consistent modeling of s p 500 and vix derivatives abstract this study introduces a model that identifies relationships between stylized features on s p 500 vix and derivatives on vix the paper considers a specification with discontinuous correlated jumps in stock prices and stock price volatility with state dependent arrival intensity and examines how these factors impact vix option pricing and hedging the paper finds strong evidence for jumps in volatility and jumps in returns implicit in vix option data

option pricing when the variance changes randomly theory estimation and an application in this paper we examine the pricing of european call options on stocks that have vari ance rates that change randomly we study continuous time diffusion processes for the stock return and the standard deviation parameter and we find that one must use the stock and two options to form a riskless hedge the riskless hedge does not lead to a unique option pricing function because the random standard deviation is not a traded security one must appeal to an equilibrium asset pricing model to derive a unique option pricing function in general the option price depends on the risk premium associated with the random standard deviation we find that the problem can be simplified by assuming that volatility risk can be diversified away and that changes in volatility are uncorrelated with the stock return the resulting solution is an integral ofthe black scholes formula and the distribution function for the variance of the stock price we show that accurate option prices can be computed via monte carlo simulations and we apply the model to a set of actual prices

how much do rights matter summary do better political rights yield more economic development by addressing the econometric challenges plaguing this question we find support for a positive impact of rights on development for a significant grouping of countries the association is nonlinear the positive impact of rights is particularly strong at low rights levels it is either absent or negative in an intermediate rights range and returns to a moderate positive impact at high levels of rights there is also evidence to suggest that transitions from autocratic political dispensations are associated with significant negative output shocks

new financial instruments for hedge changes in volatility 1989 new financial instruments for hedge changes in volatility financial analysts journal vol 45 no 4 pp 61 65

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 attack and defense group contests best shot versus weakest link this study analyzes a group contest in which one group defenders follows a weakest link whereas the other group attackers follows a best shot impact function if we fully characterize the nash and coalition proof equilibria and show that with symmetric valuation the coalition proof equilibrium is unique up to the permutation of the identity of the active player in the attacker group with asymmetric valuation it is always an equilibrium for one of the highest valuation players to be active it may also be the case that the highest valuation players in the attacker group free ride completely on a group member with a lower valuation however in any equilibrium only one player in the attacker group is active whereas all the players in the defender group are active and exert the same effort we also characterize the nash and coalition proof equilibria for the case in which one group follows either a best shot or a weakest link but the other group follows an additive if jel c72 d70 d72 d74 h41

implied volatility functions empirical tests derman and kani 1994 dupire 1994 and rubinstein 1994 hypothesize that asset return volatility is a deterministic function of asset price and time and develop a deterministic volatility function dvf option valuation model that has the potential of fitting the observed cross section of option prices exactly using s p 500 options from june 1988 through december 1993 we examine the predictive and hedging performance of the dvf option valuation model and find it is no better than an ad hoc procedure that merely smooths black scholes 1973 implied volatilities across exercise prices and times to expiration

dyke maintenance and other stories some neglected types of public goods the orthodox summation model of a pure nonexcludable public good assumes that each individual consumes a quantity of public good defined as the sum of all individuals contributions to that good recently hirshleifer 1983 1985 has analyzed models that do not fall within this class at one extreme is the weakestlink in which the total quantity available to each consumer equals the smallest individual contribution at the other is the best shot in which the total quantity available equals the largest individual contribution hirshleifer s example of the weakest link case concerns a circular region of which each citizen owns a pie shaped slice the perimeter is marked by a dyke floods may penetrate the weakest point of the dyke and cause damage equally throughout the region each citizen decides the height and state of repair of that section of the dyke adjoining his piece of land its maintenance constituting his contribution to the public good thus the level of protection enjoyed by all is determined by the least well maintained section of the dyke an example of the best shot case concerns a number of antimissile batteries ringing a city firing at an incoming icbm all that matters is the accuracy of the best shot bliss and nalebuff 1984 discuss dragon slaying as another example of a best shot situation section ii of this paper introduces a class of functions of which the summation weakest link and best shot are examples section iii analyzes the properties of equilibrium when consumers have identical tastes and incomes section iv analyzes the implications of income redistribution in the summation case the equilibrium is unaffected by the initial redistribution over a range and outside that range transfers help the recipient and hurt the donor within the broader class of models however the invariance property does not generally hold and there may be opportunities for paretoimproving income redistribution i give an example similar to the weakest link case in which a pareto improving redistribution is

