the forecasting ability of correlations implied in foreign exchange options abstract this paper evaluates the forecasting accuracy of correlations derived from implied volatilities in dollar mark dollar yen and mark yen options from january 1989 to may 1995 as a forecast of realized correlation between the dollar mark and dollar yen implied correlation is compared against three alternative forecasts based on time series data historical correlation riskmetrics exponentially weighted moving average correlation and correlation estimated using a bivariate garch 1 1 model at the 1 month and 3 month forecast horizons we find that implied correlation outperforms often significantly these alternative forecasts in combinations implied correlation always incrementally improves the performance of other forecasts but not the converse in certain cases historically based forecasts contribute no incremental information to implied forecasts the superiority of the implied correlation forecast holds even when forecast errors are weighted by realized variances reflecting correlation s contribution to the dollar variance of a multicurrency portfolio

how do market reforms affect china s responsiveness to environmental policy a large percentage of total investment in china is allocated by the central government at below market interest rates in pursuit of non economic objectives this has resulted in low rates of return and a high number of non performing loans threatening the future health of the chinese economy as a result reform of capital markets is a high priority of the chinese government at the same time the country is implementing various environmental policies to deal with serious pollution issues in this paper we ask how reforms of the capital market will affect the functioning of a carbon tax this allows us to assess how china s willingness to join global efforts to reduce carbon emissions is influenced by china s current efforts to reduce investment subsidies we compare the costs of a carbon tax in a reformed economy with the costs of a carbon tax in the current subsidized economy we find that in the subsidized economy the tax interaction effect dampens the effect of a carbon tax resulting in smaller reductions in emissions than what would result in a reformed economy importantly we also find that the effect on economic welfare from a carbon tax is lower in the subsidized economy in fact for lower levels of reductions the carbon tax is actually welfare improving these results have important implications for an economy undergoing economic transition the carbon tax rate required to achieve a certain level of emission reductions will be higher in an economy with capital subsidies however the welfare implications of the tax indicate that the current system with capital subsidies is highly distorting implying that there is a high efficiency cost for the non economic objectives the government is pursuing by maintaining this system of subsidies

option implied objective measures of market risk foster and hart 2009 introduce an objective measure of the riskiness of an asset that implies a bound on how much of one s wealth is safe to invest in the asset while a s guaranteeing no bankruptcy in the long run in this study we translate the foster hart measure from static and abstract gambles to dynamic and applied finance using nonparametric estimation of risk neutral densities from s p 500 call and put option prices covering 2003 to 2013 this exercise results in an option implied market view of objective riskiness the dynamics of the resulting option implied foster hart bound are analyzed and assessed in light of well known risk measures including value at risk expected shortfall and risk neutral volatility the new measure is shown to be a significant predictor of ahead return downturns furthermore it is able to grasp more characteristics of the risk neutral probability distributions than other measures furthermore exhibiting predictive consistency the robustness of the risk neutral density estimation method is analyzed via a bootstrap

upper and lower bounds of put and call option value stochastic dominance approach applying stochastic dominance rules with borrowing and lending at the risk free interest rate we derive upper and lower values for an option price for all unconstrained utility functions and alternatively for concave utility functions the derivation of these bounds is quite general and fits any kind of stock price distribution as long as it is characterized by a nonnegative beta transaction costs and taxes can be easily incorporated in the model presented here since investors are not required to revise their portfolios continuously the price that is paid for this generalization is that a range of values rather than a unique value is obtained in the last decade there has been an increasing interest in the options market by both academicians and practitioners the most well known valuation models are the black scholes 4 model the jump stochastic process model see cox and ross 6 the binomial model see cox ross and rubinstein 7 rendleman and bartler 19 and sharpe 22 and rubinstein s discrete model 21 recently perrakis and ryan 18 using rubinstein s approach have derived upper and lower bounds for option prices the relative pricing theory of contingent claims differs in the continuous time and discrete time models in a continuous time framework the instantaneous expected rate of return of the option and that of the underlying stock must follow a certain market equilibrium condition in this case the equilibrium condition is easily determined by a continuous hedging strategy in the discrete time case there is no hedging strategy to provide a simple relationship between the option and the stock price however for a given value distribution of the stock the value distribution of the option is uniquely determined by the option exercise price and this suggests some possible relationships between the stock and option values

parametric pricing of higher order moments in s p500 options a general parametric framework based on the generalized student t distribution is developed for pricing s p500 options higher order moments in stock returns as well as time varying volatility are priced an important computational advantage of the proposed framework over monte carlo based pricing methods is that options can be priced using one dimensional quadrature integration the empirical application is based on s p500 options traded on select days in april 1995 a total sample of over 100 000 observations a range of performance criteria are used to evaluate the proposed model as well as a number of alternative models the empirical results show that pricing higher order moments and time varying volatility yields improvements in the pricing of options as well as correcting the volatility skew associated with the black scholes model

