valuation of foreign currency options some empirical tests this paper investigates the efficiency of the market for foreign currency options with the help of a modified version of the black scholes model the evidence in the ex post tests is inconsistent with this hypothesis since we find a large number of opportunities for abnormal profits a second set of tests is conducted on an ex ante basis to determine whether these profit opportunities exist even if the execution of the strategy is delayed by one day the evidence from these tests provides more support for the hypothesis of market efficiency

impacts of opec s political risk on the international crude oil prices an empirical analysis based on the svar models abstract the impacts of opec s political risk on the fluctuations of international crude oil prices have caused widespread concern and analyzing the impacts is of great significance to the investment decisions and risk aversion strategies in the crude oil markets therefore using the international country risk guide icrg index as a proxy for the countries political risk situation we empirically investigate the impacts of opec s political risk on the brent crude oil prices based on several structural vector autoregression svar models the main empirical results indicate that 1 the political risk of opec countries does have a significant and positive influence on brent crude oil prices in the sample period from january 1998 to september 2014 and the most significant positive influences appear in about one and a half year and last about a year 2 opec s integrated political risk contributes to 17 58 of the oil price fluctuations in the sample period which is only lesser than that of the oil demand shocks 34 64 3 compared with the political risk of opec countries in north africa and south america the political risk of opec countries in the middle east contributes most to the oil price fluctuations 4 among the eight components of the political risk in opec the internal conflicts contribute most to the oil price fluctuations in the sample period

electricity liberalisation in europe how competitive will it be all the countries of western europe have taken steps to liberalise their electricity industries large consumers in every country can choose their electricity supplier and in some countries this choice has been extended to every consumer the european union has decided that from 2007 at the latest all customers will be able to choose their electricity supplier a number of large european electricity companies have been responding to this changing environment by merging with electricity companies in other countries this means that while some national markets may not look unduly concentrated concentration at the european level has been growing this paper addresses the reasons for this and asks whether the resulting industry structure will be sufficiently competitive to deliver gains from liberalisation

a study on the future of unconventional oil development under different oil price scenarios a system dynamics approach abstract fluctuations in the oil global market has been a critical topic for the world economy so that analyzing and forecasting the conventional oil production rate has been examined by many researchers thoroughly however the dynamics of the market has not been studied systematically with regard to the new emerging competitors namely unconventional oil in this paper the future trend of conventional and unconventional oil production and capacity expansion rates are analyzed using system dynamics approach to do so a supply side modeling approach is utilized while main effective loops are modeled mathematically as follows technological learning and progress long and short term profitability of oil capacity expansion and production and oil proved reserve limitations the proposed model is used to analyze conventional and unconventional oil production shares up to 2025 under different oil price scenarios the results show that conventional oil production rate ranges from 79 995 to 87 044 mb day which is 75 80 percent of total oil production rate while unconventional oil production rate ranges from 19 615 to 28 584 mb day simulation results reveal that unconventional oil can gain a considerable market share in the short run although conventional oil will remain as the major source for the market in the long run

reassessing the empirical relationship between the oil price and the dollar abstract this paper aims at reassessing the empirical relationship between the real price of oil and the u s dollar real effective exchange rate over the 1974 2015 period we find that changes in both variables are now linked by a negative relationship going from the dollar exchange rate to the real oil price however the same relationship is found positive when ending the sample in the mid 2000s in line with the previous literature to understand and investigate this evolution we rely on a nonlinear smooth transition regression model in which the oil price dollar nexus depends on the dynamics followed by the u s currency our results show that the relationship is negative most of the times but turns positive when the dollar hits very high values as in the early eighties

the effects of oil price shocks on the economies of the gulf co operation council countries nonlinear analysis abstract this paper examines the effects of oil price shocks on the real gdp of the gulf cooperation council gcc countries the empirical method used is the nonlinear cointegrating autoregressive distributed lag nardl model of shin et al 2013 in which short run and long run nonlinearities are introduced via positive and negative partial sum decompositions of the explanatory variable s the results suggest evidence of asymmetries in all the cases we find significant positive oil price changes in all the cases with the expected positive sign implying that increases in oil price lead to increases in real gdp conversely negative oil price changes are significant for only kuwait and qatar with the expected positive sign suggesting that decreases in oil price lead to decreases in their real gdp further analysis implemented using panel data shows that positive oil prices changes increase real gdp and negative changes decrease real gdp overall the results suggest that positive oil price changes have a considerably larger impact on real gdp than negative changes

lifting the us crude oil export ban a numerical partial equilibrium analysis the upheaval in global crude oil markets and the boom in shale oil production in north america brought scrutiny on the us export ban for crude oil from 1975 the ban was eventually lifted in early 2016 this paper examines the shifts of global trade flows and strategic refinery investments in a spatial game theoretic partial equilibrium model we consider detailed oil supply chain infrastructure with multiple crude oil types distinct oil products as well as specific refinery configurations and modes of transport prices quantities produced and consumed as well as infrastructure and refining capacity investments are endogenous to the model we compare two scenarios an insulated us crude oil market and a counter factual with lifted export restrictions we find a significant expansion of us sweet crude exports with the lift of the export ban in the us refinery sector more imported heavy sour crude is transformed countries importing us sweet crude gain from higher product output while avoiding costly refinery investments producers of heavy sour crude e g the middle east are incentivised to climb up the value chain to defend their market share and maintain their dominant position

does opec act as a cartel empirical investigation of coordination behavior abstract in this paper i use quarterly and monthly data from 1994 to 2014 to test if opec acts as a cartel and therefore it affects oil prices through members coordination i use engle and granger two step approach johansen cointegration test and autoregressive distributed lag ardl bounds testing approach of cointegration to examine the long run relation between opec production and each member s production as an evidence of coordination besides i apply granger causality and toda and yamamoto tests to check the direction of causality between the opec production and oil prices u k brent and dubai fateh the findings show no evidence of cointegration between the production of the members and that of opec indicating no cartel behavior exists moreover the results show that opec production does not cause oil prices rather it is the other way around

