settlement tax and non synchronous effects in the basis of u k stock index futures abstract the basis in stock index futures markets is analytically and empirically studied in this paper within a no arbitrage cost of carry framework explanatory power improved when the implications of the u k stock exchange settlement system were introduced into the modelling process and until recently with the maturity of the market evidence indicating the presence of non synchronicities between the cash and futures markets was found strong evidence for tax effects upon the basis was not found to be present in the data analysed statistically significant relationships between basis mispricing and volume and volatility were found

financial futures hedging via goal programming this paper presents multiperiod multiple objective goal programming as an alternative to the more conventional hedge ratio approaches to financial futures hedging the described model offers the potential benefits of i simultaneous achievement of multiple hedge related objectives i e minimization of transactions and margin opportunity costs regulation of cash flow and maximization of profits accruing from both the cash and futures positions and ii periodic modification and updating of the futures position as suggested by actual observed prices and interest rates throughout the hedging period to assess its overall effectiveness the model was applied to develop appropriate hedging strategies for three separate time periods each representing a unique interest rate trend i e upward movement downward movement and no change since real world implementation of the model requires the use of forecast data independent forecasts of both cash and futures prices were generated via 1 moving average 2 exponential smoothing and 3 random walk techniques in progressing through each of the 13 week time periods all forecasts were updated with the previous weeks actual price data revised forecasts and actual price data were then incorporated into the model constraints on a weekly schedule this approach in essence provided weekly futures activity recommendations based on the most recent price and interest rate developments observed at any point during the hedging period the realized gains or losses were then compared to the previously derived perfect foresight model results and to the traditional hedge ratio results this allowed for evaluation of the model s effectiveness under varying forecast methods and varying interest rate trends the results show that the goal programming model outperformed other strategies in most cases

what type of process underlies options a simple robust test we develop a simple robust method to distinguish the presence of continuous and discontinuous components in the price of an asset underlying options our method examines the prices of at the money and out of the money options as the option s time to maturity approaches zero we show that these prices converge to zero at speeds that depend upon whether the underlying asset price process is purely continuous purely discontinuous or a combination of both we apply the method to s p 500 index options and nd the existence of both a continuous component and a jump component in the index to effectively price or hedge derivative securities or to understand the behavior of nancial asset prices in general it is important to know if they are best modeled using a purely continuous process pc a pure jump process pj or a combination of both cj we develop a method to distinguish between these possibilities using options written on the asset in question speci cally we examine the market prices of at the money atm and out of the money otm options as the option s maturity date approaches the valuation date while the prices of all atm and otm options converge to zero as the time to maturity approaches zero our theoretical work shows that the speed of convergence diiers across the three possibilities pc pj or cj we can thus identify the type of an asset price process by examining the convergence speeds of these option prices the simplest approach for determining the type of process governing an asset price is to examine the time series of asset prices directly however the discretely sampled paths from the three types of processes look very similar unless the sampling frequency is extremely high furthermore increasing the sampling frequency introduces market microstructure eiects since our method does not examine the sample path of the underlying asset directly it circumvents these di culties our method is able to distinguish the type of process governing the price of an asset because diierent types of processes have dramatically diierent implications

taxing capital not a bad idea after all we quantitatively characterize the optimal capital and labor income tax in an overlapping generations model with idiosyncratic uninsurable income shocks and permanent productivity difierences of households the optimal capital income tax rate is signiflcantly positive at 36 percent the optimal progressive labor income tax is roughly a at tax of 23 percent with a deduction of 7 200 relative to average household income of 42 000 the high optimal capital income tax is mainly driven by the life cycle structure of the model whereas the optimal progressivity of the labor income tax is attributable to the insurance and redistribution role of the tax system jel e62 h21 h24

stochastic convenience yield and the pricing of oil contingent claims this paper develops and empirically tests a two factor model for pricing financial and real assets contingent on the price of oil the factors are the spot price of oil and the instantaneous convenience yield the parameters of the model are estimated using weekly oil futures contract prices from january 1984 to november 1988 and the model s performance is assessed out of sample by valuing futures contracts over the period november 1988 to may 1989 finally the model is applied to determine the present values of one barrel of oil deliverable in one to ten years time

the skew risk premium in the equity index market we develop a new method for measuring moment risk premiums we find that the skew premium accounts for over 40 of the slope in the implied volatility curve in the s p 500 market skew risk is tightly related to variance risk in the sense that strategies designed to capture the one and hedge out exposure to the other earn an insignificant risk premium this provides a new testable restriction for asset pricing models trying to capture in particular disaster risk premiums we base our results on a general trading strategy by replicating contracts that swap implied for realized conditional asset moments

the effect of market segmentation with demand leakage between market segments on a firm s price and inventory decisions abstract in this paper we address the simultaneous determination of price and inventory replenishment in a newsvendor setting when the firm faces demand from two or more market segments in which the firm can set different prices we allow for demand leakage from higher priced segments to lower priced segments and assume that unsatisfied demand can be backlogged we examine the case where the demands occur concurrently without priority and are met from a single inventory we consider customer s buy down behavior explicitly by modeling demand leakage as a function of segment price differentiation and characterize the structure of optimal inventory and pricing policies

