corporate insurance and managerial incentives abstract we present an agency model to examine the use of corporate insurance by publicly held firms we assume that insurance companies serve as investigators verifying whether or not accidents were insured when the manager performs multiple tasks to reduce the expected number of accidents the verification results can be used to produce a pair of managerial performance measures we show that the optimal pair of performance measures can be obtained when the corporate insurance policy covers all uncontrollable accidents and some controllable accidents that are costlier for the manager to control journal of economic literatureclassification numbers c61 c73 d82 g22 l14

dynamic security design convergence to continuous time and asset pricing implications an entrepreneur with limited liability needs to finance an infinite horizon investment project an agency problem arises because she can divert operating cash flows before reporting them to the financiers we first study the optimal contract in discrete time this contract can be implemented by cash reserves debt and equity the latter is split between the financiers and the entrepreneur and pays dividends when retained earnings reach a threshold to provide appropriate incentives to the entrepreneur the firm is downsized when it runs short of cash we then study the continuous time limit of the model we prove the convergence of the discrete time value functions and optimal contracts our analysis yields rich implications for the dynamics of security prices stock prices follow a diusion reflected at the dividend barrier and absorbed at zero their volatility as well as the leverage ratio of the firm increase after bad performance stock prices and book tomarket ratios are in a non monotonic relationship a more severe agency problem entails lower price earning ratios and firm liquidity and higher default risk

optimal security design and dynamic capital structure in a continuous time agency model we derive the optimal dynamic contract in a continuous time principal agent setting and implement it with a capital structure credit line long term debt and equity over which the agent controls the payout policy while the project s volatility and liquidation cost have little impact on the firm s total debt capacity they increase the use of credit versus debt leverage is nonstationary and declines with past profitability the firm may hold a compensating cash balance while borrowing at a higher rate through the credit line surprisingly the usual conflicts between debt and equity asset substitution strategic default need not arise in this paper we consider a dynamic contracting environment in which a riskneutral agent or entrepreneur with limited resources manages an investment activity while the investment is profitable it is also risky and in the short run it can generate arbitrarily large operating losses the agent will need outside financial support to cover such losses and continue the project the difficulty is that while the probability distribution of the cash flows is publicly known the agent may distort these cash flows by taking a hidden action that leads to a private benefit specifically the agent may i conceal and divert cash flows for his own consumption and or ii stop providing costly effort which would reduce the mean of the cash flows therefore from the perspective of the principal or investors that fund the project there is the concern that a low cash flow realization may be a result of the agent s actions rather than the project s fundamentals to provide the agent with appropriate incentives investors control the agent s wage and may also withdraw their financial support for the project and force its early termination we seek to characterize an optimal contract in this framework and relate it to the firm s choice of capital structure we develop a method to solve for the optimal contract given the incentive constraints in a continuous time setting and study the properties of the credit line debt and equity that implement the contract as in the discrete time model of demarzo and fishman 2003 the continuous time setting offers several peter m demarzo is from stanford university and yuliy sannikov is from u c berkeley we

dynamic risk sharing with two sided moral hazard abstract a group of risk averse agents repeatedly produce a perishable consumption good individual outputs are observable but efforts are not the contracting problem admits a recursive formulation and the optimal value function is the fixed point of a contraction mapping when the agents can be punished to the full extent in a single period every continuation contract of an optimal contract is itself optimal the marginal utility ratio between one agent and another is a submartingale the results imply that it is in general important to restrict an agent whose moral hazard constraint is binding from saving through another agent within the risk sharing group limited commitment and long run implications of optimal contracting are also examined

financing and advising optimal financial contracts with venture capitalists this paper analyses the joint provision of effort by an entrepreneur and by an advisor to improve the productivity of an investment project without moral hazard it is optimal that both exert effort with moral hazard if the entrepreneur s effort is more efficient less costly than the advisor s effort the latter is not hired if she does not provide funds outside financing arises endogenously this explains why investors like venture capitalists are value enhancing the level of outside financing determines whether common stocks or convertible bonds should be issued in response to incentives

