the inflation tax in a real business cycle model money is incorporated into a real business cycle model using a cash in advance constraint the model economy is used to analyze whether the business cycle is different in high inflation and low inflation economies and to analyze the impact of variability in the growth rate of money in addition the welfare cost of the inflation tax is measured and the steady state properties of high and low inflation economies are compared

parents discount rates for child quality contemporary discussions of economic growth make human capital or knowledge accumulation its primary engine 25 human capital as the lead component of the stock of wealth defines a developed economy becker and murphy 4 show that human capital both increases and is increased by the scope of the market its rate of return rises with the size of its stock 5 human capital also plays significant roles in models of human fertility choice 40 population and environmental degradation 11 34 capital mobility 3 and endogenous technological progress 33 a substantial portion of an adult s human capital is accumulated during childhood children as children however cannot independently contract for the resources required to support investments in this human capital though nearly every society grants parents wide discretion about the nurture they provide their children little is understood about what motivates investment by one generation in another the relative importance of different investment modes or the discount rates which parents apply whatever the motivation and the mode because of the long time span between birth and adulthood parents discount rates potentially exert great leverage upon the investment decisions they make for their children knowledge of these discount rates is a prerequisite to acquiring an improved understanding of the internal decision processes of the household a collective decision unit which economics mostly treats as a black box 1 important policy questions as well as scientific accuracy and logical consistency demand knowledge of the discount rates parents apply to investments in their children healthier better educated and wealthier children have a better chance in life but there is no evident reason to suppose that intrafamily discount rates are socially optimal 2 many of the private reactions and behaviors which reinforce or temper the intended effects of public policies are internal to the household when these intended effects have a substantial temporal dimension parental discount rates will be influential for example increased public investments in children can be neutralized

does it matter how monetary policy is implemented abstract in the u s existing monetary base measures add an adjustment factor for changes in reserve requirement ratios to high powered money implicitly the monetary base assumes that the economic effects of changes in reserve requirements are identical to those due to changes in high powered money theory however does not generally support the prediction that the two policy tools will have the same economic effects structural vars are estimated to compare the short run paths of inflation and output growth under two different types of policy shocks in doing so this analysis gives one a measure of the costs associated with this implicit equivalence assumption the evidence is consistent with the hypothesis that the federal reserve at least partially offsets reserve requirement changes with open market operations and the hypothesis that dynamic explanations of macroeconomic variables are improved by separating reserve requirement changes from other monetary policy moves

trade credit in a monetary economy abstract this paper examines the importance of financial and technological stochastic trends in the context of a stochastic dynamic general equilibrium monetary economy with multiple means of payment in contrast to earlier empirical work we find support for both a long run substitution condition between money trade credit and interest rates as well as a long run transactions demand for alternative payments media consistent with real business cycle frameworks

tracking the market dynamic pricing and learning in a changing environment dynamic pricing of commodities without knowing the exact relation between price and demand is a much studied problem most existing studies assume that the parameters describing the market are constant during the selling period this severely reduces their practical applicability since in reality market characteristics may change all the time without the firm always being aware of it in the present paper we study dynamic pricing and learning in a changing market environment we introduce a methodology that enables the price manager to hedge against changes in the market and provide explicit upper bounds on the regret a measure of the performance of the firm s pricing decisions in addition this methodology guides the selection of the optimal way to estimate the market process we provide numerical examples from practically relevant situations to illustrate the methodology

optimal monopolist pricing under demand uncertainty in dynamic markets we examine pricing policy for a monopolist facing uncertain demand in a market characterized by dynamics on the demand side such as diffusion or saturation effects and or on the cost side experience curve effects our model explicitly incorporates the impact of demand uncertainty and thus allows us to analyze the implications of uncertainty on the optimal price path by contrasting the stochastic policy with the corresponding deterministic policy we begin with an analysis of the general model and then focus on several special cases based on well known demand specifications to gain more specific insights and to suggest directional guidelines for dynamic pricing decisions in an uncertain environment in general the interaction among uncertainty demand and or cost dynamics and firm s discount rate thus farsighted firms operating under dynamic market conditions with high demand uncertainty such as high tech companies with innovative products for consumer or industrial markets should attach partic

international trade and air pollution damages in the united states abstract this paper investigates the health and economic consequences of trade due to various air pollutants embodied in exports and imports we compare the us emissions generated for us exports and those that were avoided by importing an input output framework of the us economy is employed together with a comprehensive database on damages expressed in monetary terms generated by pollutants as estimated by muller et al 2011 we find that damages associated with international trade in 2002 were considerable the net result is that damages were avoided through trade and that these avoided damages amounted to 2 7 of the us trade deficit and 3 4 of the us value added associated with trade moreover the computed damage to value added ratios differed greatly across industries exports in some industries are so hazardous that more than half of the value added gained from extra exports disappeared due to environmental damages these findings imply that the us might benefit more from trade by increasing its exports more in low damage intensive products than in high damage intensive products

dynamic pricing with real time demand learning in many service industries the firm adjusts the product price dynamically by taking into account the current product inventory and the future demand distribution because the firm can easily monitor the product inventory the success of dynamic pricing relies on an accurate demand forecast in this paper we consider a situation where the firm does not have an accurate demand forecast but can only roughly estimate the customer arrival rate before the sale begins as the sale moves forward the firm uses real time sales data to fine tune this arrival rate estimation we show how the firm can first use this modified arrival rate estimation to forecast the future demand distribution with better precision and then use the new information to dynamically adjust the product price in order to maximize the expected total revenue numerical study shows that this strategy not only is nearly optimal but also is robust when the true customer arrival rate is much different from the original forecast finally we extend the results to four situations commonly encountered in practice unobservable lost customers time dependent arrival rate batch demand and discrete set of allowable prices