the recovery theorem we can only estimate the distribution of stock returns but from option prices we observe the distribution of state prices state prices are the product of risk aversion the pricing kernel and the natural probability distribution the recovery theorem enables us to separate these to determine the market s forecast of returns and risk aversion from state prices alone among other things this allows us to recover the pricing kernel market risk premium and probability of a catastrophe and to construct model free tests of the efficient market hypothesis

cyclical dynamics in idiosyncratic labor market risk is individual labor income more risky in recessions this is a difficult question to answer because existing panel data sets are so short to address this problem we develop a generalized method of moments estimator that conditions on the macroeconomic history that each member of the panel has experienced variation in the cross sectional variance between households with differing macroeconomic histories allows us to incorporate business cycle information dating back to 1930 even though our data do not begin until 1968 we implement this estimator using household level labor earnings data from the panel study of income dynamics we estimate that idiosyncratic risk is i highly persistent with an annual autocorrelation coefficient of 0 95 and ii strongly countercyclical with a conditional standard deviation that increases by 75 percent from 0 12 to 0 21 as the macroeconomy moves from peak to trough

using elasticities to derive optimal income tax rates this paper derives optimal income tax formulas using compensated and uncompensated elasticities of earnings with respect to tax rates a simple formula for the high income optimal tax rate is obtained as a function of these elasticities and the thickness of the top tail of the income distribution in the general non linear income tax problem this method using elasticities shows precisely how the different economic effects come into play and which are the key relevant parameters in the optimal income tax formulas of mirrlees the optimal non linear tax rate formulas are expressed in terms of elasticities and the shape of the income distribution these formulas are implemented numerically using empirical earning distributions and a range of realistic elasticity parameters

u s treasury bill forward and futures prices for the period 1976 87 forward rates on u s t bills averaged more than 30 basis points above the comparable futures market rates since risk is common to both rates i argue that this difference can be explained by the substitutability of different maturity t bills for money consistent with this hypothesis i find that this difference depends positively on interest rates and the spread between the federal funds and 3 month t bill rates and negatively on the ratio of short term governments to broadly defined money also significant shifts occurred in the relationship in october 1979 and august 1982 coinciding with changes in federal reserve operating procedures copyright 1994 by ohio state university press

a recursive formulation for repeated agency with history dependence abstract we present general recursive methods to handle environments where privately observed variables are linked over time we show that incentive compatible contracts are implemented recursively with a threat keeping constraint in addition to the usual temporary incentive compatibility and promise keeping conditions journal of economic literature classification numbers d30 d31 d80 d82

designing optimal disability insurance a case for asset testing we analyze an implementation of an optimal disability insurance system as a competitive equilibrium with taxes an optimum is implemented by an asset tested disability system in which a disability transfer is paid only if an agent has assets below a specified maximum the logic behind this result is that an agent who plans to falsely claim disability a finds doing so unattractive if he does not adjust his savings and b cannot collect disability insurance if he does adjust his savings in the desired direction upward for a calibrated economy we find that welfare gains from asset testing are significant

redistribution and social insurance we study optimal redistribution and insurance in a life cycle economy with private idiosyncratic shocks we characterize pareto optima show the forces determining optimal labor distortions and derive closed form expressions for their limiting behavior the labor distortions for high productivity shocks are determined by the labor elasticity and the higher moments of the shock process the labor distortions for low productivity shocks are determined by the autocorrelation of the shock process redistributive objectives and past distortions in a model calibrated using newly available estimates of idiosyncratic shocks the labor distortions are u shaped and the savings distortions generally increase in current earnings jel d82 d91 h21 h23 i38 j22 j24

soybean inventory and forward curve dynamics we present two results concerning soybean prices first we exhibit a simple relationship between stocks and price volatility the observation of an increasing price volatility with decreasing inventory is often mentioned in the literature but has so far been documented using a proxy for inventory see fama and french 1987 1988 litzenberger and rabinowitz 1995 instead we reconstruct a yearly quarterly and monthly database of worldwide soybean inventories using aggregate data from the united states brazil and argentina we show that under all time scales price volatility is an increasing linear function of inverse inventory which we term scarcity second we show how the addition of the factor scarcity in a state variable approach to the dynamics of the term structure of soybean forward prices improves the quality of the fit we document this property on a 25 year database of cbot futures contracts and show that the superior accuracy also affects long maturity futures contracts an important property for the valuation of long term origination contracts between producing countries and the agrifood industry

the surprising power of age dependent taxes this paper provides a new empirically driven application of the dynamic mirrleesian framework by studying a feasible and potentially powerful tax reform age dependent labour income taxation i show analytically how age dependence improves policy on both the intratemporal and intertemporal margins i use detailed numerical simulations calibrated with data from the u s panel study of income dynamics to generate robust policy implications age dependence 1 lowers marginal taxes on average and especially on high income young workers and 2 lowers average taxes on all young workers relative to older workers when private saving and borrowing are restricted finally i calculate and characterize the welfare gains from age dependence despite its simplicity age dependence generates a welfare gain equal to between 0 6 and 1 5 of aggregate annual consumption and it captures more than 60 of the gain from reform to the dynamic optimal policy the gains are due to substantial increases in both efficiency and equity when age dependence is restricted to be pareto improving the welfare gain is nearly as large

third degree price discrimination with interdependent demands this paper analyzes the price output and welfare effects of third degree price discrimination for a monopolist who sells in two interdependent markets the case where the two goods sold by the monopolist are complements is analyzed as well as the more typical case where the two goods are substitutes the economic effects of price discrimination are shown to depend on the type and strength of demand interdependence the curvature of the demands and the slope of marginal cost the circumstances under which price discrimination causes both market prices to either rise or fall are also analyzed

