it s not now or never implications of investment timing and risk aversion on climate adaptation to extreme events abstract public investment into risk reduction infrastructure plays an important role in facilitating adaptation to climate impacted hazards and natural disasters in this paper we provide an economic framework to incorporate investment timing and insurance market risk preferences when evaluating projects related to reducing climate impacted risks the model is applied to a case study of bushfire risk management we find that optimal timing of the investment may increase the net present value npv of an adaptation project for various levels of risk aversion assuming risk neutrality while the market is risk averse is found to result in an unnecessary delay of the investment into risk reduction projects the optimal waiting time is shorter when the insurance market is more risk averse or when a more serious scenario for climatic change is assumed a higher investment cost or a higher discount rate will increase the optimal waiting time we also find that a stochastic discount rate results in higher npvs of the project than a discount rate that is assumed fixed at the long run average level

debt deleveraging and the liquidity trap a fisher minsky koo approach in this paper we present a simple new keynesian style model of debt driven slumps that is situations in which an overhang of debt on the part of some agents who are forced into rapid deleveraging is depressing aggregate demand making some agents debt constrained is a surprisingly powerful assumption fisherian debt deflation the possibility of a liquidity trap the paradox of thrift a keynesiantype multiplier and a rationale for expansionary fiscal policy all emerge naturally from the model we argue that this approach sheds considerable light both on current economic difficulties and on historical episodes including japan s lost decade now in its 18th year and the great depression itself

endogenous quality differentiation in congested markets firms selling a product with congestion externalities to a heterogeneous population of customers have an incentive to offer differentiated levels of quality in a price competitive market differentiation arises endogenously through the prices chosen by firms in equilibrium firms offer a range of prices which induce an efficiency improving range of quality levels and allow customers to self select their preferred price quality combinations additional results suggest that with many firms in the market the choice of prices dominates the choice of service capacities in determining congestion levels copyright 1991 by blackwell publishing ltd

attenuating the forward guidance puzzle implications for optimal monetary policy abstract we examine the implications of less powerful forward guidance for optimal policy using a sticky price model with an effective lower bound elb on nominal interest rates as well as a discounted euler equation and a discounted phillips curve when the private sector agents discount future economic conditions more in making their decisions today a future rate cut becomes less effective in stimulating current economic activity under a wide range of plausible degrees of discounting it is optimal for the central bank to compensate for the reduced effect of a future rate cut by keeping the policy rate at the elb for longer

log linear approximation versus an exact solution at the zlb in the new keynesian model abstract how accurate is a log linear approximation of the new keynesian model when the nominal interest rate is bounded by zero this paper compares the solution of the exact non linear model to the log linear approximation it finds that the difference is modest for a common economic scenario this applies even for extreme events in numerical experiments that replicate the u s great depression the exact non linear model makes the same predictions as the log linear approximation for key policy questions such as the size and sign of government spending and tax multipliers it also replicates well known paradoxes like the paradox of toil and the paradox of price flexibility the paper also reconciles different findings reported in the literature using calvo versus rotemberg pricing

some unpleasant properties of loglinearized solutions when the nominal rate is zero does fiscal policy have large and qualitatively different effects on the economy when the nominal interest rate is zero an emerging consensus in the new keynesian nk literature is that the answer to this question is yes evidence presented here suggests that the nk model s implications for fiscal policy at the zero bound may not be all that different from its implications for policy away from it for a range of empirically relevant parameterizations employment increases when the labor tax rate is cut and the government purchase multiplier is less than 1 05

real implications of the zero bound on nominal interest rates if monetary policy succeeds in keeping average inflation very low nominal interest rates may occasionally be constrained by the zero lower bound the degree to which this constraint has real implications depends on the monetary policy feedback rule and the structure of price setting policy rules that make the price level stationary lead to small real distortions from the zero bound if policy imparts persistence into the inflation rate the real implications of the zero bound are large in the presence of backward looking price setting and small if prices are set to maximize profits