foreign exchange market intervention and expectations the yen dollar exchange rate abstract using press reports and official statistics on central bank intervention in conjunction with options market data we find that central bank intervention had no statistically significant systematic impact on the mean or higher moments of the exchange rate during 1993 2000 we also find that japanese authorities appeared to intervene mainly in response to deviations of the exchange rate from some implicit target levels and to a rise in market uncertainty u s monetary authorities intervened only in cooperation with the japanese authorities

commuting transport tax reform and the labour market employer paid parking and the relative efficiency of revenue recycling instruments in this paper the welfare effects of a budget neutral increase in taxes on car commuters are studied in a model that takes into account the presence of employer paid parking at the workplace it is found that the presence of employer paid parking substantially increases the welfare effect of such a tax reform independent of the use of the revenues congestion taxes not only correct congestion externalities they also reduce the inefficiency caused by employer paid parking moreover different congestion effects of alternative recycling instruments and the presence of employer paid parking jointly imply that recycling the tax revenues via higher public transport subsidies may yield much more favourable welfare effects than previously believed it can easily outperform recycling the tax revenues via lower labour taxes finally cashing out parking costs to public transport users is found to generate substantial positive welfare effects numerical analysis confirms the theory

approximate option valuation for arbitrary stochastic processes abstract we show how a given probability distribution can be approximated by an arbitrary distribution in terms of a series expansion involving second and higher moments this theoretical development is specialized to the problem of option valuation where the underlying security distribution if not lognormal can be approximated by a lognormally distributed random variable the resulting option price is expressed as the sum of a black scholes price plus adjustment terms which depend on the second and higher moments of the underlying security stochastic process this approach permits the impact on the option price of skewness and kurtosis of the underlying stock s distribution to be evaluated

oil prices brownian motion or mean reversion a study using a one year ahead density forecast criterion abstract for oil related investment appraisal an accurate description of the evolving uncertainty in the oil price is essential for example when using real option theory to value an investment a density function for the future price of oil is central to the option valuation the literature on oil pricing offers two views the arbitrage pricing theory literature for oil suggests geometric brownian motion and mean reversion models empirically driven literature suggests arma garch models in addition to reflecting the volatility of the market the density function of future prices should also incorporate the uncertainty due to price jumps a common occurrence in the oil market in this study the accuracy of density forecasts for up to a year ahead is the major criterion for a comparison of a range of models of oil price behaviour both those proposed in the literature and following from data analysis the kullbach leibler information criterion is used to measure the accuracy of density forecasts using two crude oil price series brent and west texas intermediate wti representing the us market we demonstrate that accurate density forecasts are achievable for up to nearly two years ahead using a mixture of two gaussians innovation processes with garch and no mean reversion

option prices and the underlying asset s return distribution this work examines the relation between option prices and the true as opposed to risk neutral distribution of the underlying asset if the underlying asset follows a diffusion with an instantaneous expected return at least as large as the instantaneous risk free rate observed option prices can be used to place bounds on the moments of the true distribution an illustration of the paper s results is provided by the analysis of the information concerning the mean and standard deviation of market returns contained in the prices of s p 100 index options although it seems natural that the prices of claims to various parts of the underlying asset s distribution should contain information about the shape of that distribution cox and ross 1976 established that an option s price equals its expected payoff discounted at the risk free rate where the expectation is taken over the risk neutral rather than the true distribution of the underlying asset linking the risk neutral distribution implicit in option prices to the true distribution remains a comparative mystery a necessary condition for the risk neutral pricing methodology to be applicable is that the true and the risk neutral distribution share a common support the only information about the true distribution that can be obtained from observed option prices alone is information about that support this paper demonstrates though that observed option prices when used in conjunction with simple assume d restrictions on the true distribution do contain information about the noncentral moments of the true distribution not directly implied by those assumed restrictions alone the intuition for the result that option prices can be useful in placing bounds on the moments of the true distribution is straightforward first we generalize the results in lo 1987 to show how the expected payoff to a call can be bounded above in terms of any chosen set of the noncentral moments of the return on the underlying asset second we establish restrictions on the

reading pibor futures options smiles the 1997 snap election abstract in this paper we compare various methods that extract a risk neutral density rnd out of pibor interest rate futures options and we investigate how traders react to a political event our benchmark model derives from a brace d gatarek m musiela mathematical finance 7 1997 127 155 we also consider a mixture of log normals as in w r melik c p thomas journal of financial and quantitative analysis 32 1997 91 116 an hermite expansion as in p abken d b madan s ramamurtie estimation of risk neutral and statistical densities by hermite polynomial approximation with an application to eurodollar futures options federal reserve bank of atlanta 1996 and a method based on maximum entropy according to p buchen m kelly journal of financial and quantitative analysis 31 1996 143 159 we take care of the early exercise feature and we show how to approximate rnds for a fixed time to maturity the various methods generate similar rnds a daily panel of options running from february 1997 to july 1997 reveals that operators expected the snap election a few days before the official announcement was made and that a substantial amount of political uncertainty subsisted even a month after the elections uncertainty evolved with polls forecasts of the future government