on jumps in common stock prices and their impact on call option pricing the black scholes call option pricing model exhibits systematic empirical biases the merton call option pricing model which explicitly admits jumps in the underlying security return process may potentially eliminate these biases we provide statistical evidence consistent with the existence of lognormally distributed jumps in a majority of the daily returns of a sample of nyse listed common stocks however we find no operationally significant differences between the black scholes and merton model prices of the call options written on the sampled common stocks

aid policies and growth reply in burnside and dollar 2000 we used standard regression techniques from the growth literature to measure the effect of foreign aid on growth the main finding in our paper was that the effect of foreign aid on growth depended on the macroeconomic policies of recipient countries in this issue william easterly et al 2004 challenge the robustness of our result to new data before commenting on their findings it is useful to review the basis of our original findings our paper focused on three versions of a panel growth regression estimated using data for 51 countries and six four year periods from 1970 to 1993 these regressions may be summarized as

dynamic and directional network connectedness of crude oil and currencies evidence from implied volatility abstract we explore the dynamic and directional network connectedness between implied volatility measures of crude oil and the exchange rate of nine major currency pairs for a sample period from may 2007 to december 2016 we use the dynamic cholesky factor vector autoregression variance decomposition method to ascertain the net directional spillovers and to determine the direction of the transmission of shocks we employed the network graph connectedness method across a few select events characterized by the crude oil price volatility of 2008 09 and 2014 16 we found that the crude oil market has a dominant impact on the total connectedness of the crude oil currency implied volatility relationship suggesting that crude oil affects currencies more than currencies affect crude oil for the time frame of 2007 16 however during the crude oil crisis periods the dynamics are reversed with crude having more of an effect additionally the pairwise directional network connectedness between the currency pairs reveals that eurusd is more sensitive to the crude price fluctuation than other major currency pairs and is one major currency that passes idiosyncratic shocks to other currency pairs

intergroup conflict and intra group punishment in an experimental contest game we study how conflict in a contest game is influenced by rival parties being groups and by group members being able to punish each other our main motivation stems from the analysis of socio political conflict the relevant theoretical prediction in our setting is that conflict expenditures are independent of group size and independent of whether punishment is available or not we find first that our results contradict the independence of groupsize prediction conflict expenditures of groups are substantially larger than those of individuals and both are substantially above equilibrium towards the end of the experiment material losses in groups are 257 of the predicted level there is however substantial heterogeneity in the investment behaviour of individual group members second allowing group members to punish each other after individual contributions to the contest effort are revealed leads to even larger conflict expenditures now material losses are 869 of the equilibrium level and there is much less heterogeneity in individual group members investments these results contrast strongly with those from public goods experiments where punishment enhances efficiency and leads to higher material payoffs

behavior in group contests a review of experimental research group contests are ubiquitous some examples include warfare between countries competition between political parties team incentives within firms group sports and rent seeking in order to succeed members of the same group have incentives to cooperate with each other by expending individual efforts however since effort is costly each member also has an incentive to abstain from expending any effort and instead free ride on the efforts of other members contest theory shows that the intensity of competition between groups and the amount of free riding within groups depend on the group size sharing rule group impact function contest success function and heterogeneity of players we review experimental studies testing these theoretical predictions almost all studies of behavior in group contests find significant over expenditure of effort relative to the theory we discuss potential explanations for such over expenditure including the utility of winning bounded rationality relative payoff maximization parochial altruism and social identity despite over expenditure most studies find support for the comparative statics predictions of the theory with the exception of the group size paradox finally studies show that there are effective mechanisms that can promote within group cooperation and conflict resolution mechanisms that can de escalate and potentially eliminate between group conflict

income and democracy evidence from system gmm estimates abstract does higher income cause democracy accounting for the dynamic nature and high persistence of income and democracy we find a statistically significant positive relation between income and democracy for a postwar period sample of up to 150 countries our results are robust across different measures of democracy and instrumentation strategies

jump and volatility risk premiums implied by vix abstract an estimation method is developed for extracting the latent stochastic volatility from vix a volatility index for the sp 2 the jump and volatility risks are priced 3 the popular square root stochastic volatility process is a poor model specification irrespective of allowing for price jumps or not our simulation study shows that statistical inference is reliable and not materially affected by the approximation used in the vix index construction

