order flow transaction clock and normality of asset returns the goal of this paper is to show that normality of asset returns can be recovered through a stochastic time change clark 1973 addressed this issue by representing the price process as a subordinated process with volume as the lognormally distributed subordinator we extend clark s results and find the following i stochastic time changes are mathematically much less constraining than subordinators ii the cumulative number of trades is a better stochastic clock than the volume for generating virtually perfect normality in returns iii this clock can be modeled nonparametrically allowing both the time change and price processes to take the form of jump diffusions the relations among trading volume stock prices and price volatility the subject of empirical and theoretical studies over many years have lately received renewed attention with the increased availability of high frequency data a vast amount of research has focused on issues such as news arrivals volume and price changes or volatility moves usually outside any framework of general or even partial equilibrium is the normality of returns a key issue for example in the mean variance paradigm for portfolio choice or the recent study of the problems of risk management e g in value at risk verified at any time horizon the evidence accumulated from a number of studies that document the presence of leptokurtosis and skewness in the distribution of returns of a wide variety of financial assets suggests that the answer is no studies as early as for example fama 1965 showed that daily returns are more long tailed than the normal density with the distribution of returns approaching normality as the holding period is extended to one month in the same manner volatility smiles and other observed

the macroeconomic news cycle and uncertainty resolution we examine the behavior of return volatility and trading at 5 minute intervals in the treasury bond futures market in the context of the monthly macroeconomic news cycle we advance and confirm the hypothesis that volatility and trading activity are higher in the first half of the month the data indicate that these patterns arise from at least two sources 1 a higher level of uncertainty regarding the value of news in announcements in the first half of the month and 2 improvement in efficiency of macroeconomic forecasts from the first to the second half of the month

model complexity and out of sample performance evidence from s p 500 index returns abstract we apply a range of out of sample specification tests to more than forty competing stochastic volatility models to address how model complexity affects out of sample performance using daily s p 500 index returns model confidence set estimations provide strong evidence that the most important model feature is the non affinity of the variance process despite testing alternative specifications during the turbulent market regime of the global financial crisis of 2008 we find no evidence that either finite or infinite activity jump models or other previously proposed model extensions improve the out of sample performance further applications to value at risk demonstrate the economic significance of our results furthermore the out of sample results suggest that standard jump diffusion models are misspecified

quantifying and understanding the economics of large financial movements abstract financial market data offer the exciting possibility of quantifying and understanding the physics of a complex dynamical system and the hope that this line of thinking may give some insights into understanding collective human behavior various measures of stock market activity have been found to exhibit puzzling features that have recently attracted much research attention these features include the power law distributions of return volume number of trades assets under management of trading institutions and other power law relations linking them here we review these empirical results and show that some of these findings can be usefully interpreted within the framework of a reduced form model gabaix x gopikrishnan p plerou v stanley h e 2003 a theory of power law distributions in financial market fluctuations nature 423 267 270 and an economic model gabaix x gopikrishnan p plerou v stanley h e 2006b institutional investors and stock market volatility quarterly journal of economics 121 461 504 the features not only present a challenge to models of market fluctuations but their specific power law nature also suggests new modeling directions which include ideas from statistical physics which proved useful in understanding similar relationships that occur in the physics of critical phenomena

structural changes in volatility and stock market development evidence for spain abstract in this paper we review the factors that lead to changes in stock market volatility and use alternative methodologies of endogenous breakpoint detection in order to analyze whether the volatility of the spanish stock market has changed significantly over the period 1941 2001 this period corresponds to years of profound development of both the financial and the productive sides of the economy in this country the analysis of the spanish stock market suggests that volatility has behaved in a different manner over the period 1941 2001 after three decades of low volatility a structural break in volatility is detected in 1972 coinciding with the opening of the spanish economy from 1972 to 2001 the years of more intense financial development the stock market presents a higher level of volatility and lower persistence this effect is partly attributable to the increased growth of trading volume brought about by the economic development process

risk neutral parameter shifts and derivatives pricing in discrete time we obtain a large class of discrete time risk neutral valuation relationships or preference free derivatives pricing models by imposing a simple restriction on the state price density process the risk neutral stock return and forward rate dynamics are obtained by changing only a location parameter which can be determined independent of the preference and true location parameters the gaussian models of rubinstein 1976 brennan 1979 and c mera 2003 and the gamma model of heston 1993 are all special cases the model provides simple relationships between expected returns and state price density parameters analogous to the diffusion case

the variance gamma v g model for share market returns a new stochastic process termed the variance gamma process is proposed as a model for the uncertainty underlying security prices the unit period distribution is normal conditional on a variance that is distributed as a gamma variate its advantages include long tailedness continuous time specification finite moments of all orders elliptical multivariate unit period distributions and good empirical fit the process is pure jump approximable by a compound poisson process with high jump frequency and low jump magnitudes applications to option pricing show differential effects for options on the money compared to in or out of the money copyright 1990 by the university of chicago