self fulfilling recessions at the zero lower bound abstract we highlight an overlooked source of equilibrium multiplicity in monetary economies subject to a zero bound on nominal interest rates in environments with sufficient endogenous propagation depressed contemporary economic conditions must directly lower expectations of future output and inflation a current recession followed by gradual convergence back to steady state may then be an equilibrium outcome without any exogenous impulse we present this mechanism heuristically in partial equilibrium and in two computed examples of new keynesian economies expansionary fiscal policy makes the recessionary equilibrium more severe at the margin but commitment to a sufficiently large expansion can rule out multiplicity

the state dependent effects of tax shocks abstract this paper studies the state dependent effects of shocks to tax rates we begin with a stylized model in which clean analytical expressions are available the model predicts that a tax rate cut is most stimulative for output in periods in which output is relatively high the model is also used to discuss some conceptual issues related to the construction of tax multipliers we then consider a medium scale dsge model with tax rates on labor and capital income and on consumption the model is solved via a third order perturbation consonant with the intuition from the analytical model tax multipliers for all three types of tax rates vary significantly across states and are most stimulative for output in states in which output is high to evaluate the normative desirability of tax cuts as a tool to combat recessions we also study the properties of the tax cut welfare multiplier which measures the change in aggregate welfare conditional on a tax rate change in contrast to output multipliers welfare multipliers are found to be countercyclical a number of extensions and modifications are considered and our conclusions are generally robust

global effective lower bound and unconventional monetary policy abstract in a standard open economy new keynesian model the effective lower bound causes anomalies output and terms of trade respond to a supply shock in the opposite direction compared to normal times we introduce a tractable framework to accommodate for unconventional monetary policy in our model these anomalies disappear we allow unconventional policy to be partially active and asymmetric between countries empirically we find the us euro area and uk have implemented a considerable amount of unconventional monetary policy the us follows the historical taylor rule whereas the others have done less compared to normal times

estimating dsge models with zero interest rate policy we propose estimating dsge models in which the central bank fixes the policy rate for an extended period of time and apply our approach to estimate expected durations of the federal reserve s zero interest rate policy since 2009 we find a large increase in expected duration in 2011 with the move to calendar based guidance and a decrease in 2013 with the taper tantrum these changes are identified by the influence of expected duration on output inflation and interest rates at longer maturities the structural model measures the severity of the zero lower bound constraint and the effects of unconventional policy

menu costs and the neutrality of money a model of endogenous price adjustment under money growth is presented firms follow s s pricing policies and price revisions are imperfectly synchronized in the aggregate price stickiness disappears and money is neutral the connection between firm price adjustment and relative price variability in the presence of monetary growth is also investigated the results contrast with those obtained in models with exogenous fixed timing of price adjustment

setting customer expectation in service delivery an integrated marketing operations perspective service firms have increasingly been competing for market share on the basis of delivery time many firms now choose to set customer expectation by announcing their maximal delivery time customers will be satisfied if their perceived delivery times are shorter than their expectations this gap model of service quality is used in this paper to study how a firm might choose a delivery time commitment to influence its customer expectation and delivery quality in order to maximize its market share a market share model is developed to capture 1 the impact of delivery time commitment and delivery quality on the firm s market share and 2 the impact of the firm s market share and process variability on delivery quality when there is a congestion effect we show that the choice of the delivery time commitment requires a proper balance between the level of service capacity and customer sensitivities to delivery time expectation and delivery quality we prove the existence of nash equilibria in a duopolistic competition and show that this delivery time commitment game is analogous to a prisoners dilemma

new keynesian dynamics in a low interest rate environment recent research has found that the dynamic properties of the new keynesian model are unorthodox when the nominal interest rate is zero improvements in technology and reductions in the labor tax rate lower economic activity and the size of the government purchase output multiplier is very large this paper provides evidence that these results are not empirically relevant we show that a prototypical new keynesian model fit to japanese data exhibits orthodox dynamics during japan s episode with zero interest rates we then demonstrate that this specification is more consistent with outcomes in japan than alternative specifications that have unorthodox properties