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

normal mixture diffusion with uncertain volatility modelling short and long term smile effects this paper introduces a parameterization of the normal mixture diffusion nmd local volatility model that captures only a short term smile effect and then extends the model so that it also captures a long term smile effect we focus on the binomial nmd parameterization so called because it is based on simple and intuitive assumptions that imply the mixing law for the normal mixture log price density is binomial with more than two possible states for volatility the general parameterization is related to the multinomial mixing law in this parsimonious class of complete market models option pricing and hedging is straightforward since model prices and deltas are simple weighted averages of black scholes prices and deltas but they only capture a short term smile effect where leptokurtosis in the log price density decreases with term in accordance with the stylised facts of econometric analysis on ex post returns of different frequencies and the central limit theorem however the last part of the paper shows that longer term smile effects that arise from uncertainty in the local volatility surface can be modeled by a natural extension of the binomial nmd parameterization results are illustrated by calibrating the model to several euro us dollar currency option smile surfaces

reading the smile the message conveyed by methods which infer risk neutral densities abstract in this study we compare the quality and information content of risk neutral densities obtained by various methods we consider a non parametric method based on a mixture of log normal densities the semi parametric ones based on an hermite approximation or based on an edgeworth expansion the parametric approach of malz which assumes a jump diffusion for the underlying process and heston s approach assuming a stochastic volatility model we apply those models on ff dm exchange rate options for two dates models differ when important news hits the market here anticipated elections the non parametric model provides a good fit to options prices but is unable to provide as much information about market participants expectations than the jump diffusion model

calibration of option based probability assessments in agricultural commodity markets a method for evaluating the reliability of option based price probability assessments is developed based on the calibration concept empirical tests using goodness of fit criteria are applied to four agricultural commodities results suggest that assessments in the corn and live cattle markets are reliable but such assessments overstate the volatility of soybean prices and understate the location of hog prices

higher price lower costs minimum prices in the eu emissions trading scheme this paper examines the introduction of a price floor in an emissions trading system ets when some emissions are regulated outside of the ets we theoretically characterize the conditions under which a price floor enhances welfare using a numerical simulation model of the european union we find that moderate minimum prices in the eu ets can reduce the costs of eu climate policy by up to thirty percent we also find that due to tax interaction effects the optimal minimum price in the eu ets should be about four times higher than the average marginal abatement cost in non ets sectors this article is protected by copyright all rights reserved

carbon taxation when climate affects productivity optimal carbon taxation is evaluated in a model where climate change affects productivity with a numerical us economy model with preexisting taxes the optimal carbon tax is found to exceed marginal social damage by 53 percent and marginal private damage the sum of households marginal willingness to pay by 73 percent the welfare gain from optimal carbon taxation is estimated at 3 58 billion per year when marginal damages are 40 ton employment also increases setting the carbon tax at the pigouvian rate raises welfare by only 3 17 billion the contrasting results in the tax interaction literature are due to the use of marginal private damage when applied to amenity externalities

effects of carbon taxes in an economy with prior tax distortions an intertemporal general equilibrium analysis abstract this paper analyzes the costs of carbon taxes in a model that recognizes interactions between this tax and pre existing taxes first we examine the extent to which costs of a u s carbon tax are reduced when its revenues finance cuts in income taxes such use of revenues significantly reduces but does not eliminate the overall policy costs the positive overall costs reflect the carbon tax s focus on intermediate inputs and its relatively narrow base in comparison with income taxes we also examine the sensitivity of the carbon tax s costs to the level of pre existing taxes for any given use of revenues welfare costs rise significantly with pre existing tax rates indicating that models disregarding pre existing taxes may substantially understate the costs of new environmental tax initiatives

the role of public policy in optimizing renewable energy development in the greater southern appalachian mountains abstract this research presents a third component of a comprehensive decision support system for energy planning that allows for combining existing electricity generating capabilities with increased use of renewable energy sources it focuses on energy planning at the regional level and concentrates specifically on the greater southern appalachian mountains of the eastern united states a region that was chosen for analysis not only due to its heavy dependence on coal for electricity but also because of its potential for increased use of wind and solar power previous research used a geographic information system gis model for identifying renewable energy potential to provide input data for a multi objective linear programming molp model to determine the optimal constrained mix of renewable energy sources and existing fossil fuel facilities by balancing annual generation costs against the corresponding greenhouse gas emissions this new component of the system analyzes three potential public policies renewable portfolio standard carbon tax and renewable energy production tax credit that have been used to foster increased renewable energy usage these policies require minor modifications to the molp model for implementation the results of these policy cases were then analyzed to determine the impact that these policies have on generation cost and pollution emissions within the region

