money and prices under uncertainty we study whether monetary economies display nominal indeterminacy equivalently whether monetary policy determines the path of prices under uncertainty in a simple stochastic cash in advance economy we find that indeterminacy arises and is characterized by the initial price level and a probability measure associated with state contingent nominal bonds equivalently monetary policy determines an average but not the distribution of inflation across realizations of uncertainty the result does not derive from the stability of the deterministic steady state and is not affected essentially by price stickiness nominal indeterminacy may affect real allocations in cases we identify our characterization applies to stochastic monetary models in general and it permits a unified treatment of the determinants of paths of inflation copyright 2005 wiley blackwell

the structure of financial equilibrium with exogenous yields the case of incomplete markets1 this paper presents an analysis of the structure of competitive equilibrium in a model whose principal feature is incomplete financial markets formulated in the spirit of arrow specifically the overall payoffs or returns from financial instruments are assumed to be fixed or predetermined independently of the operation of the economy and these instruments are assumed to be fewer in number than required to span all potential spot markets for commodities our main result establishes that market incompleteness generates a corresponding degree of allocation indeterminateness suppose there are n 1 spot markets but only 0 m n linearly independent financial instruments so that the deficiency in financial markets is 0 n n m n then subject to some relatively innocuous technical qualifications the set of equilibrium allocations contains a smooth n dimensional submanifold we also indicate how real indeterminacy may increase when returns for example the market price and promised interest on an ordinary bond are treated as variables rather than parameters

the impact of usury ceilings on consumer credit usury regulation is a topic with a long history of discussion nevertheless the debate over the merits of usury regulation continues to the present day in the early part of the 1980s the rapid rise in nominal interest rates swung the debate in favor of the opponents of usury ceilings during this period a quarter of the states enacted legislation which largely eliminated their usury ceilings on consumer credit however with the return of lower interest rates in the middle part of the decade the argument for low usury ceilings gained increasing support and as a result several states lowered their usury ceilings on some types of credit the first formal economic model of the impact of usury ceilings was outlined by blitz and long 8 their insightful analysis has led researchers to focus on two hypotheses concerning the impact of usury ceilings on consumer credit hypothesis 1 usury ceilings reduce the quantity of credit obtained by high risk borrowers

multiple solution indeterminacies in monetary policy analysis abstract a sizeable fraction of recent research on monetary policy has been concerned with issues relating to analytical indeterminacies i e multiple solutions in rational expectations re models most of the literature features sophisticated re analysis conducted within dynamic models that reflect optimizing behavior by individual agents and incorporate taylor style policy rules a few papers have suggested that some of the particular indeterminacy arguments are misleading or irrelevant for the most part however there has been little dissent from the position that these indeterminacies present a genuine problem for monetary policy makers the purpose of the present paper by contrast is to argue that conclusions based on multiple solution indeterminacy findings are of dubious merit rather generally

ppp exchange rate rules macroeconomic in stability and learning in order to maintain competitiveness governments in developing economies seem to have pursued purchasing power parity ppp exchange rate rules by adjusting the nominal devaluation rate in response to real exchange rate deviations from an intermediate target this article shows that these rules are likely to induce macroeconomic instability as they generate sunspot driven fluctuations that are in fact learnable by agents in the expectational stability sense it finds that the existence of these learnable sunspots depends among others on open economy features including the degree of openness and the degree of exchange rate pass through to consumer s import prices

interest rates and currency prices in a two country world abstract this paper is a theoretical study of the determination of prices interest rates and currency exchange rates set in an infinitely lived two country world which is subject both to stochastic endowment shocks and to monetary instability formulas are obtained for pricing all equity claims nominally denominated bonds and currencies and these formulas are related to earlier closely related results in the theories of money finance international trade

