discounting and divergence of opinion the objective of this paper is to adopt a general equilibrium model and determine the socially efficient discount factor risk free rate and discount rate when there are heterogeneous anticipations about the growth of the economy as well as heterogeneous time preference rates among others we tackle the following questions is the socially efficient discount factor an arithmetic average of the individual subjectively anticipated discount factors more generally can the arrow debreu prices the risk free rates the subjectively expected socially efficient discount factors and discount rates be obtained as an average of the individual subjectively anticipated ones can beliefs dispersion be analyzed as a sort of additional risk or uncertainty leading to possibly lower discount rates is it socially efficient when diversity of opinion is taken into account to reduce the discount rate per year for more distant horizons if so what is the trajectory of the decline

government incentive strategies and private capital participation in china s shale gas development abstractshale gas development investments are uncertain and irreversible in the initial stage in china flexible incentive strategy is needed for governments to guide private capital participation at different development stages this study aims to provide analysis governments can use to encourage private investment in shale gas projects according to its plans in an extended real options framework a social benefits variable is introduced to determine the threshold of social benefits that determine whether the government will choose a deferred or instant incentives strategy by considering the efficiency factor we show the optimal arrangements of two kinds of incentives tax cuts and production subsidies to implement incentive targets the results indicate that current market demand and social benefits are the key factors that affect the government s choice of incentive strategy we also find that the optimal level of incentives either tax cuts or production subsidies are independent of current market

information and the equity premium we determine how better information aects the average equity premium in a standard representative agent exchange economy perfect information obviously eliminates the equity premium and we show that a particular kind of information about the level of future consumption always lowers the average equity premium surprisingly information must sometimes raise the average equity premium no matter what the preferences of the representative agent information purely about the volatility either of consumption or the marginal utility of consumption raises the equity premium for a wide class of preferences moreover information can raise the average equity premium by an arbitrarily large percentage while still matching important magnitudes such as average growth and the risk free rate we consider two dierent economies a two period economy with arbitrary preferences for the representative agent and an infinite horizon economy with standard additive separable ces utility with independent growth rates through time

screening ethics when honest agents care about fairness we analyze a principal s ability to discriminate between honest and dishonest agents who have private information about the circumstances of the exchange honest agents reveal circumstances truthfully as long as the mechanism is suciently fair the probability that an equilibrium allocation is chosen by an agent who is lying should not be too large without intolerance for lying the agent is given proper incentives if dishonest and zero rent if honest with even a small intolerance for lying the optimal mechanism is discontinuously altered it may still involve ethics screening whereby some allocation chosen by a dishonest agent is never chosen by an honest agent it happens either when the dishonest is overstating circumstances or when the principal is forced to allow for some suboptimal announcements due to an excessive intolerance for lying with limited intolerance for lying ethics screening allows for doing better than in the standard setup where the agent is dishonest with certainty even if honesty is unlikely however if intolerance for lying is too strong the principal cannot improve upon the standard setup

robust stochastic discount factors when the market is incomplete a new non redundant derivative security cannot be priced by no arbitrage arguments alone moreover there will be a multiplicity of stochastic discount factors and each of them may give a different price for the new derivative security this paper develops an approach to the selection of a stochastic discount factor for pricing a new derivative security the approach is based on the idea that the price of a derivative security should not vary too much when the payoff of the primitive security is slightly perturbed i e the price of the derivative should be robust to model misspecification the paper develops two metrics of robustness the first is based on robustness in expectation the second is based on robustness in probability and draws on tools from the theory of large deviations we show that in a stochastic volatility model the two metrics yield analytically tractable bounds for the derivative price as the underlying stochastic volatility model is perturbed the bounds can be readily used for numerical examination of the sensitivity of the price of the derivative to model misspecification

investment uncertainty and liquidity we analyze the dynamic investment decision of a firm subject to an endogenous financing constraint the threat of future funding shortfalls lowers the value of the firm s timing options and encourages acceleration of investment beyond the first best optimal level as well as highlighting another way by which capital market frictions can distort investment behavior this result implies that 1 the sensitivity of investment to cash flow can be greatest for high liquidity firms and 2 greater uncertainty has an ambiguous effect on investment

the impact of the timing of patents on innovation performance abstract in the context of industry standard setting firms face the strategic decision of whether to move faster than competitors or wait for more information that reduces uncertainty these decisions are even more challenging if there are multiple standards and if there are benefits to belonging to more than one standard this paper examines the effect of the timing of patents on a firm s innovation performance the strategic logic of real options posits that patent timing is determined by the tension between the value of preemption and the value of waiting we analyze 680 dvd disc patents in dvd patent pools to test the effect of the timing of patents on innovation performance consistent with real options logic under high uncertainty the later the timing of the patent the higher the innovation performance while under low uncertainty there is an early mover advantage

the value of the option to wait and see abstract this note shows a very simple way to incorporate the effects of uncertainty about the accuracy of present value estimates into the firm s option to delay irreversible investment it is shown that if the firm s priors about the distribution of present value are sufficiently diffuse a reduction in the accuracy of present value estimates will increase the value of delay while learning will reduce its value

evaluating natural resource investments notwithstanding impressive advances in the theory of finance over the past 2 decades practical procedures for capital budgeting have evolved only slowly the standard technique which has remained unchanged in essentials since it was originally proposed see dean 1951 bierman and smidt 1960 derives from a simple adaptation of the fisher 1907 model of valuation under certainty under this technique expected cash flows from an investment project are discounted at a rate deemed appropriate to their risk and the resulting present value is compared with the cost of the project this standard textbook technique reflects modern theoretical developments only insofar as estimates of the discount rate may be obtained from crude application of single period asset pricing theory but see brennan 1973 bogue and roll 1974 turnbull 1977 constantinides 1978 the inadequacy of this approach to capital budgeting is widely acknowledged although not widely discussed its obvious deficiency is its the evaluation of mining and other natural resource projects is made particularly difficult by the high degree of uncertainty attaching to output prices it is shown that the techniques of continuous time arbitrage and stochastic control theory may be used not only to value such projects but also to determine the optimal policies for developing managing and abandoning them the approach may be adapted to a wide variety of contexts outside the natural resource sector where uncertainty about future project revenues is a paramount concern

