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

collusion via signalling in simultaneous ascending bid auctions with heterogeneous objects with and without complementarities collusive equilibria exist in simultaneous ascending bid auctions with multiple objects even with large complementarities in the buyers utility functions the bidders collude by dividing the objects among themselves while keeping the prices low in the most collusive equilibrium the complementarities are never realized the scope for collusion however narrows as the ratio between the number of bidders and the number of objects increases

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

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

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

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

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

collusion in second price auctions with heterogeneous bidders abstract we show that efficient collusion by any subset of bidders in second price private value auctions is possible even when the bidders are heterogeneous an important property of efficient collusion is that a bidder s net payoff from participating in collusion is independent of her valuation we show that the cooperative game whose characteristic function evaluated at a coalition is the ex ante collusive surplus of that coalition has a nonempty core a feature of more technical interest is the mechanism characterization when the private information of agents does not enter in a linear or even piecewise linear manner

collusive bidder behavior at single object second price and english auctions models of collusive bidder behavior at single object second price and english auctions are provided the ind ependent private values model is generalized to permit the formulatio n of coalitions and a strategic response by the auctioneer cooperati ve strategies are found to be dominant in these models coalitions of any size are viable and the payoff to each member increases with th e size of the coalition in addition the collusive strategies of the coalition represent a noncooperative equilibrium the optimal respon se of the auctioneer is to establish a reserve price that is a functi on of the coalition s size these and other features of the model are found to be consistent with the essential features of actual behavio r copyright 1987 by university of chicago press

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

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

mechanism design by an informed principal private values with transferable utility we provide a solution to the informed principal problem in the independent private values setting with monetary transfers the principal s private information creates signaling considerations that may distort the implemented allocation we show that there is no distortion all principal types implement an allocation that is optimal for the principal ex ante before he she learns his her type as an application we consider settings with linear utility for bilateral exchange in which the principal is one of the traders the solution is a combination of a participation fee a buy out option for the principal and a resale stage with posted prices

all equilibria of the vickrey auction abstract this paper characterizes the set of nash equilibria in the second price sealed bid auction with independent private values and three or more bidders in addition we show that any effective reserve price implies uniqueness

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

innovation under regulatory uncertainty evidence from medical technology abstract this paper explores how the regulatory approval process affects innovation incentives in medical technologies prior studies have found early mover regulatory advantages for drugs i find the opposite for medical devices where pioneer entrants spend 34 7 2months longer than follow on entrants in regulatory approval back of the envelope calculations suggest that the cost of a delay of this length is upwards of 7 of the total cost of bringing a new high risk device to market considering potential explanations i find that approval times are largely unrelated to technological novelty but are meaningfully reduced by the publication of objective regulatory guidelines finally i consider how the regulatory process affects small firms market entry patterns and find that small firms are less likely to be pioneers in new device markets a fact consistent with relatively higher costs of doing so for more financially constrained firms

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

do firms underinvest in long term research evidence from cancer clinical trials we investigate whether private research investments are distorted away from long term projects our theoretical model highlights two potential sources of this distortion short termism and the fixed patent term our empirical context is cancer research where clinical trials and hence project durations are shorter for late stage cancer treatments relative to early stage treatments or cancer prevention using newly constructed data we document several sources of evidence that together show private research investments are distorted away from long term projects the value of life years at stake appears large we analyze three potential policy responses surrogate non mortality clinical trial endpoints targeted r d subsidies and patent design jel d92 g31 i11 l65 o31 o34

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

weak cartels and collusion proof auctions abstract we study private value auctions in which bidders may collude without using side payments in our model bidders coordinate their actions to achieve an outcome that interim pareto dominates the noncooperative outcome we characterize auctions that are collusion proof in the sense that no such coordination opportunities exist and show that the efficient and revenue maximizing auctions are not collusion proof unless all bidders exhibit a concave distribution of valuations we then solve for revenue maximizing collusion proof auctions if distributions of valuations are symmetric and single peaked the optimal selling mechanism is a standard auction with a minimum bid followed by sequential negotiation in case no bidder bids above the minimum bid

horizontal mergers with synergies cash vs profit share auctions we consider takeover bidding in a cournot oligopoly when firms have private information concerning the synergy effect of merging with a takeover target and bidders can influence rivals beliefs through their bids we compare cash and profit share auctions first and second price supplemented by entry fees since non merged firms benefit from a merger if synergies are low bidders are subject to a positive externality with positive probability nevertheless pooling does not occur unlike cash auctions profit share auctions are not revenue equivalent and the second price profit share auction is more profitable than the other auctions