risk based pricing of interest rates for consumer loans abstract by focusing on observable default risk s role in loan terms and the subsequent consequences for household behavior this paper shows that lenders increasingly used risk based pricing of interest rates in consumer loan markets during the mid 1990s it tests three resulting predictions first the premium paid per unit of risk should have increased over this period second debt levels should have reacted accordingly third fewer high risk households should have been denied credit further contributing to the interest rate spread between the highest and lowest risk borrowers for people obtaining loans the premium paid per unit of risk did indeed become significantly larger after the mid 1990s for example for a 0 01 increase in the probability of bankruptcy the corresponding interest rate increase tripled for first mortgages doubled for automobile loans and rose nearly six fold for second mortgages additionally changes in borrowing levels and debt access reflected these new pricing practices particularly for secured debt borrowing increased most for the low risk households who saw their relative borrowing costs fall furthermore while very high risk households gained expanded access to credit the increases in their risk premiums implied that their borrowing as a whole either rose less or sometimes fell

timing and real indeterminacy in monetary models an increasingly common approach to the theoretical analysis of monetary policy is to ensure that a proposed policy does not introduce real indeterminacy and thus sunspot fluctuations into the model economy policy is typically conducted in terms of directives for the nominal interest rate this paper uses a discrete time money in the utility function model to demonstrate how seemingly minor modifications in the trading environment result in dramatic differences in the policy restrictions needed to ensure real determinacy these differences arise because of the differing pricing equations for the nominal interest rate

the effects of usury laws evidence from the online loan market abstract usury laws cap the interest rates that lenders can charge using data from prosper com an online lending marketplace i investigate the effects of these laws the key to my empirical strategy is that there was initially substantial variability in states interest rate caps ranging from 6 to 36 a behind the scenes change in loan origination however suddenly increased the cap to 36 the main findings of the study are that higher interest rate caps increase the probability that a loan will be funded especially if the borrower was previously just outside the money i do not find however changes in loan amounts and default probability the interest rate paid rises slightly probably because online lending is substantially yet imperfectly integrated with the general credit market

tax base and crowding in effects of balanced budget fiscal policy a dynamic general equilibrium business cycle model is constructed with staggered price adjustment monopolistic wage setting and distortionary taxation the government purchases goods runs an unemployment benefit system and balances its budget through a proportional tax on labour income a temporary tax financed increase in government expenditures can lower the tax rate through a demand induced widening of the tax base it is shown analytically that this allows private consumption to rise under realistic conditions despite the negative wealth effect of increased fiscal spending

supply side effects of monetary policy and equilibrium multiplicity abstract empirical evidence indicates that changes in the nominal interest rate significantly affect lending costs of firms introducing working capital into an otherwise conventional new keynesian model active interest rate policy remains necessary but should be moderate to ensure real determinacy the likelihood for the latter can approach zero when utility is linear in leisure

a hicksian multiplier accelerator model with floor determined by capital stock this article reconsiders the hicksian multiplier accelerator model with the floor related to the depreciation on actual capital stock through the introduction of the capital variable a growth trend is created endogenously by the model itself along with growth rate oscillations around it the ceiling can be dispensed with altogether as everything is growing in such a model a variable transformation is introduced to focus relative dynamics of the income growth rate and the actual capital output ratio

the real costs of credit access evidence from the payday lending market using geographic differences in the availability of payday loans i estimate the real effects of credit access among low income households payday loans are small high interest rate loans that constitute the marginal source of credit for many high risk borrowers i find no evidence that payday loans alleviate economic hardship to the contrary loan access leads to increased difficulty paying mortgage rent and utilities bills the empirical design isolates variation in loan access that is uninfluenced by lenders location decisions and state regulatory decisions two factors that might otherwise correlate with economic hardship measures further analysis of differences in loan availability over time and across income groups rules out a number of alternative explanations for the estimated effects counter to the view that improving credit access facilitates important expenditures the results suggest that for some low income households the debt service burden imposed by borrowing inhibits their ability to pay important bills copyright 2011 oxford university press

dynamic analysis of discontinuous best response with innovation abstract starting from the static analysis in eckert et al 2017 we study a cournot duopoly where firms can decide to incur fixed costs in activities that improve their competitiveness i e product development or process innovation innovation costs generate discontinuities in the firms quantity best response functions and in turn a variety of equilibrium configurations including multiple equilibria we provide a dynamic global analysis of the equilibria and show the way in which firms initial expectations regarding the rivals level of output are crucial in defining the configuration of the long run equilibrium