hedging derivative securities and incomplete markets an e arbitrage approach given a european derivative security with an arbitrary payoff function and a corresponding set of underlying securities on which the derivative security is based we solve the optimal replication problem find a self financing dynamic portfolio strategy involving only the underlying securities that most closely approximates the payoff function at maturity by applying stochastic dynamic programming to the minimization of a mean squared error loss function under markov state dynamics we derive recursive expressions for the optimal replication strategy that are readily implemented in practice the approximation error or e of the optimal replication strategy is also given recursively and may be used to quantify the degree of market incompleteness to investigate the practical significance of these e arbitrage strategies we consider several numerical examples including path dependent options and options on assets with stochastic volatility and jumps

competing vertical structures precommitment and renegotiation we consider a model where two agents privately informed about their own characteristics play a normal form game on behalf of two uninformed principals we analyze the existence of precommitment effects through public announcements of contracts in a model where agency contracts designed ex ante can always be secretly renegotiated at the ex ante and interim stages we show that the existence of precommitment effects depends both on the strategic complementarity of the agents actions and on the direct effect of the opponents actions on each principal s welfare in our model the possibility of renegotiation is crucial for the existence of precommitment effects the results are introduced through an example of cournot and bertrand competition between firms viewed as vertical structures

on arbitrage free pricing of interest rate contingent claims unlike most interest rate claim models the ho lee model utilizes full information on the current term structure unfortunately the model has a major deficiency in that negative interest rates can occur this article modifies the model such that interest rates are well behaved

permanent and transitory oil volatility and aggregate investment in malaysia abstract this paper investigates the relation between aggregate investment and oil volatility and its permanent and transitory components for a developing country malaysia in the paper the components generalized autoregressive conditional heteroskedasticity cgarch model is utilized to decompose conditional oil volatility into permanent oil volatility and transitory oil volatility respectively reflecting fundamental driven and random shifts in oil volatility they are expected to exert differential effects on aggregate investment adopting a vector autoregression var framework to allow feedback effects between aggregate investment and its determinants the paper documents evidence supporting the adverse effects of conditional oil volatility permanent oil volatility and transitory oil volatility on aggregate investment and real output interestingly contrary to the findings for the developed markets us and oecd the real effects of permanent oil volatility tend to be stronger these findings are reasonably robust to variable specification and measurements in the var system hence there is an indication that heightened oil volatility accounts for the slumps in malaysia s aggregate investment after the asian financial crisis

a dynamic programming approach for pricing options embedded in bonds abstract we propose a dynamic programming dp approach for pricing options embedded in bonds the focus being on call and put options with advance notice an efficient procedure is developed for the cases where the interest rate process follows the vasicek cox ingersoll ross cir or generalized vasicek models our dp methodology uses the exact joint distribution of the interest rate and integrated interest rate at a future date conditional on the current value of the interest rate we provide numerical illustrations for the vasicek and cir models comparing our dp method with finite difference methods our procedure compares quite favorably in terms of both efficiency and accuracy an important advantage of the our dp approach is that it can be applied to more general models calibrated to capture the term structure of interest rates e g the generalized vasicek model

deductible contracts against fraudulent claims evidence from automobile insurance insurance fraud is now recognized as a significant resource allocation problem in many markets the object of this study is to verify how straight deductible contracts may affect the equilibrium level of falsification in automobile insurance this type of contract is observed in many markets even if it is not optimal under costly state falsification a higher deductible may create incentives to fraud or cheat particularly when the insured anticipates that the claim has a small probability of being audited to verify this proposition we estimate a loss equation for which one of the determinants is the amount of the deductible using a data set of claims filed for damages following an automobile accident with twenty insurance companies in quebec in 1992 because we have access only to reported losses a higher deductible also implies a lower probability of reporting small losses to isolate the fraud effect related to the presence of a deductible in the contract we jointly estimate a loss equation and a

valuing investment projects under interest rate risk empirical evidence from european firms abstractin this article we perform an empirical investigation of the effect of the interest rate uncertainty on the valuation of investment projects the analysis is carried out by employing a real option approach and by considering a set of firms that operate in various production sectors in the euro area in particular the revenues generated by the investment projects are modelled using a geometric brownian motion whereas the interest rate is specified as a stochastic process of vasicek type moreover using the volatility of the equity return as a proxy the volatility of the revenues is calibrated to real firm data while the parameters of the interest rate model are estimated by fitting the euribor time series to this aim an ad hoc calibration procedure is developed which is based on the maximum likelihood principle and thus has the merit of being simple fast and suitable for practical purposes our study reveals that the interest rate uncertainty reduces the valuation of investment projects h

valuing managerial flexibility an application of real option theory to mining investments abstract the value of managerial flexibility is assessed using data on prices costs grades reserves ore extraction and metal output for a panel of canadian copper mines a real option model is estimated and solved for project and option values most empirical researchers i consider the initial investment decision but neglect flexible operation thereafter ii assume that price is stochastic but ignore cost and reserve uncertainty and iii model price as a nonstationary stochastic process the evolution of three state variables price cost and reserves is assessed here differences in assumptions compared to others are found to lead to large differences in estimated project and option values

holding on for too long an experimental study on inertia in entrepreneurs and non entrepreneurs disinvestment choices abstract disinvestment in the sense of project termination and liquidation of assets including the cession of a venture is an important realm of entrepreneurial decision making this study presents the results of an experimental investigation modeling the choice to disinvest as a dynamic problem of optimal stopping in which the patterns of decisions are analyzed with entrepreneurs and non entrepreneurs our experimental results reject the standard net present value approach as an account of observed behavior instead most individuals seem to understand the value of waiting their choices are weakly related to the disinvestment triggers derived from a formal optimal stopping benchmark consistent with real options reasoning we also observe a pronounced psychological inertia i e most individuals hold on to a losing project for even longer than real options reasoning would predict the study provides evidence for entrepreneurs and non entrepreneurs being quite similar in their behavior

discounted utility and present value a close relation we introduce a new type of preference condition for intertemporal choice which requires present values to be independent of various other variables the new conditions are more concise and more transparent than traditional ones they are directly related to applications because present values are widely used tools in intertemporal choice our conditions give more general behavioral axiomatizations which facilitate normative debates and empirical tests of time inconsistencies and related phenomena like other preference conditions our conditions can be tested qualitatively unlike other preference conditions our conditions can also be directly tested quantitatively and we can verify the required independence of present values from predictors in regressions we show how similar types of preference conditions imposing independence conditions between directly observable quantities can be developed for decision contexts other than intertemporal choice and can simplify behavioral axiomatizations there o