rates of time preference and valuations of the duration of life abstract this paper develops a multi period markov model of the lifetime choice of occupational fatality risks the empirical model analyzes the wage effects of job risks using the 1982 university of michigan panel study of income dynamics in conjunction with death statistics from the u s national traumatic occupational fatality survey evidence regarding workers intertemporal choices with respect to risks with long term implications is broadly consistent with rational behavior workers implicit real rate of time preference with respect to future life years equals approximately 11 percent this rate of time preference decreases with education

simultaneously learning and optimizing using controlled variance pricing price experimentation is an important tool for firms to find the optimal selling price of their products it should be conducted properly since experimenting with selling prices can be costly a firm therefore needs to find a pricing policy that optimally balances between learning the optimal price and gaining revenue in this paper we propose such a pricing policy called controlled variance pricing cvp the key idea of the policy is to enhance the certainty equivalent pricing policy with a taboo interval around the average of previously chosen prices the width of the taboo interval shrinks at an appropriate rate as the amount of data gathered gets large this guarantees sufficient price dispersion for a large class of demand models we show that this procedure is strongly consistent which means that eventually the value of the optimal price will be learned and derive upper bounds on the regret which is the expected amount of money lost due to not using the optimal price numerical tests indicate that cvp performs well on different demand models and time scales this paper was accepted by assaf zeevi stochastic models and simulation

environmental accounting for pollution in the united states economy this study presents a framework to include environmental externali ties into a system of national accounts the paper estimates the air pollution damages for each industry in the united states an inte grated assessment model quantifies the marginal damages of air pol lution emissions for the us which are multiplied times the quantity of emissions by industry to compute gross damages solid waste com bustion sewage treatment stone quarrying marinas and oil and coal fired power plants have air pollution damages larger than their value added the largest industrial contributor to external costs is coal fired electric generation whose damages range from 0 8 to 5 6 times value added jel e01 l94 q53 q56

efficient estimation of structural hedonic systems when a product or job is not homogeneous but instead embodies several different characteristics it is difficult to use price information about the product to learn anything about the structure of the supply and demand for the embodied characteristics s rosen 1974 highlighted this problem and suggested that the estimated slope of the price characteristic relation the marginal price could be used instead of standard prices in otherwise standard estimation of the supply and demand system however recently brown and h rosen 1982 brown 1983 and mendelsohn 1985 have pointed out that this method is applicable only when the marginal price depends on variables not found in the supply and demand equations in this paper we show that since the hedonic system matches consumers with high demand for the characteristic to firms with low costs of producing it exogenous variables from the supply equation are not valid instruments in the demand equation and vice versa therefore even when the brown rosen mendelsohn brm condition holds estimation of the identified system by standard simultaneous equations techniques will produce inconsistent estimates we then show that the system can be identified despite the absence of the standard instruments and develop an efficient estimator for the identified system since cross equation constraints make estimation of hedonic systems particularly vulnerable to specification error we also consider some specification tests in this section we consider a simple model with only one characteristic the extension to several characteristics is straightforward the basic model developed by rosen can be described as follows firms with different technologies produce products which provide consumers with varying levels of some characteristic z each consumer buys one unit of the good the product is such that an amount of z from two units of the good provides less utility than the same amount of z embodied in a single unit e g acceleration in a car safety in a job consumers

monetary information and monetary neutrality abstract the monetary theory of business fluctuations in market clearing models constructed under the rational expectations assumption as advanced by lucas and others involves the idea that suppliers and demanders will typically misinterpret movements in the general level of prices as representing more or less favorable relative opportunities for real activities the present paper examines the consequences of agents possessing contemporaneous monetary information of a potentially noisy variety for the non neutrality of unanticipated monetary events within such an equilibrium business cycle model this modification of the information structure has the strong testable implication that real activity will be uncorrelated with contemporaneous monetary data

discounting environmental health risks new evidence and policy implications abstract when environmental policy benefits accrue over a long time horizon the valuation problem becomes more complex some analysts support the use of financial market interest rates for discounting deferred health benefits while others argue against discounting altogether we address the discounting issue by estimating implicit discount rates for deferred health benefits exhibited by workers in their choice of job risk wage responses to variation in life years at risk provide direct estimates of the discount rate that workers apply to their future utility the estimated real discount rate equals approximately 2 consistent with financial market rates for the period

a new product growth for model consumer durables this article originally appeared in management science january 1969 volume 15 number 5 pp 215 227 published by the institute of management sciences a growth model for the timing of initial purchase of new products is developed and tested empirically against data for eleven consumer durables the basic assumption of the model is that the timing of a consumer s initial purchase is related to the number of previous buyers a behavioral rationale for the model is offered in terms of innovative and imitative behavior the model yields good predictions of the sales peak and the timing of the peak when applied to historical data a long range forecast is developed for the sales of color television sets

modeling and estimation in changing market environments in many marketing contexts managers and researchers are concerned with modeling the response of performance variables e g sales or market share to one or more decision variables e g advertising or price or other predictor variables modeling efforts in these contexts may consider either the response of an individual entity such as a single consumer or firm or the aggregate response of a collection of entities usually they involve the specification of mathematical models where the unknown parameters are assumed a priori to be constant these unknown parameters are then estimated by fitting the models to available data using some form of regression analysis the rationale for expending effort in this area is the expectation that through activities of this type the decision maker gains understanding of the market process and therefore is able to make better decisions the response of a firm s market performance to decision predictor variables may be moderated by numerous external factors by competitive factors and by the levels of the firm s decision variables for example the sensitivity of sales to price may vary depending on time of year overall economic conditions and or levels of advertising or promotion certain characteristics of marketing research is often concerned with the modeling of market response over time however the nature of the relationships being modeled may change due to shifts in consumer tastes changing marketing strategies competition and other reasons currently used constant parameter models are not capable of adequately reflecting such changing market environments therefore alternate modeling approaches should be considered recent work in statistics and econometrics suggests the appropriateness of variable parameter models for such problems this methodology permits model coefficients to change over time in this paper various potentially useful variable parameter models are discussed reported marketing applications are examined and issues pertaining to the application of this relatively new methodology to marketing problems are investigated professor winer gratefully acknowledges support from the faculty research fund of the graduate school of business columbia university professor wildt was on the faculty of the university of georgia when the paper was written