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

the multinomial option pricing model and its brownian and poisson limits the cox ross and rubinstein binomial model is generalized to the multinomial case limits are investigated and shown to yield the blacks scholes formula in the case of continuous sample paths for formula in the case of complete market structures in the discontinuous case a merton type formula is shown to result provided jump probabilities are replaced by their corresponding arrow debreu prices article published by oxford university press on behalf of the society for financial studies in its journal the review of financial studies

pricing and financial resources an analysis of the disk drive industry 1980 88 this paper empirically examines the long purse hypothesis formalized by patrick bolton and david scharfstein 1990 that incumbents may drive out entrants through aggressive pricing the author analyzes the pricing of 733 disk drives between 1980 and 1988 drives that are adjacent to those manufactured by thinly capitalized undiversified rivals are priced lower than other drives during the later years in the sample when little equity financing was available to these firms the results are robust to controls for alternative hypotheses and to other specifications of the hedonic regression copyright 1995 by mit press

price volatility trading volume and market depth evidence from futures markets the relations between volume volatility and market depth in eight physical and financial futures markets are examined evidence suggests that linking volatility to total volume does not extract all information when volume is partitioned into expected and unexpected components the paper finds that unexpected volume shocks have a larger effect on volatility further the relation is asymmetric the impact of positive unexpected volume shocks on volatility is larger than the impact of negative shocks finally consistent with theories of market depth the study shows large open interest mitigates volatility

a study of cartel stability the joint executive committee 1880 1886 this article employs weekly time series data on the joint executive committee railroad cartel from 1880 to 1886 to test empirically the proposition that observed prices reflected switches from collusive to noncooperative behavior an equilibrium model of dynamic oligopoly with asymmetric firms together with explicit functional form assumptions about costs and demand determines the estimating equations and stochastic structure of the econometric model the hypothesis that no switch took place so that price and quantity movements were solely attributable to exogenous shifts in the demand and cost functions is then tested against this alternative and rejected

financial signalling and the deep pocket argument this article provides a formal representation of telser s 1966 deep pocket argument by considering a model in which the entrant s and the incumbent s financial structures are endogenous the entrant s financial vulnerability may be explained by informational asymmetries in financial markets financiers are uncertain of the entrant s true value but they know the incumbent s true worth both firms have to finance a fixed expenditure before starting production in equilibrium the incumbent finances with equity while the high value entrant comes into the market heavily leveraged compared with the incumbent this provides an incentive for the incumbent to engage in predatory practices such as a price war to exhaust the entrant financially and cause his bankruptcy

forward curves scarcity and price volatility in oil and natural gas markets the role of inventory in explaining the shape of the forward curve and spot price volatility in commodity markets is central in the theory of storage developed by kaldor kaldor n 1939 speculation and economic stability the review of economic studies 7 1 27 and working working h 1949 the theory of the price of storage american economic review 39 1254 1262 and has since been documented in a vast body of financial literature including the reference paper by fama and french fama e f and k r french 1987 commodity futures prices some evidence on forecast power premiums and the theory of storage journal of business 60 55 73 on metals the goal of this paper is twofold i validate in the case of oil and natural gas the use of the slope of the forward curve as a proxy for inventory the slope being defined in a way that filters out seasonality ii analyze directly for these two major commodities the relationship between inventory and price volatility in agreement with the theory of storage we find that i the negative correlation between price volatility and inventory is globally significant for crude oil ii this negative correlation prevails only during those periods of scarcity when the inventory is below the historical average and increases importantly during the winter periods for natural gas our results are illustrated by the analysis of a 15 year database of us oil and natural gas prices and inventory

competitive inventory management in treasury markets abstract we decompose us treasury bid ask spreads into inventory adverse selection and order processing costs by using the fact that inventory trades have different effects on spreads than do proprietary trades we exploit this asymmetry and develop a technique to identify the three components of the spread in order to test three hypotheses dealers make larger changes to inventory 1 following macroeconomic announcements 2 at the start and toward the end of the new york trading hours and 3 when transaction sizes are relatively large we test these predictions using govpx data for on the run 2 year and 10 year treasury notes all three predictions are supported we also assess how primary dealers react to the federal reserve s open market operations omos our findings reveal interesting intraday patterns in the inventory component for both securities