the pension costs from a defined benefit to individual pension accounts do they cost more in the case of taiwan this article develops a market based liability valuation model to price individual pension costs of a defined benefit db pension plan the purpose is to compare them with the new labour pension plan individual pension accounts ipas in the case of taiwan the results based on the numerical approach show that the new ipas cost a company more than the old db plan except if the average wage growth relative to the risk free interest rate is high enough

geometric brownian motion and structural breaks in oil prices a quantitative analysis the purpose of this paper is to present a quantitative analyses of oil price s path we try to argue that despite its parsimony and simplicity geometric brownian motion can perform well as a proxy for the movement of oil prices and for a state variable to evaluate oil deposits we base our argument on evidences of very low speed of mean reverting or long half life since unit root tests only can reject its null hypothesis in a sample longer than 100 years on the other hand we reject the null hypothesis of unit root with two endogenous breaks showing that the usual rejection can be attributed to omitted structural breaks we conclude that the average half life of oil price between 4 and 8 years depending on the model chosen is long enough to allow a good approximation as a geometric brownian motion

hysteresis effects under cir interest rates most decision making research in real options focuses on revenue uncertainty assuming discount rates remain constant however for many decisions revenue or cost streams are relatively static and investment is driven by interest rate uncertainty for example the decision to invest in durable machinery and equipment using interest rate models from cox et al 1985b we generalize the work of ingersoll and ross 1992 in two ways firstly we include real options on perpetuities in addition to zero coupon cash flows secondly we incorporate abandonment or disinvestment as well as investment options and thus model interest rate hysteresis parallel to revenue uncertainty in dixit 1989a under stochastic interest rates economic hysteresis is found to be significant even for small sunk costs

timing of investment and financing decisions in imperfectly competitive financial markets the authors present a model in which firms can time their projects they show that financing and investment decisions are interrelated if financial markets are not perfectly competitive resulting in apparent timing of financing decisions the authors obtain the result that the proportion of equity financing relative to debt is higher when economic conditions are improving they also show that the type of financing depends both on current and past economic conditions finally the authors show that there will be relatively more equity financing in industries in which obsolescence is more likely copyright 1993 by university of chicago press

an option pricing approach to evaluating petroleum projects abstract option pricing applications in capital budgeting decisions are still in the development stage this paper uses concepts and methods from option pricing theory to evaluate real projects rather than financial ones within a petroleum projects context such real options include development and operations of satellite fields break even values of incremental capacity and flexibility value with compound development and operations options the option pricing results may be quite different from those obtained by traditional capital budgeting and decision tree approaches some related papers on real options are also briefly noted

optimal insurance design under narrow framing abstract in this paper we study insurance decisions when the policyholder evaluates insurance with narrow framing we show that due to aversion to risk on the net insurance payoff i e insurance indemnity minus insurance premium narrow framing reduces insurance demand this helps explaining the observed low insurance demand in many insurance markets we also show that the optimal insurance contract involves a deductible and the coinsurance of losses above the deductible when transaction costs depend on the actuarial value of the policy moreover when the policyholder is loss averse over the net insurance payoff a fixed indemnity equal to insurance premium should be paid for a range of intermediate losses

continuous time methods in finance a review and an assessment i survey and assess the development of continuous time methods in finance during the last 30 years the subperiod 1969 to 1980 saw a dizzying pace of development with seminal ideas in derivatives securities pricing term structure theory asset pricing and optimal consumption and portfolio choices during the period 1981 to 1999 the theory has been extended and modified to better explain empirical regularities in various subfields of finance this latter subperiod has seen significant progress in econometric theory computational and estimation methods to test and implement continuous time models capital market frictions and bargaining issues are being increasingly incorporated in continuous time theory the roots of modern continuous time methods in finance can be traced back to the seminal contributions of merton 1969 1971 1973b in the late 1960s and early 1970s merton 1969 pioneered the use of continuous time modeling in financial economics by formulating the intertemporal consumption and portfolio choice problem of an investor in a stochastic dynamic programming setting merton 1973b also showed how such a framework can be used to develop equilibrium asset pricing implications thereby significantly extending the asset pricing theory to richer dynamic settings and expanding the scope of applications of continuous time methods to study problems in financial economics 1 within a span of about 30 years from the publication of merton s inf luential papers continuous time methods have become an integral part of financial economics indeed in certain core areas in finance such as e g asset pricing derivatives valuation term structure theory and portfolio selection continuoustime methods have proved to be the most attractive way to conduct research and gain economic intuition the continuous time approach in these areas has produced models with a rich variety of testable implications the econometric theory for testing continuous time models has made rapid strides in the last decade and has thus kept pace with the impressive progress on the theoretical front one hopes that the actual empirical investigations and estimation using the new procedures will follow suit soon

convertible bond design and capital investment the role of call provisions if firms issue convertible securities to facilitate sequential investment the securities should be engineered to give sufficient flexibility to accommodate timing of follow on investment we examine call provisions in convertible bonds and argue that firms with investment options expected to expire sooner later will offer weaker stronger call protection we find that issues with weak or no call protection are offered by firms that invest greater amounts soon after issuance than those issuing convertibles with strong protection moreover capital expenditure levels during the 5 year period following issuance are inversely related to the length of call protection periods most convertible bonds and notes have call provisions and most provisions have important qualifications or protection broadly speaking convertibles may have absolute protection not callable hard call protection noncallable for a specified period provisional or soft call protection callable if certain conditions on stock price are met or no protection callable anytime in this study we investigate the relations between the strength and length of call protection and firms subsequent investment behavior our hypothesis is a natural implication of the sequential financing motive for convertible debt financing for example in mayers 1998 firms finance their planned multistage investment programs with convertibles besides mayers sequential financing motive other explanations for convertible financing include theories based on post issuance risk shifting jensen and meckling 1976 green 1984 heterogeneous risk assessment brennan and schwartz 1988 and asymmetric information stein 1992 in a recent study lewis rogalski and seward 2001 offer an explanation based on equity market rationing stein s 1992 model has at least an implicit role for callability but we believe mayers explanation has direct implications for the nature of call provisions that we examine here he argues that convertible financing is well suited to