dynamic pricing and learning with finite inventories we study a dynamic pricing problem with finite inventory and parametric uncertainty on the demand distribution products are sold during selling seasons of finite length and inventory that is unsold at the end of a selling season perishes the goal of the seller is to determine a pricing strategy that maximizes the expected revenue inference on the unknown parameters is made by maximum likelihood estimation we show that this problem satisfies an endogenous learning property which means that the unknown parameters are learned on the fly if the chosen selling prices are sufficiently close to the optimal ones we show that a small modification to the certainty equivalent pricing strategy which always chooses the optimal price w r t current parameter estimates satisfies regrett olog2t where regrett measures the expected cumulative revenue loss w r t a clairvoyant who knows the demand distribution we complement this upper bound by showing an instance for which the regret of any pricing policy satisfies i log t

on the minimax complexity of pricing in a changing environment we consider a pricing problem in an environment where the customers willingness to pay wtp distribution may change at some point over the selling horizon customers arrive sequentially and make purchase decisions based on a quoted price and their private reservation price the seller knows the wtp distribution pre and postchange but does not know the time at which this change occurs the performance of a pricing policy is measured in terms of regret the loss in revenues relative to an oracle that knows the time of change prior to the start of the selling season we derive lower bounds on the worst case regret and develop pricing strategies that achieve the order of these bounds thus establishing the complexity of the pricing problem our results shed light on the role of price experimentation and its necessity for optimal detection of changes in market response wtp our formulation allows for essentially arbitrary consumer wtp distributions and purchase request patterns

misperceived job hazards and welfare abstract bayesian workers produce chemicals hazardously in one sector of a two sector economy having one safe sector adopting an expected ex post welfare perspective we show workers misperceptions of hazards entail a classic externality we characterise chemicals competitive monopoly and socially efficient outputs assuming workers receive identical wage accident compensation contracts under each the value of information which induces workers to place greater stress on firms safety records or sharpens their priors and extend the standard monopoly welfare loss index for sufficient conditions for monopoly to be preferred to competition in chemicals and for size ranking monopoly and efficient chemical outputs

dynamic monopoly pricing under a poisson type uncertain demand this article explores dynamic pricing strategies in the presence of uncertainty diffusion dynamics experience curve effects and a poisson type of uncertainty in the demand are incorporated in a model using the framework of a stochastic control problem the results indicate that the movement of the expected price depends on the relative strength of the contingent effects and the effects of the experience if the direction of the former is opposite to the latter and is substantial enough to dominate it the expected price path will show a pattern different from the one predicted by a deterministic model copyright 1992 by university of chicago press

oil and the macroeconomy since world war ii all but one of the u s recessions since world war ii have been preceded typically with a lag of around three fourths of a year by a dramatic increase in the price of crude petroleum this does not mean that oil shocks caused these recessions evidence is presented however that even over the period 1948 72 this correlation is statistically significant and nonspurious supporting the proposition that oil shocks were a contributing factor in at least some of the u s recessions prior to 1972 by extension energy price increases may account for much of post opec macroeconomic performance

dynamic inconsistency in valuing environmental goods abstract intertemporal tradeoffs continue to intrigue both academics and policy makers this paper explores patterns of dynamic inconsistency in valuing environmental goods we develop a model that predicts an individual will value extended access to an environmental good less than avoiding delayed access if time and money are complementary this value disparity results in a low marginal rate of time preference for avoiding delayed access and a high rate for acquiring extended access using the contingent valuation method we find behavior partially consistent with predictions marginal rates of time preference are highly situation and individual specific

time preference and life cycle consumption with endogenous survival we provide a structural theory of time preference and derive a functional form of intertemporal preferences by postulating that individuals make their life cycle consumption choices as if to maximize expected lifetime this yields a nontime separable expected utility representation where the inverse of the coefficient of intertemporal substitution exceeds the coefficient of relative risk aversion the rate of time preference depends on the inverse of expected remaining lifetime and the effect of age on the productivity of consumption in affecting health the preference formulation is applied in a standard intertemporal consumption model to illustrate the implied life cycle consumption choices

sectoral shifts and cyclical unemployment a substantial fraction of cyclical unemployment is better characterized as fluctuations of the frictional or natural rate than as deviations from some relatively stable natural rate shifts of employment demand between sectors of the economy necessitate continuous labor reallocation since it takes time for workers to find new jobs some unemployment is unavoidable this paper presents evidence that most of the unemployment fluctuations of the seventies unlike those in the sixties were induced by unusual structural shifts within the u s economy simple time series models of layoffs and unemployment are constructed that include a measure of structural shifts within the labor market these models are estimated and a derived natural rate series is constructed

valuing future risks to life environmental policies that alter future mortality rates may affect both current and future generations this paper examines willingness to pay for future risk reductions from the perspective of the current generation the life cycle consumption saving model implies that an individual discounts future risks to himself at the consumption rate of interest if capital markets are perfect the consumption rate equals the market rate of interest otherwise the consumption rate exceeds the market rate and numerical results suggest that the implied discount factor may be substantial the overlapping generations model implies that a member of the current generation discounts the value of risks to future generations at the rate at which current consumption is substituted for a bequest