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

speculation and demand reduction in english clock auctions with resale many auctions are followed by a resale market which occurs when the winner of the auction resells the item won to one of the participants from the original auction the existence of such transactions may initially appear counter intuitive however this paper will show that active inter bidder resale results from payoff maximizing decisions in the auction that take into account the incentives of a resale opportunity specifically i examine how the existence of an inter bidder resale opportunity impacts bidder behavior in an english clock auction and to what extent altering the bargaining power of the final buyer and reseller in the resale market determines the strategies followed in the initial auction in an attempt to understand the existence of these inter bidder transactions theoretical and behavioral analysis is used to develop hypotheses of speculation bidding above value and demand reduction bidding below value which are directly tested in a controlled experimental setting while value bidding is a dominant strategy in a standard english clock auction without resale when resale is allowed this theoretical claim is weaker demand reduction is observed when the bargaining power is shifted to the final buyer in resale and when the bargaining power is shifted toward the reseller speculation is observed the revenue achieved in the initial auction depends on the behavior observed in the auction regardless of bargaining power revenue is shown to decrease below what would have been earned in an english auction without resale due to demand reduction when the reseller has the bargaining power and speculation is observed this loss in revenue is somewhat mitigated by increased speculation

regulation and firm size fda impacts on innovation this article estimates the highly differential impacts of fda regulations on pharmaceutical firms of various sizes where size is measured as scale of r d expenditures estimation is performed using the method of maximum quasi likelihoods using productivity trends of the united kingdom as a control to isolate fda regulatory effects in the united states it is shown that smaller u s pharmaceutical firms suffered devastating reductions in research productivity because of fda regulations in contrast the largest u s pharmaceutical firms apparently benefited from regulation as sales gains due to reduced competition more than offset their quite moderate declines in research productivity

jump bidding and overconcentration in decentralized simultaneous ascending auctions abstract a model of english auctions is proposed to incorporate the possibility of jump bidding when two objects are sold separately via such auctions bidders signal their willingness to pay via jump bids thereby forming rational expectations of the prices without relying on any central mediator hence a multi item bidder does not suffer the exposure problem of having to buy an item while he is uncertain about the price of its complement single item bidders however free ride one another in competing against a multi item bidder consequently the auctions overly concentrate the goods to a multi item bidder and never overly diffuse them to single item bidders

multi object auctions with resale theory and experiment abstract we study multi object auctions in the presence of post auction trade opportunities among bidders who have either single or multi object demand we focus on two formats vickrey auctions where package bidding is possible and simultaneous second price auctions we show that under complementarities the vickrey format has an equilibrium where the objects are allocated efficiently at the auction stage whether resale markets are present or not the simultaneous second price on the other hand leads to inefficiency with or without resale possibility our experimental findings show that the possibility of resale in second price auctions decreases the efficiency rate at the auction stage compared to the no resale case however after resale the efficiency rate in second price is as high as that of vickrey auction without resale outcomes in the experiment preventing resale neither benefits nor hurts auction revenues in a second price format

regulatory errors with endogenous agendas how do a regulator s decisions depend on the characteristics and strategies of its external clients we develop a theory of approval regulation in which an uninformed regulator may veto the submission of a better informed rm the rm can perform

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

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

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

asymmetric auctions with resale we study first and second price auctions with resale in a model with indepen dent private values with asymmetric bidders the resulting inefficiencies create a motive for post auction trade which in our model takes place via monopoly pricing the winner makes a take it or leave it offer to the loser we show a a first price auction with resale has a unique monotonic equilibrium and b with resale the expected revenue from a first price auction exceeds that from a second price auction the inclusion of resale possibilities thus permits a gen eral revenue ranking of the two auctions that is not available when these are excluded jel d44

overcoming adverse selection how public intervention can restore market functioning as illustrated by liquidity support equity injections and asset repurchases in financial crises and by imf credit lines to countries authorities often intervene in orderto revive markets that have dried up or to create newones in suchsituations agents participate only if they receive from the governmental scheme more than in the marketplace while the market outcome depends on who joins the scheme the paper provides a first analysis of market jumpstarting and its two way interaction between mechanism design and participation constraints in the model sellers in need of cash have private information about the value of their legacy asset the absence of buyer confidence forces authorities to intervene to jump start the market we characterize the optimal intervention and draw two main implications first the government should clean up the market through buybacks of the weakest assets and then through some equity injections and leave the agents with the strongest legacy assets to the market in particular authorities should not substitute fully for the market even when they have no comparative disadvantage in acquiring assets or shares thereof second the government creates its own competition by cleaning up the market from its most toxic pieces at the optimal intervention the government always strictly overpays for the legacy asset yet and unlike what would be suggested by coasian profit evasion the existence of a later market imposes no welfare cost while it is cast in a public intervention context the analysis of mechanismdependent reservation utilities also admits important private sector applications

collusion and the choice of auction auctions are used in many different markets including the leasing of a substantial fraction of the natural resources in the united states the procedures used in the auctions conducted by the federal government have been a continuing source of controversy one of the concerns has been the possibility of collusion among bidders this article shows that cartels are stable if the seller uses open ascending bid oral auctions but not if he uses sealed high bid auctions this may help to explain the frequent use of sealed high bid auctions

