why do we smile on the determinants of the implied volatility function abstract we report simple regressions and granger causality tests in order to understand the pattern of implied volatilities across exercise prices we employ all calls and puts transacted between 16 00 and 16 45 on the spanish ibex 35 index from january 1994 to april 1996 transaction costs proxied by the bid ask spread seem to be a key determinant of the curvature of the volatility smile moreover time to expiration the uncertainty associated with the market and the relative market momentum are also important variables in explaining the smile

determinants of donations in private nonprofit markets abstract we estimate the responsiveness of donations to a number of economic variables including price advertising and the availability of revenue from such other sources as government grants and program service sales utilizing a set of irs data on individual nonprofit organizations in each of seven industries including hospitals and higher education for the years 1982 1994 we find distinct overall patterns as well as notable variation across industries a nonprofit organization s fundraising expenditures are estimated to exert two countervailing effects on donations the direct advertising and information effect augments donations while the indirect effect on the price of donating has a negative effect we do not find evidence that fundraising is carried to the profit maximizing levels in some industries fundraising is substantially short of that level while in other industries it is excessive implying that the marginal return to fundraising is exceeded by the cost focusing on whether revenue from other sources affects donations to a nonprofit organization we find evidence that revenue from either government grants or from the organization s own program sales activity generally does not crowd out private donations to the contrary in most industries there are significant positive effects

public versus private governance a study of incentives and operational performance abstract this study explores incentives and performance in organizations governed by publicly elected boards of directors and subsidized by taxes such organizations are likely to underpay chief executive officers ceos resulting in selection and incentive problems and hence poor operating performance we compare municipal district hospitals to private nonprofit hospitals ceo compensation in district hospitals is significantly lower than in the nonprofits operating margins in district hospitals are lower and deteriorate more rapidly over time we rule out a number of other factors that could explain differences in performance we conclude that the weak governance structure hampers district hospitals

state dependent pricing and the dynamics of money and output standard macroeconomic models of price stickiness assume that each firm leaves its price unchanged for a fixed amount of time we present an alternative model in which the pricing decision depends on the state of the economy we find a method of aggregating individual price changes that allows a simple characterization of macroeconomic variables the model produces a positive money output correlation and an empirical phillips curve in addition the impact of monetary shocks depends crucially on the current level of output which points to a natural connection between state dependent microeconomics and state dependent macroeconomics i introduction there is a long tradition in macroeconomics of attributing the real effects of nominal demand shocks to nominal price stickiness in this view if there is no change in prices when nominal demand rises then quantities must bear the burden of adjustment hence nominal price rigidity provides the friction needed for nominal demand shocks to be transmitted to the real economy standard models of this transmission mechanism such as fischer 1977 and taylor 1980 are based on the assumption that each firm leaves its price unchanged for a fixed amount of time the main reason for considering such time dependent pricing rules is their analytic tractability constraining firms to adjust their prices at prespecified times both simplifies the derivation of equilibrium strategies and allows the use of powerful time series techniques to analyze aggregate dynamics the main disadvantage of the timedependent approach is that between price adjustments firms are not allowed to respond even to extreme changes of circumstance this makes it difficult to know whether the qualitative effects of money in these models are the result of nominal rigidities per se or of the exogenously imposed pattern of price changes an alternative approach to modeling price stickiness is to allow the price setting decision to depend on the actual state of the

pricing vxx option with default risk and positive volatility skew abstract this paper proposes and makes a comparative study of alternative models for vxx option pricing factors such as mean reversion jumps default risk and positive volatility skew are taken into consideration in particular default risk is characterized by jump to default framework and the positive volatility skew issue is addressed by stochastic volatility of volatility and jumps daily calibration is conducted and comparative study of the models is performed to check whether they properly fit market prices and generate reasonable positive volatility skews and deltas overall jump to default extended lrj model with positive correlated stochastic volatility called jdlrjsv in the paper serves as the best model in all the required aspects

aggregation and optimization with state dependent pricing a comment a key argument in caplin and leahy 1997 states that the correlation between monetary shocks and output is falling in the variance of the money supply we demonstrate that this conclusion depends on solving for the correlation in the nonstationary state of the model in the stationary state that correlation is initially rising