continuous time methods in finance a review and an assessment i survey and assess the development of continuous time methods in finance during the last 30 years the subperiod 1969 to 1980 saw a dizzying pace of development with seminal ideas in derivatives securities pricing term structure theory asset pricing and optimal consumption and portfolio choices during the period 1981 to 1999 the theory has been extended and modified to better explain empirical regularities in various subfields of finance this latter subperiod has seen significant progress in econometric theory computational and estimation methods to test and implement continuous time models capital market frictions and bargaining issues are being increasingly incorporated in continuous time theory the roots of modern continuous time methods in finance can be traced back to the seminal contributions of merton 1969 1971 1973b in the late 1960s and early 1970s merton 1969 pioneered the use of continuous time modeling in financial economics by formulating the intertemporal consumption and portfolio choice problem of an investor in a stochastic dynamic programming setting merton 1973b also showed how such a framework can be used to develop equilibrium asset pricing implications thereby significantly extending the asset pricing theory to richer dynamic settings and expanding the scope of applications of continuous time methods to study problems in financial economics 1 within a span of about 30 years from the publication of merton s inf luential papers continuous time methods have become an integral part of financial economics indeed in certain core areas in finance such as e g asset pricing derivatives valuation term structure theory and portfolio selection continuoustime methods have proved to be the most attractive way to conduct research and gain economic intuition the continuous time approach in these areas has produced models with a rich variety of testable implications the econometric theory for testing continuous time models has made rapid strides in the last decade and has thus kept pace with the impressive progress on the theoretical front one hopes that the actual empirical investigations and estimation using the new procedures will follow suit soon

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

pricing methods and hedging strategies for volatility derivatives abstract we explore the valuation and hedging of discretely observed volatility derivatives using three different models for the price of the underlying asset geometric brownian motion with constant volatility a local volatility surface and jump diffusion we begin by comparing the effects on valuation of variations in contract design such as the differences between specifying log returns or actual returns and incorporating caps on the level of realized volatility we then focus on the difficulties associated with hedging these products delta hedging strategies are ineffective for hedging volatility derivatives since they require very frequent rebalancing moreover they provide limited protection in the jump diffusion context we study the performance of a hedging strategy for volatility swaps that establishes small fixed positions in vanilla options at each volatility observation

the max min group contest weakest link group all pay auction we investigate a group all pay auction in which each group s effort is represented by the minimum among the effort levels exerted by the group members and the prize is a group specific public good we fully characterize the symmetric equilibria for two groups there are four types of equilibria the pure strategy equilibria in which all active players exert the same effort the semi pure strategy equilibria in which the players in a group play the same pure strategy whereas those in the other group play the same mixed strategy the nondegenerate mixed strategy equilibria with continuous support and the nondegenerate mixed strategy equilibria with discontinuous support we then analyze a general contest with n groups

causality cointegration and control abstract the first sections of the paper show that causality tests can be relevant when considering the effectiveness of a control mechanism rejecting some results in earlier papers the relevance comes from a more careful consideration of what information is available to whom and when compared to previous work the final section of the paper extends this analysis to cointegrated variables when causality is a necessary consequence