multiple equilibria in markets with screening this paper adds endogenous screening to broecker 1990 and shows the possibility of multiple screening equilibria a high intensity of screening by a bank decreases average quality of firms applying to other banks which in turn have further incentives to screen the link between the degree of concentration of the banking industry and the extension of credit is also discussed

predatory pricing and the acquisition cost of competitors this paper investigates whether predatory price cutting reduces a trust s cost of acquiring its competitors a variant of the litzenberger rao valuation model is estimated with the expenditures for 43 rival firms purchased by the old american tobacco company between 1891 and 1906 the coefficient estimates indicate that ceteris paribus alleged predation significantly lowered the acquisition costs of the tobacco trust both for asserted victims and through reputation effects for competitors that sold out peacefully although qualified by data limitations these results support the classical view of predatory pricing as a systematic business practice

the community reinvestment act and mortgage lending to lower income borrowers and neighborhoods abstractthis paper evaluates the community reinvestment act cra a law mandating that banks help meet the credit needs of lower income households and neighborhoods to measure the effect of the law on lending to targeted groups since 1994 i take advantage of discontinuous targeting rules and abrupt changes in target status on average the cra appears to have had little impact on mortgage lending even during the mid 2000s when lending to lower income areas nevertheless soared i do find a significant effect during the late 1990s and early 2000s in large metropolitan areas when and where the cra may have been most binding i use this episode to test the effect of the cra on overall mortgage availability that is lending by both regulated and unregulated institutions the results are consistent with the notion that government intervention in credit markets may be justified on the grounds that information externalities exist and can depress credit supply

a direct test of the mixture of distributions hypothesis measuring the daily flow of information this paper proposes and conducts direct tests of the mixture of distributions model for stock prices by exploiting the model s bivariate conditional normality of price changes and trading volume these restrictions can be tested under very weak assumptions regarding the daily flow of information to the market as a technical by product important parameters governing the distribution of this unobservable information flow are estimated

from measure changes to time changes in asset pricing abstract the goal of the paper is to review the last 35 years of continuous time finance by focusing on two major advances i the powerful elegance of the martingale representation for primitive assets and attainable contingent claims in more and more general settings thanks to the probabilistic tool of probability change and the economic flexibility in the choice of the numeraire relative to which prices are expressed this numeraire evolved over time from the money market account to a zero coupon bond or a stock price lastly to strictly positive quantities involved in the libor or swap market models and making the pricing of caps or swaptions quite efficient ii the persistent central role of brownian motion in finance across the 20th century even when the underlying asset price is a very general semi martingale the no arbitrage assumption and monroe theorem monroe i 1978 processes that can be embedded in brownian motion annals of probability 6 42 56 allow us to write it as brownian motion as long as we are willing to change the time the appropriate stochastic clock can be shown empirically to be driven by the cumulative number of trades hence by market activity consequently starting with a general multidimensional stochastic process s defined on a probability space f f t p and representing the prices of primitive securities the no arbitrage assumption allows for any chosen numeraire to obtain a martingale representation for s under a probability measure qs equivalent to p this route will be particularly beneficiary for the pricing of complex contingent claims alternatively changing the clock i e changing the filtration f t we can recover the brownian motion and normality of returns in all cases martingales appear as the central representation of asset prices either through a measure change or through a time change

collusion and price rigidity we consider an in nitely repeated bertrand game in which prices are publicly observed and each rm receives a privately observed i i d cost shock in each period we focus on symmetric perfect public equilibria sppe wherein any punishments are borne equally by all rms we identify a tradeoff that is associated with collusive pricing schemes in which the price to be charged by each rm is strictly increasing in its cost level such fully sorting schemes offer efficiency bene ts as they ensure that the lowest cost rm makes the current sale but they also imply an informational cost distorted pricing and or equilibrium path price wars since a higher cost rm must be deterred from mimicking a lower cost rm by charging a lower price a rigid pricing scheme where a rm s collusive price is independent of its current cost position sacri ces efficiency bene ts but also diminishes the informational cost for a wide range of settings the optimal symmetric collusive scheme requires i the absence of equilibrium path price wars and ii a rigid price if rms are sufficiently impatient however the rigid pricing scheme cannot be enforced and the collusive price of lower cost rms may be distorted downward in order to diminish the incentive to cheat when the model is modi ed to include i i d public demand shocks the downward pricing distortion that accompanies a rm s lower cost realization may occur only when current demand is high

the importance of lender heterogeneity in mortgage lending abstract previous studies of the mortgage lending process which fail to adequately account for inter lender differences suffer from a potentially serious omitted variables bias using a sample of 23 094 home purchase mortgage applications from pinellas county st petersburg florida over the 1993 1995 interval i demonstrate that the inclusion of lender characteristics enhances the predictive power of accept reject decision models of mortgage origination in addition the inclusion of lender attributes is shown to substantially influence the coefficient estimates of additional model parameters of interest such as the applicant race and neighborhood racial composition variables finally this study provides unique and supportive evidence regarding the existence and persistence of information externalities in home purchase mortgage markets