an intertemporal general equilibrium model of asset prices this paper develops a continuous time general equilibrium model of a simple but complete economy and uses it to examine the behavior of asset prices in this model asset prices and their stochastic properties are determined endogenously one principal result is a partial differential equation which asset prices must satisfy the solution of this equation gives the equilibrium price of any asset in terms of the underlying real variables in the economy in this paper we develop a general equilibrium asset pricing model for use in applied research an important feature of the model is its integration of real and financial markets among other things the model endogenously determines the stochastic process followed by the equilibrium price of any financial asset and shows how this process depends on the underlying real variables the model is fully consistent with rational expectations and maximizing behavior on the part of all agents our framework is general enough to include many of the fundamental forces affecting asset markets yet it is tractable enough to be specialized easily to produce specific testable results furthermore the model can be extended in a number of straightforward ways consequently it is well suited to a wide variety of applications for example in a companion paper cox ingersoll and ross 7 we use the model to develop a theory of the term structure of interest rates many studies have been concerned with various aspects of asset pricing under uncertainty the most relevant to our work are the important papers on intertemporal asset pricing by merton 19 and lucas 16 working in a continuous time framework merton derives a relationship among the equilibrium expected rates of return on assets he shows that when investment opportunities are changing randomly over time this relationship will include effects which have no analogue in a static one period model lucas considers an economy with homogeneous individuals and a single consumption good which is produced by a number of processes the random output of these processes is exogenously determined and perishable assets are defined as claims to all or a part of the output of a process and the equilibrium determines the asset prices our theory draws on some elements of both of these papers like merton we formulate our model in continuous time and make full use of the analytical tractability that this affords the economic structure of our model is somewhat similar to that of lucas however we include both endogenous production and

investment under uncertainty in information technology acquisition and development projects in this paper we develop two models for the valuation of information technology it investment projects using the real options approach the it investment projects discussed in this paper are categorized into development and acquisition projects depending upon the time it takes to start benefiting from the it asset once the decision to invest has been taken the models account for uncertainty both in the costs and benefits associated with the investment opportunity our stochastic cost function for it development projects incorporates the technical and input cost uncertainties of pindyck s model 1993 but also considers the fact that the investment costs of some it projects might change even if no investment takes place in contrast to other models in the real options literature in which benefits are summarized in the underlying asset value our model for it acquisition projects represents these benefits as a stream of stochastic cash flows

optimal auditing with scoring theory and application to insurance fraud this article makes a bridge between the theory of optimal auditing and the scoring methodology in an asymmetric information setting our application is meant for insurance claims fraud but it can be applied to many other activities that use the scoring approach fraud signals are classified based on the degree to which they reveal an increasing probability of fraud we show that the optimal auditing strategy takes the form of a red flags strategy which consists in referring claims to a special investigative unit siu when certain fraud indicators are observed the auditing policy acts as a deterrence device and we explain why it requires the commitment of the insurer and how it should affect the incentives of siu staffs the characterization of the optimal auditing strategy is robust to some degree of signal manipulation by defrauders as well as to the imperfect information of defrauders about the audit frequency the model is calibrated with data from a large european insurance company we show that it is possible to improve our results by separating different groups of insureds with different moral costs of fraud finally our results indicate how the deterrence effect of the audit scheme can be taken into account and how it affects the optimal auditing strategy

a continuous time equilibrium model of forward prices and futures prices in a multigood economy abstract this paper is a theoretical investigation of equilibrium forward and futures prices we construct a rational expectations model in continuous time of a multigood identical consumer economy with constant stochastic returns to scale production using this model we find three main results first we find formulas for equilibrium forward futures discount bond commodity bond and commodity option prices second we show that a futures price is actually a forward price for the delivery of a random number of units of a good the random number is the return earned from continuous reinvestment in instantaneously riskless bonds until maturity of the futures contract third we find and interpret conditions under which normal backwardation or contango is found in forward or futures prices these conditions reflect the usefulness of forward and futures contracts as consumption hedges

on real interest rate dynamics and regime switching abstract we find evidence of regime switching dynamics in the usa and the uk real interest rates over the period 1881 2003 for the uk there is a regime in which the real interest rate displays a relatively stronger mean reversion and a regime in which it displays a relatively weaker mean reversion the former regime is characterized by a relatively larger error in the estimation of the reversion parameter and higher volatility for the usa the two regimes differ in volatility the probability of transition from one regime to another is found to be significantly related to the inflation rate regime and to the political regime the results highlight the importance of regime switching in the dynamics of the real interest rate as well as the role of inflation and political regimes in explaining this switching

a fuzzy design of the willingness to invest in sweden abstract this paper uses a non linear fuzzy logic procedure to empirically investigate the links between the real interest rate and aggregate investments in sweden from 1950 to 1990 the economic environment is characterized by multivalued logic and an indicator for the economy wide investment climate is derived strictly from the interest rate it turns out that the fuzzy logic approach may reveal some empirical regularities that are not recognized by conventional linear regressions

wicksellian theory of forest rotation under interest rate variability abstract we apply the wicksellian single rotation framework to cover the unexplored case of variable and stochastic interest rate we provide a mathematical characterization of the two dimensional optimal stopping problem and show in the presence of amenity valuation that increased interest rate volatility lengthens the optimal rotation period and increases the value of the optimal policy by modelling the interest rate as a mean reverting process and forest value as a geometric brownian motion and abstracting from amenity valuation we present an explicit solution for the problem numerical illustrations indicate that interest rate volatility has a significant and non linear impact on optimal rotation

securities markets diffusion state processes and arbitrage free shadow prices this paper develops the parametric restrictions imposed on diffusion state processes by the requirement of arbitrage free asset pricing using the equivalent martingale measure as a starting point the diffusion property is exploited to specify the shadow pricing func tion which takes conditional state variable probabilities under the reference measure into arbitrage free contingent claim prices the main results of the paper provide differential equations associated with the shadow price function that are used to identify restrictions on the parameters of assumed diffusion processes the paper concludes with an application to the cir model where the state variable the instantaneous interest rate is assumed to follow a square root process calculations are also provided for the parametric restrictions imposed on the brownian bridge and ou state variable processes