the propagation of uncertainty shocks rotemberg versus calvo this article studies the effects of uncertainty shocks on economic activity focusing on inflation using a vector autoregression i show that increased uncertainty has negative demand effects reducing gdp and prices i then consider standard new keynesian models with rotemberg type and calvo type price rigidities despite the belief that the two schemes are equivalent i show that they generate different dynamics in response to uncertainty shocks in the rotemberg model uncertainty shocks decrease output and inflation in line with the empirical results by contrast in the calvo model uncertainty shocks decrease output but raise inflation because of firms precautionary pricing motive

on dsge models the outcome of any important macroeconomic policy change is the net effect of forces operating on different parts of the economy a central challenge facing policymakers is how to assess the relative strength of those forces economists have a range of tools that can be used to make such assessments dynamic stochastic general equilibrium dsge models are the leading tool for making such assessments in an open and transparent manner we review the state of mainstream dsge models before the financial crisis and the great recession we then describe how dsge models are estimated and evaluated we address the question of why dsge modelers like most other economists and policymakers failed to predict the financial crisis and the great recession and how dsge modelers responded to the financial crisis and its aftermath we discuss how current dsge models are actually used by policymakers we then provide a brief response to some criticisms of dsge models with special emphasis on criticism by joseph stiglitz and offer some concluding remarks

discrete choice and variable returns to scale in previous studies of the probabilistic theory of qualitative choice e g marschak 1960 and mcfadden 1974 it has been assumed that an individual chooses among various alternatives with their utility levels independent of the number of individuals who choose each alternative there are however many examples in which the utility of a choice depends on the number of individuals who make the same choice for instance the utility of a given spatial choice may depend upon the number of others who choose neighboring locations neighborhood utility may decrease crowding or it may increase agglomerative economies with population size a second example is the automobile traveler s choice of routes the benefit of one route choice over another due to congestion depends on the number of drivers who choose the same route both of the examples suggested above deal with spatial choices of a particular kind but there are even examples from the more traditional macroeconomic theory one such example is of a product produced under variable returns to scale by a number of different sellers the price that each seller charges will depend upon the number of his customers if a buyer must choose to purchase from only one seller the price paid and thus utility will depend upon the total number of buyers choosing the same seller in all of the examples cited a reasonable model of choice is one that postulates uncertainty about the actual utility of each alternative the point of view is that a chooser s notional utility about each choice is a random variable in this case it is not certain which alternative will be chosen but the chosen alternative is the one with the greatest perceived utility it follows therefore that the probability that a given alternative is chosen is the probability that the utility perceived to be associated with it is larger than the utility perceived to be associated with any other alternative

liquidity traps learning and stagnation we examine global economic dynamics under learning in a new keynesian model in which the interest rate rule is subject to the zero lower bound under normal monetary and fiscal policy the intended steady state is locally but not globally stable large pessimistic shocks to expectations can lead to deflationary spirals with falling prices and falling output to avoid this outcome we recommend augmenting normal policies with aggressive monetary and fiscal policy that guarantee a lower bound on inflation in contrast policies geared toward ensuring an output lower bound are insufficient for avoiding deflationary spirals

prices output and hours an empirical analysis based on a sticky price model abstract i show that a simple sticky price model based on rotemberg 1982 is consistent with a variety of facts concerning the correlation of prices hours and output it is consistent with the negative correlation between forecastable movements in prices and output as well as the smaller negative correlation between forecastable movements in prices and hours it is also consistent with the positive correlations of unexpected movements in prices output and hours these patterns are harder to reconcile with the flexible price version of the model in particular they require that money respond differently to forecastable and to unforecastable real shocks

valuation of commodity futures and options under stochastic convenience yields interest rates and jump diffusions in the spot this paper investigates the effects of stochastic convenience yields stochastic interest rates and jumps in the spot price on the pricing of commodity futures forwards and futures options numerical examples show that one factor prices differ materially from the stochastic convenience yield two factor prices when convenience yield is considerably above its long term average the extension to a three factor model with stochastic interest rates leads to a different futures price but the forward price is unchanged the extension ofthe three factor model to include jumps in the spot price process does not affect forward or futures prices but it can have an impact on options prices the model is applied to price the present value of future cash flows from a real asset