an empirical test of a valuation model for american options on futures contracts pricing models for american call and put options on futures contracts are derived herein these models are used to investigate the efficiency of the market for options on standard poor 500 and german mark futures the evidence presented here indicates that market prices for these options deviate substantially from their corresponding model prices in addition it is shown that a hedging strategy originated at prices that indicate a deviation of market from model is successful in translating the observed mispricing into excess profits after transactions costs however these net profits are eliminated if the origination of the strategy is delayed by one trade or if bid ask spreads are accounted for

quantitative effects of the shale oil revolution abstract the aim of this paper is to analyze the impact of the so called shale oil revolution on oil prices and economic growth we employ a general equilibrium model of the world oil market in which saudi arabia is the dominant firm with the rest of the producers as a competitive fringe our results suggest that most of the expected increase in us oil supply due to the shale oil revolution has already been incorporated into prices and that it will produce an additional increase of 0 2 in the gdp of oil importers in the period 2010 2018 we also employ the model to analyze the collapse in oil prices in the second half of 2014 and conclude that it was mainly due to positive unanticipated supply shocks

the early exercise of options on treasury bond futures this paper presents a test of the theory of rational option exercise exercise data from the market for options on treasury bond futures are used to test the model of rational early exercise developed by barone adesi and whaley 1987 baw the results show that the baw model underestimates the futures price that will trigger exercise for calls and overestimates this price for puts the exercise bias is observed to change across option maturities and the direction of the bias is consistent with the direction of the model pricing bias observed by whaley 1986

the political economy of opec abstract we develop a conceptual model that captures opec pricing behavior and apply it to explain the large gap observed between domestic fuel prices in opec countries and prices in the rest of the world we model opec as a cartel of nations not firms and assume that politicians use two instruments production quotas and domestic fuel consumption subsidies the cartel of nations model suggests that introduction of alternatives to petroleum products may lead opec to reduce exports and increase domestic fuel consumption the empirical analysis suggests that when opec sets production quotas it places similar weights on consumer and producer surplus but when opec countries set domestic fuel subsidies on average 6 more weight is given to consumer surplus with some of the opec countries pursuing very aggressive domestic cheap fuel policies

on valuing american futures options more than 20 different futures option contracts currently trade on u s exchanges these american options are exercisable at any time up to and including the expiration day in pricing them however investment managers have been forced to rely on principles developed for european options which may be exercised only at expiration this practice can be misleading because the early exercise privilege of american futures options has a significant effect on pricing the early exercise premium of american futures options affects two types of pricing relations the first type are those relations developed by assuming the market is free from costless arbitrage opportunities these relations are often termed rational option pricing restrictions and an important relation within this category is the put call parity relation which simultaneously links the prices of the put and the call in the futures option market with the price of the underlying futures contract the second and perhaps most important type of option pricing relations affected by early exercise are valuation equations valuation equations require an additional assumption about the futures price distribution the most commonly used assumption is a lognormal distribution the widest known model for pricing futures option contracts is the black model but it was developed for european futures options and thereby ignores the value of the early exercise feature of the american options an intuitively appealing approximation method based on the american futures option valuation equation is very accurate and computationally inexpensive

measuring price risk in rating revenue coverage bs or no bs the black scholes bs option pricing model has been a cornerstone of modern financial theories since its introduction by black and scholes 1973 and its subsequent refinement by merton 1973 the model has realized widespread adoption for a number of purposes inherent in the model are a number of assumptions an important and potentially restrictive assumption is that the underlying asset price is log normally distributed among the many diverse uses of the bs model the model and underlying theory are used to derive measurements of the variance of expected harvest time prices for use in rating revenue coverage in the federal crop insurance program revenue coverage currently accounts for about 80 of the total liability insured in the program this liability frequently exceeds 100 billion and thus the accuracy of revenue premium rates is of vital importance the use of the bs model by the risk management agency rma of the usda has been the focus of recent criticisms of the program critics have argued in favor of retrospective measures of price variability that are based on historical price movements or have recommended other approaches to measuring price risk this article reports on a contracted review of revenue insurance rating methodology commissioned by rma we evaluate a number of alternative approaches to measuring expected price variability including several approaches recommended by critics of the federal program our results suggest that the bs model is preferred to recommended alternatives on the basis of numerous criteria

efficient selection of insured currency positions protective puts vs fiduciary calls we examine the empirical results from implementation of portfolio insurance strategies employing currency spot and futures options hypotheses are generated from ogden and tucker s 1988 generalizations concerning the relative values of american spot currency options and currency futures options we find that protective puts using futures options are generally dominated by both protective puts that use options on spot currencies and by fiduciary calls on futures contracts this suggests that the prices of puts on foreign currency futures contracts are too high relative to foreign currency futures calls and to puts on spot currencies

the american put option valued analytically an analytic solution to the american put problem is derived herein the hedge ratio and other derivatives of the solution are presented the formula derived implies an exact duplicating portfolio for the american put consisting of discount bonds and stock sold short the formula is extended to consider put options on stocks paying cash dividends a polynomial expression is developed for evaluating these formulae values and hedge ratios for puts on both dividend and nondividend paying stocks are calculated tabulated and compared with values derived by numerical integration and binomial approximation as with european options evaluating an analytic formula is more efficient than approximating the stock price process or the partial differential equation by binomial or finite difference methods finally applications of this american put solution are discussed