commitment through renegotiation proof contracts with third parties the paper analyzes contracts as means of strategic commitment that is commitment against outside parties to the agreement it considers the example of an incumbent firm which enters a contractual relationship with its workers in order to deter entry it assumes away the possibility for the parties to precommit not to make pareto improving renegotiations of the agreement once entry has taken place under symmetric information the contract is thus found to be useless for entry deterrence if the incumbent firm or workers possess some private information excessive post entry production levels can however be sustained ex post since output reductions may not be incentive compatible while information asymmetries are usually welfare decreasing when the goal is optimal risk sharing they can thus be welfare improving for the contracting parties when commitment against outsiders is the goal of the contract the role of the renegotiation process as a constraint on sustainable agreements is stressed in the paper and the general relevance of strategic contractual commitment is discussed

time horizon and the discount rate abstract we consider an economy a la lucas 1978 econometrica46 1429 1446 with a risk averse representative agent the exogenous growth rate of the economy follows a random walk we characterize the set of utility functions for which it is efficient to discount more distant cash flows at a lower rate the benchmark result is that when the growth rate is almost surely nonnegative the yield curve is decreasing if and only if relative risk aversion is decreasing with wealth relaxing the assumption on the absence of recession requires more restrictions on preferences such as increasing relative prudence journal of economic literature classification numbers d81 d91 q25 q28

efficient committed budget for implementing target audit probability for many inspectees strategic models of auditor inspectee interaction have neglected implementation details in multiple inspectee settings with multiple inspectees the target audit probability derived from the standard analysis can be implemented with sampling plans differing in the budgets committed to support them overly committed audit budgets tie up unneeded resources that could have been allocated for better uses this paper studies the minimum committed budget required to implement a target audit probability when i the audit sample can be contingent on red flags due to signals of inspectees private information e g from self reporting and ii the number of inspectees is large it proposes an audit rule called bounded simple random sampling srs which is shown to require no more committed budget to support than two other rules naturally generalized from the one to one analysis when the number of inspectees is large enough bounded srs is nearly as good as any efficient audit rule which demands the lowest committed budget necessary to implement the target audit probability the results offer insights on how audit sampling plans may be formulated to reduce inefficiency and what budget usage ratios should be expected accordingly

pricing weather derivatives this article presents a general method for pricing weather derivatives specification tests find that a temperature series for fresno ca follows a mean reverting brownian motion process with discrete jumps and autoregressive conditional heteroscedastic errors based on this process we define an equilibrium pricing model for cooling degree day weather options comparing option prices estimated with three methods a traditional burn rate approach a black scholes merton approximation and an equilibrium monte carlo simulation reveals significant differences equilibrium prices are preferred on theoretical grounds so are used to demonstrate the usefulness of weather derivatives as risk management tools for california specialty crop growers

delegation as commitment the case of income tax audits in this article we study the value of delegating authority over income tax audit policy arising from the incompleteness of contracts consider a utilitarian government whose ability to commit is limited to aggregate dimensions of its audit policy as publicly verifiable information about detailed allocations of audit budgets is not available we show that the welfare level associated with the full commitment solution can be attained by delegating authority over audit policy to a manager the latter is offered a simple incentive scheme based only on the aggregate variables which are publicly observable in contrast if the government retains authority direct commitment to these same variables does not allow the full commitment welfare level to be achieved thus despite sharing a common informational basis delegation may perform better than centralized arrangements in the presence of incomplete contracts

hardball and the soft touch the economics of optimal insurance contracts with costly state verification and endogenous monitoring costs abstract we examine an environment of costly state verification in which insureds possess private information about the magnitude of an insurable loss insurers can verify the actual loss suffered only by incurring a positive resource cost and insureds may verification and may lead to more generous settlements optimal insurance contracts are shown to mitigate the incentives to evade by a combination of incentives which include the overpayment of easily monitored losses and undercompensation for claims exhibiting higher verification costs

honesty on the streets a field study on newspaper purchasing many publishers use an honor system for selling newspapers in the street we conducted a field experiment to study honesty in this market finding that a moral reminder increases the level of honesty in payments whereas the same message has no effect on whether one is honest reminding customers of the legal norm has no effect we argue that these results are consistent with a preference for honesty based on an internalized social norm auxiliary evidence suggests that the moral message remains effective when it is posted for longer periods and even when it is removed again authors abstract

irreversible investment under interest rate variability some generalizations we study the impact of interest rate and revenue variability on the decision to carry out irreversible investment we provide a mathematical characterization of the two dimensional optimal stopping problem and show that interest rate variability has a decelerating or accelerating impact on investment depending on whether the current interest rate is below or above the long run steady state allowing for interest rate volatility decelerates investment by raising both the required exercise premium of the investment opportunity and the value of waiting finally increased revenue volatility is shown to strengthen the negative impact of interest rate volatility and vice versa

optimal insurance under costly falsification and costly inexact verification abstract this paper integrates the often dichotomized models of costly state verification and costly claim falsification it is found that when verification is inexact it is possible for an optimal insurance contract to consist of both positive claim falsification and positive insurer verification provided that falsification cost and verification cost are sufficiently low and the insured is risk averse satisfying constant absolute risk aversion this result certainly contrasts with the common belief that falsification and verification are mutually exclusive in an optimal insurance contract some characteristics of the optimal falsification verification and indemnification profiles including implementability are analyzed

political uncertainty and asset valuation evidence from business relocations in canada abstract quebec s drive for sovereignty from canada has been the source of political uncertainty for decades in canada this paper studies empirically stock market s reaction to the announcements of business relocations from the province of quebec to other provinces within canada similar announcements about toronto are used for control empirical results show that the market s reaction to the announcements of business relocations a from quebec is positive b from toronto is negative and c to toronto is positive the difference in abnormal returns between the quebec and toronto samples is positive and significant

the investment strategies for a dynamic supply chain under stochastic demands abstract a successful supply chain management scm should aim to maximize the net present value of joint profits along the supply chain however the volatile market conditions cause the future cash flows along the supply chain more difficult to anticipate to obtain higher supply chain value the supplier and the retailer should cooperatively determine the optimal entry time this paper proposes a two stage dynamic optimization model by using a real option approach and then performs the sensitivity analyses for the option value and the investment threshold the impacts of some critical factors including the growth rate and the volatility of demand shock sunk cost and relating operational costs cost rates fix costs holding costs of inventory and shipping costs are investigated

