicit and explicit contracts in repeated agency abstract in a repeated principal agent model in which the agent s actions are observable to the principal but not verifiable in court the agent s incentives derive both from salary payments based on verifiable signals and from implicit promises by the principal of bonuses for good behavior explicit short term contracts are designed to enhance the effectiveness of the infinite horizon implicit contract between principal and agent in a constrained efficient equilibrium bonuses smooth the consumption path of the risk averse agent by moving in the opposite direction from salaries total consumption and expected discounted utility for the rest of the game journal of economic literature classification numbers c7 c73 d8

relational incentive contracts standard incentive theory models provide a rich framework for studying informational problems but assume that contracts can be perfectly enforced this paper studies the design of self enforced relational contracts i show that optimal contracts often can take a simple stationary form but that self enforcement restricts promised compensation and affects incentive provision with hidden information it may be optimal for an agent to supply the same inefficient effort regardless of cost conditions with moral hazard optimal contracts involve just two levels of compensation this is true even if performance measures are subjective in which case optimal contracts terminate following poor performance jel c73 d82 l14

repeated moral hazard with a time inconsistent agent abstract i consider a repeated principal agent model with moral hazard in which the agent has preferences which are widely used to capture time inconsistency i analyze the case where the agent is sophisticated in the sense that he is fully aware of his inconsistent discounting i characterize the optimal wage scheme for such an agent and compare it to time consistent benchmarks the marginal cost of rewarding the agent for high output today exceeds the marginal benefit of delaying these rewards until tomorrow in this sense the principal does not smooth the agent s rewards over time when facing a sophisticated agent it is optimal for the principal to reward the good performance more and punish the bad performance more in the early period relative to the optimal wage scheme for a time consistent agent

contract form wage flexibility and employment we begin with two uncontroversial hypotheses firm productivity is expensive to measure and employment entails relationship specific investments these assumptions imply that firms would optimally choose fixed wage contracts and complement these with bonus pay when measuring employee performance is not too costly these assumptions imply that under an optimal employment contract hours of work is less responsive while total compensation is more responsive to shocks under bonus pay contracts compared to fixed wage contracts using data from the panel study of income dynamics psid where shocks are proxied using the local unemployment rate we find strong support for these two implications

the dynamics of incentive contracts the paper studies a simple two period principal agent model in which the principal updates the incentive scheme after observing the agent s first period performance the agent has superior information about his ability the principal offers a first period incentive scheme and observes some measure of the agent s first period performance cost or profit which depends on the agent s ability and unobservable first period effort the relationship is entirely run by short term contracts in the second period the principal updates the incentive scheme and the agent is free to accept the new incentive scheme or to quit the strategies are required to be perfect and updating of the principal s beliefs about the agent s ability follows bayes rule the central theme of the paper is that the ratchet effect leads to much pooling in the first period first for any first period incentive scheme there exists no separating equilibrium second when the uncertainty about the agent s ability is small the optimal scheme must involve a large amount of pooling the paper also gives necessary and sufficient conditions for the existence of partition equilibria and looks at the effect of cost uncertainty

involuntary layoffs in a model with asymmetric information concerning worker ability this paper examines the contract between a risk neutral firm and its risk averse employees assuming that worker ability is privately learned by the firm after a period of employment employers in an external spot labour market attempt to infer worker quality from the observable actions taken by the firm such as the number of workers it lays off the threat of spot market raids distorts the optimal contract layoffs may be involuntary and can exceed efficient levels a seniority layoff rule may be included in the contract to avoid the adverse selection problems that arise if layoffs are conducted on the basis of ability

short term contracts and long term agency relationships abstract long term contracts are valuable only if optimal contracting requires commitment to a plan today that would not otherwise be adopted tomorrow we show that commitments are unnecessary and hence short term contracts are sufficient if 1 all public information can be used in contracting 2 the agent can acess a bank on equal terms with the principal 3 recontracting takes place with common knowledge about technology and preferences and 4 the frontier of expected utility payoffs generated by the set of incentive compatible contracts is downward sloping at all times