modeling and measuring intraday overreaction of stock prices abstract we introduce a model for stock prices consisting of a fundamental price process and a news impact curve which allows for either overreaction underreaction or correct response to changes of the fundamental value we further develop statistics based on ohlc data which separately measure upside and downside overreaction the distribution of these statistics under the hypothesis of correct response and fundamental prices following brownian motions is used to derive tests for upside and downside overreaction we show that more realistic and frequently used fundamental price processes with correct response leave the distribution of the test statistics widely unaffected or lead to conservative tests empirical application to different stock markets provides strong evidence for intraday overreaction particularly to bad news the economic significance of the discrimination induced by the proposed statistics is further illustrated by analyzing the performance of a simple buy on bad news strategy

information neighborhood characteristics and home mortgage lending abstract this study explores the role of information externalities and neighborhood characteristics in mortgage lending it assumes that a lender s knowledge about a neighborhood depends on its physical distance to that neighborhood in addition this paper proposes a measure of correlation in outcomes of loans made for neighboring properties to assess the effect of neighborhood attributes the empirical results reveal that loan rejection rates rise with increases in the lender property distance for applications received by small institutions furthermore the effect of neighborhood attributes is modest conditional on loan applicant and lender characteristics further exploration indicates group disparities in these effects

time changed levy processes and option pricing abstract the classic black scholes option pricing model assumes that returns follow brownian motion but return processes differ from this benchmark in at least three important ways first asset prices jump leading to non normal return innovations second return volatilities vary stochastically over time third returns and their volatilities are correlated often negatively for equities time changed levy processes can simultaneously address these three issues we show that our framework encompasses almost all of the models proposed in the option pricing literature and it is straightforward to select and test a particular option pricing model through the use of characteristic function technology

macroeconomic news announcements and stock market jump intensity dynamics abstract this paper examines the effect of macroeconomic releases on stock market volatility through a poisson gaussian garch process with time varying jump intensity which is allowed to respond to such information the day of the announcement per se is found to have little impact on jump intensities employment releases are an exception however when macroeconomic surprises are considered inflation shocks show persistent effects while monetary policy and employment shocks reveal only short lived effects also the jump intensity responds asymmetrically to macroeconomic shocks evidence on macroeconomic variables relevance in explaining jump dynamics and improving volatility forecasts on event days is provided

collusion under monitoring of sales collusion under imperfect monitoring is explored when firms prices are private information and their quantities are public information such an information structure is consistent with several recent price fixing cartels such as those in lysine and vitamins for a class of symmetric oligopoly games it is shown that symmetric equilibrium punishments cannot sustain any collusion an asymmetric punishment is characterized that does sustain collusion and it has firms whose sales exceed their quotas compensating those firms with sales below their quotas in practice cartels could have performed such transfers through sales among the cartel members

what determines cartel success following george stigler 1964 many economists assume that incentive problems undermine attempts by firms to collude to raise prices and restrict output but the potential profits from collusion can create a powerful incentive as well theory cannot tell us a priori which effect will dominate whether or when cartels succeed is thus an empirical question we examine a wide variety of empirical studies of cartels to answer the following questions 1 can cartels succeed 2 if so for how long 3 what impact do cartels have 4 what causes cartels to break up we conclude that many cartels do survive and that the distribution of duration is bimodal while the average duration of cartels across a range of studies is about five years many cartels break up very quickly i e in less than a year but there are many others that last between five and ten years and some that last decades limited evidence suggests that cartels are able to increase prices and profits to varying degrees cartels can also affect other non price variables including advertising innovation investment barriers to entry and concentration cartels break up occasionally because of cheating or lack of effective monitoring but the biggest challenges cartels face are entry and adjustment of the collusive agreement in response to changing economic conditions cartels that develop organizational structures that allow them the flexibility to respond to these changing conditions are more likely to survive price wars that erupt are often the result of bargaining issues that arise in such circumstances sophisticated cartel organizations are also able to develop multipronged strategies to monitor one another to deter cheating and a variety of interventions to increase barriers to entry