the economics of risks to life this study asks two questions 1 what is the net value to the representative individual over his life time of activities that alter age specific mortality risks 2 what is the cost to the representative individual of activities that take a life at random at a given age results derived from an economic demographic model with full age specific accounting have a strong actuarial flavor alterations in the mortality schedule caused say by a medical breakthrough should be assessed on the utility of expected additional life years production and reproduction less expected social costs of support loss of life at a specific age due to an accident say should be assessed on the opportunity costs of expected lost years of living lost production and reproduction less expected social support costs the results show that current methods in general leave out an important social transfer term that value of a life lost is highly age dependent and that the degree of diminishing returns to consumption is crucial in calculations of the economic cost of risks

the u s embargo act of 1807 its impact on new england money banking and economic activity the u s embargo act of 1807 its impact of new england money banking and economic activity i introduction the period 1793 through 1807 was one of unusual prosperity in the united states paced by the growth of american carrying and re export trade 1 the embargo act of 1807 however supposedly halted this period of growth and prosperity the act was an attempt by a new nation to persuade great britain and france to refrain from seizing neutral american ships by prohibiting the trading of certain goods between the united states and other countries the provisions of the act forbade u s ships to sail with cargoes to foreign ports the act was in effect from december 1807 through march 1809 historians generally assert that the embargo had at least three important consequences of the u s economy the embargo allegedly initiated a severe economic depression led to a signficant increase in the level of smuggling between the united states and other countries and was instrumental in bringing about an expansion of domestic manufacturing that started the united states on a path to self sufficiency with respect to the depression effects of the embargo mcmaster 1903 415 described the economic losses of the period as follows the newspapers were full of insolvent debtor notices all over the country the court house doors the tavern doors the post offices the cross road posts were covered with advertisements of sheriffs sales in the cities the jails were not large enough to hold the debtors at new york during 1809 thirteen hundred men were imprisoned for no other crime than being ruined by the embargo a traveler who saw the city in this day of distress assures us that it looked like a town ravaged by pestilence the counting houses were shut or advertised to let the coffee houses were almost empty the streets along the water side were almost deserted the ships were dismantled their decks were cleared their hatches were battened down illegal trade arose as people searched for other sources of income malone and rauch 1960 118 described the situation in the following manner the ancient art of smuggling was revived particularly along the land frontier with canada where drovers of wagon trains shot down federal agents and concerning the stimulative effect of the embargo upon the rise in domestic manufacturing north 1961 56 stated the closing off of the import trade was effective in promoting the rise of domestic manufactures and capital which had been devoted to shipping and foreign commerce was partially absorbed in a rapid growth of industry before 1808 only fifteen cotton mills had been built in the united states one in 1791 one in 1795 two more in 1803 and 1808 by the end of 1809 eighty seven additional mills had been constructed and capacity had been increased from eight thousand spindles in 1808 to thirty one thousand at the end of 1809 and an estimated eighty thousand by 1811 other branches of manufacturing also made substantial gains through 1814 similar comments concerning the embargo are abundant in most economic history texts and in numerous articles devoted to the subject while dramatic such discussion is based on casual empiricism at best and little in the way of rigorous economic analysis has ever been applied to discern the actual effects of the embargo upon the u s economy as usual with such historically remote events a paucity of data on such variables as real income output and employment constitutes the major obstacle to empirical analysis until recently economic historians have attempted to make inferences about the effects of the embargo upon the economy by relying primarily upon data reflecting the volume of import export and re export trade domestic and imported price indices and governmental duties 2 in a recent article for example frankel 1982 argues that an examination of british shipping statistics rather than those of the u

liquidity loanable funds and real activity abstract this paper develops a general equilibrium model of two traditional explanations of the monetary black box linking money and real activity the liquidity effect and the loanable funds effect these effects are modeled with a monetary production economy in which central bank injections of cash are funnelled into the economy through the credit market since only borrowers have direct access to the newly injected cash monetary injections cause nominal interest rates to fall if firms are borrowers then monetary injections also increase current and future real activity

an analytical framework for retailer price and advertising decisions for products with temperature sensitive demand abstractthe demand for weather sensitive products such as beverages ice creams or chocolate varies with changes in temperature yet retailers lack a framework to adapt the marketing mix element

innovation diffusion uncertainty advertising and pricing policies we develop and analyze a normative and structurally stochastic model of innovation diffusion by depicting the market at an aggregate level model dynamics are defined through the flow pattern of individuals that move from the innovation unaware stage to the innovation aware and ultimately to the adopter stages the stochastic evolution of this stage wise transition unfolds according to tractable stochastic processes and is influenced by such factors as price word of mouth and advertisement efforts in this environment techniques of contingent claims analysis and stochastic control theory are employed to obtain optimal pricing or advertising policies that maximize the value of the innovation to account for their optimal adjustment over time these policies are modeled as positive real valued adapted processes given this setting policy adjustments over time i e advertising or pricing are viewed as a value additive sequence of nested real options we present closed form analytic results regarding the optimal policies simulations provide a numeric insight to the models behavior

reserves announcements and interest rates does monetary policy matter the author provides evidence on the perceived existence of strong liquidity effect the analysis is based on the response of the term structure of interest rates to the weekly federal reserve announcements of bank reserves during the post october 1979 period it is shown that unanticipated changes in the mix between borrowed and nonborrowed reserves cause expected real interest rates to change after the announcement because they provide information about a future change in the supply of money a precise model is developed and tested during subperiods of nonborrowed and borrowed reserves targeting by the fed