status and incentives this article introduces status as reflecting an agent s claim to recognition in her work this is a scarce resource increasing an agent s status requires that another agent s status be decreased higher status agents are more willing to exert effort in exchange for money better paid agents would exert higher effort in exchange for improved status the results are consistent with actual management practices i egalitarianism is desirable in a static context ii in a long term work relationship juniors compensation is delayed and iii past performance is rewarded by pay increases along with improved status within the organization s hierarchy

multiperiod production with forward and option markets production and hedging in both forward and options markets are analyzed for forward looking firms that maximize expected utility in the presence of unbiased forward and options prices it is shown that such firms will use options as hedging instruments this result contrasts with the conclusions from studies that assume myopic behavior and occurs because forward looking agents care about the effect of future output prices on profits from future production cycles simulations support the theoretical results and show how the introduction of an options market influences the optimal forward position

repeated moral hazard the role of memory commitment and the access to credit markets abstract the dynamic dimension introduces new questions in moral hazard models thus the roles of memory and commitment have recently raised a marked interest the goal of this paper is to discuss and clarify the issues at hand and to present some new results we show that two conditions are necessary for the optimal long term contract to be implementable via spot contracts first the long term optimum should be renegotiation proof second spot contracts should provide efficient consumption smoothing we discuss how the availability of credit to the agent affects these two prerequisites we also study the hitherto neglected case in which the repetition of the moral hazard problem generates hidden information at recontracting dates the optimal renegotiation proof contract then implements the minimum effort level unless it involves randomized savings

limited liability contracts between principal and agent abstract the optimal strategy of the principal is examined in an environment where there are ex post limitations on the maximum penalty that can be imposed on a riskneutral agent contrary to the case in which such limitations are not imposed it is in the principal s interest to deliberately forego the opportunity to induce socially efficient behavior and to instead design a contract that induces the agent to realize an efficient outcome only in the most productive state of nature and perhaps in certain very unproductive states the properties of the contract are examined in detail

identifying and testing models of managerial compensation this article analyses the identification and empirical content of the pure moral hazard pmh and the hybrid moral hazard hmh principal agent models the pmh model has hidden actions while the hmh model has hidden information in addition to hidden actions in both models agents are risk averse and principals are risk neutral the article derives the equilibrium restrictions from the optimal contract and uses the restrictions to show that the models have empirical content for any given risk aversion parameter the models other parameters are non parametrically point identified the risk aversion parameter and hence the model are however only partially identified management s ability to manipulate accounting reports arises endogenously within hmh models but not in all versions of pmh models we use our framework to investigate whether shareholders contract with management recognizing that accounting reports are susceptible to manipulation and therefore endogenous to the incentives offered to management the data reject all models in which accounting reports are verifiable furthermore the version of the pmh in which accounting reports can be manipulated is rejected if expected compensation is restricted to be positive

time consistent health insurance currently available health insurance contracts often fail to insure long term illnesses sick people can suffer large increases in premiums or denial of coverage i describe insurance contracts that solve this problem their key feature is a severance payment a person who is diagnosed with a long term illness and whose premiums are increased receives a lump sum equal to the increased present value of premiums this lump sum allows him or her to pay the higher premiums required by any insurer people are not tied to a particular insurer or a group and the improvement is free insurance companies can operate at zero economic profits and consumers can pay exactly the same premium they do with standard contracts

dynamic contracts with moral hazard and adverse selection we study a novel dynamic principal agent setting with moral hazard and adverse selection persistent as well as repeated in the model an agent whose skills are his private information faces a finite sequence of tasks one after the other upon arrival of each task the agent learns its level of difficulty and then chooses whether to accept or refuse each task in turn and how much effort to exert although his decision to accept or refuse a task is publicly known the agent s effort level is his private information we characterize optimal contracts and show that the per period utility of the agent approaches his per period utility when his skills are publicly known as the discount factor and the time horizon increase