dynamic complexity in duopoly games abstract we discuss the occurrence of periodic and chaotic phenomena in infinite horizon duopoly games where firms maximize their discounted sum of profits and use markov perfect equilibrium strategies in the alternating case their corresponding actions are then constrained orbits of a map similar to a cournot t tonnement we show that any behavior is possible for small discount factors and that one obtains the cournot t tonnement as the discount factor goes to zero in the simultaneous case we show by mean of an example that many cournot t tonnements can be viewed as markov perfect equilibria of an infinite horizon game and that one obtains the nash equilibrium of the static game as the discount parameter goes to zero we are thus led to study in detail the dynamical properties of a cournot t tonnement

can fiscal spending stimulate private consumption abstract empirically government expenditure shocks seem to crowd in private consumption while neoclassical and new keynesian models predict crowding out we derive conditions under which a government in utility specification in a sticky price model helps to reconcile theory and evidence

short and long interest rate targets can both short and long term interest rates be targeted independently can the target of the term structure help solve the problem of multiplicity of equilibria that occurs when only the short rate is targeted both questions are addressed and the answer is yes to both

cycles and chaos in a socialist economy abstract this paper deals with the dynamics of a continuous piecewise linear model of a socialist economy the model has hicksian type nonlinearities it is a linear model with ceilings and floors although the model is quite simple it produces a variety of different new phenomena in addition to stable cycles appearing in simonovits 1991b we demonstrate chaotic and quasi periodic behavior we investigate how the dynamics of the model depends on the control parameters and encounter border crossing bifurcations a rather new type of local bifurcation

gaps and triangles we derive principles of optimal short run monetary policy in a real business cycles model with money and prices set in advance the optimal allocation is achieved under the friedman rule however given that policy the allocation is indeterminate we move away from the friedman rule take the interest rate path as exogenous and characterize the optimal money supply policy we identify the conditions under which it is optimal to replicate the allocation under exible prices in general sticky prices provide the planner with tools to improve upon a distorted exible prices allocation

oligopoly equilibria when firms have local knowledge of demand this paper investigates the existence of oligopoly equilibria when firms arrive through local price experiments at a correct estimation of their demand curves in a neighborhood of a given statu s quo the author provides sufficient conditions for the existence of a local nash equilibrium defined as a point where each firm is at a local maximum of its profit function given the prices charged by th e other firms he also provides two examples one of a duopoly with l ocal nash equilibria but no nash equilibria and the other of a duopol y with no local nash equilibria copyright 1988 by economics department of the university of pennsylvania and the osaka university institute of social and economic research association

capital tax competition under a common currency abstract we re examine the view that capital taxes are too low when capital is mobile across tax jurisdictions we do so by emphasising a previously neglected implication of decentralised capital tax setting when jurisdictions share a common currency namely capital taxes give rise to a vertical externality by affecting the revenues of the over arching central bank from issuing the common currency this externality may lead ceteris paribus to too high regional capital taxes and may more than offset the usual effects of tax competition in this case and contrary to conventional wisdom decentralised capital taxes will be too high

measuring the covariance risk of consumer debt portfolios abstract the covariance risk of consumer loans is difficult to measure due to high heterogeneity using the chilean household finance survey i simulate the default conditions of heterogeneous households over distinct macro scenarios i show that consumer loans have a high covariance beta relative to the stock market and bank assets banks loan portfolios have very different covariance betas with some banks being prone to high risk during recessions high income and older households have lower betas and help diversify banks portfolios households covariance risk increases the probability of being rejected for credit and has a negative impact on loan amounts

inflation forecasts and monetary policy proposals for inflation targeting as a strategy for monetary policy leave open the important operational question of how to determine whether current policies are consistent with the long run inflation target an interesting possibility is that the central bank might target current private sector forecasts of inflation either those made explicitly by professional forecasters or those implicit in asset prices we address the issue of existence and uniqueness of rational expectations equilibria when the central bank uses private sector forecasts as a guide to policy actions in a dynamic model which incorporates both sluggish price adjustment and shocks to aggregate demand and aggregate supply we show that strict targeting of inflation forecasts is typically inconsistent with the existence of rational expectations equilibrium and that policies approximating strict inflation forecast targeting are likely to have undesirable properties we also show that economies with more general forecast based policy rules are particularly susceptible to indeterminacy of rational expectations equilibria we conclude that although private sector forecasts may contain information useful to the central bank ultimately the monetary authorities must rely on an explicit structural model of the economy to guide their policy decisions this abstract was borrowed from another version of this item this abstract was borrowed from another version of this item