the pricing of options on assets with stochastic volatilities one option pricing problem that has hitherto been unsolved is the pricing of a european call on an asset that has a stochastic volatility this paper examines this problem the option price is determined in series form for the case in which the stochastic volatility is independent of the stock price numerical solutions are also produced for the case in which the volatility is correlated with the stock price it is found that the black scholes price frequently overprices options and that the degree of overpricing increases with the time to maturity one option pricing problem that has hitherto remained unsolved is the pricing of a european call on a stock that has a stochastic volatility from the work of merton 12 garman 6 and cox ingersoll and ross 3 the differential equation that the option must satisfy is known the solution of this differential equation is independent of risk preferences if a the volatility is a traded asset or b the volatility is uncorrelated with aggregate consumption if either of these conditions holds the risk neutral valuation arguments of cox and ross 4 can be used in a straightfoward way this paper produces a solution in series form for the situation in which the stock price is instantaneously uncorrelated with the volatility we do not assume that the volatility is a traded asset also a constant correlation between the instantaneous rate of change of the volatility and the rate of change of aggregate consumption can be accommodated the option price is lower than the blackscholes b s 1 price when the option is close to being at the money and higher when it is deep in or deep out of the money the exercise prices for which overpricing by b s takes place are within about ten percent of the security price this is the range of exercise prices over which most option trading takes place so we may in general expect the b s price to overprice options this effect is exaggerated as the time to maturity increases one of the most surprising implications of this is that if the b s equation is used to determine the implied volatility of a near the money option the longer the time to maturity the lower the implied volatility numerical solutions for the case in which the volatility is correlated with the stock price are also examined the stochastic volatility problem has been examined by merton 13 geske 7 johnson 10 johnson and shanno 11 eisenberg 5 wiggins 16 and

recovering probability distributions from option prices this article derives underlying asset risk neutral probability distributions of european options on the s p 500 index nonparametric methods are used to choose probabilities that minimize an objective function subject to requiring that the probabilities are consistent with observed option and underlying asset prices alternative optimization specifications produce approximately the same implied distributions a new and fast optimization technique for estimating probability distributions based on maximizing the smoothness of the resulting distribution is proposed since the crash the risk neutral probability of a three four standard deviation decline in the index about 36 percent 46 percent over a year is about 10 100 times more likely than under the assumption of lognormality recently the increasing popularity of derivatives and some highly publicized failures to control risk have led to increased efforts to find reasonable methods to measure the sensitivity of large institutional derivatives portfolios to extreme events merely because such events are rare is not sufficient to ignore them since on the few occasions when they do occur significant amounts of money can change hands potentially wiping out profits accumulated over long prior periods a key assumption behind methods of estimation is the joint probability distribution of constituent underlying asset returns this has long been a concern of financial economists since probability assumptions are critical to much of their research during the last quarter century heretofore probability distributions of stock market returns have typically been estimated from historical time series unfortunately common hypotheses may not capture the probability of extreme events and the events of interest are rare or may not be present in the historical record even though they are clearly possible

demand for collective goods in private nonprofit markets can fundraising expenditures help overcome free rider behavior abstract economic theory ascribes the primary role in the provision of public goods to government this emphasis on government overlooks the role of the not for profit sector in providing collective type goods in this paper we seek to determine the factors influencing charitable contributions to private nonprofit organizations by estimating a demand function for the output of these collective good providers specifically we test the hypothesis that voluntary giving is responsive to conventional market variables such as advertising expenditures price and quality overall the results are strongly supportive

board composition and nonprofit conduct evidence from hospitals abstract this study uses data from hospitals to test the hypothesis that management representation on nonprofit boards leads to excessive ceo pay defined as compensation that exceeds the level predicted by a market wage model we document a relatively small but statistically significant positive association between ceo pay and insider boards that include the ceo and other employees as members additional tests confirm that this result is not driven by endogenous board structure and that excess pay is greater in the absence of competition from for profit hospitals we then examine whether management board representation is associated with larger underlying agency concerns that lead to reduced donations our tests do not support this hypothesis but do however reveal a negative correlation between donations and physician representation on the board suggesting a potential conflict between the interests of donors and non employee physicians our overall evidence provides empirical support for modeling nonprofit organizations as consisting of competing stakeholders