an empirical investigation of the market for comex gold futures options option pricing models that assume a constant interest rate may misprice futures options if the interest rate fluctuates significantly or if the price of the underlying asset is correlated with the interest rate the futures option pricing model of ramaswamy and sundaresan allows for a stochastic interest rate and correlation of the underlying asset s price with the interest rate using a data set of daily closing prices for comex gold futures options this paper tests the ramaswamy and sundaresan model against a constant interest rate model results indicate that the stochastic interest rate model is a superior predictor of market prices the past several years have witnessed many innovations in contingentclaims markets the introduction of gold futures options by the commodity exchange of new york comex in october 1982 has proven particularly successful volume and open interest have been large and growing the combination of futures and futures options trading makes comex the principal market for gold in north america the existence of gold futures options represents a dual challenge to conventional option pricing models first the variability of interest rates affects futures prices and thus the value of futures options second if the price of gold is correlated with inflation or the real interest rate it will also be correlated with the nominal interest rate option pricing models that assume that the nominal rate is constant will misprice gold futures options if these factors are significant this paper tests whether market prices for gold futures options are best described by an alternative model that allows the price of gold to covary with the rate of interest section i describes comex gold contracts and notes differences between futures option contracts and stock option contracts which have been studied more extensively section ii describes the data set of market prices that has been collected and tests for violations of boundaries by the prices section iii describes and tests the competing option valuation models section iv is a summary and conclusion

efficiency tests of the foreign currency options market based on a new options transactions data base from the philadelphia stock exchange foreign currency options market this paper examines the importance of the effect of nonsynchronous prices and transaction costs on the usual option market efficiency tests the tests conducted are based on the transaction cost adjusted early exercise and put call parity pricing boundaries applicable to the american foreign currency options market the test results show that the put call parity boundary tests are sensitive to both nonsynchronous prices and transaction costs the early exercise boundary tests are sensitive to transaction costs but are not very sensitive to simultaneity of the option price and the underlying spot price under the no transaction costs scenario a large number of early exercise boundary violations is found even when simultaneous spot and option prices are used these violations disappear when actual transaction costs are taken into account

the analytic valuation of american options no analytic solutions exists for the valuation of american options written on futures contracts and foreign currencies for which early exercise may be optimal this article formulates the american option valuation problem in economically and mathematically meaningful ways this enables us to derive valuation formulas for american options the properties associated with the optimal exercise boundary are examined and a numerical technique to implement the valuation formulas is presented article published by oxford university press on behalf of the society for financial studies in its journal the review of financial studies

information time option pricing theory and empirical evidence abstract with a stochastic time change from calendar time to information time we derive a parsimonious option pricing formula with stochastic volatility as a risk neutral poisson sum of merton s 1973 prices over the option s information time maturity domain the formula contains two unobservable parameters information arrival intensity and information time asset volatility with stochastic volatility induced by random information arrival when the information arrival rate intensifies the option price increases and vice versa we test the formula in pricing hedging and excess profits capture empirically using currency and the s p 500 futures options transaction data

effect of stopping hydroelectric power generation on the dynamics of electricity prices an event study approach abstract supply shocks in electricity markets that disrupt energy production cause unexpected spikes in prices which in turn have economic consequences such as higher risk and therefore higher costs and losses for producers and consumers of electricity one relevant shock in this sector is the halting of hydroelectric power generation due to the freezing of water reservoirs after the temperature drops below zero degrees celsius and therefore less efficient technologies such as thermal plants must begin to produce electricity using an event study approach this shock in the nord pool market is explicitly identified and the economic importance of expanding the interconnected market and the inclusion of more renewable sources in the generation mix of the system to smooth out price spikes is quantified when a freezing event occurs it is found that the average electricity prices increase between 1 and 6 and that the negative relationship between temperature and prices also increases for each degree that the temperature decreases prices increase between 1 and 3 however as expected these changes are more pronounced in countries that are most dependent on hydropower generation by identifying this supply shock relevant insights are presented for market players such as policy makers investors and consumers and producers whose decisions are influenced by the effect of temperature particularly when it causes the stopping of hydroelectric plants

trader rationality in the exercise of futures options abstract we examine the rationality of investor exercise behavior by analyzing two years tendered exercise notices for treasury bond futures options we conclude that exercise behavior is generally rational but document numerous failures to exercise as well as some exercises that should not have occured both at and prior to expiration the most frequent type of error is failing to exercise suggesting that traders do not monitor their positions with sufficient care finally we show that investors use information arriving after trading closes but before exchange imposed exercise deadlines in forming their exercise decisions

hedging the risks from writing foreign currency options abstract this paper considers the ways in which banks and other financial institutions can hedge their risks when they write non exchange traded foreign currency options key factors affecting the performance of delta hedging are identified and hedging schemes involving the use of exchange traded options are analyzed the schemes are tested using both simulated data and data from trades on the philadelphia exchange between february 1983 and september 1984

the pricing of stock index options in a general equilibrium model this paper analyzes the pricing of stock index options in a simple general equilibrium model in this model the volatility of the stock index and the spot rate of interest are functions of a stochastic variable the paper investigates the biases that arise when using the black scholes model with the assumed volatility and interest rate dynamics it is shown that the model can in principle explain the biases observed in empirical work on stock index options

arbitrage tests of the efficiency of the foreign currency options market in this paper the lower boundary excercise price and put call parity conditions for foreign currency options are subjected to empirical testing the tests are directed towards the examination of the hypothesis that the foreign currency option market is efficient the evidence in the ex post tests is inconsistent with this hypothesis since a large number of violations of theoretical conditions are found in the data

implied volatility functions in arbitrage free term structure models abstract we test six term structure models in the heath jarrow and morton 1992 class using eurodollar futures and options data from 1987 1992 we study the time series of implied interest rate volatilities from these models using one day lagged implied volatilities our one and two parameter models simultaneously price an average of 18 5 options each day with an average absolute error of one and a half to two basis points although the models fit well we document systematic strike price and time to maturity biases for all models we also implement simple trading strategies to test whether the models identify genuine biases