does inflation targeting anchor long run inflation expectations evidence from the u s uk and sweden we investigate the extent to which inflation expectations have been more firmly anchored in the united kingdom a country with an explicit inflation target than in the united states a country with no such target using the difference between far ahead forward rates on nominal and inflation indexed bonds as a measure of compensation for expected inflation and inflation risk at long horizons we show that far ahead forward inflation compensation in the u s exhibits substantial volatility especially at low frequencies and displays a highly significant degree of sensitivity to economic news similar patterns are evident in the uk prior to 1997 when the bank of england was not independent but have been strikingly absent since the bank of england gained independence in 1997 our findings are further supported by comparisons of dispersion in longer run inflation expectations of professional forecasters and by evidence from sweden another inflation targeting country with a relatively long history of inflation indexed bonds our results support the view that an explicit and credible inflation target helps to anchor the private sector s views regarding the distribution of long run inflation outcomes jel e31 e52 e58

nominal contracts in a bimetallic standard as its central feature a bimetallic standard grants nominal debtors an option to deliver either of two metals with results from the option pricing literature construction of a formula to evaluate the bimetallic option in debt instruments is straightforward with this formula one can compute the option value in a wide range of nineteenth century u s treasury securities posession of the option values permits an adjustment of the yields on u s securities to make them comparable to yields on nonmetallic european securities evaluating the option allows the estimation of transfers from debtors to creditors copyright 1986 by american economic association

option value uncertainty and the investment decision the options based approach to studying irreversible investment under uncertainty emphasizes that the opportunity cost of investment includes the value of the option to wait that is extinguished when an investment is undertaken thus the investment decision is affected by the determinants of the value of this option we extend and generalize a standard model of irreversible investment by introducing a second fully reversible technology and also incorporate partial reversibility by allowing capital to be abandoned at a cost as in the existing literature we find that the threshold value of the underlying asset in our case demand at which investment takes place is increasing in the uncertainty of demand we also find that the value of the option and thus the threshold value of the option value multiple at which investment takes place may be either increasing or decreasing in the uncertainty of demand in addition we find that for the case in which capital is used to replace the reversible technology the threshold value of the option value multiple is insensitive to the degree of reversibility of capital

discounting the distant future how much do uncertain rates increase valuations abstract we demonstrate that when the future path of the discount rate is uncertain and highly correlated the distant future should be discounted at significantly lower rates than suggested by the current rate we then use two centuries of us interest rate data to quantify this effect using both random walk and mean reverting models we compute the certainty equivalent rate that summarizes the effect of uncertainty and measures the appropriate forward rate of discount in the future under the random walk model we find that the certainty equivalent rate falls continuously from 4 to 2 after 100 years 1 after 200 years and 0 5 after 300 years at horizons of 400 years the discounted value increases by a factor of over 40 000 relative to conventional discounting applied to climate change mitigation we find that incorporating discount rate uncertainty almost doubles the expected present value of mitigation benefits

costly risk verification without commitment in competitive insurance markets abstract this paper analyzes the equilibrium of an insurance market where applicants for insurance have a duty of good faith when they reveal private information about their risk type insurers can at some cost verify the type of insureds who file a claim and they are allowed to retroactively void the insurance contract if it is established that the policyholder has misrepresented his risk when the contract was taken out however insurers cannot precommit to their risk verification strategy the paper analyzes the relationship between second best pareto optimality and the insurance market equilibrium in a game theoretic framework it characterizes the contracts offered at equilibrium the individuals contract choice as well as the conditions under which an equilibrium exists

renewable energy investments under different support schemes a real options approach abstract this paper adopts a real options approach to analyze investment timing and capacity choice for renewable energy projects under different support schemes the main purpose is to examine investment behavior under the most extensively employed support schemes namely feed in tariffs and renewable energy certificate trading we consider both multiple sources of uncertainty under each support scheme and uncertainty with respect to any change of support scheme and we obtain both analytical when possible and numerical solutions in a nordic case study based on wind power we find that the feed in tariff encourages earlier investment nevertheless as investment has been undertaken renewable energy certificate trading creates incentives for larger projects in our baseline scenario and taking the fixed feed in tariff as a base the revenue required to trigger investments is 61 higher with renewable certificates at the same time investment capacity is 61 higher

income tax compliance in a principal agent framework previous analyses have modeled income tax evasion as a portfolio problem deriving the optimal consumption of the risky asset unreported income under the assumption of a fixed probability of detection the purpose of this paper is to examine some of these issues in tax compliance starting from a different set of assumptions in particular we compare alternative audit policies to the standard random audit policy we focus on an audit cutoff policy in which an agent triggers an audit if his or her reported income is too low and is not audited if reported income is sufficiently high this paper establishes two major results first random audit rules are weakly dominated by audit cutoff rules it can be shown given lump sum taxes and fines that these audit cutoff rules are the least cost policies which induce truthful reporting of income second the dominance of audit cutoff rules over random audit rules holds for lump sum as well as proportional taxation in fact the equilibrium consequences of the two are equivalent

providers affiliation insurance and collusion abstract this paper provides a theoretical analysis of the benefits for an insurance company to develop its own network of service providers when insurance fraud is characterized by collusion between policyholders and providers in a static framework without collusion exclusive affiliation of providers allows insurance companies to recover some market power and to lessen competition on the insurance market this entails a decrease in the insured s welfare however exclusive affiliation of providers may entail a positive effect on customers surplus when insurers and providers are engaged in a repeated relationship in particular while insurers must cooperate to retaliate against a fraudulent provider under non exclusive affiliation no cooperation is needed under exclusive affiliation in that case an insurer is indeed able to reduce the profit of a malevolent provider by moving to collusion proof contracts when collusion is detected and this threat may act as a deterrent for fraudulent activities this possibility may supplement an inefficient judicial system it is thus a second best optimal anti fraud policy

the effect of unionism on fringe benefits this study analyzes the impact of unionism on fringes paid to production workers using data on individual establishments it compares fringe expenditures in establishments having the same level of compensation per hour and finds that unionism raises the share of compensation allotted to fringes particularly to pensions vacation pay and life accident and health insurance in addition since unionism also raises the straight time wage rate itself a prime determinant of expenditures on fringes unionism has a very sizeable impact on total fringe expenditures as well as on the fringe share of compensation the union fringe effect exceeds in percentage terms the union wage effect and is sufficiently large to suggest that standard union wage studies understate the union effect on total compensation the study also compares the fringe expenditures of production and non production workers within the same establishment controlling for within establishment pay policies the findings suggest that the pres