s s pricing in a dynamic equilibrium model with heterogeneous sectors we study the impact of two sided nominal shocks in a dynamic equilibrium macroeconomic model goods complementarity differs across sectors as do the costs of changing prices even when strategic complementarities are equal across the sectors the systematic differences in costs of price adjustment mean nominal shocks have a sizeable impact on aggregate output and prices we exploit certain fundamental properties of markov processes to obtain analytical expressions for the stationary distributions of aggregate output and prices for the case of two sectors

menu costs and phillips curves this paper develops a model of a monetary economy in which individual firms are subject to idiosyncratic productivity shocks as well as general inflation sellers can change price only by incurring a real menu cost we calibrate this cost and the variance and autocorrelation of the idiosyncratic shock using a new u s data set of individual prices due to klenow and kryvtsov the prediction of the calibrated model for the effects of high inflation on the frequency of price changes accords well with international evidence from various studies the model is also used to conduct numerical experiments on the economy s response to various shocks in none of the simulations we conducted did monetary shocks induce large or persistent real responses

the weekend effect on the distribution of stock prices abstract evidence of weekend effects on the distribution of security returns suggests that returns are generated by a process operating closer to trading time rather than calendar time in contrast accumulation of interest over the weekend follows a calendar time process since both the variance of returns and the interest rate are important parameters of the black scholes option pricing model this paper suggests that the model be stated to account for this by utilizing a trading time variance and a calendar time interest rate empirical evidence indicates that this allows the model to better explain market option prices

a new factor to explain implied volatility smirk in this paper we find empirical evidence of a new smirk factor obtained from the jump structure of the risk neutral distribution of the underlying levy process as an application we show how to price a barrier style contract

stochastic volatility option pricing this paper examines alternative methods for pricing options when the underlying security volatility is stochastic we show that when there is no correlation between innovations in security price and volatility the characteristic function of the average variance of the price process plays a pivotal role it may be used to simplify fourier option pricing techniques and to implement simple power series methods we compare these methods for the alternative mean reverting stochastic volatility models introduced by stein and stein 1991 and heston 1993 we also examine the biases in the black scholes model that are eliminated by allowing for stochastic volatility and we correct some errors in the stein and stein 1991 analysis of this issue empirical evidence on underlying asset prices and on their derivatives strongly suggests that asset price volatility is stochastic the pricing of options under this condition is therefore an important problem in this paper we study alternative option pricing methods that account for stochastic volatility we are particularly concerned with power series methods which we show to be quite accurate and easy to implement for alternative volatility specifications we point out their relation with recently proposed exact methods this permits a precise assessment of the approximation involved in the simple power series approach and of the impact of stochastic volatility on option prices following garman 1976 stochastic volatility option prices must satisfy a bivariate fundamental partial differential equation pde in the two state variables security price and volatility since volatility is not spanned by assets in the econ omy the volatility risk may not be eliminated by arbitrage methods therefore its market price explicitly enters into the pde the associated risk premium is owen graduate school of management vanderbilt university nashville tn 37203 and universita di siena facolta di scienza economiche e bancarie 53100 siena italy respectively part of this research was supported from a grant from the dean s fund and the financial markets research center at the owen school of management vanderbilt university some of this research was completed while roma was visiting the anderson graduate school of management ofthe university of california at los angeles we thank participants of the finance accounting and economics workshop at the owen school of management vanderbilt university for useful comments we appreciate the suggestions of roger huang craig lewis ron masulis and walter torous we thank joanne ball for editorial

stock price distributions with stochastic volatility an analytic approach we study the stock price distributions that arise when prices follow a diffusion process with a stochastically varying volatility parameter we use analytic techniques to derive an explicit closed form solution for the case where volatility is driven by an arithmetic ornstein ublenbeck or ar1 process we then apply our results to two related problems in the finance literature 1 options pricing in a world of stochastic volatility and 2 the relationship between stochastic volatility and the nature of fat tailes in stock price distributions article published by oxford university press on behalf of the society for financial studies in its journal the review of financial studies