alternative collective goods models of military alliances theory and empirics i introduction in a seminal article mancur olson and richard zeckhauser 1966 characterized the north atlantic treaty organization nato in the mid 1960s as a group of allies who shared a pure public good in the form of deterrence to qualify as a pure public good a good s benefits must be nonexcludable i e available to all group members once provided and nonrival in consumption i e consumption opportunities associated with a unit of the good do not decline with the number of users pure public goods are characterized by free riding behavior owing to non excludability which permits individuals to partake in the benefits of the good without expending their own scarce resources olson and zeckhauser also demonstrated that a pure public good such as deterrence is associated with an exploitation hypothesis whereby the large agents allies shoulder the payment burdens of the small agents allies using data from 1964 olson and zeckhauser 1966 274 77 established that defense burdens are positively correlated with the economic size of the allies as measured by gross national product gnp over the next twenty five years a large literature has generalized and extended the olson and zeckhauser collective goods theory of alliances van ypersele de strihou 1967 recognized that defense expenditures could generate country specific private benefits e g disaster relief protection of colonies management of domestic unrest along with purely public deterrence with the presence of ally specific benefits the strength of the exploitation hypothesis is attenuated since a small ally might willingly shoulder a relatively large burden provided that this ally views its defense expenditures as possessing a large share of nation specific benefits in a series of articles murdoch sandler and others 1 formulated a joint product model in which the military activity of an ally yields pure public impure public and or private jointly produced outputs or benefits if the benefits derived from the allies military expenditures were from a single purely public good then the joint product model would obviously degenerate to the model of olson and zeckhauser 1966 murdoch and sandler 1984 sandler and forbes 1980 and sandler and murdoch 1990 have shown that the joint product model outperforms the pure public good deterrence model for nato during various time periods in recent years a number of important contributions to the collective good analysis of alliances have appeared these include the inclusion of foreign trade considerations wong 1991 marginal cost differentials among allies mcguire 1990 weber and wiesmeth 1991 leader follower behavior bruce 1990 and median voter considerations dudley and montmarquette 1981 murdoch sandler and hansen 1991 and okamura 1991 mcguire and groth 1985 engineered an econometric procedure for distinguishing between allocative processes e g non cooperative and cooperative within an alliance while subsequent work by sandler and murdoch 1990 operationalized this econometric procedure until now collective good models of alliances have computed alliancewide defense levels by simply summing the allies expenditures however the appropriate manner for aggregating defense efforts among allies may depend on geographical strategic and technological determinants for example the defense efforts of the weakest ally or link along a front may determine the strength of the allies defenses since the enemy s ability to penetrate behind the front hinges on the weakest fortification hirshleifer 1983 in consequence the minimal defense level of the allies and not the sum determines alliance capabilities the purpose of this paper is fivefold first we intend to look at different methods of aggregating allies military expenditures to determine alliancewide defense levels three procedures summation weakest link and best shot are examined

on equilibrium player ordering in dynamic team contests we study equilibrium player ordering in a dynamic all pay contest between two teams the contest lasts two periods and each team consists of two players who perform in different periods on behalf of their teams the team with the higher aggregate output wins the prize which is a public good to its players each team has one stronger player and one weaker player and the two teams can differ in their values of the prize the teams maximize their winning odds by strategically assigning their players to different periods we find that when the intrateam heterogeneity in player ability is not excessive the teams would allocate their stronger players to the late positions as the anchormen when both the intrateam ability gap and interteam heterogeneity in teams values become excessively large the team with high value always places its stronger player in the early position who will place a large bid to preempt late competition jel c7 d7 d8

garch vs stochastic volatility option pricing and risk management this paper examines the out of sample performance of two common extensions of the black scholes framework namely a garch and a stochastic volatility option pricing model the models are calibrated to intraday ftse 100 option prices we apply two sets of performance criteria namely out of sample valuation errors and value at risk oriented measures when we analyze the fit to observed prices garch clearly dominates both stochastic volatility and the benchmark black scholes model however the predictions of the market risk from hypothetical derivative positions show sizable errors the fit to the realized profits and losses is poor and there are no notable differences between the models overall we therefore observe that the more complex option pricing models can improve on the black scholes methodology only for the purpose of pricing but not for the value at risk forecasts author s abstract

private information group contests best shot competition abstract we model competing groups when players values for winning are private information each group s performance equals the best effort best shot of its members and the group with the best performance wins the contest at the symmetric equilibrium of symmetric contests increasing the number of competing teams may increase or decrease each team s performance but it unambiguously increases the overall expected best shot depending on the elasticity of the distribution of players values individual team and contest performance may increase or decrease with team size considering just two competing groups that differ only in size we show members of the smaller group use the more aggressive strategy but depending on the nature of uncertainty either team may be more likely to win more generally when teams value cdfs differ increasing one team s size decreases increases that team s chance of winning if its value cdf is elastic inelastic

aid policies and growth the authors of this paper use a new database on foreign aid to examine the relationships among foreign aid economic policies and growth of per capita gdp in panel growth regressions for 56 developing countries and 6 four year periods 1970 93 they find that the policies that have a great effect on growth are those related to fiscal surplus inflation and trade openness they construct an index for those three policies and have that index interact with foreign aid they have instruments for both aid and aid interacting with policies they find that aid has a positive impact on growth in developing countries with good fiscal monetary and trade policies in the presence of poor policies aid has no positive effect on growth this result is robust in a variety of specifications which include or exclude middle income countries include or exclude outliers and treat policies as exogenous or endogenous they examine the determinants of policy and find no evidence that aid has systematically affected policies either for good or for ill they estimate an aid allocation equation and show that any tendency for aid to reward good policies has been overwhelmed by donors pursuit of their own strategic interests in a counterfactual they reallocate aid reduce the role of donor interests and increasing the importance of policy such a reallocation would have a large positive effect on developing countries growth rates