foreign exchange market intervention in two small open economies the canadian and australian experience abstract we examine intervention by the bank of canada and the reserve bank of australia for daily data from 1989 to 1998 both central banks intervene in response to excessive exchange rate volatility and uncertainty volatility is the implied volatility of foreign currency futures options uncertainty is the kurtosis of the implied risk neutral probability density functions we also examine the impact of inflation targets unlike other studies we also consider commodity futures prices these turn out to help explain the effectiveness of intervention central bank intervention was largely unsuccessful in both countries though volatility and kurtosis were modestly affected

the synthesis of bottom up and top down approaches to climate policy modeling electric power technology detail in a social accounting framework abstract hybrid climate policy simulations have sought to bridge the gap between bottom up engineering and top down macroeconomic models by integrating the former s energy technology detail into the latter s macroeconomic framework construction of hybrid models is complicated by the need to numerically calibrate them to multiple incommensurate sources of economic and engineering data i develop a solution to this problem following howitt s howitt r e 1995 positive mathematical programming american journal of agricultural economics 77 329 342 positive mathematical programming approach using data for the u s i illustrate how the inputs to the electricity sector in a social accounting matrix may be allocated among discrete types of generation so as to be consistent with both technologies input shares from engineering cost estimates and the zero profit and market clearance conditions of the sector s macroeconomic production structure

speculation in international crises report from the gulf recent years have seen recurring international financial crises as well as a tremendous rise in trading and speculation how are the two related are speculators and trading responsible for market volatility this paper presents a study of the gulf crisis of 1990 1991 examining the behavior of the international oil market during a period of unprecedented volatility the analysis suggests that a combination of political events and market fundamentals rather than trading was behind this volatility

fomc forward guidance and investor beliefs abstract this paper considers the effect of different dimensions of the fomc s forward guidance on ex ante investor expectations about future changes in us treasury yields options and futures data for 2 and 10 year treasuries is used to extract state price densities of investor beliefs and the corresponding standard deviation skewness and excess kurtosis of these densities are computed announcements about extension of the zero lower bound in 2012 13 are found to reduce the expectations about crash risk but increase the uncertainty about future yields for the 10 year policies about long security purchases lead investors to place greater weight on no change in future yields

recovering risk neutral densities from option prices a new approach in this paper we present a new method of approximating the risk neutral density rnd from option prices based on the c type gram charlier series expansion gcse of a prob ability density function the exponential form of this type of gcse guarantees that it will always give positive values of the risk neutral probabilities and it can allow for stronger deviations from normality which are two drawbacks of the a type gcse used in practice to evaluate the performance of the suggested expansion of the rnd the paper presents simulation and empirical evidence

financial contagion and asset pricing abstract asset market interconnectedness can give rise to significant contagion risks during periods of financial crises that extend beyond the risks associated with changes in volatilities and correlations these channels include the transmission of shocks operating through changes in the higher order comoments of asset returns including changes in coskewness arising from changes in the interaction between volatility and average returns across asset markets these additional contagion channels have nontrivial implications for the pricing of options through changes in the payoff probability structure and more generally in the management of financial risks the effects of incorrectly pricing risk has proved to be significant during many financial crises including the subprime crisis from mid 2007 to mid 2008 the great recession beginning 2008 and the european debt crisis from 2010 using an exchange options model the effects of changes in the comoments of asset returns across asset markets are investigated with special emphasis given to understanding the effects on hedging risk during financial crises the results reveal that by not correctly pricing the risks arising from higher order moments during financial crises there is significant mispricing of options while hedged portfolios during noncrisis periods become exposed to price movements in times of crises

the crash of ʼ87 was it expected the evidence from options markets transactions prices of s p 500 futures options over 1985 1987 are examined for evidence of expectations prior to october 1987 of an impending stock market crash first it is shown that out of the money puts became unusually expensive during the year preceding the crash second a model is derived for pricing american options on jump diffusion processes with systematic jump risk the jump diffusion parameters implicit in options prices indicate that a crash was expected and that implicit distributions were negatively skewed during october 1986 to august 1987 both approaches indicate no strong crash fears during the 2 months immediately preceding the crash attempts to explain what caused the stock market crashes around the world in october 1987 have suffered from the paucity of major economic developments occurring around that time that could have triggered the crashes shifting expectations regarding monetary policy foreign investors fears of a dollar decline increasing riskiness of assets none of these appeared major enough if present at all to explain the magnitude of the crashes and although portfolio insurance strategies could conceivably magnify the effects of a jump in fundamentals the initiating jump in fundamentals appears to be lacking