how should capital be taxed this survey discusses how capital should be taxed in advanced economies we review the theoretical optimal tax literature survey empirical studies on the distribution of capital and the distortion

insurance and taxation over the life cycle we consider a dynamic mirrlees economy in a life cycle context and study the optimal insurance arrangement individual productivity evolves as a markov process and is private information we use a first order approach in discrete and continuous time and obtain novel theoretical and numerical results our main contribution is a formula describing the dynamics for the labour income tax rate when productivity is an ar 1 our formula resembles an ar 1 with a trend where i the auto regressive coefficient equals that of productivity ii the trend term equals the covariance productivity with consumption growth divided by the frisch elasticity of labour and iii the innovations in the tax rate are the negative of consumption growth the last property implies a form of short run regressivity our simulations illustrate these results and deliver some novel insights the average labour tax rises from 0 to 37 over 40 years whereas the average tax on savings falls from 12 to 0 at retirement we compare the second best solution to simple history independent tax systems calibrated to mimic these average tax rates we find that age dependent taxes capture a sizable fraction of the welfare gains in this way our theoretical results provide insights into simple tax systems copyright 2013 oxford university press

efficient allocations in dynamic private information economies with persistent shocks a first order approach this article studies efficient allocations in a dynamic private information economy with a continuum of idiosyncratic shocks that are persistent i develop a first order approach for this environment and show that the problem has a simple recursive structure that relies on only a small number of state variables making the problem tractable i find sufficient conditions that guarantee that the first order approach is valid to illustrate the first order approach i numerically compute the efficient allocations in a mirrleesean economy with productivity shocks that follow a random walk and verify the validity of the first order approach i show that persistent shocks create a new trade off where the social planner decreases the informational rent of the agent today at the cost of providing higher insurance in the future copyright 2013 oxford university press

an empirical analysis of implicit delivery options in the treasury bond futures contract abstract assuming perfect frictionless and efficient markets this paper develops a framework to estimate the composite value of the quality wild card and end of month options implicit in the t bond futures contract the value of delivery options is shown to be the excess of forward price of the cheapest bond over its conversion factor times the exercise price of futures contract empirical results indicate that the option values over the last quarter of the nearby contract are on average less than 0 5 percent of the mean futures price which is substantially lower than the value reported by previous studies further scrutiny reveals that although the empirical estimates are contaminated by non synchronous bond data they are consistent with certain known theoretical properties of option values

exact solutions for futures and european futures options on pure discount bonds this paper provides closed form solutions for futures and european futures options on pure discount bonds under the ornstein uhlenbeck normal process a significant difference between black s model 1976 and the model in this paper for futures options is discussed

consumption inequality and family labor supply we examine the link between wage and consumption inequality using a life cycle model incorporating consumption and family labor supply decisions we derive analytical expressions for the dynamics of consumption hours and earnings of two earners in the presence of correlated wage shocks nonseparability progressive taxation and asset accumulation the model is estimated using panel data for hours earnings assets and consumption we focus on family labor supply as an insurance mechanism and find strong evidence of smoothing of permanent wage shocks once family labor supply assets and taxes are properly accounted for there is little evidence of additional insurance jel d12 d14 d91 j22 j31

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

education and optimal dynamic taxation the role of income contingent student loans we study the optimal design of integrated education finance and tax systems the distribution of wages is endogenously determined by the costly education decisions of heterogeneous individuals before labor market entry consistent with empirical evidence this human capital investment decision is risky we find that an integrated education and tax system in which the government provides education loans to young individuals coupled with income contingent repayment can always be designed in a pareto optimal way we present a simple empirically driven application of the framework to us data in which individuals make a college entry decision we find the optimal repayment schemes for college loans can be well approximated by a schedule that is linearly increasing in income up to a threshold and constant afterwards so although the full optimum could lead to complicated non linear schedules in theory very simple instruments can replicate it fairly well the welfare gains from income contingent repayment are significant

testing the martingale hypothesis in deutsche mark futures with models specifying the form of heteroscedasticity summary we examine the form of heteroscedasticity in deutsche mark futures price data and compare different specifications of the particular way that the variance is changing over time the martingale hypothesis is tested with daily and weekly rates of change of futures prices for the deutsche mark and some evidence is found against this hypothesis in analyses of daily data from 1981 to 1985 this rejection of the martingale hypothesis may be attributed to trading day effects in foreign currency prices and the resulting day of the week patterns in futures prices when the martingale hypothesis is tested with weekly data the null hypothesis is retained

a continuous time equilibrium model of forward prices and futures prices in a multigood economy abstract this paper is a theoretical investigation of equilibrium forward and futures prices we construct a rational expectations model in continuous time of a multigood identical consumer economy with constant stochastic returns to scale production using this model we find three main results first we find formulas for equilibrium forward futures discount bond commodity bond and commodity option prices second we show that a futures price is actually a forward price for the delivery of a random number of units of a good the random number is the return earned from continuous reinvestment in instantaneously riskless bonds until maturity of the futures contract third we find and interpret conditions under which normal backwardation or contango is found in forward or futures prices these conditions reflect the usefulness of forward and futures contracts as consumption hedges