the oil price crash in 2014 15 was there a negative financial bubble abstract this paper suggests that there was a negative bubble in oil prices in 2014 15 which decreased them beyond the level justified by economic fundamentals this proposition is corroborated by two sets of bubble detection strategies the first set consists of tests for financial bubbles while the second set consists of the log periodic power law lppl model for negative financial bubbles despite the methodological differences between these detection methods they provided the same outcome the oil price experienced a statistically significant negative financial bubble in the last months of 2014 and at the beginning of 2015 these results also hold after several robustness checks which consider the effect of conditional heteroskedasticity model set ups with additional restrictions longer data samples tests with lower frequency data and with an alternative proxy variable to measure the fundamental value of oil

the shift in global crude oil market structure a model based analysis of the period 2013 2017 abstract this paper analyzes the recent developments in the global oil market investigating how the 2014 2016 price collapse and the following opec agreement affected the crude oil market structure and the behavior of major suppliers to this end we develop a partial equilibrium model with a spatial structure for the global crude oil market and simulate the market for the period between 2013 and 2017 under different market structure setups the simulation results reveal that although the oligopolistic market structures fit overall well to the realized market outcomes they are not successful at explaining the low prices during 2015 and 2016 which instead are closer to estimated competitive levels we further suggest that from 2014 onward the market power potential of major suppliers has shrunk considerably supporting the view that the market has become more competitive we also analyze the saudi arabia and russia led opec agreement and find that planned production cuts in 2017 particularly of saudi arabia and russia were below the levels of estimated non competitive market structure setups

a nonlinear factor analysis of s p 500 index option returns growing evidence suggests that extraordinary average returns may be obtained by trading equity index options and that at least part of this abnormal performance is attributable to volatility and jump risk premia this paper asks whether such priced risk factors are alone sufficient to explain these average returns to provide an answer in as general as possible a setting i estimate a flexible class of nonlinear models using all s p 500 index futures options traded between 1986 and 2000 the results show that priced factors contribute to these expected returns but are insufficient to explain their magnitudes particularly for short term out of the money puts in a recent paper c oval and shumway 2001 examine the returns on deltahedged option positions focusing on the at the money straddle and find average returns close to minus 3 per week since over short time horizons these positions are approximately invariant to movements in the underlying index coval and shumway argue that their capm betas should be near zero and their expected returns close to the risk free rate they conclude that large deviations from the capm are the norm which they suggest is evidence that some other systematic factor such as stochastic volatility might be priced by the market similar conclusions are made by jackwerth 2000 who finds risk adjusted profitability from selling puts and by bakshi and kapadia 2003 who find that the volatility risk premium contributes significantly to higher prices for calls and puts buraschi and jackwerth 2001 concur suggesting that more than one priced risk factor is necessary to explain option prices a less direct set of evidence is the now standard observation that the black scholes implied volatilities of equity index options are upward biased predictors of future realized volatility numerous studies such as fleming ostdiek and whaley 1995 and christensen and prabhala 1998 document that implied volatilities of short term at the money equity index options are on average several percentage points higher than the volatilities realized over the option s

the pricing of dollar denominated yen dm warrants abstract this paper investigates the pricing of dollar denominated cross currency warrants options traded in us markets in a black scholes setting we obtain closed form option pricing formulas for european warrants we describe the intuition behind the differences in the properties of these securities versus standard foreign currency options concentrating on parameter sensitivity as well as hedging aspects we show that us cross currency warrants can be hedged using three underlying assets although the fundamental pde involves only one asset this analytical framework is applied to observed prices for at t s nyse traded us yen dm cross currency warrant we examine and attempt to explain the deviations between model and observed prices uncovered by the empirical work we find evidence of misspecification in standard currency option pricing models jel f31

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

predicting volatility in the foreign exchange market measures of volatility implied in option prices are widely believed to be the best available volatility forecasts in this article we examine the information content and predictive power of implied standard deviations isds derived from chicago mercantile exchange options on foreign currency futures the article finds that statistical time series models even when given the advantage of ex post parameter estimates are outperformed by isds isds however also appear to be biased volatility forecasts using simulations to investigate the robustness of these results the article finds that measurement errors and statistical problems can substantially distort inferences even accounting for these however isds appear to be too variable relative to future volatility it is widely believed that the volatility implied in option prices is the market s best estimate of future volatility after all if it were not one could devise a trading strategy that could generate profits by identifying mispriced options the purpose of this article is to investigate the information content and predictive power of volatility implied in options on foreign currencies the paper focuses on options on currency futures traded on the chicago mercantile exchange cme because of the depth and liquidity of cme futures and options traded side by side in the same market implied standard deviations isds allow for clean tests of the predictive power of implied volatilities early studies of the information content of isds have generally found that these contain substantial information for future volatility latane and rendleman 1976 chiras and manaster 1978 and beckers 1981 for example regress future volatility on the weighted implied volatility across a broad sample of chicago board options exchange cboe stocks and find that options contain volatility forecasts that are more accurate than historical measures 1 these studies performed shortly after the 1973 beginning of the cboe option market could only use a relatively short time span and therefore focused on cross sections rather than time series predictions

suckers are born but markets are made individual rationality arbitrage and market efficiency on an electronic futures market the iowa electronic markets are specially designed futures markets that appear to aggregate information efficiently to predict events such as election outcomes yet in theory perfect information aggregation is impossible further the markets are populated by a nonrepresentative sample of mistake prone and biased traders that is traders are prone to the behavioral anomalies predicted by behavioral finance how can this be reconciled with market efficiency here we take a first step by analyzing the behavior of two self selected types of traders dramatic differences in mistake rates across traders can help us answer the question market making traders who set prices are less mistake prone and appear to be more rational than price taking traders this highlights an important feature of markets marginal in this case market making not average traders set prices this can drive the efficiency of market prices in spite of large numbers of traders who display patently suboptimal behavior