large risks limited liability and dynamic moral hazard we study a continuous time principal agent model in which a risk neutral agent with limited liability must exert unobservable effort to reduce the likelihood of large but relatively infrequent losses firm size can be decreased at no cost or increased subject to adjustment costs in the optimal contract investment takes place only if a long enough period of time elapses with no losses occurring then if good performance continues the agent is paid as soon as a loss occurs payments to the agent are suspended and so is investment if further losses occur accumulated bad performance leads to downsizing we derive explicit formulae for the dynamics of firm size and its asymptotic growth rate and we provide conditions under which firm size eventually goes to zero or grows without bounds

double sided moral hazard and the nature of share contracts contractual arrangements involving revenue profit sharing are often based on fairly simple often linear rules in addition in many contexts these contracts are not finely adjusted to the particular circumstances of individual agents or markets nor do they vary over time to the extent current theories based on optimal contracting suggest they should we develop a simple model of such revenue or profit sharing arrangements based on double sided moral hazard and show that this model can account for many of these stylized facts more specifically the model shows that linear contracts can be optimal and that benefits from customizing terms can in some cases be quite limited if not zero

double moral hazard and resale price maintenance incentives for resale price maintenance rpm are studied in a wholesaler retailer relationship in which both firms make a nonprice choice subject to moral hazard the best attainable contract has vertical externalities in both nonprice choices and the choice of consumers price if delegated to the retailer rpm controls the latter externality but interacts with the other externalities as well as a consequence either minimum or maximum vertical price fixing can be optimal in spite of a successive monopoly specification similar incentives exist for writing other variables into contract such as the capital input of the retailer

sequential auctions of stochastically equivalent objects abstract we show that in sequential auctions of a large enough number of stochastically equivalent objects with bounded values prices will on average have a downwards trend

optimal long term financial contracting we develop an agency model of financial contracting we derive long term debt a line of credit and equity as optimal securities capturing the debt coupon and maturity the interest rate and limits on the credit line inside versus outside equity dividend policy and capital structure dynamics the optimal debt equity ratio is history dependent but debt and credit line terms are independent of the amount financed and in some cases the severity of the agency problem in our model the agent can divert cash flows we also consider settings in which the agent undertakes hidden effort or can control cash flow risk

aggregation and linearity in the provision of intertemporal incentives we consider the problem of providing incentives over time for an agent with constant absolute risk aversion the optimal compensation scheme is found to be a linear function of a vector of n accounts which count the number of times that each of the n kinds of observable events occurs the number n is independent of the number of time periods so the accounts may entail substantial aggregation in a continuous time version of the problem the agent controls the drift rate of a vector of accounts that is subject to frequent small random fluctuations the solution is as if the problem were the static one in which the agent controls only the mean of a multivariate normal distribution and the principal is constrained to use a linear compensation rule if the principal can observe only coarser linear aggregates such as revenues costs or profits the optimal compensation scheme is then a linear function of those aggregates the combination of exponential utility normal distributions and linear compensation schemes makes computations and comparative statics easy to do as we illustrate we interpret our linearity results as deriving in part from the richness of the agent s strategy space which makes it possible for the agent to undermine and exploit complicated nonlinear functions of the accounting aggregates

managerial incentives and the role of advisors in the continuous time agency model we explore a continuous time agency model with double moral hazard using a venture capitalist vc entrepreneur relationship where the vc both supplies costly effort and chooses the optimal timing of the initial public offering ipo we show that optimal ipo timing is earlier under double moral hazard than under single moral hazard our results also indicate that the manager s compensation tends to be paid earlier under double moral hazard we derive several comparative static results notably that ipo timing is earlier when the need for monitoring by the vc is smaller and when the volatility of cash flows is larger the author 2013 published by oxford university press on behalf of the society for financial studies all rights reserved for permissions please e mail journals permissions oup com oxford university press