production hedging and speculative decisions with options and futures markets this paper analyzes production hedging and speculative decisions when both futures and options can be used in an expected utility model of price and basis uncertainty when futures and option prices are unbiased optimal hedging requires only futures options are redundant options are used together with futures as speculative tools when market prices are perceived as biased straddles are used to speculate on beliefs about price volatility and to hedge the futures position used to speculate on beliefs about the expected value of the futures price mean variance analysis in general is not consistent with expected utility when options are allowed one extension of sandmo s expected utility model of the competitive firm under price uncertainty considers the use of futures or forward contracts danthine holthausen and feder just and schmitz show that without basis uncertainty the optimal output level is not affected by price risk also with an unbiased futures price the optimal hedging level of the competitive firm is the full hedge while a biased futures price will result in a partly speculative hedge related works include batlin who allows for basis risk in the form of imperfect time hedging paroush and wolf and antonovitz and nelson who consider basis risk with the simultaneous availability of futures and forward contracts grant honda losq newbery and stiglitz and rolfo who allow for production uncertainty chavas and pope who allow for production uncertainty and hedging costs and karp who considers the problem in a dynamic setting this paper provides a further extension of this analysis by allowing options as a means of coping with price risk with the introduction of commodity options on futures for many commodities in the 1980s this problem appears relevant to a number of production settings especially in agriculture specifically this paper considers the simultaneous choice of a production level and of hedging levels of futures and options within the general expected utility model the model allows for basis uncertainty but the production process is assumed to be nonstochastic

production decisions under joint price and production uncertainty abstract while production decisions in the presence of price uncertainty have been extensively studied this is not so for the case in which the level of production is itself uncertain in this paper we provide a decision analysis under multiplicative production uncertainty both with and without price uncertainty we depict equilibrium and obtain comparative statics results with the aid of a diagram based on the difference between expected price and marginal cost comparative statics results are obtained for the model with production uncertainty alone and also for simultaneous price and production uncertainty including two special cases we first derive results based on the arrow pratt coefficients of risk aversion and then supplement these with the ross measure of relative risk aversion since this proves useful in the presence of multiple sources of uncertainty we find that increases in risk both price and production or input prices reduce expected output however expected output supply is an increasing function of expected price only for low levels of risk aversion and in general the relationship is ambiguous

promotion turnover and compensation in the executive labor market this paper develops a generalized roy model with human capital accumulation moral hazard and career concerns we identify and estimate the model with a large panel that matches data on publicly listed firms to information on their executives the structural estimates obtained are used to decompose the firm size pay gap we find that although total compensation and incentive pay increase with firm size certainty equivalent pay decreases with firm size in larger firms and for more highly ranked executives weaker signal quality about effort results in higher risk premiums this risk premium accounts for roughly 80 percent of the firm size gap in total compensation larger firms are also willing to pay more than smaller ones to attract executives finally the estimated coefficients on human capital accumulation from formal education and experience gained from different firms are individually significant but their collective effect on firm size pay differentials nets out

credibility and reputation building in the developmental state a model with east asian applications abstract we use a game theoretic model to analyze the role of credibility reputation and investment coordination in a developmental state our model focuses on why a soft state serving narrow social groups so often obtains in less developed countries and under what conditions a hard or developmental state can emerge the model highlights the dilemma that although state and private sector alike may want economic growth both must simultaneously invest to achieve it but the equilibrium outcome analogous to the prisoner s dilemma is investment by neither even when initial conditions are favorable and a state is potentially developmental with the genuine capability to elicit private sector investment this may not materialize and an equilibrium of low or no investment will prevail to avoid this deadlock and foster growth the successful developmental state must demonstrate commitment by promoting its developmental credentials through a process of reputation building a consequent incentive to act tough together with seeming advantages of authoritarianism in implementing the developmental state may help to explain why it is often associated with an authoritarian political system

subjective performance evaluations and reciprocity in principal agent relations we conduct a laboratory experiment with agents working on and principals benefiting from a real effort task in which the agents performance can only be evaluated subjectively principals give subjective performance feedback to agents and agents have an opportunity to sanction principals in contrast to existing models of reciprocity we find that agents tend to sanction whenever the feedback of principals is below their subjective self evaluations even if agents pay offs are independent of it in turn principals provide more positive feedback relative to their actual performance assessment of the agent if this does not affect their pay off