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

the pricing of options on default free bonds recent developments in the finance literature dealing with the valuation of contingent claims have been triggered by black and scholes 2 with their valuation of european options on corporate stocks the type of valuation model derived by black and scholes is attractive because it is independent of preferences this independence is possible due to the fact that the contingent claims are usually assumed to be contingent on traded assets or traded state variables for example a european call option is a claim contingent on the value of the corresponding stock to maintain the independence of the claim from preferences however some variables have to be discarded and considered as constants for example the rate of interest which is not a traded state variable is considered a constant in most of the literature see black and scholes 2 merton 11 and ingersoll 9 though this approximation might not cause important discrepancies in the case of corporate liabilities and options on corporate liabilities the effect of such an approximation on the value of default free bonds and options on default free bonds is more important since these liabilities depend only on the rate of interest

third degree stochastic dominance here f x and g x are less than cumulative probability distributionis where x is a continuous or discrete random variable representing the outcome of a prospect the closed interval a b is the sample space of both prospects the integral shown in rule 2 and those shown throughout the paper are stieltjes integrals recall that the stieltjes integral fb f x dg x exists if one of the functions f and g is continuous and the other has finite variation in a b let d1 d2 and d3 be three sets of utility functions x d1 is the set containing all utility functions with 4 x and 1 x continuous and 41 x 0 for all xe a b d2 is the set with x 1 x 2 x continuous and q j x 0 02 x o for all xc a b d3 is the set with x 1 x 2 x 3 x continuous and 1 x 04 2 x o o for all xc a b here 1 x denotes the ith derivative of x hadar and russell proved that rule 1 is valid for all cd1 and rutle 2 is valid for all ed2 the authors point out that the set of probability distributions that can be ordered by means of second degree stochastic dominance is in general larger than that which can be ordered by means of first degree stochastic dominance note that in rule 2 they assume that x is not only an increasing function of x but also exhibits weak global risk aversion a condition guaranteed by requiring the second derivative of x to be nonpositive in this paper a condition which will be called third degree stochastic dominance is considered it is based on the following assumption about the form of the utility function x from a normative point of view one expects the risk premium associated with an uncertain prospect to become smaller the greater is the individual s wealth the plausibility and implications of this assumption h ave been explored by john pratt as well as others the risk premium of an uncertain prospect is that amount by which the certainty equivalent of the prospect differs from its expected value in mathematical terms given the prospect f x with expected value a the corresponding risk premium t is obtained by solving the following equation rb

the emperor has no clothes the limits of opec in the global oil market most scholars and policymakers believe opec can and does influence the price of oil by acting as a cartel this paper argues that most of the conventional wisdom about opec is wrong opec rarely if ever influences the oil production rate in its member states further opec has almost no lasting impact on world prices except under rare conditions there was one occasion on which opec did have a significant impact on world oil prices namely the 1973 oil crisis but opec s role in the event has been greatly misunderstood the circumstances of the crisis were highly exceptional making it unlikely that the organization could ever have a similar impact on world oil prices again this paper seeks to correct the misunderstanding about opec s role and replace it with a better understanding of the organization i argue that opec is dysfunctional as a cartel as it has little or no causal impact on its members choices about production levels or investment in production capacity opec s role is obscured in part by the complexity of the world oil market and in part by misdirection by policymakers especially within opec many scholars especially economists have argued that opec should be understood as a cartel designed to solve a prisoner s dilemma pd coordination game yet opec s persistence is better understood as a widespread failure to update beliefs about the organization a failure that is driven by information asymmetry and politics the fact that such a widespread belief about the world s most important commodity market could be wrong can help us better understand international regimes

economic effects by merger and acquisition types in the renewable energy sector an event study approach abstract this study classifies the types of mergers and acquisitions m a carried out in the renewable energy industry and explores their effects on enterprise value both the generalized autoregressive conditional heteroskedasticity and the ordinary least squares methodologies are used in an event study in order to improve the reliability of the presented analysis in order to understand how m a type affects enterprise value depending on the inter relationship between the acquirer and target business m a cases are divided into four groups homogeneous heterogeneous renewable heterogeneous energy and heterogeneous other from this analysis four implications can be drawn first homogeneous m a shows the biggest effect on enterprise value indicating that operating synergy and increasing market power are important factors when renewable energy firms undertake m a second m a with other industries of which financing companies take part in most show the second largest effect on enterprise value meaning that renewable energy is considered to have potential as an investment product further in the analysis of the wind power industry the result that heterogeneous other m a shows an even greater effect suggests that wind power is deemed to have a high potential for growth as an industry for investment lastly renewable energy m a in existing energy industries have negative effects on enterprise value indicating that strict regulations on the use of clean energy such as renewable energy result in energy companies incurring considerable costs

opec saudi arabia and the shale revolution insights from equilibrium modelling and oil politics why did opec not cut oil production in the wake of 2014 s price fall this study aims at aiding the mostly qualitative discussion with quantitative evidence from computing quarterly partial market equilibria q4 2011 q4 2015 under present short term profit maximisation and different competition setups although the model performs reasonably well in explaining pre 2014 prices all setups fail to capture low prices which fall even beyond perfect competition outcomes this result is robust with respect to large variations in cost parameters rejecting present short term profit maximisation as well as a qualitative discussion of saudi arabian politics and the shale oil revolution lead to the conclusion that the price drop of 2014 16 was most plausibly the result of an attempt to defend market shares and to test for shale oil resilience besides being fuelled by other factors such as rising competitiveness of alternative technologies although shale oil might have increased competition permanently as supported by model results the agreement of december 2016 should not be misunderstood as an opec defeat

production costs of global conventional and unconventional petroleum abstract concerns about the costs of developing oil and gas from conventional and unconventional formations have led many commentators to assume that increasing prices are in the offing and may be a limiting factor for economic growth historically production costs have fluctuated as influenced by the cost increasing effects of depletion versus the cost reducing effects of technological progress this paper aims to review several methods for assessing current and long term costs despite the uncertainty of such estimation evidence shows that production costs in the foreseeable future might not increase dramatically and actually could decrease as petroleum development methods improve and additional supplies come online recent examples include the commercially viable production of unconventional oil and gas resources that has kept energy prices contained