learning and pricing with models that do not explicitly incorporate competition in revenue management research and practice demand models are used that describe how demand for a seller s products depends on the decisions such as prices of that seller even in settings where the demand for a seller s products also depends on decisions of other sellers the models often do not explicitly account for such decisions it has been conjectured in the revenue management literature that such monopoly models may incorporate the effects of competition because the parameter estimates of the monopoly models are based on data collected in the presence of competition in this paper we take a closer look at such a setting to investigate the behavior of parameter estimates and decisions if monopoly models are used in the presence of competition we consider repeated pricing games in which two competing sellers use mathematical models to choose the prices of their products over the sequence of games each seller attempts to estimate the values of the parameters of a demand model that expresses demand as a function only of its own price using data comprised only of its own past prices and demand realizations we analyze the behavior of the sellers parameter estimates and prices under various assumptions regarding the sellers knowledge and estimation procedures and we identify situations in which a the sellers prices converge to the nash equilibrium associated with knowledge of the correct demand model b the sellers prices converge to the cooperative solution and c the sellers prices have many potential limit points that are neither the nash equilibrium nor the cooperative solution and that depend on the initial conditions we compare the sellers revenues at potential limit prices with their revenues at the nash equilibrium and the cooperative solution and we show that it is possible for sellers to be better off when using a monopoly model than at the nash equilibrium

dynamic pricing with a prior on market response we study a problem of dynamic pricing faced by a vendor with limited inventory uncertain about demand and aiming to maximize expected discounted revenue over an infinite time horizon the vendor learns from purchase data so his strategy must take into account the impact of price on both revenue and future observations we focus on a model in which customers arrive according to a poisson process of uncertain rate each with an independent identically distributed reservation price upon arrival a customer purchases a unit of inventory if and only if his reservation price equals or exceeds the vendor s prevailing price we propose a simple heuristic approach to pricing in this context which we refer to as decay balancing computational results demonstrate that decay balancing offers significant revenue gains over recently studied certainty equivalent and greedy heuristics we also establish that changes in inventory and uncertainty in the arrival rate bear appropriate directional impacts on decay balancing prices in contrast to these alternatives and we derive worst case bounds on performance loss we extend the three aforementioned heuristics to address a model involving multiple customer segments and stores and provide experimental results demonstrating similar relative merits in this context

bayesian dynamic pricing policies learning and earning under a binary prior distribution motivated by applications in financial services we consider a seller who offers prices sequentially to a stream of potential customers observing either success or failure in each sales attempt the parameters of the underlying demand model are initially unknown so each price decision involves a trade off between learning and earning attention is restricted to the simplest kind of model uncertainty where one of two demand models is known to apply and we focus initially on performance of the myopic bayesian policy mbp variants of which are commonly used in practice because learning is passive under the mbp that is learning only takes place as a by product of actions that have a different purpose it can lead to incomplete learning and poor profit performance however under one additional assumption a constrained variant of the myopic policy is shown to have the following strong theoretical virtue the expected performance gap relative to a clairvoyant who knows the underlying demand model is bounded by a constant as the number of sales attempts becomes large this paper was accepted by gerard p cachon stochastic models and simulation

compensating wage differentials and the value of life abstract this paper examines the relationship between willingness to pay and compensating wage differential measures of the value of a statistical life it resolves some recently noted discrepancies between such measures

evidence of variable discount rates and non standard discounting in mortality risk valuation time discounting is central to the valuation of future health and mortality risks in public sector allocative decision making particularly for environmental policies with delayed health impacts using a risk risk trade off survey we elicit discount rates for fatality risks and establish discounting functional forms on both a sample and an individual level we find wide variation in implicit discount rates for fatality risk between individuals as well as between individual heterogeneity in discounting functional forms in aggregate the sample is best characterised by subadditive discounting our work has implications for the academic investigation of intertemporal choice involving mortality risks and potentially for the evaluation of policy options with delayed mortality risk outcomes a thought experiment cautions against the standard practice of assuming that exponential discounting characterises society s time preferences

intermediate monetary targets and macroeconomic fluctuations it is investigated whether the choice of intermediate target has altered macroeconomic fluctuations and whether the observed changes are consistent with predictions from economic theory since implications from the theoretical literature focus on the effects of structural disturbances an empirical analysis must identify these effects the structural vector autoregressive var technique estimates structural disturbances using restrictions from standard macroeconomic theory based on descriptions of actual targeting procedures by insiders to federal reserve policy decisions the intermediate target for the united states is identified as the interest rate from 1951 to 1969 and money from 1970 to 1986 var models are estimated over each subsample to assess whether the estimated structural disturbances cause endogenous variables to behave as economic theory predicts tests are also performed to assess whether or not the targeting rule affects the variance of endogenous variables attributable to structural sh

quality of life and the wtp for an increased life expectancy at an advanced age abstract in this study we report an attempt to measure the value adult swedes impute to an increased survival probability at high ages a rating scale between the worst possible quality of life 1 and the best possible quality of life 10 is used to indicate the quality of life a person expects to achieve at an advanced age we find a highly significant correlation between this quality measure and the insurance premium a person is willing to pay in exchange for a programme increasing the expected length of life by one year conditional on having survived until the age of 75 years the maximum insurance premium the average person is willing to pay for such a programme is less than 1500 the willingness to pay increase with a person s age but at a low rate the implied average marginal rate of time preference is about 1 percent

discounting cognition and financial awareness new evidence from a change in the military retirement system the choice given military personnel between an immediate cash payment of 30 000 or a more generous retirement pension permits us to estimate individuals personal discount rates pdrs the resulting pdrs about 7 for enlisted personnel and 2 4 3 for officers are precise and are correlated with a variety of other financial behaviors the pdr is negatively related to educational attainment and the armed forces qualification test but cognition seems to operate through channels other than being better informed better informed individuals were not always measured to be more patient jel d91 d14