consumer credit evidence from italian micro data in this paper we analyse unique data on credit applications received by the leading provider of consumer credit in italy findomestic the data set covers a five year period 1995 1999 during which the consumer credit market rapidly expanded in italy and a new law the usury law came into force that set a limit on interest rates charged to consumers we compute behavioural changes by controlling for changes in the observable characteristics of the findomestic clientele and argue that under suitable identifying assumptions these changes can be given a structural interpretation if the usury shock is assumed to have affected credit supply but not credit demand that is if the usury law had a differential impact on the supply of various types of credit but a uniform impact on demand then we can identify and estimate a demand equation our key finding is that demand is interest rate elastic particularly in the more affluent north 2005 by the european economic association

cournot duopoly when the competitors operate multiple production plants this article considers a cournot duopoly under an isoelastic demand function and cost functions with built in capacity limits the special feature is that each firm is assumed to operate multiple plants which can be run alone or in combination each firm has two plants with different capacity limits so each has three cost options the third being to run both plants dividing the load according to the principle of equal marginal costs as a consequence the marginal cost functions come in three disjoint pieces so the reaction functions derived on basis of global profit maximization may also consist of disjoint pieces this is reflected in a particular bifurcation structure due to border collision bifurcations and to particular basin boundaries related to the discontinuities it is shown that stable cycles may coexist and the non existence of unstable cycles constitutes a new property we also compare the coexistent short periodic solutions in terms of the resulting real profits

the impact of interest rate ceilings on households credit access evidence from a 2013 chilean legislation abstract this study analyzes the impact of a legislation introduced in chile in 2013 which gradually reduced the maximum legal interest rate for consumer loans from 54 to 36 using a representative sample of households that matches survey data and banking loan records i compare consumers with risk adjusted interest rates slightly above and slightly below the legal interest rate ceiling two groups of similar characteristics but who are differently affected by the law after accounting for both macroeconomic shocks and unobserved household heterogeneity the results show that being above the interest rate cap reduces the probability of credit access by 8 7 on average a counterfactual exercise shows that the new legislation excluded 9 7 of the borrowers from banking consumer loans the law s impact was strongest on the youngest least educated and poorest families finally i show that the new law affected all lenders of consumer loans in chile not just banks

does the reserve bank of australia follow a forward looking nonlinear monetary policy rule abstractthe conventional monetary policy rule describes a simple linear relationship between the domestic interest rate inflation rate and output gap an important extension to this rule is to inc

can t pay or won t pay unemployment negative equity and strategic default this paper uses new data from the psid to quantify the relative importance of negative equity versus ability to pay in driving mortgage defaults between 2009 and 2013 these data allow us to construct household budgets sets that provide better measures of ability to pay changes in ability to pay have large estimated effects job loss has an equivalent effect on the propensity to default as a 35 decline in equity strategic motives are also found to be quantitatively important as we estimate more than 38 of households in default could make their mortgage payments without reducing consumption received september 29 2015 editorial decision june 2 2017 by editor philip strahan authors have furnished an internet appendix which is available on the oxford university pressweb site next to the link to the final published paper online

do real balance effects invalidate the taylor principle in closed and open economies this paper examines the determinacy implications of forecast based monetary policy rules that set the interest rate in response to expected future inflation in a neo wicksellian model that incorporates real balance effects we show that the presence of such effects in closed economies restricts the ability of the taylor principle to prevent indeterminacy of the rational expectations equilibrium the problem is exacerbated in open economies particularly if the policy rule reacts to consumer price rather than domestic price inflation however determinacy can be restored in both closed and open economies with the addition of monetary policy inertia

heterogeneous inflation expectations and learning using the panel component of the michigan survey of consumers we estimate a learning model of inflation expectations allowing for heterogeneous use of private information and lifetime inflation experience life experience inflation has a significant impact on individual expectations but only for 1 year ahead inflation public information is substantially more relevant for longer horizon expectations even controlling for life experience inflation and public information idiosyncratic information explains a nontrivial proportion of the inflation forecasts of agents women ethnic minorities and less educated agents have a higher degree of heterogeneity in their idiosyncratic information and give less importance to recent movements in inflation