equilibrium analysis of disaggregate facility choice systems subject to congestion elastic demand this paper considers the impact of congestion on the spatial distribution of customer utilization of service facilities in a stochastic dynamic environment previous research has assumed that the rate of demand for service is independent of the attributes of the facilities we consider the more general case in which facility utilization is determined both by individual facility choice based on the stochastic disaggregate choice mechanism and by the rate of demand for service we develop generalized results for proving that equilibria exist and describe sufficient conditions for the uniqueness and global stability of these equilibria these conditions depend upon the elasticity of demand with respect to the level of congestion at the facilities and on whether customers are congestion averse or are congestion loving finally we examine special cases when these conditions are satisfied

fiscal policy in an expectations driven liquidity trap we study the effects of fiscal policy interventions in a liquidity trap in a model with nominal rigidities and an interest rate rule in a liquidity trap caused by a self fulfilling state of low confidence higher government spending has deflationary effects that reduce the spending multiplier when the zero lower bound is binding instead cuts in marginal labor tax rates are inflationary and become more expansionary when the zero lower bound is binding these findings contradict popular views about the effects of fiscal policy in a liquidity trap

the fine structure of asset returns an empirical investigation we investigate the importance of diffusion and jumps in a new model for asset returns in contrast to standard models we allow for jump components displaying finite or infinite activity and variation empirical investigations of time series indicate that index dynamics are devoid of a diffusion component which may be present in the dynamics of individual stocks this leads to the conjecture confirmed on options data that the risk neutral process should be free of a diffusion component we conclude that the statistical and risk neutral processes for equity prices are pure jump processes of infinite activity and finite variation

optimal monetary policy with relative price distortions this paper analyzes optimal monetary policy in a sticky price model with calvo type staggered price setting in the paper the optimal monetary policy maximizes the expected utility of a representative household without having to rely on a set of linearly approximated equilibrium conditions given the distortions associated with the staggered price setting it shows that the complete stabilization of the price level is optimal in the absence of initial price dispersion while optimal inflation targets respond to changes in the level of relative price distortion in the presence of initial price dispersion

state dependent fiscal multipliers calvo vs rotemberg abstract this paper studies the properties of the fiscal multiplier in both the calvo 1983 and rotemberg 1982 variants of the new keynesian model though identical to first order the two variants of the model are not the same globally or to higher order we solve both versions of the model using a third order approximation and compute the distributions of fiscal multipliers by drawing from the ergodic distributions of states the multiplier is significantly more variable across states in the rotemberg model these differences are magnified when the nominal interest rate is pegged instead of governed by an active taylor rule

deficits public debt dynamics and tax and spending multipliers cutting government spending can increase the budget defi cit at zero interest rates according to a standard new keynesian model calibrated with bayesian methods similarly increasing sales taxes can increase the budget defi cit rather than reduce it both results suggest limitations of austerity measures at zero interest rates running budget defi cits can be either expansionary or contractionary depending on how they interact with expectations about long run taxes and spending the effect of fi scal policy action is thus highly dependent on the policy regime a successful stimulus therefore needs to specify how the budget is managed not only in the short but also in the medium and long runs

the pricing of temperature futures at the chicago mercantile exchange abstract this paper analyzes observed prices of us temperature futures at the chicago mercantile exchange cme results show that an index modeling approach without detrending captures the prices exceptionally well moreover weather forecasts significantly influence prices up to 11 days ahead it is shown that valuations of temperature futures relying on a model without detrending yield biased valuations by overpricing winter contracts and underpricing summer contracts several trading strategies are devised to exploit the mispricing observed at the cme and to demonstrate that speculating on temperature futures can not only generate high overall returns but also perform well on a risk adjusted basis