equilibrium with new investment opportunities abstract we develop a general equilibrium model where there are opportunities to abandon existing technologies and adopt new technologies we study how technologies change endogenously in an equilibrium and the effect of technological changes on the equilibrium we find that locally the equilibrium resembles that from cox et al 1985 econometrica 53 363 384 globally the equilibrium can be viewed as the equilibria from cir economies pasted together we also find that while the equilibrium consumption and security price processes are continuous the equilibrium return processes experience jumps at the time of technological changes

estimating the prevalence and cost of yield switching fraud in the federal crop insurance program producers who manipulate and switch their reported crop yields between separately insured units can increase their insurance indemnities substantially a statistical model that identifies potential yield switching is developed the unrestricted statistical model is singular and is identified by imposing a mixture of system estimable and system nonestimable restrictions lower bound estimates of yield switching fraud incidence and costs are obtained by applying the model to 207 067 multiple unit producers who purchased crop insurance in 1998

a compound option model of production and intermediate inventories this article extends the option approach to valuing real assets by modeling the firm as a two stage process with bounded output rates in which the output of the first stage may be held as work in process in this setting the real asset becomes a compound option which if exercised gives the option to finish the work in process and sell the output as its final payoff the existence of intermediate inventories may arise as an optimal investment strategy for exploiting possible future price increases the framework allows us to analyze the effect of uncertainty on output rates and the effect of interest rates changes on inventory levels copyright 1993 by university of chicago press

single factor heath jarrow morton term structure models based on markov spot interest rate dynamics this paper considers the class of heath jarrow morton term structure models where the spot interest rate is markov and the term structure at time t is a function of time maturity and the spot interest rate at time t a representation for this class of models is derived and i show that the functional forms of the forward rate volatility structure and the initial forward rate curve cannot be arbitrarily chosen i provide necessary and sufficient conditions indicating which combinations of these functional forms are allowable i also derive a partial differential equation representation of the term structure dynamics that does not require explicit modeling of both the market price of risk and the drift term for the spot interest rate process using the analysis presented in this paper a class of intertemporal term structure models is derived

understanding the relation between accruals and volatility a real options based investment approach abstract accruals are fundamental to financial reporting and are the underlying innovation of accounting despite this accounting research has provided little understanding of how economic forces affect a firm s level of accruals and limited guidance for forming expectations of accruals based on ex ante firm characteristics we consider accruals as a form of investment and examine whether theoretical predictions from a real options based investment framework provide insight into the relation between accruals and the ex ante expected volatility faced by the firm specifically the theory predicts that higher volatility dampens investment because firms prefer to wait and see instead of investing immediately consistent with this theory we document a robust negative relation between year ahead net working capital accruals and expected volatility we also predict and find that the negative association between year ahead net working capital accruals and expected volatility is less pronounced for distressed firms and more pronounced for firms with a longer operating cycle and that current asset accruals are more sensitive to volatility than current liability accruals finally we find that the residuals from an investment based expected accrual model outperform those from the widely used performance adjusted modified jones model in identifying companies that just meet or beat analysts earnings forecasts collectively our findings suggest that the investment perspective of accruals and in particular the real options based investment framework provide useful insights for forming expectations of accruals

waiting to invest investment and uncertainty the textbook analysis that accepts all projections with positive net present values as positive is quite generally wrong the ability to delay a project means that almost every project competes with itself postponed with uncertain interest rates even the simplest of projects has an option value the effect of interest rate uncertainty on the optimal delay of investment is sizable this implies that the rate of aggregate investment will depend on both the level of the real interest rate and the degree of interest rate uncertainty furthermore it is not necessarily true that investment rises with a fall in interest rates copyright 1992 by university of chicago press

the implications of job matching for retirement health insurance and leave benefits this paper focuses on potential reasons for variations in benefit packages in particular variations in the availability of retirement health insurance and leave an important feature of our analysis is that we do not start with heterogeneity in workforces to explain fringe benefit differences across employers it would be straightforward to say that differences across employers in fringe benefit packages simply represent differences in the preferences of their workforces rather we focus on heterogeneity across employers as an important source of differences in fringe benefit packages preliminary evidence is found supportive of the predicted differences in the likelihood of such fringe benefits as retirement health insurance and leave based upon two variables the extent of on the job training offered by the employer and the size of the employers we also examine the implied links between these fringe benefits and such variables as average tenture and the proportion of the workforce that is female

a duration model of irreversible oil investment theory and empirical evidence the aim of this paper is to analyse the implications of the theory of irreversible investment under uncertainty for investment in oil fields on the united kingdom continental shelf ukcs we consider the problem of an operator who owns a licence to develop and extract oil from a field of known capacity an intertemporal optimization model in discrete time is developed to derive decision rules for the timing of the irreversible development investment and for the optimal rate of extraction model simulation is then used to describe the properties of the numerical solutions the predictions of the theory on the determinants of the irreversible investment decision are then examined using statistical duration analysis data on the length of the time period between discovery and development are available for individual fields on the ukcs we measure the duration of the irreversible investment gestation lag for each field and test the model by assessing the significance of the theoretical variables in explaining the significance of such a lag both our theoretical model and our empirical results suggest the importance of a nonlinear interaction of the level of oil prices and the volatility of oil prices in determining the development lag the simulation of our theoretical model shows a nonlinear impact of oil price volatility on the trigger level of oil prices our empirical results suggest that the effect of price volatility is a function of the expected price level with increased price volatility having a positive impact on the duration of investment appraisal when expected prices are low and a negative impact when they are high

managerial incentives investment and aggregate implications scale effects we explore a managerial model of investment behaviour in which an incentive problem arises because one input factor managerial effort is not publicly observed we show that an optimal incentive contract leads to investment levels which are below first best in low states and that this phenomenon can account for greater cyclical variability in aggregate production and investment from the perspective of incentive scheme design a special feature of the model is that screening takes place over two variables investment and output rather than one as is customary