an options based analysis of emerging market exchange rate expectations brazil s real plan 1994 1999 abstract this paper uses currency option data to investigate market expectations on the brazilian real u s dollar exchange rate from october 1994 through march 1999 we derive implied probability density functions pdf for expected future exchange rates and thus measures of the credibility of the crawling peg and target zone regimes governing the exchange rate target zone credibility was poor prior to february 1996 improved afterwards through september 1997 and later started to worsen again the market anticipated periodic band adjustments and estimated distributions are very sensitive to political and economic news affecting the credibility of the regime

recovering an asset s implied pdf from option prices an application to crude oil during the gulf crisis we develop a general method for estimating the implied martingale equivalent probability density function pdf for futures prices from american options prices the early exercise feature of american options precludes expressing the price of the option in terms of the pdf there exist tight bounds for the price of american options in terms of the pdf we demonstrate how these bounds together with observed option prices can be used to estimate the parameters of the pdf we estimate the distribution for crude oil during the persian gulf crisis and find the distribution differs significantly from that recovered using standard techniques

semi parametric upper bounds for option prices and expected payoffs abstract upper bounds on the expected payoff of call and put options are derived these bounds depend only on the mean and variance of the terminal stock price and not on its entire distribution so they are termed semi parametric a corollary of this result is a set of upper bounds for option prices obtained by the risk neutral valuation approach of cox and ross as an example these bounds are shown to obtain across both lognormal diffusions and mixed diffusion jump processes for any given data set we present an illustrative example that suggests these bounds may be of considerable practical value

joint trade liberalization and tax reform in a small open economy the case of egypt abstract we develop a cge model of the egyptian economy to analyze the impact of various trade liberalization scenarios allowing distortionary domestic taxes to vary endogenously in order to satisfy a fixed real government revenue target we decompose computed welfare gains into effects from tax reform trade reform and their interaction scenarios include removal or unification of the consumption tax capital tax or both and tariff unification a free trade agreement with the european union and unilateral tariff elimination welfare effects depend critically on the type of revenue replacement tax while both are important neither trade policy reform nor tax reform dominates

recycling of carbon energy taxes and the labor market this paper provides a quantitative assessmet of a cost shift from labor to energy by means of a carbon energy tax the analysis utilizes a general equilibrium model for the european community placing the emphasis on the modeling of labor supply the paper highlights the importance of the feedback from an induced increase in labor demand to wage formation it shows that the goals of co2 reduction and improved employment are complementary provided the reduction in labor costs financed by the carbon energy tax is not offset by increased wage claims under this condition reduced co2 is consistent with an increase in gdp

biofuel subsidies versus the gas tax the carrot or the stick abstract this paper provides an analytical framework to examine the relative efficiencies of a revenue neutral biofuel subsidy and a gas tax in the presence of pre existing distortions and growing substitutability between fuels both policies are set to achieve a targeted reduction in gasoline use at the state level the model is then calibrated for a small open economy such as illinois which is one of the largest producers of biofuels such as ethanol in the u s the main result of the paper shows that raising the biofuel subsidy use reduces overall welfare by more than a higher gas tax both aimed to achieve a targeted reduction in pure gasoline the relative efficiency of the higher gas tax is primarily due to it exacerbating the pre existing distortion in the biofuel market by less than the subsidy moreover for current parameter estimates welfare improving policy combinations for achieving a targeted amount of energy security are higher gas taxes combined with lower biofuel subsidies and a lower tax on income however the preference for a gasoline labor tax swap shrinks as the elasticity of substitution between the two fuels rises

energy taxation and the double dividend effect in taiwan s energy conservation policy an empirical study using a computable general equilibrium model abstract faced with pressure from greenhouse gas reductions and energy price hikes the taiwan government is in the process of developing an energy tax regime to reflect environmental external costs and effectively curb energy consumption as well as mitigate co2 emissions through an adequate pricing system this study utilizes a cge model to simulate and analyze the economic impacts of the draft energy tax bill and its complementary fiscal measures under the assumption of tax revenue neutrality the use of energy tax revenue generated for the purpose of reducing income tax is the best choice with double dividend effects since it will effectively stimulate domestic consumption and investment and consequently mitigate the negative impacts of the distortionary tax regime the double dividend effect is less significant however when the supplementary measures being used are for government expenditure nevertheless all supplementary measures have effectively reduced energy consumption which means they have delivered at least the first dividend in the sense of co2 emissions control it has been verified in this study that having adequate public finance policy measures is the key to realizing the double dividend effect