on what basis should health be discounted the discount rate to be applied in health care programmes should be based on the time preference rate for health and this same rate should be applied to costs as well due to the limited tradeability of health when eliciting its time preference rate the intertemporal choices must be framed in such a way as to resemble as closely as possible those facing health planners and decision makers

differences in education and earnings across racial and ethnic groups tastes discrimination and investments in child quality viewing the united states as comprising many racial and ethnic groups it is shown that group differences in earnings schooling and rates of return from schooling are striking and that the groups with higher levels of schooling also have higher rates of return these data are shown to be consistent with a child quality investment model but they are not consistent with the hypotheses that the primary determinants of schooling level are discrimination minority group status differences in time preference discount rates or tastes for schooling group differences in fertility and female labor supply are examined as partial determinants of investment in child quality policy implications are discussed this paper was originally presented at the 1987 annual meeting of the population association of america see population index vol 53 no 3 fall 1987 p 443 excerpt

heterogeneous rates of time preference and the decision to smoke individuals with higher personal rates of time preference will be more likely to smoke although previous studies have found no evidence of a relationship between smoking and rates of time preference analysis of implicit rates of time preference associated with workers wage fatality risk trade offs indicates that smokers have higher rates of time preference with respect to years of life current smokers have an implied rate of time preference of 13 8 as compared to 8 1 for nonsmokers current smokers who are blue collar workers have rates of time preference with respect to years of life of 16 3 compared to 7 8 for nonsmoking blue collar workers jel i12 d81 d91 smoking imposes substantial health risks many of which are not immediate and will also have long term effects on smokers well being recent estimates of the lost life expectancy due to smoking are 2 4 years for women and 4 4 years for men with some studies indicating even more substantial losses 1 given the latency period before many of the most severe smoking risks are manifested people with greater individual rates of time preference will be less influenced by the discounted value of the health losses and will be more likely to be smokers this paper examines whether this relationship between rates of time preference and smoking behavior is in fact borne out by developing empirical estimates of how smokers and nonsmokers discount years of life lost due to the fatality risks that they incur on the job a variety of researchers have theorized that individuals with higher rates of time preference

adaptive data driven inventory control with censored demand based on kaplan meier estimator using the well known product limit form of the kaplan meier estimator from statistics we propose a new class of nonparametric adaptive data driven policies for stochastic inventory control problems we focus on the distribution free newsvendor model with censored demands the assumption is that the demand distribution is not known and there are only sales data available we study the theoretical performance of the new policies and show that for discrete demand distributions they converge almost surely to the set of optimal solutions computational experiments suggest that the new policies converge for general demand distributions not necessarily discrete and demonstrate that they are significantly more robust than previously known policies as a by product of the theoretical analysis we obtain new results on the asymptotic consistency of the kaplan meier estimator for discrete random variables that extend existing work in statistics to the best of our knowledge this is the first application of the kaplan meier estimator within an adaptive optimization algorithm in particular the first application to stochastic inventory control models we believe that this work will lead to additional applications in other domains

dynamic pricing under a general parametric choice model we consider a stylized dynamic pricing model in which a monopolist prices a product to a sequence of t customers who independently make purchasing decisions based on the price offered according to a general parametric choice model the parameters of the model are unknown to the seller whose objective is to determine a pricing policy that minimizes the regret which is the expected difference between the seller s revenue and the revenue of a clairvoyant seller who knows the values of the parameters in advance and always offers the revenue maximizing price we show that the regret of the optimal pricing policy in this model is theta sqrt t by establishing an omega sqrt t lower bound on the worst case regret under an arbitrary policy and presenting a pricing policy based on maximum likelihood estimation whose regret is cal o sqrt t across all problem instances furthermore we show that when the demand curves satisfy a well separated condition the t period regret of the optimal policy is log t numerical experiments show that our policies perform well

dynamic and targeted bundle pricing of two independently valued products abstract bundling is when two or more products are offered as a single unit and at a price lower than the sum of the individual prices of the products we study a multi segment market in which a retailer aims to clear the inventory of an item by bundling it with a second product which is independently valued we investigate the question of how dynamic and segment specific bundle pricing impacts retailer s revenue we develop a revenue model that integrates the dynamic and segment specific aspects of the pricing decisions and present a computational study to analyze their revenue impact relative to a price promotion for the individual item only the computational results indicate that the bundle offers are most effective when the initial inventory of the item under consideration is high the results also demonstrate that dynamic pricing is beneficial when the initial inventory of the item is low an additional revenue improvement is observed when the price of the bundle is dynamically optimized in the computational study segment specific pricing is observed to have no direct impact on revenue when prices are static segment specific and dynamic pricing however can bring about substantial revenue improvements that are an increasing function of the initial inventory level of the item we consider the correlation in consumers valuations of the bundled products and show that dynamically priced and segment specific bundle offers yield a robust revenue performance mitigating the potentially revenue diminishing impact of positive correlation in consumers valuations of the products

anticipated inflation and the capital stock in a cash in advance economy abstract an economy is constructed in which the steady state capital stock is inversely related to the rate of inflation as a result that is directly opposite the usual conclusion

unexpected monetary disturbances during the gold standard era abstract this empirical paper uses the barro methodology of estimating unexpected monetary shocks to determine the effect these shocks had on real output in the u s during the gold standard era between 1880 and 1913 it also investigates whether changes in a measure of financial intermediation had real effects the results indicate that neither expected nor unexpected money shocks affected output changes in financial intermediation however were significantly correlated with output this result lends support to theories which stress the endogeneity of broad measures of the money supply