investment under uncertainty the case of replacement investment decisions we analyze the determinants of replacement investment decisions in a contingent claims model with maintenance and operation cost uncertainty we find that the optimal time between replacements is increasing in the volatility of cost the purchase price of a new asset and the corporate tax rate and is decreasing in the systematic risk of cost the salvage value of the asset and the investment tax credit the optimal time between replacements can either increase or decrease with an increase in the depreciation rate extensions of the model to examine the effects of technological and tax policy uncertainty on replacement investment decisions give intuitive but striking results uncertainty about the arrival of a technological innovation that would decrease maintenance and operation cost results in a significant decrease in replacement investment uncertainty in a tax law change that would encourage investment decreases current investment and uncertainty in a tax law change that would discourage investment increases current investment

small firm investment and financing decisions an option value approach this paper reviews and discusses recent developments undergone by investment theory and tries to address both financial and real decisions within an uncertain environment here the italian economy according to the recent option value approach to investment if differing degrees of reversibility characterize the accumulation process by groups of firms small and larger firms we should expect their investment decisions to differ under uncertainty on the other hand asset reversibility has an influence on firm financing policy given the observed relationship between asset and liability composition assuming a different degree of investment reversibility for small and larger firms we explore how they react to interest rate uncertainty using the italian experience during the 1980s as a benchmark the main result of this paper is that interest rate uncertainty exerts a negative influence on firms investment demand the relationship is stronger for large firms than for small firms another result is that firm leverage also shows a negative relationship with interest rate uncertainty

self reporting investigation and evidentiary standards abstractself reporting schemes have become a substantial part of law enforcement this paper analyzes the optimal use of such schemes when the authority cannot commit to an ex post investigation effort i show that this leads to a negative relationship between self reporting incentives and investigation effort three main conclusions arise first violators self report with a probability of 1 if and only if full amnesty is offered second self reporting schemes are not efficient when the level of harm of the act is high finally authorities can increase the incentives to self report when they convict without hard evidence however a hard evidence standard provides more deterrence and is weakly welfare superior

workers compensation and moral hazard two types of moral hazard have been determined the first type is related to self prevention activities affecting probabilities of accidents the second type relates to the agent s activities whenever the accident occurs the authors objective consists of presenting an empirical measure of the significance of this second type of moral hazard in the workers compensation market the main challenge in isolating moral hazard consists of dividing into two parts the total variation in recovery time with respect to changes in insurance coverage 1 the variation of consumption corresponding to a given level of information and 2 the variation of consumption due to greater asymmetrical information the methodology used in this study separates these two variations copyright 1991 by mit press

auditing claims in the insurance market with fraud the credibility issue abstract this paper characterizes the equilibrium of an insurance market where opportunist policyholders may file fraudulent claims we assume that insurance policies are traded in a competitive market where insurers cannot distinguish honest policyholders from opportunists the insurer policyholder relationship is modelled as an incomplete information game in which the insurer decides to audit or not the market equilibrium depends on whether insurers can credibly commit or not to their audit strategies we show that a no commitment equilibrium results in a welfare loss for honest individuals which may even be so large that the insurance market completely shuts down we also show that transferring monitoring costs to a budget balanced common agency would mitigate the commitment problem

moment based estimation of stochastic volatility abstract this paper makes use of the distributional information contained in high frequency data to test for the specification of the functional form of the volatility process within the class of stochastic volatility models it s calculus is implemented in order to obtain the first and second conditional moment of the driving stochastic differential equation for the volatility process these analytical expressions are augmented by their lag and lag squared and are used to form the corresponding gmm estimator the base case stochastic volatility model is extended to allow for the leverage effect and jumps in returns empirical estimation confirms the presence of fast mean reversion in volatility and jumps in returns for the 5 min s p 500 stock market index further estimation results also seem to indicate the presence of jumps in the volatility process that are correlated to the jumps in returns

samurai accountant a theory of auditing and plunder a risk neutral principal wishes to exact a payment from a risk neutral agent whose wealth he does not know but may verify through a costly auditing procedure we characterize efficient schemes for the principal when he is allowed to choose schedules for preaudit and postaudit payments and audit probabilities subject to the constraint that only monetary incentives can be used and that the principal may never make a net payment to the agent the main results are that efficient schemes involve preaudit payments which are increasing in the agent s wealth audit probabilities are decreasing in the agent s wealth and also satisfy certain constraints as equalities in general such schemes involve stochastic auditing and rebates after an audit in this paper we analyse the problem of a principal extracting wealth from an agent who is reluctant to part with it and is also better informed than the principal as to the amount he owns we assume that the principal has a costly means of discovering the agent s

optimal land development decisions abstract this research models the development decision when net rents are growing geometrically and uncertainly and capital intensity is variable we derive simple rules for the optimal timing of land development projects based on the commonly used internal rate of return and net present value criteria we show that even under certainty projects are optimally delayed beyond the point where net present value becomes nonnegative if expected cash flows are growing the ability to vary capital intensity also raises the specter of perverse responses where increases in interest rates accelerate investment decisions the positive responses occur when growth rates are high or uncertainty is high

comparative dynamics of an equilibrium intertemporal asset pricing model this paper uses recursive competitive theory to develop a general equilibrium asset pricing model in this framework all prices and rates of return are endogenously determined thus enabling us to analyze the effects of changes in preferences technological uncertainty and expectations on the structure of security prices in particular we focus on how the market risk premium varies with changes in the underlying economic environment an issue which other asset pricing models have chosen not to address

capital rationing and organizational slack in capital budgeting this paper reconciles three stylized facts about capital budgeting in firms and shows that they are tied to the presence of asymmetric information among the several members of the firm each with his or her own objectives and decisions the facts of interest are 1 the existence of organizational slack 2 the rationing of resources within organizations 3 the stated cut off rate for accepting capital projects in firms is often greater than the market rate of interest organizational slack is defined as the excess of resources allocated over the minimum necessary to accomplish the tasks assigned resource rationing is defined as the under allocation of resources i e an increase in the amount allocated would generate revenues in excess of its costs rationing and slack are both manifestations of ex post inefficiencies an lp model is used to show that these inefficiencies can occur in ex ante efficient organizational designs when asymmetric information is present the optimal allocation policy involves a hurdle rate criterion in which the hurdle rate is strictly in excess of the cost of capital thus inducing rationing in some states of the world typically resources are optimally allocated such that slack exists in other states the optimal allocation policy trades off these two inefficiencies