continuous time models realized volatilities and testable distributional implications for daily stock returns we provide an empirical framework for assessing the distributional properties of daily speculative returns within the context of the continuous time jump diffusion models traditionally used in asset pricing finance our approach builds directly on recently developed realized variation measures and non parametric jump detection statistics constructed from high frequency intra day data a sequence of simple to implement moment based tests involving various transformations of the daily returns speak directly to the importance of different distributional features and may serve as useful diagnostic tools in the specification of empirically more realistic continuous time asset pricing models on applying the tests to the 30 individual stocks in the dow jones industrial average index we find that it is important to allow for both time varying diffusive volatility jumps and leverage effects to satisfactorily describe the daily stock price dynamics copyright 2009 john wiley sons ltd

when does predation dominate collusion i study repeated competition among oligopolists the only novelty is that firms may go bankrupt and permanently exit the probability that a firm survives a price war depends on its financial strength which varies stochastically over time under some conditions including no entry an anti folk theorem holds when firms are patient so that strength levels change relatively quickly every nash equilibrium involves an immediate price war that lasts until at most one firm remains surprisingly the possibility of entry may facilitate collusion as may impatience the model can explain some observed patterns of collusion and predation

bank branch presence and access to credit in low to moderate income neighborhoods banks specialize in lending to informationally opaque borrowers by collecting soft information about them some researchers claim that this process requires a physical presence in the market to lower information collection costs the author provides evidence in support of this argument in the mortgage market for low income borrowers mortgage originations increase and interest spreads decline when there is a bank branch located in a low to moderate income neighborhood

collusion and predation under almost free entry abstract this study investigates the degree of cooperation that firms can support in the absence of significant barriers to entry a free entry subgame perfect equilibrium is defined by q n where q is the collusive output rate and n is the number of active firms such that there is no incentive for an active firm to deviate output from q and there is no incentive for a potential entrant to enter the industry it is shown that for all n 1 if the discount factor is sufficiently high there exists a free entry equilibrium in which active firms sustain a non trivial degree of cooperation cooperation is supported by active firms credibly threatening to respond to entry with a period of aggressive competition

stock prices and volume the authors undertake a comprehensive investigation of price and volume co movement using daily new york stock exchange data from 1928 to 1987 they adjust the data to take into account well known calendar effects and long run trends to describe the process they use a seminonparametric estimate of the joint density of current price change and volume conditional on past price changes and volume four empirical regularities are found 1 positive correlation between conditional volatility and volume 2 large price movements are followed by high volume 3 conditioning on lagged volume substantially attenuates the leverage effect and 4 after conditioning on lagged volume there is a positive risk return relation article published by oxford university press on behalf of the society for financial studies in its journal the review of financial studies

a model of redlining abstract we develop a model of mortgage redlining which captures the dynamic information gathering which is implied by the use of appraisals in mortgage granting in our model the precision of appraisals depends on the quantity of previous home sales in turn the precision of appraisals influences current home sales since when appraisals are inaccurate lenders require larger down payments there is thus a dynamic information externality in which past purchases influence current purchases as a consequence differential mortgage lending behavior will be sub optimal and the appearance of redlining may be justifiably subject to corrective action

testing the continuous semimartingale hypothesis for the s p 500 large amounts of intraday data of the s p 500 stock index futures are used to test the hypothesis that the log return process corrected for drift is a continuous martingale we use the time change for martingales theorem to rephrase the hypothesis and test whether the return process corrected for drift is a time changed brownian motion this hypothesis cannot be rejected

racial discrimination and redlining in cities we propose a model where employers have two types of prejudices racial and spatial discriminations because of the rst one black workers have less chance than white workers to nd a job because of the second one workers living closer to the city center have less chances than suburban workers to nd a job in this context we show that depending on the importance of access costs to employment centers two urban equilibria may emerge in equilibrium 1 the access cost for blacks is quite large black and white workers are totally separated while in equilibrium 2 the access cost for blacks is relatively small workers are separated by their employment status the unemployed versus the employed we then study the labor market equilibrium and its interactions with the land market we show in particular that both race and space matter to explain high unemployment rates among blacks

private monitoring and communication in cartels explaining recent collusive practices motivated by recent cartel practices a stable collusive agreement is characterized when firms prices and quantities are private information conditions are derived whereby an equilibrium exists in which firms truthfully report their sales and then make transfers within the cartel based on these reports the properties of this equilibrium fit well with the cartel agreements used in a number of markets including citric acid lysine and vitamins

transactions volume and volatility we show that the positive volatility volume relation documented by numerous researchers actually reflects the positive relation between volatility and the number of transactions thus it is the occurrence of transactions per se and not their size that generates volatility trade size has no information beyond that contained in the frequency of transactions our results suggest that theoretical research needs to entertain scenarios in which 1 both the frequency and size of trades are endogenously determined yet 2 the size of trades has no information content beyond that contained in the number of transactions article published by oxford university press on behalf of the society for financial studies in its journal the review of financial studies