quality and price personalization under customer recognition a dynamic monopoly model with contrasting equilibria abstract we present a model of market hyper segmentation where a monopolist acquires within a short time all information about the preferences of consumers who purchase its vertically differentiated products the firm offers a new price quality schedule after each commitment period lower consumer types may have an incentive to delay their purchases until next period to obtain a better introductory offer the monopolist counters this incentive by offering higher informational rents considering the dynamic game played by the monopolist and its customers we find that there is always a markov perfect equilibrium mpe in which the firm immediately sells the good to all customers offering the mussa rosen static equilibrium schedule to first time customers and getting full commitment profits however if the commitment period between two offers is long enough there is another mpe with gradual market expansion contrary to the coasian result for a durable good monopoly we find that in both equilibria the profit of the monopolist increases and the aggregate consumers surplus decreases as the interval of commitment shrinks the model yields policy implications for regulations on collection and storage of customers information

green expectations current effects of anticipated carbon pricing i report evidence that an anticipated strengthening of environmental policy increased emissions i find that the breakdown of the u s senate s 2010 climate effort generated positive excess returns

nonseparable preferences and optimal social security systems abstract in this paper we consider economies in which agents are privately informed about their skills which evolve stochastically over time we require agents preferences to be weakly separable between the lifetime paths of consumption and labor however we allow for intertemporal nonseparabilities in preferences like habit formation in this environment we derive a generalized version of the inverse euler equation and use it to show that intertemporal wedges characterizing optimal allocations of consumption can be strictly negative we also show that preference nonseparabilities imply that optimal differentiable asset income taxes are necessarily retrospective in nature we show that under weak conditions it is possible to implement a socially optimal allocation using a social security system in which taxes on wealth are linear and taxes transfers are history dependent only at retirement the average asset income tax in this system is zero

testing the heath jarrow morton ho lee model of interest rate contingent claims pricing this paper presents empirical tests of the constant volatility version of the heath jarrow and morton model which is also the continuous time limit of the ho and lee model using a generalized method of moments gmm test on three years of daily data for eurodollar futures and futures options the model can be rejected for most subperiods various biases in the fitted option prices relative to the market prices are documented through a regression study the small sample properties and power of the gmm framework to this setting are also studied through simulations

pricing foreign currency options under stochastic interest rates abstract in this paper we build a general framework to price contingent claims on foreign currencies using the heath et al 1987 model of the term structure closed form solutions are obtained for european options on currencies and currency futures assuming that the volatility functions determining the term structure are deterministic as such this paper provides an example of a bond price process for both the domestic and foreign economies consistent with grabbe s 1983 formulation of the same problem

on the taxation of durable goods this paper proposes a mirrleesian theory of commodity taxation in the presence of durable goods nondurable goods should be taxed uniformly provided that the preferences over nondurable consumption are weakly separable from labor effort a uniform taxation across all goods is optimal if the utility from durable consumption is linear and the preferences are additively separable between durable goods nondurable goods and labor effort if those conditions are not met wealth effects and substitution effects justify the use of differential commodity taxes to characterize the sign of the tax differential the paper exploits a substitution euler equation that links the marginal rate of substitution between durable and nondurable consumption across time finally an application of this theory suggests that housing investment should face higher tax rates than nondurable consumption

a recovery that we can trust deducing and testing the restrictions of the recovery theorem how reliable is the recovery theorem of ross 2015 we explore this question in the context of options on the 30 year treasury bond futures allowing us to deduce restrictions that link the physical and risk neutral return distributions our empirical results undermine the implications of the recovery theorem first we reject an implicit assumption of the recovery theorem that the martingale component of the stochastic discount factor is identical to unity second we consider the restrictions between the physical and risk neutral return moments when the recovery theorem holds and reject them in both forecasting regressions and generalized method of moments estimations received november 7 2016 editorial decision july 24 2017 by editor stijn van nieuwerburgh authors have furnished an internet appendix which is available on the oxford university press web site next to the link to the final published paper online

forward contracts and futures contracts abstract this paper provides a detailed discussion of the similarities and differences between forward contracts and futures contracts under frictionless markets and continuous trading simple arbitrage arguments are invoked to value forward contracts to relate forward prices and spot prices and to relate forward prices and futures prices we also argue that forward prices need not equal futures prices unless default free interest rates are deterministic

exploiting the conditional density in estimating the term structure an application to the cox ingersoll and ross model we propose an empirical method that utilizes the conditional density of the state variables to estimate and test a term structure model with known price formulae using data on both discount and coupon bonds the method is applied to an extension of a two factor model due to cox ingersoll and ross 1985 cir our results show that estimates based on only bills imply unreasonably large price errors for longer maturities we reject the original cir model using a likelihood ratio test and conclude that the extended cir model also fails to provide a good description of the treasury market

machines buildings and optimal dynamic taxes abstract the effective taxes on capital returns differ depending on capital type in the u s tax code this paper uncovers a novel reason for the optimality of differential capital taxation we set up a model with two types of capital equipments and structures and equipment skill complementarity under a plausible assumption we show that it is optimal to tax equipments at a higher rate than structures in a calibrated model the optimal tax differential rises from 27 to 40 percentage points over the transition to the new steady state the welfare gains of optimal differential capital taxation can be as high as 0 4 of lifetime consumption