avoidance screening and optimum enforcement a standard assumption in the economic literature on crime and punishment is that fines are costless transfers given this assumption several economists have argued that it is optimal to set the fine for engaging in a proscribed activity as high as possible the argument is a simple one raising the probability of a fine is costly since it requires devoting more resources to monitoring and apprehending individuals in contrast raising the magnitude of a fine is costless therefore the least costly way to achieve a given expected fine is to set the fine as high as possible presumably equal to the offender s wealth and adjust its probability so that the desired expected fine is obtained

the colonial origins of comparative development an empirical investigation comment abstract acemoglu johnson and robinson s 2001 seminal article argues property rights institutions powerfully affect national income using estimated mortality rates of early european settlers t

distributional conflict and jurisdictional organization abstract this paper explores the endogenous formation of jurisdictions assuming the political process is a costly fight to acquire shares of the gnp pie in such a setting the stability of a unified jurisdiction is not necessarily determined by the preferences of the richest member region we also show that a system of federalism is especially significant in ameliorating distributional competition and conflict less resources are spent in aggregate on appropriative activities under a hierarchical system of federalism than in a unified jurisdiction with a single central government

contests with group specific public goods and complementarities in efforts abstract this paper starts from the observation that in public goods group contests group impact can in general not be additively decomposed into some sum of functions of individual efforts we use a ces impact function to identify the main channels of influence of the elasticity of substitution on the behavior in and the outcome of such a contest we characterize the nash equilibria of this game and carry out comparative static exercises with respect to the elasticity of substitution among group members efforts if groups are homogeneous i e all group members have the same valuation and efficiency within the group the elasticity of substitution has no effect on the equilibrium for heterogeneous groups the higher the complementarity of efforts of that group the lower the divergence of efforts among group members and the lower the winning probability of that group this contradicts the common intuition that groups can improve their performance by solving the free rider problem via higher degrees of complementarity of efforts

option pricing when the variance is changing the monte carlo method is used to solve for the price of a call when the variance is changing stochastically

sentiment spillover effects for us and european companies abstract the fast growing literature on news analytics provides evidence that financial markets are partially driven by sentiments in contrast with previous studies that have almost exclusively focused on the direct effects of the news related to single companies or sectors we investigate the time varying dynamics of news cross industry influences for a set of us and european stocks over a period of 10 years the graphical granger causality of the news sentiments excess return networks is estimated by applying the adaptive lasso we find significant spillover effects and show the importance of sentiments related to certain sectors for the whole cross section of stocks

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

stock price volatility mean reverting diffusion and noise abstract using weekly call option prices on twenty five stocks over a ten year period 1975 1985 and calls on the s p 500 stock index futures we find that ex ante market volatility follows a mixed mean reverting diffusion with noise process changes in volatility are correlated across stocks and a marketwide volatility effect is found strong forces pull the volatility back to its long term value the findings suggest the development of new option pricing models

rent seeking for pure public goods in this paper we present a formal analysis of rent seeking for public goods by two or more groups with different numbers of individuals we begin by considering equally wealthy groups under risk neutrality a case which constitutes our basic model several surprising and interesting results emerge from the analysis of this basic case the problem is then extended to deal with a groups with different wealth levels and b risk aversion this last extension brings about a further crop of interesting and useful results

errors in implied volatility estimation estimating implied volatility by inverting the black scholes formula is subject to considerable error when option characteristics are observed with plausible errors especially for options away from the money large changes in volatility produce small changes in option prices conversely small errors in option prices and other option characteristics produce large errors in implied volatilities in the presence of small measurement errors unobserved truncation of option prices that violate lower bounds for absence of arbitrage can also lead to systematic volatility smiles the paper proposes feasible gls estimators that reduce the noise and bias in implied volatility estimates

an empirical comparison of continuous time models of implied volatility indices abstract we explore the ability of alternative popular continuous time diffusion and jump diffusion processes to capture the dynamics of implied volatility indices over time the performance of the various models is assessed under both econometric and financial metrics to this end data are employed from major european and american implied volatility indices and the rapidly growing cboe volatility futures market we find that the addition of jumps is necessary to capture the evolution of implied volatility indices under both metrics mean reversion is of second order importance though the results are consistent across the various metrics markets and construction methodologies