deducing the implications of jump models for the structure of stock market crashes rallies jump arrival rates and extremes this article studies the structure of stock market crashes rallies their jump arrival rates and extremes large market moves are characterized in a pure jump modeling framework based on both raw and devolatized returns it is shown empirically that crashes are more severe in intensity than rallies and have higher arrival rates at the same time both left tail and right tail extreme events conform with frechet limit laws pure jump models which describe well the tail properties of market returns are identified via their levy measures the distribution of extreme events implied by our model s levy measure is closer to the actual realization of extremes than those of competing models finally there is information content in the levy measure of pure jump models for forward arrival rate of jumps

rationalist explanations for war realist and other scholars commonly hold that rationally led states can and sometimes do fight when no peaceful bargains exist that both would prefer to war against this view i show that under very broad conditions there will exist negotiated settlements that genuinely rational states would mutually prefer to a risky and costly fight popular rationalist and realist explanations for war fail either to address or to explain adequately what would prevent leaders from locating a less costly bargain essentially just two mechanisms can resolve this puzzle on strictly rationalist terms the first turns on the fact that states have both private information about capabilities and resolve and the incentive to misrepresent it the second turns on the fact that in specific strategic contexts states may be unable credibly to commit to uphold a mutually preferable bargain historical examples suggest that both mechanisms are empirically plausible

a jump diffusion model for option pricing brownian motion and normal distribution have been widely used in the black scholes option pricing framework to model the return of assets however two puzzles emerge from many empirical investigations the leptokurtic feature that the return distribution of assets may have a higher peak and two asymmetric heavier tails than those of the normal distribution and an empirical phenomenon called volatility smile in option markets to incorporate both of them and to strike a balance between reality and tractability this paper proposes for the purpose of option pricing a double exponential jump diffusion model in particular the model is simple enough to produce analytical solutions for a variety of option pricing problems including call and put options interest rate derivatives and path dependent options equilibrium analysis and a psychological interpretation of the model are also presented

estimating quadratic variation using realized variance this paper looks at some recent work on estimating quadratic variation using realised variance rv that is sums of m squared returns this econometrics has been motivated by the advent of the common availability of high frequency financial return data when the underlying process is a semimartingale we recall the fundamental result that rv is a consistent as m estimator of quadratic variation qv we express concern that without additional assumptions it seems difficult to give any measure of uncertainty of the rv in this context the position dramatically changes when we work with a rather general sv model which is a special case of the semimartingale model then qv is integrated variance and we can derive the asymptotic distribution of the rv and its rate of convergence these results do not require us to specify a model for either the drift or volatility functions although we have to impose some weak regularity assumptions we illustrate the use of the limit theory on some exchange rate data and some stock data we show that even with large values of m the rv is sometimes a quite noisy estimator of integrated variance

collusion under financial constraints collusion or predation when the discount factor is near one abstract this paper considers the possibility of collusion between financially constrained firms it is found that they cannot collude when the discount factor is sufficiently close to one while collusion emerges at lower discount factors

the relation between price changes and trading volume a survey this paper reviews previous and current research on the relation between price changes and trading volume in financial markets and makes four contributions first two empiri cal relations are established volume is positively related to the magnitude of the price change and in equity markets to the price change per se second previous theoretical research on the price volume relation is summarized and critiqued and major insights are emphasized third a simple model ofthe price volume relation is proposed that is consis tent with several seemingly unrelated or contradictory observations and fourth several directions for future research are identified

predation and its rate of return the sugar industry 1887 1914 we show that the price wars following two major entry episodes were predatory our proof is twofold by direct comparison of price to marginal cost and by construction of a lower bound to predicted competitive price cost margins that we show to exceed observed margins predation occurred only when its relative cost to the dominant firm the american sugar refining company asrc was small its most clear effect was to lower the acquisition price of entrants and small incumbents it may also have deterred future capacity additions and raised asrc s share of industry profits predation operated by strengthening asrc s reputation as a willing predator

dampened power law reconciling the tail behavior of financial security returns this article proposes a stylized model that reconciles several seemingly conflicting findings on financial security returns and option prices the model is based on a pure jump levy process wherein the jump arrival rate obeys a power law dampened by an exponential function the model allows for different degrees of dampening for positive and negative jumps and also for different pricing for upside and downside market risks calibration of the model to the s p 500 index shows that the market charges only a moderate premium on upward index movements but the maximally allowable premium on downward index movements