opec vs us shale analyzing the shift to a market share strategy abstract in november 2014 opec announced a new strategy geared towards improving its market share oil market analysts interpreted this as an attempt to squeeze higher cost producers notably us shale oil out of the market over the next year crude oil prices crashed with large repercussions for the global economy we present a simple equilibrium model that explains the fundamental market factors that can rationalize such a regime switch by opec i the growth of us shale oil production ii the slowdown of global oil demand iii reduced cohesiveness of the opec cartel and iv production ramp ups in other non opec countries while v reductions in us shale costs act against these factors we show that these qualitative predictions are broadly consistent with oil market developments during 2014 2015 the model is calibrated to oil market data it predicts accommodation up to 2014 and a market share strategy thereafter and explains large oil price swings as well as realistically high levels of opec output

testing for the cartel in opec non cooperative collusion or just non cooperative this paper extends the framework of green and porter 1984 and porter 1983a to encompass the case of a cartel opec faced by a competitive fringe non opec oil producers estimation of a simultaneous equation switching regression model allows us to examine which market structure better characterizes the world oil market during the 1974 2004 period and to test whether switches between collusive and non cooperative behaviour occurred the null hypothesis that no switch occurred is rejected in favour of the alternative that both cooperative and non cooperative behaviour was observed we find that although there were periods in which oil prices were measurably higher owing to collusion among opec members overall opec has not been effective in systematically raising prices above cournot competition levels our results suggest that on average over the period of study opec s behaviour is best described as cournot competition in the face of a competitive fringe constituted by non opec producers

valuation of american options on foreign currency abstract pricing models for american call and put options on foreign currency are derived herein these models are used to investigate the efficiency of the market for foreign currency options the evidence presented here indicates that market prices for these options deviate substantially from their corresponding model prices in addition it is shown that a hedging strategy executed at transaction prices can be used to translate an observed deviation of market from model prices into positive excess profits however these profits are eliminated if the strategy is executed at bid and offer prices

a dynamic network analysis of the world oil market analysis of opec and non opec members abstract we characterize the dynamic network structure of major oil producing countries we examine the oil production coordination of 13 organization of the petroleum exporting countries opec and 17 non opec members we construct the dynamic network structure using the network connectedness measure of diebold and yilmaz 2009 we investigate the structural changes in connectedness of opec and non opec members additionally we study how the influence of opec members non opec countries and major oil producers evolve we find that the network structure of major oil producing countries changes significantly over time specifically the impact of changes in oil production of all opec members on global oil production declines whereas the impact of non opec on global oil production increases opec s increase decisions have a significant and positive impact on opec and non opec coordination however cut decisions do not affect coordination we find that opec countries and developing countries have significantly higher levels of connectedness additionally countries with high oil production levels have significantly more influence the empirical results provide intuition about the recent developments in global oil production

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

heterogeneous effects of regulation on the efficiency of the electricity industry across european union countries abstract this paper focuses on the relationship between the stringency of regulation oecd indicators and total factor productivity tfp growth in the electricity sectors of 19 european union countries for the period 1994 2007 both the oecd regulatory indicator and the tfp growth index have been decomposed in order to bring to light a complex picture of interrelations in which the negative impact of the overall regulation on productivity is the result of opposite forces estimation results tell us that only the stringency of entry regulation significantly reduces technological change whereas vertical integration exhibits a negative and significant impact only on the catching up process pure efficiency change lastly we found an interesting result concerning the explanatory variables of the scale efficiency change in this case only public ownership matters in other terms high levels of public in the structure ownership of electric companies guarantee improvements in reaching the optimal scale of production these heterogeneous effects are also confirmed when we use a different measure of efficiency that is the distance of the actual from the optimal reserve margin

eu emission allowances and the stock market evidence from the electricity industry this paper constitutes to our best knowledge the first econometric analysis on stock market effects of the eu emission trading scheme eu ets our results suggest that eu emission allowance eua price developments matter to the stock performance of electricity firms eua price changes and stock returns of the most important european electricity corporations are shown to be positively related this effect does not work asymmetrically so that stock markets do not seem to react differently to eua appreciations in comparison to depreciations the carbon market effect is shown to be both time and country specific it is particularly strong for the period of eua market shock in early 2006 and differs with respect to the countries where the electricity corporations analysed are headquartered stock market reactions to eua volatility could not be shown

an empirical examination of the pricing of american put options this study is an ex post performance test comparing the accuracy of an american model to a european model for valuing listed options specifically the geske and johnson american put valuation model is compared with the black and scholes european put model on average both models undervalue relative to market prices put options however the geske and johnson model values are significantly closer to market prices than are the black and scholes values

competition effects of mergers an event study of the german electricity market abstract this paper investigates the competition effects of the entry of vattenfall into the german electricity market while the competition authorities supported the entry by approving vattenfall s acquisition of three regional utilities other market participants raised concerns over the emergence of an upcoming oligopoly in the german market for power generation we contrast the efficiency hypothesis postulating pro competitive effects of mergers with the market power hypothesis postulating anti competitive effects for the analysis of the two opposing hypotheses we use an event study approach to the stock prices of vattenfall s competitors in the german market while we find no empirical evidence for increased market power in the german electricity market due to vattenfall s mergers there is some indication for efficiency increases we therefore cannot oppose the view of the competition authorities predicting an overall positive effect for consumers as a result of vattenfall s entry into the german electricity market

time and frequency connectedness among oil shocks electricity and clean energy markets abstract this paper examines the time and frequency connectedness among electricity carbon and clean energy markets and oil price demand and supply shocks in doing so we use the spillover method proposed by diebold and yilmaz 2012 and its extension in the frequency domain by barunik and k ehlik 2018 we find increased connectedness during the global financial crisis as well as in the shale oil revolution period the total connectedness is also higher in the short run compared to the long run due to their low connectedness electricity futures can act as a risk diversifier and safe haven asset against oil shocks net pairwise directional connectedness among oil shocks and the clean energy index is higher during the shale oil revolution these results have important implications for investors with different investment time horizons