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

the finite moment log stable process and option pricing we document a surprising pattern in s p 500 option prices when implied volatilities are graphed against a standard measure of moneyness the implied volatility smirk does not flatten out as maturity increases up to the observable horizon of two years this behavior contrasts sharply with the implications of many pricing models and with the asymptotic behavior implied by the central limit theorem clt we develop a parsimonious model which deliberately violates the clt assumptions and thus captures the observed behavior of the volatility smirk over the maturity horizon calibration exercises demonstrate its superior performance against several widely used alternatives

inferring volatility dynamics and risk premia from the s p 500 and vix markets abstract we estimate a flexible affine model using an unbalanced panel containing s p 500 and vix index returns and option prices and analyze the contribution of vix options to the model s in and out of sample performance we find that they contain valuable information on the risk neutral conditional distributions of volatility at different time horizons which is not spanned by the s p 500 market this information allows enhanced estimation of the variance risk premium we gain new insights on the term structure of the variance risk premium present a trading strategy exploiting these insights and show how to improve s p 500 return forecasts

the effect of physician board membership on uncompensated care provision previous studies indicate that nonprofit and for profit hospitals provide comparable levels of uncompensated care when taking into account their sizes this evidence suggests that for profit hospitals extract some indirect benefit when providing uncompensated care our article investigates how physician board membership affects uncompensated care provision with data for hospitals in california from 1997 to 2010 we estimate a fixed effect model where uncompensated care is a function of physician board membership other board attributes as well as hospital characteristics our results indicate that physician board membership in for profit hospitals relates positively with uncompensated care provision prior evidence such as goldstein and ward 2004 and molinari et al 1995 has shown that involving physicians in strategic decisions improves hospitals financial performance our results reinforce the notion that having physicians in leadership or strategic positions benefits for profit hospitals in

ideals versus dollars donors charity managers and government grants this paper demonstrates how changes in untied lump sum government grants or income from unrestricted endowments will affect the behavior of charities operated by managers with strong philosophical or professional commitments an increase in such funds will reduce the charity s accountability to private donors and lower its fund raising activities the grant will not be spent entirely on raising the quantity of output instead it will permit the charity manager to reduce his or her dependence on the costly solicitation of donors who do not completely share the manager s preferences in order to understand nonprofit charities one must recognize both their diversity and the independent role of their managers in furthering this diversity we will miss much of their special character if we view them as mere conduits seeking faithfully to reify the wishes of their contributors in this paper i demonstrate how an increase or a fall in untied lump sum government grants or income from unrestricted endowments will affect the behavior of charities operated by managers with strong philosophical or professional commitments to some service mixes rather than others an increase in such funds will reduce the charity s accountability to private donors and lower its fund raising activities the grant will not be spent entirely on raising

managerial rewards and the behavior of for profit governmental and nonprofit organizations evidence from the hospital industry abstract studies of mixed industries frequently focus on differential behavior between for profit and either nonprofit or governmental producers substantially less is known about differences among governmental religious nonprofit and secular nonprofit organizations we examine the compensation of hospital ceos to assess the extent to which these three organizational forms pursue similar objectives compensation levels the use of salaries versus bonuses as proxies for weak versus strong incentives and the criteria organizations use to determine bonuses are analyzed we conclude that the ceo incentive contracts at religious nonprofit secular nonprofit and governmental hospitals imply substantive differences in the behavior of these organizations

a theory of yardstick competition in the typical regulatory scheme a franchised monopoly has little incentive to reduce costs this article proposes a mechanism in which the price the regulatedfirm receives depends on the costs of identical firms in equilibrium each firm chooses a socially efficient level of cost reduction the mechanism generalizes to cover heterogeneous firms with observable differences medicare s prospective reimbursement of hospitals by using diagnostically related groups is a scheme very similar to the one outlined here