stock index futures arbitrage in finland theory and evidence in a new market abstract this paper examines the pricing of stock index futures contracts on the new finnish market the striking feature of the finnish market is that there is no institutional framework for short selling of stocks this has been suggested to be the most important reason for the underpricing futures contracts persistent mispricing would however imply that also early and delayed unwindings have value which increases the arbitrage profits several rollover profits are reported in this study this suggest that current stock owners have not yet begun trading on the finnish futures market on a large scale

profitable pricing when market segments overlap in this paper we analyze profitable pricing strategies when market segments overlap overlapping markets are segments that are not perfectly sealed and leakage between them can occur different consumers are assumed to incur possibly different transaction costs if they choose to purchase in the low price market a monopolist seller knows the distribution of transaction costs across consumers and must choose an optimal pricing strategy in particular the monopolist must decide whether to charge a single price or to price differentiate conditions are derived under which price differentiation will be the most profitable strategy when price differentiation is optimal the equilibrium amount of leakage is determined endogenously unlike the standard economics textbook model of price discrimination in which zero leakage is determined exogenously and is usually given as a necessary condition for price discrimination we show that zero leakage is not necessary for differential pricing to be optimal and that

innovations new market instruments any measure of the volume of financial innovation would register an explosion in the last ten years for example the swap market has grown from zero to hundreds of billions of dollars in this period the number of traded financial futures contracts has increased from a handful to nearly one hundred the explosion is one of both scale and variety even the british government now issues gilts with non standard coupon rates and conversion features apparently tailored to a whole range of specialised clienteles

tails fears and risk premia we show that the compensation for rare events accounts for a large fraction of the average equity and variance risk premia exploiting the special structure of the jump tails and the pricing thereof we identify and estimate a new investor fears index the index reveals large time varying compensation for fears of disasters our empirical investigations involve new extreme value theory approximations and high frequency intraday data for estimating the expected jump tails under the statistical probability measure and short maturity out of the money options and new model free implied variation measures for estimating the corresponding risk neutral expectations

taxing top earners a human capital perspective we assess the consequences of substantially increasing the marginal tax rate on u s top earners using a human capital model we nd that 1 the peak of the model laer curve occurs at a 52 percent top tax rate 2 if human capital were exogenous then the top of the laer curve would occur at a 66 percent top tax rate and 3 applying the theory and methods that diamond and saez 2011 use to provide quantitative guidance for setting the top tax rate to model data produces a tax rate that substantially exceeds 52 percent

dynamic optimal taxation with private information we study dynamic optimal taxation in a class of economies with private information optimal allocations in these environments are complicated and history dependent yet we show that they can be implemented as competitive equilibria in market economies supplemented with simple tax systems the market structure in these economies is similar to that in bewley 1986 agents supply labour and trade risk free claims to future consumption subject to a budget constraint and a debt limit optimal taxes are conditioned only on two observable characteristics an agent s accumulated stock of claims or wealth and her current labour income we show that optimal taxes are generally non linear and non separable in these variables and relate the structure of marginal wealth and income taxation to the properties of agent preferences this paper studies optimal taxation in a class of dynamic economies with private information we consider an environment in which agents preferences are defined over consumption and labour and each agent receives a privately observed sequence of i i d preference shocks incentivecompatibility constraints stemming from private information imply that socially optimal or constrained efficient allocations in this environment are complicated and history dependent yet we show that they can be implemented as competitive equilibria in market economies supplemented with simple tax systems the market structure in these economies is identical to that in bewley 1986 huggett 1993 or aiyagari 1994 agents can trade current consumption for claims to future consumption subject to a budget constraint and a borrowing limit these claims have a non contingent pre tax return crucially taxes are conditioned upon only two observable characteristics of an agent current wealth given by the agent s accumulated stock of claims and current labour income they do not depend on any other aspect of an agent s past history most models of dynamic optimal taxation follow the ramsey approach in which the set of fiscal instruments available to the government is exogenously specified 1 linear labour and capital income taxes are typically included in this set while lump sum taxes are ruled out the exclusion of the latter is justified by appealing to incentive or administrative constraints but these are not explicitly modelled these exogenous restrictions on fiscal instruments represent frictions that the government seeks to ameliorate through its optimal choice of tax rates the approach we adopt in this paper builds on the optimal taxation literature initiated by mirrlees 1971 mirrlees assumes that agents receive privately observed shocks to their

optimal indirect and capital taxation we consider an environment in which agents skills are private information and follow arbitrary stochastic processes we prove that it is typically pareto optimal for an individual s marginal benefit of investing in capital to exceed his marginal cost of doing so this wedge is consistent with a positive tax on capital income we also prove that it is pareto optimal for the marginal rate of substitution between any two consumption goods to equal the marginal rate of transformation this lack of a wedge is consistent with uniform taxation of consumption goods within a period

currency option pricing with mean reversion and uncovered interest parity a revision of the garman kohlhagen model abstract we consider a model for the pricing of currency options where the logarithm of the exchange rate exhibits mean reversion i e follows the omstein uhlenbeck process we mention reasons why exchange rates could exhibit mean reversion the domestic and foreign short interest rates are related to the logarithm of the exchange rate through uncovered interest parity under these assumptions we derive formulas for the value of a european currency option from the point of view of both domestic and foreign investors we also derive formulas for options on forward and futures contracts we compare option values computed by means of the garman kohlhagen model with corresponding results from our model it appears that our model cannot explain all instances of mispricing of currency options by the garman kohlhagen model which have been reported by previous authors the main virtue of our paper however is that we derive a simple model which incorporates clear theoretical relationship between the exchange rate and the domestic and foreign interest rates