pure jump models for pricing and hedging vix derivatives abstract recent non parametric statistical analysis of high frequency vix data todorov and tauchen 2011 reveals that vix dynamics is a pure jump semimartingale with infinite jump activity and infinite variation to our best knowledge existing models in the literature for pricing and hedging vix derivatives do not have these features this paper fills this gap by developing a novel class of parsimonious pure jump models with such features for vix based on the additive time change technique proposed in li et al 2016a li et al 2016b we time change the 3 2 diffusion by a class of additive subordinators with infinite activity yielding pure jump markov semimartingales with infinite activity and infinite variation these processes have time and state dependent jumps that are mean reverting and are able to capture stylized features of vix our models take the initial term structure of vix futures as input and are analytically tractable for pricing vix futures and european options via eigenfunction expansions through calibration exercises we show that our model is able to achieve excellent fit for the vix implied volatility surface which typically exhibits very steep skews comparison to two other models in terms of calibration reveals that our model performs better both in sample and out of sample we explain the ability of our model to fit the volatility surface by evaluating the matching of moments implied from market vix option prices to hedge vix options we develop a dynamic strategy which minimizes instantaneous jump risk at each rebalancing time while controlling transaction cost its effectiveness is demonstrated through a simulation study on hedging bermudan style vix options

the persistence of volatility and stock market fluctuations this paper examines the potential influence of changing volatility in stock market prices on the level of stock market prices it demonstrates that volatility is only weakly serially correlated implying that shocks to volatility do not persist these shocks can therefore have only a small impact on stockmarket prices since changes in volatility affect expected required rates of return for relatively short intervals these findings lead us to be skeptical of recent claims that the stock market s poor performance during the 1970 s can be explained by volatility induced increases in risk premia this abstract was borrowed from another version of this item this abstract was borrowed from another version of this item this abstract was borrowed from another version of this item this abstract was borrowed from another version of this item this abstract was borrowed from another version of this item this abstract was borrowed from another version of this item this abstract was borrowed from another version of this item this abstract was borrowed from another version of this item this abstract was borrowed from another version of this item this abstract was borrowed from another version of this item this abstract was borrowed from another version of this item this abstract was borrowed from another version of this item this abstract was borrowed from another version of this item this abstract was borrowed from another version of this item this abstract was borrowed from another version of this item this abstract was borrowed from another version of this item this abstract was borrowed from another version of this item this abstract was borrowed from another version of this item

vix derivatives hedging and vol of vol risk we study the empirical hedging performance of alternative vix option pricing models recent advances in the literature find evidence of asymmetric volatility of volatility similar to the leverage effect in equity markets stochastic mean reversion and jumps using such findings in our model framework we show that while sophisticated models have superior pricing performance and can explain a range of stylized facts in the vix derivatives market their hedging performance is inferior to a simple black model hedge we also study the empirical performance of regime dependent hedge ratio adjustments commonly applied in equity markets