choice under uncertainty problems solved and unsolved ffifteen years ago the theory of choice under uncertainty could be considered one of the success stories of economic analysis it rested on solid axiomatic foundations it had seen important breakthroughs in the analytics of risk risk aversion and their applications to economic issues and it stood ready to provide the theoretical underpinnings for the newly emerging information revolution in economics 1 today choice under uncertainty is a field in flux the standard theory is being challenged on several grounds from both within and outside economics the nature of these challenges and of our profession s responses to them is the topic of this paper

survival versus consumption we develop an indirect method to estimate utility and willingness to pay wtp for reductions in the risk of death at various ages using a life cycle model of consumption we assume that an individual sets his consumption level each year so as to maximize his expected lifetime utility alternative assumptions about opportunities for borrowing and annuities characterize two polar types of societies in our robinson crusoe case an individual must be entirely self sufficient and annuities are not available in our perfect markets case an individual can borrow against future earnings and purchase actuarially fair annuities we show that under these assumptions wtp is the sum of livelihood discounted expected future earnings and consumer surplus to illustrate our methods we derive wtp for an average financially independent american man under plausible assumptions the model is calibrated to 1978 earnings e g 18 000 per year for men aged 45 54 with at least some income in the robinson crusoe case wtp increases from 500 000 at age 20 to a peak of 1 250 000 at age 40 and declines to 630 000 at age 60 in the perfect markets case age variations are less pronounced wtp is 1 050 000 at age 20 peaks at 1 070 000 at age 25 and declines to 600 000 at age 60 these results suggest that individuals value risks to their lives at several times the pro rata share of their future earnings

money creation system in the real business cycle theory abstract this paper attempts to provide the first model to include the money creation system in the real business cycle theory impulse response functions of equilibrium show that financial intermediation is a very powerful propagation mechanism

dynamic pricing with an unknown demand model asymptotically optimal semi myopic policies we consider a monopolist who sells a set of products over a time horizon of t periods the seller initially does not know the parameters of the products linear demand curve but can estimate them based on demand observations we first assume that the seller knows nothing about the parameters of the demand curve and then consider the case where the seller knows the expected demand under an incumbent price it is shown that the smallest achievable revenue loss in t periods relative to a clairvoyant who knows the underlying demand model is of order t in the former case and of order log t in the latter case to derive pricing policies that are practically implementable we take as our point of departure the widely used policy called greedy iterated least squares ils which combines sequential estimation and myopic price optimization it is known that the greedy ils policy itself suffers from incomplete learning but we show that certain variants of greedy ils achieve the minimum asymptotic loss rate to highlight the essential features of well performing pricing policies we derive sufficient conditions for asymptotic optimality

the source of fluctuations in money evidence from trade credit abstract this paper tests the relative importance of technology shocks and financial shocks as sources of fluctuations in money the model extends the theory of king and plosser 1984 by recognizing that both money and trade credit provide transactions services under certain conditions the co movements between money and trade credit can reveal the nature of the underlying shocks the empirical results strongly suggest that shocks to the financial system account for most of the fluctuations in money in the long run and at business cycle frequencies on the other hand technology shocks appear to be more important at seasonal frequencies

productivity shocks and business cycles this note uses two measures of productivity growth the solow residual and the dual residual from the cost function to test competing theories of the cycle in a number of oecd countries the empirical results indicate that both demand and supply shocks play a role in driving economic cycles and therefore refute the stronger real business cycle hypothesis

financial innovation price smoothing and monetary policy financial innovation price smoothing and monetary policy i introduction in a monetary economy the volume of nominal transactions fluctuates with the level of economic activity empirical evidence suggests that the supply of nominal transaction assets such as currency and bank deposits also fluctuates with the level of economic activity some researchers have attributed these observations to the phenomenon of money endogeneity 1 one explanation for this endogenous supply response is a systematic monetary policy as described by black 1972 under which the central bank passively adjusts the money supply to accommodate the changes in money demand alternatively king and plosser 1984 and saving 1979 stress the role of the private banking system in producing this endogenous response they argue that exogenous changes in real activity elicit sympathetic changes in the demand for transaction services that may be partially or fully accommodated by the banking system through its supply of inside money in either case this endogenous supply response tends to mitigate the price adjustment that accompanies a real supply shock 2 in the long run however the price level is ultimately determined by the central bank in the market for the nominal quantity that it controls e g currency bank reserves when deposit accounts are subject to reserve requirements or the monetary base 3 this suggests that if the private banking system does not fully accommodate the real shock and if the shock exhibits a well defined persistence then endogenous price adjustments that are fully anticipated may be further damped by a passive supply response by the central bank in addition if price expectations affect real interest rates then current period price level smoothing via a passive monetary policy may also be possible 4 in addition to employing transaction assets currency and checkable bank deposit accounts to meet their transaction requirements agents may purchase non deposit transaction services directly for firms these services include the tools available to the modern corporate cash manager such as lockbox collection systems repurchase agreements and zero balance accounts in the household sector they take the form of atms debit and credit cards and overdraft privilages on checkable accounts among others these non deposit transaction services represent an increasingly important medium of exchange their supply by the banking system is not directly controlled by the central bank and also offers another avenue by which the economy may respond endogenously to fluctuating transaction requirements associated with real shocks thereby further mitigating the price adjustment 5 the production of non deposit transaction services is subject to technology shocks in the form of financial innovations these innovations alter the economy wide demand for currency and checkable bank deposit accounts and prices adjust as with the introduction of new technology into the production of goods financial innovations are not fully adopted immediately due to the fixed costs of adjusting individual cash management practices but are instead assimilated over time this implies that their effects on transaction asset demands persist if the rate of adoption has a forecastable component the central bank can smooth expected prices by passively accommodating these innovations as with aggregate productivity shocks this persistence may also enable the central bank to damp the disturbances to the current period price level that these innovations create through the impact of price expectations on real interest rates this paper examines a non deposit transaction services market in a model economy that is developed in section ii it has the following features transactors can meet their transaction requirements by allocating wealth to currency or to bank deposit accounts that pay a market determined interest rate or by purchasing non deposit transaction services directly at a market determined price