index futures arbitrage and the behavior of stock index futures prices this article examines intraday transaction datafor s p 500 stock indexfutures prices and the intraday quotes for the underlying index the data indicate that thefutures price changes are uncorrelated and that the variability of these price changes exceeds the variability ofprice changes in the s p 500 index this excess variability of the futures over the index remains even after controlling for the nonsynchronous prices in the index quotes which induces autocorrelation in the index changes we advance and examine empirically two hypotheses regarding the difference between the futures price and its theoretical value that this mispricing increases on average with maturity and that it is path dependent evidence supporting these hypotheses is presented

taxation and the allocation of talent taxation affects the allocation of talented individuals across professions by blunting material incentives and thus magnifying nonpecuniary incentives of pursuing a calling estimates from the literature suggest that high paying professions have negative externalities whereas low paying professions have positive externalities a calibrated model therefore prescribes negative marginal tax rates on middle class incomes and positive rates on the rich the welfare gains from implementing such a policy are small and are dwarfed by the gains from profession specific taxes and subsidies these results depend crucially on externality estimates and labor substitution patterns across professions both of which are very uncertain given existing empirical evidence

dynamic asset pricing with non redundant forwards abstract in an incomplete market in which non redundant forward contracts contribute to span the uncertainty some standard results of portfolio theory must be amended when the investment opportunity set is driven by k state variables a k 3 mutual fund separation theorem is obtained in lieu of merton s k 2 fund separation result the additional fund is a portfolio that hedges the interest rate risk brought about by the optimal portfolio strategy itself second the mean variance efficiency of the market portfolio of cash assets is neither a necessary nor a sufficient condition for the linear relationship between expected return and beta to hold third the pricing equation for a forward contract is shown to contain an extra term relative to that for a cash asset term we name strategy risk premium

price discrimination with transportation costs and arbitrage abstract this paper demonstrates that a higher price is always charged in the market with the smaller own price elasticity of demand when the price differential between two markets cannot exceed pre unit transportation costs a sufficient condition for gains from trade is also derived

price discrimination in related markets the pigou robinson pricing rule for third degree monopolistic price discrimination states that price ratios vary inversely with ratios of direct price elasticities of demand the rule holds when markets are sealed and cross price elasticities of demand are zero we show how the rule can fail when imperfect sealing permits leakage we also develop a general discriminatory pricing rule that holds when leakage causes market demands to be related the general pricing rule is based on all direct price elasticities of demand all cross price elasticities of demand and the size distribution of the markets

fiscal rules and discretion under persistent shocks this paper studies the optimal level of discretion in policymaking we consider a fiscal policy model where the government has time inconsistent preferences with a present bias toward public spending the government chooses a fiscal rule to trade off its desire to commit to not overspend against its desire to have flexibility to react to privately observed shocks to the value of spending we analyze the optimal fiscal rule when the shocks are persistent unlike under independent and identically distributed shocks we show that the ex ante optimal rule is not sequentially optimal as it provides dynamic incentives the ex ante optimal rule exhibits history dependence with high shocks leading to an erosion of future fiscal discipline compared to low shocks which lead to the reinstatement of discipline the implied policy distortions oscillate over time given a sequence of high shocks and can force the government to accumulate maximal debt and become immiserated in the long run

market interactions in returns and volatilities between spot and forward shipping freight markets abstract the lead lag relationship in both returns and volatilities between spot and futures markets has been investigated extensively in the financial economics literature only a limited number of such studies have appeared on forward markets primarily due to the lack of easy access to empirical data this paper uses a unique database in over the counter forward freight agreements ffa to investigate the issue the underlying commodity is non storable being that of a shipping service with the additional feature of transactions costs being higher in the spot market in comparison to the forward market these features have interesting implications for the markets at the practical level the better understanding of the mean and variance dynamics can improve risk management and budget planning decisions

a theory of dissimilarity between stochastic discount factors this paper proposes a measure of dissimilarity between stochastic discount factors sdfs in different economies the sdfs are made comparable using the respective bond prices as the numeraire the

optimal income taxation when asset taxation is limited several frictions restrict the government s ability to tax assets first it is very costly to monitor trades on international asset markets second agents can resort to nonobservable low return assets such as cash gold or foreign currencies if taxes on observable assets become too high this paper shows that limitations in asset taxation have important consequences for the taxation of labor income we study a simple dynamic moral hazard model of social insurance with observable and nonobservable saving decisions we find that optimal labor income taxes become less progressive when the ability to tax savings is limited

functional ross recovery theoretical results and empirical tests abstract recently ross 2015 showed that the real world probability distribution of a discrete markovian state variable can be recovered from observed option prices the so called recovery theorem follows from perron frobenius matrix theory when the pricing kernel is transition independent in this paper we generalize the recovery theorem to continuous state spaces using perron frobenius operator theory building on our theoretical results we devise a nonparametric approach to empirically estimate the recovered pricing kernel and probability density in closed form using s p 500 index options we analyze recovered pricing kernels empirically and find evidence that ross recovery is misspecified