futures hedging under price basis and production risk we consider the hedging problem of a firm that has three sources of risk price basis and yield uncertainty an exact solution for the optimal futures hedge is derived under the assumption that the three random variables are jointly normally distributed and that utility is of the cara type unlike the mean variance approximation applied in previous research we show that the optimal hedge does depend on risk attitudes even when the agent perceives the futures price as being unbiased the theoretical results are applied empirically to the problem of hedging soybean production in iowa the exact solution relying on cara and normality is compared with numerical solutions under lognormal distributions and crra utility

designing optimal crop revenue insurance when the indemnity schedule is contingent on the farmer s price and individual yield an optimal crop revenue insurance contract depends only on the farmer s gross revenue however this design is not efficient if as is the case with available contracts the coverage function is based on imperfect estimators of individual yield and or price the producer s degree of prudence and the extent of basis risks have important influences on the optimal indemnity schedule in this broader context optimal protection is not provided by available u s crop insurance contracts and may include combinations of revenue insurance yield insurance futures and options contracts

intertemporal incentives under loss aversion this paper studies the intertemporal allocation of incentives in a repeated moral hazard model with reference dependent preferences as in k oszegi and rabin 2009 besides consumption utility the agent experiences utility from the change in his beliefs about present and future eort and income when eort plans are rational the prospect of being disappointed by the outcome realization equals that of being pleasantly surprised and hence the loss averse agent is on net hurt by news in contrast to the prediction with classical preferences but consistent with real world contracts if consumption utility is not too concave and news about present income carries suciently larger weight in utility than news about future income a contract setting a current

dynamic contractual enforcement a model of strikes this paper provides a theory of strikes as part of a constrained efficient enforcement mechanism for an implicit contractual agreement a firm possessing contemporaneously private information about demand engages in an enduring relationship with its workforce if the information becomes perfectly observable subsequently then modulo discounting the first best is implementable but strikes are always off the equilibrium path if the observations of the workforce are imperfect strikes occur in equilibrium the dynamic contracting problem is modeled as a repeated game with imperfect monitoring the equilibrium exhibits production inefficiency and incomplete insurance to mitigate the inefficiencies caused by strikes

repeated principal agent relationships with lending and borrowing abstract it is shown optimal long term contracts are strictly better than a series of unrelated short term contracts for two reasons long term contracts allow risk to be spread over time and the agent s intertemporal choices provide information about the unobservable random variable

a continuous time version of the principal agent problem this paper describes a new continuous time principal agent model in which the output is a diffusion process with drift determined by the agent s unobserved effort the risk averse agent receives consumption continuously the optimal contract based on the agent s continuation value as a state variable is computed by a new method using a differential equation during employment the output path stochastically drives the agent s continuation value until it reaches a point that triggers retirement quitting replacement or promotion the paper explores how the dynamics of the agent s wages and effort as well as the optimal mix of short term and long term incentives depend on the contractual environment the understanding of dynamic incentives is central in economics how do companies motivate their workers through piece rates bonuses and promotions how is income inequality connected with productivity investment and economic growth how do financial contracts and capital structure give incentives to the managers of a corporation the methods and results of this paper provide important insights to many such questions this paper introduces a continuous time principal agent model that focuses on the dynamic properties of optimal incentive provision we identify factors that make the agent s wages increase or decrease over time we examine the degree to which current and future outcomes motivate the agent we provide conditions under which the agent eventually reaches retirement in the optimal contract we also investigate how the costs of creating incentives and the dynamic properties of the optimal contract depend on the contractual environment the agent s outside options the difficulty of replacing the agent and the opportunities for promotion our new dynamic insights are possible due to the technical advantages of continuous time methods over the traditional discrete time ones continuous time leads to a much simpler computational procedure to find the optimal contract by solving an ordinary differential equation this equation highlights the factors that determine optimal consumption and effort the dynamics of the agent s career path are naturally described by the drift and volatility of the agent s pay offs the geometry of solutions to the differential equation allows for easy comparisons to see how the agent s wages effort and incentives depend on the contractual environment finally continuous time highlights many essential features of the optimal contract including the agent s eventual retirement in our benchmark model a risk averse agent is tied to a risk neutral principal forever after employment starts the agent influences output by his continuous unobservable effort input the principal sees only the output a brownian motion with a drift that depends on the agent s effort the agent dislikes effort and enjoys consumption we assume that the agent s utility function has the income effect that is as the agent s income increases it becomes costlier to compensate him for the effort also we assume that the agent s utility of consumption is bounded from below