aid policies and growth comment in an extraordinarily influential paper craig burnside and david dollar 2000 p 847 find that aid has a positive impact on growth in developing countries with good fiscal monetary and trade policies but has little effect in the presence of poor policies this finding has enormous policy implications the burnside and dollar 2000 henceforth bd result provides a role and strategy for foreign aid if aid stimulates growth only in countries with good policies this suggests that 1 aid can promote economic growth and 2 it is crucial that foreign aid be distributed selectively to countries that have adopted sound policies international aid agencies public policy makers and the press quickly recognized the importance of the bd findings this paper reassesses the links between aid policy and growth using more data the bd data end in 1993 we reconstruct the bd database from original sources and thus 1 add additional countries and observations to the bd data set because new information has become available since they conducted their analyses and 2 extend the data through 1997 thus using the bd methodology we reexamine whether aid influences growth in the presence of good policies given our focus on retesting bd we do not summarize the vast pre bd literature on aid and growth we just note that there was a long and inconclusive literature that was hampered by limited data availability debates about the mechanisms through which aid would affect growth and disagreements over econometric specification see gustav f papanek 1972 robert cassen 1986 paul mosley et al 1987 peter boone 1994 1996 and henrik hansen and finn tarp s 2000 review since bd found that aid boosts growth in good policy environments there have been a number of other papers reacting to their results including paul collier and jan dehn 2001 carljohan dalgaard and hansen 2001 patrick guillaumont and lisa chauvet 2001 hansen and tarp 2001 robert lensink and howard white 2001 and collier and dollar 2002 these papers conduct useful variations and extensions some of which had already figured in the pre bd literature such as introducing additional control variables using nonlinear specifications etc some of these papers confirm the message that aid only works in a good policy environment while others drive out the aid policy interaction term with other variables this literature has the usual limitations of choosing a specification without clear guidance from theory which often means there are more plausible specifications than there are data points in the sample we differentiate our paper from these others by not deviating from the bd specification thus we do not test the robustness of the results to an unlimited number of variations but instead maintain the bd methodology this paper conducts a very simple robustness check by adding new data that were unavailable to bd thus we expand the sample used over their time period and extend the data from 1993 to 1997 easterly department of economics new york university 269 mercer street new york ny 10003 center for global development and national bureau of economic research e mail william easterly nyu edu levine department of finance carlson school of management university of minnesota 321 19th avenue south minneapolis mn 55455 and national bureau of economic research e mail rlevine csom umn edu roodman center for global development 1776 massachusetts avenue nw washington dc 20036 e mail droodman cgdev org we are grateful to craig burnside for supplying data and assisting in the reconstruction of previous results without holding him responsible in any way for the work in this paper thanks also to francis ng and prarthna dayal for generous assistance with updating the sachs warner openness variable and to three anonymous referees craig burnside and henrik hansen for helpful comments 1 see for instance the world bank 1994 2001 2002 the u k department for international development 2000 president george w bush s speech march 16 2002 the announcement by the white house on creating the millennium challenge corporation white house 2002 as well as a washington post editorial february 9 2002 a financial times column by alan beattie march 11 2002 and the economist march 16 2002

option values under stochastic volatility theory and empirical estimates abstract this paper numerically solves the call option valuation problem given a fairly general continuous stochastic process for return volatility statistical estimators for volatility process parameters are derived and parameter estimates are calculated for several individual stocks and indices the resulting estimated option values do not differ dramatically from black scholes values in most cases although there is some evidence that for longer maturity index options black scholes overvalues out of the money calls in relation to in the money calls

effort levels in contests the public good prize case abstract we examine the equilibrium individual players groups and total effort levels expended in a contest where groups compete with one another to win a group specific public good prize and the players choose their effort levels simultaneously and independently

group contests with internal conflict and power asymmetry we investigate simultaneous inter and intra group conflict in the shadow of within group power asymmetry and complementarity in members group conflict efforts a more symmetric group faces a higher degree of internal conflict and might expend more effort in external conflict when the group conflict effort technology is highly complementary depending on the degree of complementarity the stronger player s relative contribution to external conflict might be higher in a more asymmetric group and as a result it is possible for the weaker player to earn a higher payoff in the absence of any complementarity the rent dissipation is non monotonic with the within group power asymmetry

efficient estimation with panel data when instruments are predetermined an empirical comparison of moment condition estimators i examine the empirical performance of instrumental variables estimators with predetermined instruments in an application to life cycle labor supply under uncertainty the estimators studied are two stage least squares generalized method of moments gmm forward filter independently weighted gmm and split sample instrumental variables i compare the bias efficiency trade off for the estimators using bootstrap algorithms suggested by freedman and by brown and newey results indicate that the downward bias in gmm is quite severe as the number of moment conditions expands outweighing the gains in efficiency the forward filter estimator however has lower bias and is more efficient than two stage least squares

top guns may not fire best shot group contests with group specific public good prizes we analyze a group contest in which n groups compete to win a group specific public good prize group sizes can be different and any player may value the prize differently within and across groups players exert costly efforts simultaneously and independently only the highest effort the best shot within each group represents the group effort that determines the winning group we fully characterize the set of equilibria and show that in any equilibrium at most one player in each group exerts strictly positive effort there always exists an equilibrium in which only the highest value player in each active group exerts strictly positive effort however perverse equilibria may exist in which the highest value players completely free ride on others by exerting no effort we provide conditions under which the set of equilibria can be restricted and discuss contest design implications

valuing futures and options on volatility abstract this paper presents simple closed form expressions for volatility futures and option prices and examines their implications for the characteristics of these securities we show that the properties of these volatility derivatives are fundamentally different from those of conventional option and futures contracts this analysis also provides insights into the role that volatility derivatives may play in managing and hedging volatility risk in financial markets