option pricing bounds in discrete time upper and lower bounds are derived for call options traded at discrete intervals these bounds are independent of assumptions on the stock price distribution other than a restriction satisfied by the stock being non negative beta the development of the bounds relies on the single price law and arbitrage arguments both single period and multiperiod results are produced and put option bounds follow by extension the bounds exist as equilibrium values given a consensus on stock price distribution they are also valid for empirical studies being adjustable for dividends and commissions following the impetus of the black scholes pricing model the majority of option analyses have been in continuous time such approaches have relied on the formation of perfect riskless hedges involving the option its underlying security and a riskless asset since the hedge must be continuously revised and maintained while actual trading opportunities are discrete this crucial assumption limits the accuracy and applicability of the black scholes and related formulae in fact the black scholes formula can only be considered as a valid approximation to the discrete time solution merton 8 p 663 while the closeness of that approximation has not been ascertained in general 1 earlier discrete models such as boness 3 and samuelson 12 have been succeeded by those of brennan 5 cox et al 6 and rubinstein 11 in which distributional restrictions are imposed on share returns usually the discrete formula converges to the black scholes expression under appropriate limit conditions using the rubinstein 11 approach we derive upper and lower bounds for option prices with both a general price distribution and discrete trading opportunities the bounds are functions of the share and exercise prices the riskless rate of interest the distribution of the share price change per period and the number of periods of expiration of the option the lower bound is tighter than that of merton 7 derived from more general arbitrage considerations while being less exact than the results already mentioned for restricted distributions

bounds and prices of currency cross rate options abstract this paper derives the pricing bounds of a currency cross rate option using the option prices of two related dollar rates via a copula theory and presents the analytical properties of the bounds under the gaussian framework our option pricing bounds are useful because 1 they are general in the sense that they do not rely on the distribution assumptions of the state variables or on the selection of the copula function 2 they are portfolios of the dollar rate options and hence are potential hedging instruments for cross rate options and 3 they can be applied to generate bounds on deltas the empirical tests suggest that there are persistent and stable relationships between the market prices and the estimated bounds of the cross rate options and that our option pricing bounds obtained from the market prices of options on two dollar rates and the historical correlation of two dollar rates are highly informative for explaining the prices of the cross rate options moreover the empirical results are consistent with the predictions of the analytical properties under the gaussian framework and are robust in various aspects

market expectations in the uk before and after the erm crisis the british pound left the erm on 16 september 1992 after a period of turbulence uk monetary policy soon shifted to lower short interest rates and an inflation target was announced this paper uses daily option prices to estimate how the market s probability distribution of the future marks pound exchange rate and uk and german interest rates changed over the summer and autumn of 1992 the results show among other things how various policy decisions affected the market s assessment of the probabilities of realignments and lending rate cuts

the effect of macroeconomic news on beliefs and preferences evidence from the options market we examine the effect of regularly scheduled macroeconomic announcements on the beliefs and preferences of participants in the u s treasury market by comparing the option implied state price densities spds of bond prices shortly before and after the announcements we find that the announcements reduce the uncertainty implicit in the second moment of the spd regardless of the content of the news the changes in the higher order moments in contrast depend on whether the news is good or bad for economic prospects we explore three alternative explanations for our empirical findings relative mispricing changes in beliefs and changes in preferences we find that our results are consistent with time varying risk aversion

a two level dynamic game of carbon emission trading between russia china and annex b countries this paper proposes a computable dynamic game model of the strategic competition between russia and developing countries dcs mainly represented by china on the international market of emission permits created by the kyoto protocol the model uses a formulation of i a demand function for permits from annex b countries and ii marginal abatement costs mac in russia and china provided by two detailed models gemini e3 is a computable general equilibrium model that provides the data to estimate annex b demand for permits and macs in russia poles is a partial equilibrium model that is used to obtain mac curves for china the competitive scenario is compared with a monopoly situation where only russia is allowed to play strategically the impact of allowing dcs to intervene on the international emission trading market is thus assessed

revealing the implied risk neutral mgf from options the wavelet method options are believed to contain unique information on the risk neutral moment generating function mgf or the risk neutral probability density function pdf of the underlying asset this paper applies the wavelet method to approximate the implied risk neutral mgf from option prices monte carlo simulations are carried out to show how the risk neutral mgf can be obtained using the wavelet method with the black scholes model as the benchmark we offer a novel method to reveal the implied mgf and to price in sample options and forecast out of sample option prices with the estimated mgf