optimal contracts in a continuous time delegated portfolio management problem this article studies the contracting problem between an individual investor and a professional portfolio manager in a continuous time principal agent framework optimal contracts are obtained in closed form these contracts are of a symmetric form and suggest that a portfolio manager should receive a fixed fee a fraction of the total assets under management plus a bonus or a penalty depending upon the portfolio s excess return relative to a benchmark portfolio the appropriate benchmark portfolio is an active index that contains risky assets where the number of shares invested in each asset can vary over time rather than a passive index in which the number of shares invested in each asset remains constant over time fund managers compensation schemes in a delegated portfolio management setting have been of special interest to both academics and practitioners academic interest stems in part from the rapid growth of managed funds over the last two decades gompers and metrick 1998 report that by december 1996 mutual funds pension funds and other financial intermediaries held discretional control over more than half of the u s equity market it is thus of importance to study the impact of institutional trading on asset prices and to integrate into one model both asset pricing and delegated portfolio management compensation as advocated by brennan 1993 allen and santomero 1997 and allen 2001 it is also important to understand the relationship between a manager s trading strategies and his implicit incentives or career concerns see e g brown harlow and starks 1996 brown goetzmann and park 1997 chevalier and ellison 1999 and chen and pennacchi 2000 these concerns include internal promotion from a small to a large fund higher outside offers and the flow of money through the fund under management 1 the importance of fund manager compensation is also underscored by congressional passage in 1970 of the amendment to

when to fire a ceo optimal termination in dynamic contracts abstract existing models of dynamic contracts impose that it is both optimal and feasible for the contracting parties to bind themselves together forever this paper introduces optimal termination in dynamic contracts we modify the standard dynamic agency model to include an external labor market which upon the dissolution of the contract allows the firm to return to the labor market to seek a new match under this simple closure of the model two types of terminations emerge under one scenario the agent is fired after a bad output and he becomes too poor to be punished effectively under the second scenario the agent is forced out after a good output and he becomes too expensive to motivate

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

heterogeneity biases distributional effects and aggregate consumption an empirical analysis using stratified microdata using stratified microdata from the canadian famex 78 86 surveys this paper investigates whether observed heterogeneity in marginal propensities to consume across strata actually hinders the aggregation process despite significant heterogeneity in marginal responses the divergences between aggregate predicted consumption and the predictions from a model that uses average strata responses are found to be small whenever the strata demands are approximatively linear at the mean and the commodity group considered is not a luxury good on the other hand some cross sectional estimates obtained by pooling the strata are shown to be contaminated by unwanted cross moments further the analysis reconciles the fact that while there exists significant heterogeneity in consumer demands the related distributional effects in the aggregate equation have not been found to be important

sequential auctions for stochastically equivalent complementary objects abstract this paper considers equilibrium prices in sequential auctions for complementary objects when objects are stochastically equivalent expected prices may not necessarily decrease as predicted by models with identical objects

reward for luck in a dynamic agency model this paper studies a continuous time principal agent problem of a rm whose cash ows are determined by the manager s unobserved eort the rm s cash ows are further subject to persistent and publicly observable shocks that are beyond the manager s control while standard contracting models predict that compensation should optimally lter out these shocks empirical evidence suggests otherwise in line with this evidence our model predicts that the manager is rewarded for luck

sequential auctions with synergies an example abstract an equilibrium in an example of a two unit sequential ascending price auction where some bidders have superadditive values is presented the equilibrium is in pure strategies in equilibrium the expected price declines from the first to the second auction

simultaneous auctions with synergies and common values abstract in this paper we study a simultaneous auction model with synergies common values and overlapping interests we construct strategies in which bidders of different types randomize over different bid intervals and provide necessary and sufficient conditions for such strategies to form symmetric equilibria questions about seller s revenue and efficiency are addressed journal of economic literature classification number d44