trading and liquidity on the tokyo stock exchange a bird s eye view the trading mechanism for equities on the tokyo stock exchange tse stands in sharp contrast to the primary mechanisms used to trade stocks in the united states in the united states exchange designated specialists have affirmative obligations to provide continuous liquidity to the market specialists offer simultaneous and tight quotes to both buy and sell and supply sufficient liquidity to limit the magnitude of price changes between consecutive transactions in contradistinction the tse has no exchange designated liquidity suppliers instead liquidity is provided through a public limit order book and liquidity is organized through restrictions on maximum price changes between trades that serve to slow down trading in this article we examine the efficacy of the tse s trading mechanisms at providing liquidity our analysis is based on a complete record of transactions and best bid and best offer quotes for most stocks in the first section of the tse over a period of 26 months we study the size of the bid ask spread and its cross sectional and intertemporal stability intertemporal patterns in returns volatility volume trade size and the frequency of trades and market depth based on the response of quotes to trades and the frequency of trading halts and warning quotes the trading mechanism for equities on the tokyo stock exchange tse stands in sharp contrast to the primary mechanisms used to trade stocks in the united states in the united states exchange designated specialists have affirmative obligations to provide continuous liquidity in the market and to maintain a private limit order book with the public s limit orders on the tse exchange designated intermediaries saitori log limit orders and match them to incoming market orders but provide no market making services in the united states specialists offer simultaneous and tight quotes to both buy and sell on the tse public limit orders constitute the available bids and offers in the united states specialists supply sufficient liquidity to limit the magnitude of price changes between consecutive transactions 1 on the tse the market mechanism places limits on the magnitude of consecutive price

testing for linear and nonlinear granger causality in the stock price volume relation linear and nonlinear granger causality tests are used to examine the dynamic relation between daily dow jones stock returns and percentage changes in new york stock exchange trading volume we find evidence of significant bidirectional nonlinear causality between returns and volume we also examine whether the nonlinear causality from volume to returns can be explained by volume serving as a proxy for information flow in the stochastic process generating stock return variance as suggested by clark s 1973 latent common factor model after controlling for volatility persistence in returns we continue to find evidence of nonlinear causality from volume to returns

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

a dynamic economy with costly price adjustments this paper studies a general equilibrium model of a dynamic economy with menu costs each firm s productivity is exposed to idiosyncratic and aggregate productivity shocks around a trend and the money supply to monetary shocks around a trend all consumption pricing and production decisions are based on optimizing behavior there exists a staggered markov perfect equilibrium with prices determined by a two sided s s markup strategy the paper analyzes the optimal markup strategy and investigates the dynamics of the price index and the aggregate output the welfare consequences of the uncertain aggregate productivity and money supply are also examined

the implied volatility smirk in the vxx options market abstractthe vxx option market has grown in popularity alongside the vxx etn market in activity and size of oustanding positions yet there is no complete vxx option pricing model this paper is the

partners in giving the crowding in effects of uk government grants abstract this study examines the determinants of voluntary donations to uk charities using empirical specifications that combine error component and simultaneous equations methods in a series of tests we identify the one way fixed effects endogenous representation for government grants as the best empirical model when this endogeneity is taken into account government grants cause significant crowding in for the full sample and the two largest cohorts price coefficients are negative and fund raising coefficients are positive religion charities are net revenue maximizers whereas other charity cohorts fund raise short of net revenue maximization

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

how do nonprofit hospitals manage earnings abstract we hypothesize that unlike for profit firms nonprofit hospitals have incentives to manage earnings to a range just above zero we consider two ways managers can achieve this they can adjust discretionary spending hoerger t j 1991 profit variability in for profit and not for profit hospitals journal of health economics 10 259 289 and or they can adjust accounting accruals using the flexibility inherent in generally accepted accounting principles gaap to test our hypothesis we use regressions as well as tests of the distribution of earnings by burgstahler and dichev burgstahler d dichev i 1997 earnings management to avoid earnings decreases and losses journal of accounting and economics 24 99 126 on a sample of 1 204 hospitals and 8 179 hospital year observations our tests support the use of discretionary spending and accounting accrual management like hoerger 1991 we find evidence that nonprofit hospitals adjust discretionary spending to manage earnings however we also find significant use of discretionary accruals e g adjustments to the third party allowance and allowance for doubtful accounts to meet earnings objectives these findings have two important implications first the previous evidence by hoerger that nonprofit hospitals show less variation in income may at least partly be explained by an accounting phenomenon second our findings provide guidance to users of these financial statements in predicting the direction of likely bias in reported earnings