best response dynamics with level n expectations in two stage games this paper analyzes behavior in repeatedly played two stage games where players choose actions in both stages according to best replies using level n expectations about the opponent s actions in both stages level n expectations are recursively defined in a way that a player holding level n expectations correctly predicts the action of an opponent holding level n 1 expectations a general conceptual framework to study such dynamics for two stage games is developed and it is shown that contrary to results for single stage games the fixed points of the dynamics depend on the level of the expectations in particular for level 0 expectation fixed points correspond to a nash equilibrium of a simultaneous move version of the game whereas under certain conditions fixed points converge towards the subgame perfect equilibrium of the two stage game if the level of expectations goes to infinity the approach is illustrated using a two stage duopoly game where firms in the first stage invest in activities reducing their marginal costs and in the second stage engage in cournot competition conditions for local stability of the fixed points are derived for different levels of expectations and it is shown that level 2 expectations are sufficient to move the fixed point of the dynamics to a close neighborhood of the subgame perfect equilibrium furthermore it is demonstrated that although firms benefit from unilateral increases in the level of expectations an increase of n by all firms reduces all profits

money and interest in a cash in advance economy the authors analyze an aggregative general equilibrium model in which the use of money is motivated by a cash in advance constraint applied to purchases of a subset of consumption goods the system is subject to both real and monetary shocks which are economy wide and observed by all they develop methods for verifying the existence of characterizing and explicitly calculating equilibria copyright 1987 by the econometric society

real indeterminacy with financial assets abstract it is shown that in a two period general equilibrium securities model where assets pay in money the generic dimension of the set of equilibrium allocations in the incomplete market situation is s 1 where s is the number of assets hence the degree or real indeterminacy is independent of the number of assets this result requires beyond fewer assets than states that the number of traders be larger than the number of securities and that the asset return matrix be in general position the generic dimension for arbitrary returns matrix is also obtained it is argued in addition that the presence of real or mixed assets does not by itself lower the degree of indeterminacy

on the complicated price dynamics of a simple one dimensional discontinuous financial market model with heterogeneous interacting traders abstract we develop a financial market model with heterogeneous interacting agents market makers adjust prices with respect to excess demand chartists believe in the persistence of bull and bear markets and fundamentalists bet on mean reversion moreover speculators trade asymmetrically in over and undervalued markets and while some of them determine the size of their orders via linear trading rules others always trade the same amount of assets the dynamics of our model is driven by a one dimensional discontinuous map despite the simplicity of our model analytical graphical and numerical analysis reveals a surprisingly rich set of interesting dynamical behaviors

the stability of the cournot oligopoly model a reassessment abstract the stability properties of the cournot oligopoly model are examined for the continuous adjustment process sufficient conditions for instability are established which are shown to be of significance when the number of firms n is small local and global stability are shown under appropriate conditions which for global stability include the restriction n 5 the proof of global stability corrects a well known proof by f hahn rev econ stud 29 1962 329 331 results for the discrete time adjustment process are reported and the restrictiveness of the model s assumptions are discussed

fiscal policy in the new neoclassical synthesis we analytically derive the cyclical effects of fiscal policy shocks in a new neoclassical synthesis model price stickiness has the consequence that a rise in government demand affects labor demand while at the same time the usual wealth effect boosts labor supply the strength of the demand effect depends on the response of the real interest rate governed by the monetary policy regime when the central bank controls money growth fiscal expansions are deflationary and might even be contractionary whereas output wages and inflation can increase when the rise in the real interest rate is dampened by an interest rate rule however price stickiness alone is not sufficient to explain a rise in consumption as predicted by keynesian theory