the pricing of call and put options on foreign exchange this paper derives pricing equations for european puts and calls on foreign exchange the call and put pricing formulas are unlike the black scholes equations for stock options in that there are two relevant interest rates interest rates are stochastic and boundary constraints differ in addition it is shown that both american call and put options have values larger than their european counterparts

tests of an american option pricing model on the foreign currency options market this paper tests the ability of the american option pricing model proposed by parkinson 18 or mason 14 to explain the pricing of the foreign currency options traded on the philadelphia stock exchange from february 28 1983 to march 26 1985 we find that the model underprices out of the money options relative to at the money and in the money options this relative underpricing is driven by an underpricing of out of the money call options of short maturity in addition the degree of relative mispricing for most categories of options is shown to be a decreasing function of the time to maturity of the options longer maturity options appear to trade at similar levels of implied volatility whether they are in at or out of the money most of these biases appear consistent with the fact that the underlying spot currency rate follows a mixed jump diffusion process as described in 17

do opec announcements influence oil prices abstract this paper investigates the effect of opec production decisions increase cut maintain on both wti and brent crude oil prices between q1 1991 and q1 2015 by employing the event study methodology and by using two indices as benchmarks bci and s p gsci we employ an egarch model to take into account the high volatility of oil prices and some stylized facts characterizing this volatility we find that the impact of opec s announcements on oil prices i evolves over time and among decisions ii is more significant for production cut and maintain iii is different for wti and brent prices and iv is sensitive to the benchmark index moreover opec s decisions depend on the exploration and extraction cost of more expensive unconventional oil resources

the dynamics of the revenue maximization market share trade off saudi arabia s oil policy in the 2014 15 price fall given its highly undiversified economic base maximizing revenues will always rank highly in saudi arabia s output decision however this objective needs to be balanced against another maintaining its share in key markets and maximizing long term revenue given the massive size of saudi arabia s reserves the trade off between these two objectives tends to change over time depending on market conditions the nature of the shock and the behaviour of other producers saudi arabia s oil policy is hence not constant we argue that the advent of us shale has made the calculus of the trade off more uncertain complicating saudi arabia s output decision using a simple game we show that under uncertainty it is always safer for the kingdom to assume that the shale oil supply is highly elastic and thus decide not to cut output but as saudi arabia learns more about this new source of supply its policy could adapt accordingly the fact that saudi arabia s oil policy could change as the trade off between revenue maximization and market share evolves and as new information to the market arrives will keep the market second guessing and will continue to shape market expectations and to influence market outcomes jel q48 government policy d43 oligopoly and other forms of market imperfection q41 demand and supply prices d81 criteria for decision making under risk and uncertainty q02 commodity markets

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

opec and venezuelan oil production evidence against a cartel hypothesis abstract this study revisits the opec cartel hypothesis using a case study a test is conducted to see if venezuela has its production granger cause its opec quota or whether the opec quota for venezuela granger causes venezuelan production the results show both occur at different times in the short run opec s oil production quota for venezuela granger causes venezuelan production however shortly after cuts venezuela cheats on agreements suggesting a tit for tat oligopoly game which is not anti competitive in the long run we show that venezuelan oil production granger causes opec s quota for venezuela but not vice versa having venezuelan oil production granger cause opec quotas for venezuela in the long run suggests opec does not coordinate outputs as much as it reacts to them the evidence suggests venezuela is not a part of an opec anti competitive syndicate even though we show that venezuelan oil production is low an alternative explanation for why venezuela and possibly other opec members have low oil production outputs is that institutions and risk aversion not cartel participation is the cause a vector error correction model shows that there is no tendency for venezuelan oil production to converge to opec s quota for venezuela

the relative valuation of american currency spot and futures options theory and empirical tests this study empirically tests contingent claims pricing models for american currency spot and futures options numerical analysis indicates that the difference in the model prices of spot and futures put call options with the same exercise price and maturity is for a premium discount currency positive and an increasing function of a the absolute dif ference in the prices of the underlying spot and futures contracts and b the maturity of the options tests on british pound deutsche mark and swiss franc options indicate many violations ofthe ordinal pricing relationships noted above additional tests indicate that option prices are inconsistent with functional relationship b above most of the ob served violations are sufficiently large to provide arbitrage profits net of transaction costs assuming interest rates are constant and the interest rate parity theorem holds continu ously alternatively both the violations and the inconsistent functional relationship may be due to violation of the assumption of constant interest rates

the effects of domestic and foreign yield curves on the value of currency american call options this paper examines the sensitivity of the values of foreign currency american call options to the domestic and foreign term structures of interest rates pricing performances of currency option models are compared with and without the term structure effects it is shown that there exist significant pricing biases if flat yield curves are assumed and that different shapes of domestic and foreign yield curves can have major impacts on currency option prices

on valuing american call options with the black scholes european formula empirical papers on option pricing have uncovered systematic differences between market prices and values produced by the black scholes european formula such biases have been found related to the exercise price the time to maturity and the variance we argue here that the american option variant of the black scholes formula has the potential to explain the first two biases and may partly explain the third it can also be used to understand the empirical finding that the striking price bias reverses itself in different sample periods the expected form of the striking price bias is explained in detail and is shown to be closely related to past empirical findings the black scholes european option pricing model tends to exhibit systematic empirical biases when used to value american call options the reported biases

using implied volatility on options to measure the relation between asset returns and variability abstract prior research has documented that volatility in financial asset markets is most directly related to trading rather than calendar days and that there is an inverse asymmetric relation between volatility and returns in both stocks and long term bonds we examine these relations in 37 futures options markets representing a wide variety of asset types using futures prices and implied volatilities from this extensive array of markets we confirm that in all of them save one market volatility is more directly related to trading days however the nature of the association between implied volatility and underlying asset returns varies greatly across asset categories and across exchanges thus we show that findings from equity markets apparently are not generalizable to other asset classes