optimal government policies in models with heterogeneous agents abstract in this paper we develop a new approach for finding optimal government policies in economies with heterogeneous agents using the calculus of variations we present three classes of equilibrium conditions from government s and individual agent s optimization problems 1 the first order conditions the government s lagrange euler equation and the individual agent s euler equation 2 the stationarity condition on the distribution function and 3 the aggregate market clearing conditions these conditions form a system of functional equations which we solve numerically the solution takes into account simultaneously the effect of the government policy on individual allocations the resulting optimal distribution of agents in the steady state and therefore equilibrium prices we illustrate the methodology on a ramsey problem with heterogeneous agents finding the optimal limiting tax on total income

pricing of long dated commodity derivatives do stochastic interest rates matter abstract does modelling stochastic interest rates beyond stochastic volatility improve pricing performance on long dated commodity derivatives to answer this question we consider futures price models for commodity derivatives that allow for stochastic volatility and stochastic interest rates and a correlation structure between the underlying variables we examine the empirical pricing performance of these models on pricing long dated crude oil derivatives estimating the model parameters from historical crude oil futures prices and option prices we find that stochastic interest rate models improve pricing performance on long dated crude oil derivatives when the interest rate volatility is relatively high furthermore increasing the model dimensionality does not tend to improve the pricing performance on long dated crude oil option prices but it matters for long dated futures prices we also find empirical evidence for a negative correlation between crude oil futures prices and interest rates that contributes to improving fit to long dated crude oil option prices

taxes and the pricing of stock index futures stock index futures prices are generally below the level predicted by simple arbitrage models this paper suggests that the discrepancy between the actual and predicted prices is caused by taxes capital gains and losses are not taxed until they are realized as constantinides demonstrates in a recent paper this gives stockholders a valuable timing option if the stock price drops the investor can pass part of the loss on to the government by selling the stock on the other hand if the stock price rises the investor can postpone the tax by not realizing the gain since this option is not available to stock index futures traders the futures prices will be lower than standard no tax models predict on 24 february 1982 the kansas city board of trade began trading futures contracts on the value line average stock index during the next two months both the chicago mercantile exchange and the new york futures exchange also initiated trading in stock index futures although these contracts are actively traded their prices have puzzled both practitioners and academics the observed

using asset prices to measure the persistence of the marginal utility of wealth we derive a lower bound for the volatility of the permanent component of investors marginal utility of wealth or more generally asset pricing kernels the bound is based on return properties of long term zero coupon bonds risk free bonds and other risky securities we find the permanent component of the pricing kernel to be very volatile its volatility is about at least as large as the volatility of the stochastic discount factor a related measure for the transitory component suggest it to be considerably less important we also show that for many cases where the pricing kernel is a function of consumption innovations to consumption need to have permanent effects

the case for a progressive tax from basic research to policy recommendations the fair distribution of the tax burden has long been a central issue in policyhe fair distribution of the tax burden has long been a central issue in policymaking a large academic literature has developed models of optimal tax making a large academic literature has developed models of optimal tax theory to cast light on the problem of optimal tax progressivity in this theory to cast light on the problem of optimal tax progressivity in this paper we explore the path from basic research results in optimal tax theory to paper we explore the path from basic research results in optimal tax theory to formulating policy recommendations formulating policy recommendations models in optimal tax theory typically posit that the tax system should maximize a models in optimal tax theory typically posit that the tax system should maximize a social welfare function subject to a government budget constraint taking into account social welfare function subject to a government budget constraint taking into account that individuals respond to taxes and transfers social welfare is larger when resources that individuals respond to taxes and transfers social welfare is larger when resources are more equally distributed but redistributive taxes and transfers can negatively are more equally distributed but redistributive taxes and transfers can negatively affect incentives to work save and earn income in the fi rst place this creates the clasaffect incentives to work save and earn income in the fi rst place this creates the classical trade off between equity and effi ciency which is at the core of the optimal income sical trade off between equity and effi ciency which is at the core of the optimal income tax problem in general optimal tax analyses maximize social welfare as a function of tax problem in general optimal tax analyses maximize social welfare as a function of individual utilities the sum of utilities in the utilitarian case the marginal weight for individual utilities the sum of utilities in the utilitarian case the marginal weight for a given person in the social welfare function measures the value of an additional dollar a given person in the social welfare function measures the value of an additional dollar of consumption expressed in terms of public funds such welfare weights depend on of consumption expressed in terms of public funds such welfare weights depend on the level of redistribution and are decreasing with income whenever society values the level of redistribution and are decreasing with income whenever society values more equality of income therefore optimal income tax theory is fi rst a normative more equality of income therefore optimal income tax theory is fi rst a normative theory that shows how a social welfare objective combines with constraints arising from theory that shows how a social welfare objective combines with constraints arising from limits on resources and behavioral responses to taxation in order to derive specifi c limits on resources and behavioral responses to taxation in order to derive specifi c

consumption and risk sharing over the life cycle a striking feature of u s data on income and consumption is that inequality increases with age this paper asks if individual specific earnings risk can provide a coherent explanation we find that it can we construct an overlapping generations general equilibrium model in which households face uninsurable earnings shocks over the course of their lifetimes earnings inequality is exogenous and is calibrated to match data from the u s panel study on income dynamics consumption inequality is endogenous and matches well data from the u s consumer expenditure survey the total risk households face is decomposed into that realized before entering the labor market and that realized throughout the working years in welfare terms the latter is found to be more important than the former