optimal dynamic carbon taxes in a climate economy model with distortionary fiscal policy how should carbon be taxed as a part of fiscal policy the literature on optimal carbon pricing often abstracts from other taxes however when governments raise revenues with distortionary taxes carbon levies have fiscal impacts while they raise revenues directly they may shrink the bases of other taxes e g by decreasing employment this article theoretically characterizes and then quantifies optimal carbon taxes in a dynamic general equilibrium climate economy model with distortionary fiscal policy first this article establishes a novel theoretical relationship between the optimal taxation of carbon and of capital income this link arises because carbon emissions destroy natural capital they accumulate in the atmosphere and decrease future output consequently this article shows how the standard logic against capital income taxes extends to distortions on environmental capital investments second this article characterizes optimal climate policy in sub optimal fiscal settings where income taxes are constrained to remain at their observed levels third this article presents a detailed calibration that builds on the seminal dice approach but adds features essential for a setting with distortionary taxes such as a differentiation between climate change production impacts e g on agriculture and direct utility impacts e g on biodiversity existence value the central quantitative finding is that optimal carbon tax schedules are 8 24 lower when there are distortionary taxes compared to the setting with lump sum taxes considered in the literature

energy taxes in the netherlands what are the dividends in this paper the environmental and economic effects of the introduction of a unilateral energy tax in the netherlands are analysed using an applied general equilibrium age model the effects of a small user energy tax and a general energy tax are compared while taking into account different tax recycling mechanisms the model contains a great level of detail with respect to emissions and environmental indicators greenhouse effect acidification eutrophication and waste which is helpful for assessing environmental quality the results show that the introduction of a small environmental tax reform not only improves the environment but also raises non environmental welfare which is due to an improvement of the efficiency of the tax structure

implied exchange rate distributions evidence from otc option markets abstract this paper uses a rich new dataset of option prices on the dollar mark dollar yen and key ems cross rates to extract the entire risk neutral probability density function pdf over horizons of 1 and 3 months we compare three alternative smoothing methods cubic splines an implied binomial tree trimmed and untrimmed and a mixture of lognormals for transforming option data into the pdf despite their methodological differences the three approaches lead to a similar pdf clearly distinct from the lognormal benchmark and typically characterized by skewness and leptokurtosis we then document a striking positive correlation between skewness in these pdfs and the spot rate the stronger a currency the more expectations are skewed towards a further appreciation of that currency we interpret this finding as a rejection that innovations in these exchange rates are independent of the level or characteristic of a credible target zone explicit or implicit instead this positive correlation is consistent with target zones with endogenous realignment risk we discuss two interpretations of our results on skewness when a currency is stronger the actual probability of further large appreciation is higher or because of risk such states are valued more highly

environmental tax reform efficiency and political feasibility although market based environmental measures like uniform co2 taxes reach a given standard at minimal cost they do not prevail in real world policies an effciency oriented environmental policy fails as it involves a redistributen of pollution rights resulting in a strong and generally effective opposition of the groups that forego economic rents the present paper analyzes the tradoff between efficiency and political feasibility of several co2 tax and reimbursement schemes using a computable general equilibrium model of switzerland the simulation results indicate that a policy combining a uniform co2 tax with differentiated labor subsidies preventing intersectoral redistribution is a better solution for the tradeoff than the presently existing tax schemes in various countries

coasean bargaining in the presence of pigouvian taxation coasean arguments against the pigouvian perspective are well established a central tenet in this criticism argues that a pigouvian tax may be a source of inefficiency if parties were to bargain in the presence of a pigouvian tax allocative inefficiencies would occur the so called buchanan stubblebine turvey theorem by analyzing a coasean environment where the appropriation of property rights is costly we show coasean bargaining in the presence of a pre existing pigouvian tax may be superior this has implications for policy where dual regulatory environments exist such as regulation at the state and federal level as well as environmental liability and litigation

impact of cap and trade policies for reducing greenhouse gas emissions on u s households abstract proposals being considered by the u s congress would establish a cap and trade system to cut greenhouse gas ghg emissions approximately 2 annually through 2050 past cap and trade policies for other pollutants have distributed allowances free to the regulated companies leaving consumers uncompensated for passed through costs needed to achieve the required reductions social equity concerns were not a major issue because the total costs were relatively small however americans currently spend about 1 trillion year on energy directly and indirectly via the goods and services they consume if a cap on carbon emissions results in significant increases in energy prices social equity concerns could quickly dominate the debate over climate policy this paper confirms earlier studies that a traditional cap and trade policy is regressive and would cause the cost of reducing ghg emissions to fall disproportionately on low income households this paper explores ways to ameliorate those effects using highly disaggregated data available on consumer expenditures and energy input output analyses of the u s economy emissions are estimated based on direct and embodied energy use at the household level social equity concerns are taken into account and the consequences of cap and trade policies are assessed by quantifying the extent to which the expenditure patterns of the poor are significantly more energy intensive than those of the rich