valuation of vix derivatives abstract we conduct an extensive empirical analysis of vix derivative valuation models before during and after the 2008 2009 financial crisis since the restrictive mean reversion and heteroskedasticity features of existing models yield large distortions during the crisis we propose generalisations with a time varying central tendency jumps and stochastic volatility analyse their pricing performance and implications for term structures of vix futures and volatility skews we find that a process for the log of the observed vix combining central tendency and stochastic volatility reliably prices vix derivatives we also uncover a significant risk premium that shifts the long run volatility level

monetary non neutrality in a multisector menu cost model empirical evidence suggests that as much as one third of the u s business cycle is due to nominal shocks we calibrate a multisector menu cost model using new evidence on the cross sectional distribution of the frequency and size of price changes in the u s economy we augment the model to incorporate intermediate inputs we show that the introduction of heterogeneity in the frequency of price change triples the degree of monetary non neutrality generated by the model we furthermore show that the introduction of intermediate inputs raises the degree of monetary non neutrality by another factor of three without adversely affecting the model s ability to match the large average size of price changes a single sector model with a frequency of price change equal to the median rather than the mean generates monetary non neutrality similar to that in our multisector model our multisector model with intermediate inputs generates variation in real output in response to calibrated aggregate nominal shocks that can account for roughly 23 of the u s business cycle

optimum pricing policy under stochastic inflation we describe aggregate inflation as a stochastic process in which the rate of change of the price level can be positive or zero where the times spent in each state are of random duration this class of processes includes two state markov chains and renewal processes as special cases it is shown that the optimal pricing policy of a monopolistic firm with non convex costs of price adjustment is s s in its real price i e its nominal price relative to the price level a basic certainty equivalence result is proved i e the firm behaves as if it faces a certain and fixed rate of inflation higher than the actual expected rate the difference between the two rates being a risk premium which depends on the real interest rate and the parameters of the stochastic process one can thus apply previous results from the case of certainty sheshinski and weiss review of economic studies 1977 to obtain comparative static results in particular one finds that an increase in the variance of expected inflation leads firms to choose a pricing policy with larger amplitude in real price the paper also addresses the question of consistency in firms expectations when the price level is determined by the firms actions in this paper we consider pricing policies of individual firms in an inflationary environment each firm expects the general price level to increase and must determine the rate of increase of its own price it is assumed that the firm incurs an adjustment cost when it changes its nominal price consequently firms choose to change prices occasionally rather than continuously

state dependent pricing and the general equilibrium dynamics of money and output economists have long suggested that nominal product prices are changed infrequently because of fixed costs in such a setting optimal price adjustment should depend on the state of the economy yet while widely discussed statedependent pricing has proved difficult to incorporate into macroeconomic models this paper develops a new tractable theoretical state dependent pricing framework we use it to study how optimal pricing depends on the persistence of monetary shocks the elasticities of labor supply and goods demand and the interest sensitivity of money demand

idiosyncratic shocks and the role of nonconvexities in plant and aggregate investment dynamics we examine a model of lumpy investment wherein establishments face persistent shocks to common and plant specific productivity and nonconvex adjustment costs lead them to pursue generalized s s investment rules we allow persistent heterogeneity in both capital and total factor productivity alongside low level investments exempt from adjustment costs to develop the first model consistent with available evidence on establishment level investment rates reassessing the implications of lumpy investment for aggregate dynamics in this setting we find that they remain substantial when factor supply considerations are ignored but are quantitatively irrelevant in general equilibrium the substantial implications of general equilibrium extend beyond the dynamics of aggregate series while the presence of idiosyncratic shocks makes the time averaged distribution of plant level investment rates largely invariant to market clearing movements in real wages and interest rates we show that the dynamics of plants investments differ sharply in their presence thus model based estimations of capital adjustment costs involving panel data may be quite sensitive to the assumption about equilibrium our analysis also offers new insights about how nonconvex adjustment costs influence investment at the plant when establishments face large and weakly persistent idiosyncratic productivity shocks consistent with existing estimates we find that nonconvex costs do not cause lumpy investments but act to eliminate them

nonparametric tests of alternative option pricing models using all reported trades and quotes on the 30 most active cboe option classes from august 23 1976 through august 31 1978