trade interdependence and the international business cycle a stochastic general equilibrium model of the world economy is developed to analyze the contribution of trade interdependence to international business cycles we test some of the implications of the model using data from ten major industrial countries and a variety of detrending techniques to calculate the cyclical component of output we find that the significance of trade in the transmission of economic disturbances across countries is not robust to the choice of the detrending method in general the role of trade interdependence is moderate and seem to have been stronger in the period before 1973

dynamic pricing in the presence of inventory considerations research overview current practices and future directions the benefits of dynamic pricing methods have long been known in industries such as airlines hotels and electric utilities where the capacity is fixed in the short term and perishable in recent years there has been an increasing adoption of dynamic pricing policies in retail and other industries where the sellers have the ability to store inventory three factors contributed to this phenomenon 1 the increased availability of demand data 2 the ease of changing prices due to new technologies and 3 the availability of decision support tools for analyzing demand data and for dynamic pricing this paper constitutes a review of the literature and current practices in dynamic pricing given its applicability in most markets and its increasing adoption in practice our focus is on dynamic intertemporal pricing in the presence of inventory considerations

real business cycles in this paper we demonstrate how certain very ordinary economic principles lead maximizing individuals to choose consumption production plans that display many of the characteristics commonly associated with business cycles our explanation is entirely consistent with i rational expectations ii complete current information iii stable preferences iv no technological change v no long lived commodities vi no frictions or adjustment costs vii no government viii no money and ix no serial dependence in the stochastic elements of the environment we also provide a completely worked out example of the type of artificial economy we have in mind the time series properties of the example exhibit some major features of observed business cycles although this type of model may not be capable of explaining all of the regularities in actual business cycles we believe that it provides a useful well defined benchmark for assessing the relative importance of factors e g monetary disturbances

altruism deficit policies and the wealth of future generations i introduction there is now a substantial body of evidence suggesting that altruistic financial bequests are zero for the vast majority of households 1 other studies seem to indicate that the financial bequests which are made are not likely to be altruistically motivated 2 while this evidence against the importance of altruistic financial bequests seems reasonably convincing it is by no means clear that the importance of altruism per se has been dismissed 3 for example the results reported in altonji hayashi and kotlikoff 1992 tables 14 17 indicate that extended family resources while not perfectly linked to own resources are important for explaining own consumption the authors do not reject the notion that substantial altruistically motivated transfers occur in the u s rather they suggest the altruistically motivated transfers which are made take the form of less than fully efficient human capital transfers to children if most altruistic transfers do take place via educational expenditures how does this affect the ricardian equivalence theorem robert barro 1974 1989 argues the presence of any altruistic transfer is sufficient to guarantee that intergenerational transfers caused by government policy are neutral other forms of intergenerational transfers such as inter vivos gifts to children support of children s education and so on can work in a similar manner therefore the ricardian results will hold even if many persons leave little in the way of formal bequests 1989 41 4 an alternative view however is expressed by allan drazen 1978 he argues if parents possess an insufficient mix of wealth and altruism intergenerational transfers could be exhausted before the efficient level of human capital investment is achieved if explicit or implicit loans between parents and children are not possible then the government may be able to improve welfare by generating intergenerational transfers from children to parents 5 a cut in the parents tax burden and an equal present value increase in the tax on the next generation is equivalent to a government enforced loan at the going market interest rate since educational expenditures are inefficiently low the return on human capital investment exceeds the loan rate therefore parents could put an amount less than the tax cut into their children s education and still leave the children with enough additional income to pay for the future tax increase thus a deficit policy serves to expand the consumption possibility set of the family viewed in this way drazen 1978 514 footnote 7 imagines an argument for a pareto optimal level of public debt issue 6 a third possibility was identified by nerlove razin and sadka 1988 who conduct the most explicit analysis of government transfers in an economy with altruistic but financial bequest constrained households they also find a transfer or implicit loan to parents from their children will make the parents unambiguously better off however they were the first to point out that a deficit policy may lower the welfare of the children although they fail to explain why thus even in the presence of altruistic transfers from parents to children the effect of deficits on the consumption of future generations is far from clear in this paper we wish to clarify the effect of intergenerational transfers on bequest constrained families the next section intuitively explains why a government loan or deficit policy generates an ambiguous effect on the children s consumption even though altruistic parents are fully capable of making both generations better off after the loan we also identify the key structural determinants of the change in the children s wealth due to the loan in section iii we extend the simple model of section ii to a more quantitatively realistic multi period life cycle simulation model of a bequest constrained household the simulation model is then used in section iv to examine how a government intergenerational transfer affects the consumption of each generation under various settings of the key structural determinants identified in section ii

monopolist pricing with dynamic demand and production cost this paper deals with pricing of a new product over time by a monopolist who maximizes the discounted profit stream the interdependency of cost and demand on cumulative production makes the problem inherently dynamic cost is assumed to be declining with cumulative production learning curve effect while demand is a function of price and cumulative sales representing word of mouth and saturation effects the paper addresses this problem in a general framework that includes several previous results as special cases and provides new insights in other situations while the learning curve and word of mouth effect cause prices to be lower than the price that maximizes immediate revenues the saturation factor has the opposite effect the price path over time is affected by these factors and the interest rate we characterize the price path under several different situations and interpret the results for policy guidelines