an fft network for levy option pricing abstract this paper develops a simple network approach to american exotic option valuation under levy processes using the fast fourier transform fft the forward shooting grid fsg technique of the lattice approach is then generalized to expand the fft network to accommodate path dependent variables this network pricing approach is applicable to all levy processes for which the characteristic function is readily available in other words the log value of the underlying asset can follow finite activity or infinite activity levy processes with the powerful computation of fft the proposed network has a negligible additional computational burden compared to the binomial tree approach the early exercise policy and option values in the continuation region are determined in a way very similar to that of the lattice approach numerical examples using american style barrier lookback and asian options demonstrate that the fft network is accurate and efficient

credit card redlining abstract this paper evaluates the presence of racial disparities in the issuance of consumer credit using a database of credit histories i link location based information on race with individual credit files after controlling for place specific factors such as housing vacancy rates and general population demographics i find qualitatively large differences in the amount of credit offered to similarly qualified applicants living in black versus white areas high data quality allows distinguishing between issuer provision supply and utilization of credit demand additional estimates using information on payday lending provide support for idea that issuers condition lending on location

a signal jamming theory of predation we propose a new theory ofpredation based on signal jamming in our model the predator s characteristics are common knowledge while the entrant is uncertain of his own future profitability the entrant uses his current profit to decide whether to remain in the market and the predator preys to jam or interfere with this inference problem thus our model differs from those based on reputation effects in which the predator preys to signal information about himself

financially constrained entry in a game with incomplete information in an earlier paper we presented an entry game with a monopolist and a potential entrant facing financial constraints in which the unique perfect equilibrium involved no entry here we consider a one sided incomplete information variant of the game in which the monopolist allows for the possibility that the entrant is committed to endure a price war to the limit of his capability we find a unique sequentially perfect equilibrium in which entry sometimes occurs when it does predatory price wars may result with the incumbent sometimes driving out the entrant but other times eventually abandoning the fight

a general distribution for describing security price returns this paper introduces a generalized distribution called the gb2 distribution for describing security returns the distribution is extremely flexible containing a large number of well known distributions such as the lognormal log t and log cauchy distribu tions as special or limiting cases and allowing large even infinite higher moments this flexibility allows a direct representation of different degrees of fat tails in the distribution the properties of the gb2 make it useful in empirical estimation of security returns and in facilitating the development of option pricing models and other models that depend on the specification and mathematical manipulation of distributions copyright 1987 by the university of chicago

pricing catastrophe options with stochastic claim arrival intensity in claim time abstract we model claim arrival and loss uncertainties jointly in a doubly binomial framework to price an asian style catastrophe cat option with a non traded underlying loss index using the no arbitrage martingale pricing methodology we span these uncertainties by benchmarking to the shadow price of a one claim bond and the premium of a reinsurance contract we implement a stochastic time change from calendar time to claim time to more efficiently price the cat option as a random sum a binomial sum of claim time binomial asian option prices this choice of the operational time dimension allows us to incorporate different patterns of catastrophe arrivals by adjusting the claim arrival probability we demonstrate this versatility by incorporating a mean reverting ornstein uhlenbeck intensity arrival process simulation results verify our model predictions and demonstrate how the claim arrival probability varies with the expected claim arrival intensity

colluding on excluding abstract in an oligopoly characterized by barriers to re entry a finite horizon complete information convex costs and the presence of three identical firms i show that in subgame perfect equilibrium two of them the predators can choose to charge an initial price that is so low that the third the prey decides to exit immediately in this predatory pricing equilibrium the predators can enjoy higher profits than in the best collusive equilibrium with three firms thus a coalition of two firms can benefit from colluding on excluding

an empirical examination of the variance gamma model for foreign currency options we apply the variance gamma vg option pricing model to currency options the model is a pure infinite activity jump model we examine whether and to what extent this new model can improve the pricing quality for currency options over the existing modified black scholes model and the merton jump diffusion jd model we find that the vg model yields better out of sample pricing performance than the modified black scholes model or the jd model in addition a cross entropy analysis shows that the vg model is more consistent with the general criterion of utility maximization and optimal portfolio selection

a fully integrated liquidity and market risk model going beyond the simple bid ask spread overlay for a particular value at risk the author introduces an innovative framework that integrates liquidity risk funding risk and market risk he overlaid a whole distribution of liquidity uncertainty on future market risk scenarios and allowed the liquidity uncertainty to vary from one scenario to another depending on the liquidation or funding policy implemented the result is one easy to interpret easy to implement formula for the total liquidity plus market risk profit and loss distribution

pure jump levy processes for asset price modelling abstract the goal of the paper is to show that some types of levy processes such as the hyperbolic motion and the cgmy are particularly suitable for asset price modelling and option pricing we wish to review some fundamental mathematic properties of levy distributions such as the one of infinite divisibility and how they translate observed features of asset price returns we explain how these processes are related to brownian motion the central process in finance through stochastic time changes which can in turn be interpreted as a measure of the economic activity lastly we focus on two particular classes of pure jump levy processes the generalized hyperbolic model and the cgmy models and report on the goodness of fit obtained both on stock prices and option prices