pricing production scheduling and delivery time competition this paper studies competition between firms that produce goods or services for customers sensitive to delay time firms compete by setting prices and production rates for each type of customer and by choosing scheduling policies the existence of a competitive equilibrium is proved the competitive equilibrium is well defined whether or not a firm can differentiate between customers based upon physical characteristics because each customer has incentive to truthfully reveal its delay cost further insights are derived in two special cases a unique equilibrium exists for each of the cases in the first case firms are differentiated by cost mean processing time and processing time variability but customers are homogeneous the conclusions include that a faster lower variability and lower cost firm always has a larger market share higher capacity utilization and higher profits however this firm may have higher prices and faster delivery time or lower prices and longer delivery time in the second

monopolistic competition and the effects of aggregate demand how important is monopolistic competition to an understanding of the effects of aggregate demand on output we ask the question at three levels can monopolistic competition by itself explain why aggregate demand movements affect output can it together with other imperfections generate effects of aggregate demand in a way that perfect competition cannot if so can it give an accurate account of the response of the economy to aggregate demand movements the answers are no yes and yes

the magnitude of menu costs direct evidence from large u s supermarket chains we use store level data to document the exact process of changing prices and to directly measure menu costs at five multistore supermarket chains we show that changing prices in these establishments is a complex process requiring dozens of steps and a nontrivial amount of resources the menu costs average 105 887 year per store comprising 0 70 percent of revenues 35 2 percent of net margins and 0 52 price change these menu costs may be forming a barrier to price changes specifically 1 a supermarket chain facing higher menu costs due to item pricing laws that require a separate price tag on each item changes prices two and one half times less frequently than the other four chains 2 within this chain the prices of products exempt from the law are changed over three times more frequently than the products subject to the law in principle fixed costs of changing prices can be observed and measured in practice such costs take disparate forms in different firms and we have no data on their magnitude so the theory can be tested at best indirectly at worst not at all alan blinder 1991 p 90

pricing of options on commodity futures with stochastic term structures of convenience yields and interest rates we develop a model to value options on commodity futures in the presence of stochastic interest rates as well as stochastic convenience yields in the development of the model we distinguish between forward and future convenience yields a distinction that has not been recognized in the literature assuming normality of continuously compounded forward interest rates and convenience yields and log normality of the spot price of the underlying commodity we obtain closed form solutions generalizing the black scholes merton s formulas we provide numerical examples with realistic parameter values showing that both the effect of introducing stochastic convenience yields into the model and the effect of having a short time lag between the maturity of a european call option and the underlying futures contract have significant impact on the option prices

nonlinear adventures at the zero lower bound abstract in this paper we argue for the importance of explicitly considering nonlinearities in analyzing the behavior of the new keynesian model with a zero lower bound zlb of the nominal interest rate to show this we report how the decision rules and the equilibrium dynamics of the model are substantially affected by the nonlinear features brought about by the zlb we also illustrate a tension between the length of a spell at the zlb and the drop in consumption there

endogenous money or sticky prices abstract what explains the correlations between nominal and real variables in the postwar us data are these correlations indicative of significant nominal rigidity or do they simply reflect the particular way that monetary policymakers react to developments in the real economy to answer these questions this paper uses maximum likelihood to estimate a model of endogenous money this model allows but does not require nominal prices to be sticky the results show that nominal price rigidity over and above endogenous money plays a role in accounting for key features of the data