opec and world oil security abstract on the margin the effectiveness of policy to enhance the stability of world oil market oil conditions greatly depends on which countries supply what economists would call the marginal barrels that is the barrels whose production responds to changes in demand if the countries dominating the production of the marginal barrels are relatively unstable policies to reduce world oil consumption or boost oil production from stable suppliers will provide the additional benefit of reducing the contribution of unstable producers to the world oil market if the countries dominating the marginal barrel are relatively stable however policies to reduce world oil consumption or boost oil production from stable suppliers will be less effective in promoting oil market stability typically we think of the highest cost producers as supplying the marginal barrel of oil but our assessment finds it quite likely that opec dominates production of the marginal barrel of world oil moreover opec members have been among the more unstable producers on a historical basis hence reducing world oil consumption and promoting oil production in stable non opec countries will enhance world oil security policies to promote stability in opec countries also would enhance world oil security

options on stock indices and options on futures abstract this paper analyzes and compares the valuation of stock index options and stock index futures options the early exercise privilege plays a central role in explaining the differences between the values of the two options it is shown that the difference in value depends on the differences between the dividend yield and interest rates using numerical procedures we compute the options values and find that the difference in values is larger for longer maturities and in the money options

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

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

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

standard deviations implied in option prices as predictors of future stock price variability abstract standard deviations implied in option prices have recently been introduced as being better than average predictors of future stock price variability this article specifically studies the predictive ability of implicit standard deviations taking into account the dividend problem and the problem of optimal weighting schemes of the standard deviations when there are several options on the same stock transaction data information was used to study the importance of non simultaneities in observing stock and option prices

the 2014 oil bust causes and consequences abstract this article suggests that the 2014 oil price collapse was possibly triggered by the falling euro versus the us dollar specifically the usd eur exchange rate likely adjusted to the sudden economic growth outlook divergence between the us and the eu as evident by the relative short term interest rate spread measures and triggered a strong dollar trade which is negative for the crude oil prices thus in our view the 2014 oil price bust is another episode of oil price inefficiency similar to the 2008 oil bubble the key argument presented in this article is that as long as there are temporary economic growth divergences between the us and the eu the resulting exchange rate volatility is likely to create the pricing inefficiencies in crude oil which in fact are mean reverting as the economic growth divergences eventually dissipate

event studies in economics and finance the event study is an important research tool in economics and finance the goal of an event study is to measure the effects of an economic event on the value of firms event study methods exploit the fact that given rationality in the marketplace the effects of an event will be reflected immediately in security prices thus the impact can be measured by examining security prices surrounding the event in this paper event study methods are described including some of the potential complications an example is included to illustrate the approach

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

imperfect cartelization in opec a model of global oil production is applied to study cartelization by opec countries we define a measure for the degree of cooperation analogous to the market conduct parameter of cyert et al 1973 geroski et al 1987 lofaro 1999 and symeonidis 2000 this parameter is used to assess the incentives of different opec members to collude we find that heterogeneity in opec and the supplies of the non opec fringe create strong incentives against collusion more specifically opec s supply strategy although observed to be substantially more restrictive than that of a cournot nash oligopoly is found to still be more accommodative than that of a perfect cartel the strategy involves allocating larger than proportionate quotas to smaller and relatively costlier producers as if to bribe their participation in the cartel this is in contrast to predictions of the standard cartel model that such producers should be allocated relatively more stringent quotas furthermore we demonstrate that cartel collusion is more likely to be sustained for elastic than for inelastic demand since global oil demand is well known to be inelastic this observation provides another structural explanation for why opec behavior is inconsistent with that of a perfect cartel our study points to multiple headwinds that limit opec s ability to mark up the oil price 2016 elsevier b v

valuation of american call options on dividend paying stocks empirical tests abstract this paper examines the pricing performance of the valuation equation for american call options on stocks with known dividends and compares it with two suggested approximation methods the approximation obtained by substituting the stock price net of the present value of the escrowed dividends into the black scholes model is shown to induce spurious correlation between prediction error and 1 the standard deviation of stock return 2 the degree to which the option is in the money or out of the money 3 the probability of early exercise 4 the time to expiration of the option and 5 the dividend yield of the stock a new method of examining option market efficiency is developed and tested

the valuation of options on futures contracts rational restrictions are derived for the values of american options on futures contracts for these options the optimal policy in general involves premature exercise a model is developed for valuing options on futures contracts in a constant interest rate setting despite the fact that premature exercise may be optimal the value of this american feature appears to be small and a european formula due to black serves as a useful approximation finally a model is developed to value these options in a world with stochastic interest rates it is shown that the pricing errors caused by ignoring the location of the interest rate relative to its long run mean range from 5 to 7 when the current rate is 200 basis points from its long run value the role of interest rate expectations is therefore crucial to the valuation optimal exercise policies are found from numerical methods for both models in recent years there has been a steady growth in the number of financial assets which one might properly call derivative assets that are available for trading on the organized exchanges among these the most recent and notable are options contracts written on available futures contracts options are now traded on the futures contracts on stock market indexes on the futures contracts on treasury instruments on the futures contracts on foreign exchange rates and on the futures contracts on some metals in design these options contracts do not differ substantially from the well known options contracts on common stock except that the underlying asset is a futures contract the received theory of the valuation of these options suggests that such contracts provide a direct vehicle for investors to alter the terminal payoffs on their portfolios to a desired distribution in the absence of these contracts investors would be forced to pursue a dynamic portfolio policy at the expense of considerable transactions in order to achieve a similar distribution indeed the availability of put options on the futures contracts on stock market indexes now enables well diversified investors to purchase portfolio insurance in his seminal work black 1 provided a complete description of forward and futures contracts as well as the description and valuation of european options on forward contracts and on spot commodities breeden 3 has examined the use of commodity options in a theoretical framework and courtadon 6 has studied the valuation of options on treasury bond futures french 13 cox