returns of claims on the upside and the viability of u shaped pricing kernels abstract when the pricing kernel is u shaped then expected returns of claims with payout on the upside are negative for strikes beyond a threshold determined by the slope of the u shaped kernel in its increasing region and have negative partial derivative with respect to strike in the increasing region of the kernel using returns of i s p 500 index calls ii calls on major international equity indexes iii digital calls iv upside variance contracts and v a theoretical construct that we denote as kernel call we find broad support for the implications of u shaped pricing kernels a possible theoretical reconciliation of our empirical findings is explored through a model that accommodates heterogeneity in beliefs about return outcomes and short selling

optimal taxation and human capital policies over the life cycle this paper derives optimal income tax and human capital policies in a life cycle model with risky human capital the government faces asymmetric information regarding agents ability its evolution and labor supply when the wage elasticity with respect to ability is increasing in human capital the optimal subsidy involves less than full deductibility of human capital expenses on the tax base and falls with age income contingent loans or a deferred deductibility scheme can implement the optimum numerical results suggest that full deductibility of expenses is close to optimal and that simple linear age dependent policies perform very well

nonlinear household earnings dynamics self insurance and welfare earnings dynamics are much richer than typically assumed in macro models with heterogeneous agents this holds for individual pre tax and household post tax earnings and across administrative social security administration and survey panel study of income dynamics data we study the implications of two processes for household post tax earnings in a standard life cycle model a canonical earnings process that includes a persistent and a transitory shock and a rich earnings dynamics process that allows for age dependence of moments non normality and nonlinearity in previous earnings and age allowing for richer earnings dynamics implies a substantially better fit of the evolution of cross sectional consumption inequality over the life cycle and of the individual level degree of consumption insurance against persistent earnings shocks richer earnings dynamics also imply lower welfare costs of earnings risk but as the canonical earnings process do not generate enough concentration at the upper tail of the wealth distribution

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

intertemporal commodity futures hedging and the production decision this paper deals with the producer s optimal use of commodity futures in hedging the framework for analysis is an intertemporal consumption and investment model the producer makes his production decisions at the beginning of the period and realizes his return at the end of the time interval during the period he faces both price and output uncertainties in applying stochastic dynamic programming methods this paper shows the effect of these risks on his consumption behavior further the paper investigates his optimal hedging positions in the futures market over time and his optimal production decisions finally implications of these results on the futures markets are discussed this paper studies a normative model of the farmer s optimal hedging strategy and consumption behavior in a continuous time framework recent papers for example berck 3 rolfo 18 stoll 21 have analyzed the farmer s hedging strategies in a one period context these papers have provided interesting insights into the farmer s production decisions and the optimal design of futures contracts and markets however in a one period model some rather restrictive conditions are imposed on the individual s behavior for example in these models an individual is assumed to ignore any information arrival process as a result the individual is assumed to adjust neither consumption behavior nor hedging positions to the changing state of the world during the production period these conditions can be relaxed in a continuous time framework in an intertemporal context the farmer s hedging problem may be viewed as follows since the farm income at harvest depends on both the spot price and the output in bushels the farmer is subject to both price and output uncertainties during the production period 1 when the farmer can hedge only in the commodity futures market he cannot eliminate both the price and output uncertainties by any hedging strategy 2 as the farm income represents a significant portion of his wealth he must necessarily hold an undiversified portfolio during the production period therefore in essence the farmer must solve for his investment consumption behavior and his hedging strategy facing the nonmarketable asset problem mayers 14 in a multiperiod framework in this context one can see intuitively the major difference between a one

taxes and the futures forward price difference in the 91 day t bill market this paper investigates a tax based explanation for the futures forward price divergence in the ninety one day t bill the explanation is firstly in terms of the distinction between capital gains and losses and ordinary gains and losses and secondly in terms of investors to whom the above distinction applies and investors such as broker dealers to whom it does not the empirical results are encouraging though more ambiguous in the post 1981 period overall it would seem that other factors in addition to taxes are also at work copyright 1989 by ohio state university press

determinants of hedging and risk premia in commodity futures markets this paper examines the determinants of commodity futures hedging and of risk premia arising from covariation of the futures price with stock market returns and with the reve nues of producers owing to supply shocks that stochastically redistribute real wealth surplus between producers and consumers and to limited participation in the futures market the total risk premium in the model is not proportional to the contract s covariance with aggregate consumption stock market variability interacts with the incentive to hedge causing the producer hedging component of the risk premium to increase de crease with income elasticity for a normal inferior good production costs that depend on output raise the premium we argue that output and demand shocks will typically be positively correlated raising the premium high supply elasticity reduces the absolute heding premium by reducing the variability of spot price and revenue

econometric modelling of non ferrous metal prices abstract this article evaluates the significance of the empirical models and the distributional properties of prices in non ferrous metal spots and futures markets published in leading refereed economics and finance journals between 1980 and 2002 the survey focuses on econometric analyses of pricing and return models applied to exchange based spot and futures markets for the main industrially used non ferrous metals namely aluminium copper lead nickel tin and zinc published empirical research is evaluated in the light of the type of contract examined frequency of data used choice of both dependent and explanatory variables use of proxy variables type of model chosen economic hypotheses tested methods of estimation and calculation of ses for inference reported descriptive statistics use of diagnostic tests of auxiliary assumptions use of nested and non nested tests use of information criteria and empirical implications for non ferrous metals