repeated insurance contracts and moral hazard abstract an attempt is made to account for the frequently observed phenomenon of insurance companies offering discounts to clients who possess a favorable record of past claims we argue that such discounts provide a mechanism which enables both insurer and insured to counteract the inefficiency which arises from moral hazard

on the hedging and output behavior of the competitive cooperative firm under price and production uncertainty abstract we show that a separation of hedging and production decisions does not hold for a cooperative firm under price and output uncertainty and that its production decision is not sensitive to the functional form of the production function

competitive risk sharing contracts with one sided commitment this paper analyzes dynamic equilibrium risk sharing contracts between profit maximizing intermediaries and a large pool of ex ante identical agents that face idiosyncratic income uncertainty that makes them heterogeneous ex post in any given period after having observed her income the agent can walk away from the contract while the intermediary cannot i e there is one sided commitment we consider the extreme scenario that the agents face no costs to walking away and can sign up with any competing intermediary without any reputational losses we demonstrate that not only autarky but also partial and full insurance can obtain depending on the relative patience of agents and financial intermediaries insurance can be provided because in an equilibrium contract an up front payment effectively locks in the agent with an intermediary we then show that our contract economy is equivalent to a consumption savings economy with one period arrow securities and a short sale constraint similar to bulow and rogoff 1989 from this equivalence and our characterization of dynamic contracts it immediately follows that without cost of switching financial intermediaries debt contracts are not sustainable even though a risk allocation superior to autarky can be achieved

the multiperiod principal agent problem in repeated principal agent models long term contracts can improve on short term contracts only if they commit either principal or agent to a payoff in some future circumstance lower than could be obtained from a short term contract negotiated if that circumstance occurs we show that efficient contracting under moral hazard alone does not require long term commitment from the principal provided a short term contract can punish the agent sufficiently in a sense made precise it requires no commitment from the agent either then linking payoffs in one period to outcomes in previous periods does not improve the tradeoff between incentives and risk sharing

an analysis of the principal agent problem most analyses of the principal agent problem assume that the principal chooses an incentive scheme to maximize expected utility subject to the agent s utility being at a stationary point an important paper of mirrlees has shown that this approach is generally invalid we present an alternative procedure if the agent s preferences over income lotteries are independent of action we show that the optimal way of implementing an action by the agent can be found by solving a convex programming problem we use this to characterize the optimal incentive scheme and to analyze the determinants of the seriousness of an incentive problem

getting it done dynamic incentives to complete a project a principal wants an agent to complete a project the agent undertakes unobservable effort which affects in each period the probability that the project is completed we characterize the contracts that the principal sets with and without commitment with full commitment the contract involves the agent s value and wage declining over time in order to give the agent incentives to exert effort the best sequentially rational equilibrium for the principal also involves the agent s wage declining over time while the worst sequentially rational equilibrium for the principal has a constant wage and is in fact the unique stationary equilibrium the best weakly renegotiation proof equilibrium for the principal is achieved by a constant wage that maximizes the principal s payoff conditional on wages being constant we compare these solutions to the efficient outcome

the successful developmental state where does it come from abstract in this paper it is taken for granted that the state has played an important role in the industrialization of east asia accepting this the purpose of the paper is to determine why government policy was so effective in these countries while failing to a great extent in much of the rest of the developing world the key seems to reside in the ability of the state to discipline firms which in turn is dependent upon the credibility of government policy the latter depends on a large number of variables this paper argues that a crucial factor is the size of the domestic market for manufactured goods