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

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

first price auctions with resale and with outcomes robust to bid disclosure although there exists a pure separating equilibrium of the two bidder first price auction with resale when the bids are kept secret the ratchet effect prevents the existence of such an equilibrium if the bidders are heterogeneous and the bids are fully disclosed nevertheless we construct a behavioral equilibrium under full disclosure that is equivalent to the pure separating equilibrium under no disclosure thus if the bidders follow this equilibrium the choice of the disclosure regime does not affect the final allocation of the item nor the expected payoffs

optimality and the english and second price auctions with resale abstract in the presence of resale and under more general assumptions than zheng s 2002 implementation of myerson s 1981 optimal allocation with two bidders is achieved through the second price auction in a special class of asymmetric n bidder models it is achieved through the english auction

resale in second price auctions with costly participation abstract we study sealed bid second price auctions with costly participation and resale each bidder chooses to participate in the auction if her valuation is higher than her optimally chosen participation cutoff if resale is not allowed and the bidder valuations are drawn from a strictly convex distribution function the symmetric equilibrium where all bidders use the same cutoff is less efficient than a class of two cutoff asymmetric equilibria existence of these equilibria without resale is sufficient for existence of similarly constructed two cutoff equilibria with resale moreover the equilibria with resale are more asymmetric and under a sufficient condition more efficient than the corresponding equilibria without resale

simultaneous allocation of bundled goods through auctions assessing the case for joint bidding we study the costs and benefits of allowing joint bidding in multiple simultaneous first price sealed bid auctions for bundled goods with private values joint bidding raises the prospect of higher allocative efficiency but also reduces the number of bidders resulting in an ambiguous net impact on seller revenue the research was carried out using laboratory experiments in which groups of up to six buyers competed for eight bundles of two separable goods each the main results show that in our experimental environment allowing joint bidding increases efficiency by 11 3 and revenue by 9 4 the research has immediate applications to the sale of public forest stands that arbor a mixture of species for this reason we explore how the results are affected by excess supply the presence of dominant firms and the removal of an allocation rule requiring multiple bidders under certain circumstances

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

collusion via resale the english auction is susceptible to tacit collusion when post auction interbidder resale is allowed we show this by constructing equilibria where with positive probability one bidder wins the auction without any competition and divides the spoils by optimally reselling the good to the other bidders these equilibria interim pareto dominate among bidders the standard value bidding equilibrium without requiring the bidders to make any commitment on bidding behavior or postbidding spoil division

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

speculation in standard auctions with resale in standard auctions resale creates a role for a speculator a bidder who is commonly known to have no use value for the good on sale we study this issue in environments with symmetric independent private value bidders for second price and english auctions the efficient value bidding equilibrium coexists with a continuum of inefficient equilibria in which the speculator wins the auction and makes positive profits first price and dutch auctions have an essentially unique equilibrium and whether or not the speculator wins the auction and distorts the final allocation depends on the number of bidders the value distribution and the discount factor speculators do not make profits in first price or dutch auctions

robustly optimal auctions with unknown resale opportunities the standard revenue maximizing auction discriminates against a priori stronger bidders so as to reduce their information rents we show that such discrimination is no longer optimal when the auction s winner may resell to another bidder and the auctioneer has non bayesian uncertainty about such resale opportunities we identify a worst case resale scenario in which bidders values become publicly known after the auction and losing bidders compete bertrand style to buy the object from the winner with this form of resale misallocation no longer reduces the information rents of the high value bidder as he could still secure the same rents by buying the object in resale under regularity assumptions we show that revenue is maximized by a version of the vickrey auction with bidder specific reserve prices first proposed by ausubel and cramton 2004 the proof of optimality involves constructing lagrange multipliers on a double continuum of binding non local incentive constraints

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

low revenue equilibria in simultaneous ascending bid auctions low revenue equilibria allow participants in an auction to obtain goods at prices lower than would prevail in a competitive market these outcomes are generated as perfect equilibria of ascending bid multiunit auctions we show that these equilibria are possible under mild conditions conditions that are likely to prevail in many situations where auction formats have recently been adopted we argue that these equilibria could explain the low revenues of some recent auctions and discuss potential remedies to eliminate low revenue equilibria

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