sectoral effects of a green tax reform in portugal abstract economic downturn coupled with serious and persisting environmental problems require a new regulation system to tackle these problems the portuguese government created the commission for the green tax reform in 2014 following the guidelines of the european union in the sense that fiscal policy should contribute to public budget consolidation and sustainable growth the commission was commissioned to propose a simplification of taxation in order to promote economic competitiveness environmental sustainability and the efficient use of resources the aim of this paper is to present the results from one of the teams that have contributed to the commission for the green tax reform we have followed the european commission guidelines in order to simulate a green tax reform with a static general equilibrium model and aligned to the political context we found that i it is possible to enjoy a positive double dividend ii to achieve improvements in the energy trade balance and energy independence and iii to reduce the energy intensity of the portuguese economy

new techniques to extract market expectations from financial instruments this paper is a selective survey of new or recent methods to extract information about market expectations from asset prices for monetary policy purposes traditionally interest rates and forward exchange rates have been used to extract expected means of future interest rates exchange rates and inflation more recently these methods have been refined to rely on implied forward interest rates so as to extract expected future time paths very recently methods have been designed to extract not only the means but the whole risk neutral probability distribution from a set of option prices

valuation of american futures options theory and empirical tests this paper reviews the theory of futures option pricing and tests the valuation principles on transaction prices from the s p 500 equity futures option market the american futures option valuation equations are shown to generate mispricing errors which are systematically related to the degree the option is in the money and to the option s time to expiration the models are also shown to generate abnormal risk adjusted rates of return after transaction costs the joint hypothesis that the american futures option pricing models are correctly specified and that the s p 500 futures option market is efficient is refuted at least for the sample period january 28 1983 through december 30 1983 futures option contracts now trade on every major futures exchange and on a wide variety of underlying futures contracts the chicago mercantile exchange the chicago board of trade the new york futures exchange and the commodity exchange now collectively have more than twenty options written on futures contracts where the underlying spot commodities are financial assets such as stock portfolios bonds notes and eurodollars foreign currencies such as west german marks swiss francs and british pounds precious metals such as gold and silver livestock commodities such as cattle and hogs and agricultural commodities such as corn and soybeans moreover new contract applications are before the commodity futures trading commission and should be actively trading in the near future with the markets for these new contingent claims becoming increasingly active it is appropriate that the fundamentals of futures option valuation be reviewed and tested black 5 provides a framework for the analysis of commodity futures options although his work is explicitly directed at pricing european options on forward contracts it applies to european futures contracts as well if the riskless rate of interest is constant during the futures option life 1 the options currently

generating options implied probability densities to understand oil market events abstract we investigate the informational content of options implied probability density functions pdfs for the future price of oil using a semiparametric variant of the methodology in breeden and litzenberger 1978 we investigate the fit and smoothness of distributions derived from alternative pdf estimation methods and develop a set of robust summary statistics using pdfs estimated around episodes of high geopolitical tensions oil supply disruptions macroeconomic data releases and shifts in opec production strategy we explore the extent to which oil price movements are expected or unexpected and whether agents believe these movements to be persistent or temporary

taxation unemployment and growth dynamic welfare effects of green policies abstract this paper analyzes the effects of environmental tax reforms on a small open economy the labor market is characterized by union wage setting the carbon tax acts as an implicit tariff which gives rise to terms of trade gains the terms of trade effect together with the union wage setting leads to a positive relationship between the capital labor ratio and net foreign wealth in the short run the disinvestments in real and financial capital give temporary room for higher consumption and instantaneous utility the long run effect on instantaneous utility is more uncertain a strong double dividend may exist

co2 stabilization may be a no regrets policy restricting co2 emissions requires changing today s consumption pattern away from energy and emission intensive commodities towards cleaner goods the cost of stabilizing co2 emissions at the 1990 level by the year 2000 say as compared to a business as usual trend is estimated by several researchers to be on the order of 1 of gnp we will argue that the cost may be overestimated because of a too simple model describing the working of the economic system and the evaluation of welfare we demonstrate that by expanding a model to include the actual tax system and negative externalities the cost to present generations from restricting emissions by a co2 tax may be negative that is some reduction may actually correspond to a no regrets policy the reasons are inefficiencies in today s tax system and non optimal handling of negative externalities our analysis suggests that a co2 tax and reduced emissions will lessen such inefficiencies

a forward looking model of the exchange rate this paper outlines a simple framework for testing some of the underlying concepts which form the basis of a number of recent models of exchange rate determination it estimates a structural exchange rate equation with explicit forward expectations using the wickens errors in variables method the paper finds a strong rejection of the simple open arbitrage model in favour of a more complex model