a dynamic oligopoly with collusion and price wars we provide a collusive framework with heterogeneity among jirms investment entry and exit it is a symmetric information model in which it is hard to sustain collusion when there is an activejim that is likely to exit in the near future numerical analysis is used to compare a collusive to a noncollusive environment only the collusive industry generates price wars also the collusive industry offers both more and higherquality products to consumers albeit often at a higher price the positive effect of collusion on variety and quality more than compensates consumers for the negative effect of collusive prices so that consumer surplus is larger with collusion

intraday price change and trading volume relations in the stock and stock option markets this study investigates intraday relations between price changes and trading volume of options and stocks for a sample of firms whose options traded on the cboe during the first quarter of 1986 after purging the price change series of the effects of bid ask spreads multivariate time series analysis is used to estimate the lead lag relation between the price changes in the option and stock markets the results indicate that price changes in the stock market lead the option market by as much as fifteen minutes the analysis of trading volume indicates that the stock market lead may be even longer the intense trading activity in and in fact the very existence of organized stock option markets attest to the economic benefits that these financial contracts provide reduced transaction costs and increased financial leverage are two reasons why trading in the stock option market may be more attractive than trading in the market for the underlying stock in addition these cheaper and more flexible trading opportunities attract new and differently informed investors to the marketplace the resulting increase in trading activity together with the inextricable arbitrage linkage between stock and option prices imply an increase in market efficiency this study investigates empirically the intraday price change and trading volume relations between stocks and options for a sample of firms whose options were actively traded on the chicago board options exchange during the first quarter of 1986 in particular intraday call option price changes are translated into implied stock price changes using the american call option pricing model these intraday implied stock price changes are then compared with the actual stock price changes to identify which if either market leads the other in perfectly functioning capital markets there should be complete simultaneity between the series that is new information disseminating into the marketplace should be reflected in the prices and the trading activity of both securities simultaneously institutional factors however may make the stock option market more attractive to information traders this may cause price changes and trading activity due to new information to be observed in the option market first followed by price

preying for monopoly the case of southern bell telephone company 1894 1912 focusing on the southern bell telephone company we propose a modified version of the predation hypothesis to explain bell s natural monopoly over local telephone service southern bell effectively eliminated competition through a strategy of pricing below cost in response to entry which deprived competitors of the cash flow required for expansion even if it failed to induce exit investing in toll lines ahead of demand isolating independent companies in smaller towns and rural areas and forcing them to consolidate on favorable terms and influencing local regulatory policy in large cities to weaken rivals and ultimately to institutionalize the bell monopoly

the inefficient use of power costly conflict with complete information recent work across a wide range of issues in political economy as well as in american comparative and international politics tries to explain the inefficient use of power revolutions civil wars high levels of public debt international conflict and costly policy insulation in terms of commitment problems this paper shows that a common mechanism is at work in a number of these diverse studies this common mechanism provides a more general formulation of a type of commitment problem that can arise in many different substantive settings the present analysis then formalizes this mechanism as an inefficiency condition that ensures that all of the equilibria of a stochastic game are inefficient this condition has a natural substantive interpretation large rapid changes in the actors relative power measured in terms of their minmax payoffs may cause inefficiency

the role of information externalities and scale economies in home mortgage lending decisions abstract theories of rational redlining suggest a low volume of sales should lead to greater uncertainty in house price appraisals making the mortgage loan less attractive to lenders this paper represents the first test of this information externality theory using a well specified model of lending in our preferred model information externalities are relevant but the marginal effect diminishes quickly with only about 10 percent of applications materially disadvantaged by a low volume of sales our results also support the presence of bank level economies of scale to reviewing applications in a given area with increased bank level applications associated with higher acceptance rates

bridging the gap between the distribution of realized ecu volatility and arch modelling of the euro the garch nig model summary this paper bridges the gap between traditional arch modelling and recent advances on realized volatilities based on a ten year sample of five minute returns for the ecu basket currencies versus the us dollar we find that the realized volatilities constructed from the summation of the high frequency intraday squared returns conditional on the lagged squared daily returns are approximately inverse gaussian ig distributed while the distribution of the daily returns standardized by their realized volatilities is approximately normal moreover the implied daily garch model with normal inverse gaussian nig errors estimated for the ecu returns results in very accurate out of sample predictions for the three years of actual daily euro us dollar exchange rates copyright 2002 john wiley sons ltd