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

the relation between forward prices and futures prices abstract this paper consolidates the results of some recent work on the relation between forward prices and futures prices it develops a number of propositions characterizing the two prices these propositions contain several testable implications about the difference between forward and futures prices many of the propositions show that equilibrium forward and futures prices are equal to the values of particular assets even though they are not in themselves asset prices the paper then illustrates these results in the context of two valuation models and discusses the effects of taxes and other institutional factors

the stochastic behaviour of market variance implied in the prices of index options the purpose of this paper is to examine the time series properties of volatilities and to consider various financial and real variables that may be correlated with innovations in expected volatility the measure used in this study is the black scholes volatility implied in weekly call option prices written on the spot price of the ftse index a u k market equity index first the authors determine if capital structure can explain the relation between changes in the volatility of equity and structure can explain the relation between changes in the volatility of equity and changes in the level of the index second they analyze whether innovations in the volatilities of prices of real variables could also explain changes in equity volatility including the volume of transactions in equities oil prices exchange rates nominal and real interest rates and inflation copyright 1991 by royal economic society

a remark on lin and chang s paper consistent modeling of s p 500 and vix derivatives abstract lin and chang 2009 lin and chang 2010 establish a vix futures and option pricing theory when modeling s p 500 index by using a stochastic volatility process with asset return and volatility jumps in this note we prove that lin and chang s formula is not an exact solution of their pricing equation more generally we show that the characteristic function of their pricing equation cannot be exponentially affine as proposed by them furthermore their formula cannot serve as a reasonable approximation using the heston 1993 model as a special case we demonstrate that lin and chang formula misprices vix futures and options in general and the error can become substantially large

bidding for a group specific public good prize abstract we examine the equilibrium effort levels of individual players and groups in a contest in which two groups compete with each other to win a group specific public good prize the players choose their effort levels simultaneously and independently and the winning group is determined by the selection rule of all pay auctions we first prove nonexistence of a pure strategy nash equilibrium and then construct a mixed strategy nash equilibrium at the nash equilibrium the only active player in each group is a player whose valuation for the prize is the highest in that group all the other players expend zero effort and the equilibrium effort levels depend solely on two values the highest valuation for the prize in each group

income and democracy existing studies establish a strong cross country correlation between income and democracy but do not control for factors that simultaneously affect both variables we show that controlling for such factors by including country fixed effects removes the statistical association between income per capita and vari ous measures of democracy we present instrumental variables estimates that also show no causal effect of income on democracy the cross country corre lation between income and democracy reflects a positive correlation between changes in income and democracy over the past 500 years this pattern is con sistent with the idea that societies embarked on divergent political economic development paths at certain critical junctures jel d7 e 1

vix option pricing and cboe vix term structure a new methodology for volatility derivatives valuation abstract this study integrates cboe vix term structure and vix futures to simplify vix option pricing in multifactor models exponential and hump volatility functions with one to three factor models of the vix evolution are used to examine their pricing for vix options across strikes and maturities the results show that using exponential volatility functions presents an effective choice as pricing models for vix calls whereas hump volatility functions provide efficient out of sample valuation for most vix puts in particular with deep in the money and deep out of the money pricing errors for calls can be further reduced with a two factor model

communication and efficiency in competitive coordination games costless pre play communication has been found to effectively facilitate coordination and enhance efficiency in games with pareto ranked equilibria we report an experiment in which two groups compete in a weakest link contest by expending costly efforts allowing intra group communication leads to more aggressive competition and greater coordination than control treatments without any communication on the other hand allowing inter group communication leads to less destructive competition as a result intra group communication decreases while inter group communication increases payoffs our experiment thus provides an example of an environment where communication can either enhance or damage efficiency this contrasts sharply with experimental findings from public goods and other coordination games where communication always enhances efficiency and often leads to socially optimal outcomes

hedging volatility risk abstract volatility risk plays an important role in the management of portfolios of derivative assets as well as portfolios of basic assets this risk is currently managed by volatility swaps or futures however this risk could be managed more efficiently using options on volatility that were proposed in the past but were never introduced mainly due to the lack of a cost efficient tradable underlying asset the objective of this paper is to introduce a new volatility instrument an option on a straddle which can be used to hedge volatility risk the design and valuation of such an instrument are the basic ingredients of a successful financial product in order to value these options we combine the approaches of compound options and stochastic volatility our numerical results show that the straddle option is a powerful instrument to hedge volatility risk an additional benefit of such an innovation is that it will provide a direct estimate of the market price for volatility risk