aggregation and optimization with state dependent pricing the literature on the aggregation of s s policies has ignored the impact of aggregate behavior on the individual s optimization problem in the case of pricing the feedback effects are clear not only do pricing strategies determine the evolution of the price level but the evolution of the price level also influences the optimal pricing strategies in this paper we provide a consistent treatment of aggregation and optimization we use this model to analyze three issues in the menu cost pricing literature the relationship between strategic complementarity and the real effects of money the relationship between the variance of the money supply and the correlation between money and output and the relationship between the cost of price adjustment and the size of price adjustment questions concerning the dynamics of aggregate variables such as prices employment investment and consumption represent the core of business cycle analysis one striking feature of these variables is the radical difference between properties of these aggregates and the nature of the individual behavior that underlies them the behavior of a firm s prices investment and employment and the behavior of an individual s consumption all involve frictional elements that lead to discrete adjustment at the microeconomic level heterogeneity among individuals however tends to smooth the behavior of the corresponding aggregates in recent years a large body of research has developed to examine the manner in which microeconomic frictions influence aggregate dynamics one of the centerpieces of this research has been the s s model developed by arrow harris and marschak 1951 the key element of this model is the state dependence of individual decisions agents act when a state variable crosses some critical threshold which balances the cost and benefits of adjustment the aggregate implications of this form of microeconomic behavior have been analyzed by blinder 1981 caplin 1985 and mosser 1991 in the context of inventory dynamics by caplin and spulber 1987 caballero and engel 1991 1993 and caplin and leahy 1991 in the context of prices and by bertola and caballero 1990 caballero 1993 and eberly 1994 in the context of con sumer durables one of the most limiting aspects of these models is that they focus exclusively on the impact that microeconomic inertia has on aggregate dynamics they 1we would like to thank michael harrison loannis karatzas john leahy sr andreu mas colell a co editor and four anonymous referees for helpful discussions and comments and the national science foundation and the sloan foundation for financial support

optimal monetary policy at the zero interest rate bound what should a central bank do when faced with a weak aggregate demand even after reducing the short term nominal interest rate to zero to address this question we solve a central bank s intertemporal loss minimization problem in which the non negativity constraint on nominal interest rates is explicitly considered we find that the optimal path is characterized by policy inertia in the sense that a zero interest rate policy should be continued for a while even after the natural rate of interest returns to a positive level by making such a commitment the central bank is able to achieve higher expected inflation lower long term nominal interest rates and a weaker domestic currency in the adverse periods when the natural rate of interest significantly deviates from a steady state level

what is new keynesian economics this research was supported by the national science foundation i am grateful to george williams for help with the data and to steven allen laurence ball olivier j blanchard timothy bresnahan charles calomiris dennis carlton robert chirinko russell cooper stanley fischer herschel grossman r glenn hubbard david laidler john leahy assar lindbeck n gregory mankiw david romer julio rotemberg dennis snower john taylor andrew weiss and two anonymous referees for comments on one or more earlier drafts i am also indebted to michael parkin and edmund s phelps for helping to establish the etymology of the phrase new keynesian

is increased price flexibility stabilizing this paper uses john taylor s model of overlapping contracts to show that increased wage and price flexibility can easily be destabilizing because of the mundell effect while lower prices increase output the expectation of falling prices decreases output simulations based on realistic parameter values suggest that increases in price flexibility might well increase the cyclical variability of output in the united states copyright 1986 by american economic association

pricing rainfall futures at the cme abstract many business people such as farmers and financial investors are affected by indirect losses caused by scarce or abundant rainfall because of the high potential of insuring rainfall risk the chicago mercantile exchange cme began trading rainfall derivatives in 2011 compared to temperature derivatives however pricing rainfall derivatives is more difficult in this article we propose to model rainfall indices via a flexible type of distribution namely the normal inverse gaussian distribution which captures asymmetries and heavy tail behaviour the prices of rainfall futures are computed by employing the esscher transform a well known tool in actuarial science this approach is flexible enough to price any rainfall contract and to adjust theoretical prices to market prices by using the calibrated market price of risk the empirical analysis is conducted with us precipitation data and cme futures data providing first results on the market price of risk for rainfall derivatives

when the u s catches a cold canada sneezes a lower bound tale told by deep learning abstract the canadian economy was not initially hit by the 2007 2009 great recession but ended up having a prolonged episode of the effective lower bound elb on nominal interest rates to investigate the canadian the elb experience we build a baby totem model a scaled down version of the terms of trade economic model totem of the bank of canada our model includes 49 nonlinear equations and 21 state variables to solve such a high dimensional model we develop a projection deep learning algorithm a combination of unsupervised and supervised deep machine learning techniques our findings are as follows the canadian elb episode was contaminated from abroad via large foreign demand shocks prolonged elb episodes are easy to generate with foreign shocks unlike with domestic shocks nonlinearities associated with the elb constraint have virtually no impact on the canadian economy but other nonlinearities do in particular the degree of uncertainty and specific closing condition used to induce the model s stationarity