neither a borrower nor a lender be an economic analysis of interest restrictions and usury laws interest rate restrictions are pervasive and important regulations this article suggests that these restrictions served in part as a primitive means of social insurance lowering the rate of interest effectively transfers income to states of the world where individuals have a high marginal utility of income and are borrowers from states of the world where individuals have a low marginal utility of income and are lenders the model predicts that interest rate restrictions will be tighter when income inequality is high and impermanent and when growth rates are low furthermore loan supply must be somewhat inelastic data from u s states support a connection between inequality income shocks and tighter usury laws usury laws were also stricter in older more stable communities the history of usury laws suggests that this social insurance mechanism is one reason usury laws exist and persist but this history also suggests that usury laws have played many roles across time and that no one theory can po

debt nonneutrality policy interactions and macroeconomic stability we study the consequences of non neutrality of government debt for macroeconomic stabilization policy in an environment where prices are sticky assuming transaction services of government bonds ricardian equivalence fails because public debt has a negative impact on its marginal rate of return and thus on private savings stability of equilibrium sequences requires a stationary evolution of real public debt which steers inflation expectations and rules out endogenous fluctuations under anti inflationary monetary policy regimes macroeconomic fluctuations tend to decrease with the share of tax financing which justifies tight debt constraints in particular a balanced budget policy stabilizes the economy under cost push shocks such that output and inflation variances can be lower than in a corresponding case where debt is neutral

perils of unconventional monetary policy abstract unconventional monetary policy by relaxing restrictions on the composition of the balance sheet of the central bank compromises control over the stochastic path of inflation or in open economies over the stochastic path of exchange rates if the composition of the balance sheet is unrestricted then the path of inflation is indeterminate this is the case under pure quantitative easing where the target is the size of real money balances in contrast credit easing policies restrict the composition of the portfolio by targeting a specific expansion in the maturity profile of bonds bought and thus can implement a determinate path of inflation the composition of the portfolios traded by monetary fiscal authorities also determines premia in asset and currency markets

equilibrium selection in a nonlinear duopoly game with adaptive expectations abstract we analyze a nonlinear discrete time cournot duopoly game where players have adaptive expectations the evolution of expected outputs over time is generated by the iteration of a noninvertible two dimensional map the long run behavior is characterized by multistability that is the presence of coexisting stable consistent beliefs which correspond to nash equilibria in the quantity space hence a problem of equilibrium selection arises and the long run outcome strongly depends on the choice of the players initial beliefs we analyze the basins of attraction and their qualitative changes as the model parameters vary we illustrate that the basins might be nonconnected sets and reveal the mechanism which is responsible for this often neglected kind of complexity the analysis of the global bifurcations which cause qualitative changes in the topological structure of the basins is carried out by the method of critical curves

monetary policy rules in theory and in practice evidence from the uk and the us given the large amount of interaction between research on monetary policy and its practice this article examines whether some simple monetary policy rules that have been proposed in the academic literature part of which has originated from within central banks provide a reasonable characterization of actual policy in the united kingdom and the united states the article finds the simple rule that describes best the actual us monetary policy is a speed limit rule with dynamics whilst for the uk it is a forward looking rule the simpler dynamics in the uk s monetary policy rule are reflective of the lower persistence of inflation as a result of its policy of inflation targeting

does trade openness matter for aggregate instability abstract this paper presents a cash in advance model of a small open economy and shows that whether an inflation targeting interest rate rule introduces aggregate instability depends in general on the degree of openness to international trade this result emerges regardless of whether prices are sticky or flexible in a closed economy as the monetary authority responds to movements in inflation the resulting changes in interest rates affect aggregate consumption through an intertemporal substitution effect and an inflation tax effect in a small open economy this policy also induces changes in the terms of trade which depending on the degree of openness can generate counteracting effects on consumption as a consequence the implications of interest rate rules on macroeconomic stability in an open economy differ from those in a closed economy

does it matter for equilibrium determinacy what price index the central bank targets what inflation rate should the central bank target we address determinacy issues related to this question in a two sector model in which prices can differ in equilibrium we assume that the degree of nominal price stickiness can vary across the sectors and that labor is immobile the contribution of this paper is to demonstrate that a modified taylor principle holds in this environment if the central bank elects to target sector one and if it responds with a coefficient greater than unity to price movements in this sector then this policy rule will ensure determinacy across all sectors the results of this paper have at least two implications first the equilibrium determinacy criterion does not imply a preference to any particular measure of inflation second since the taylor principle applies at the sectoral level there is no need for a taylor principle at the aggregate level