robust stochastic discount factors when the market is incomplete a new non redundant derivative security cannot be priced by no arbitrage arguments alone moreover there will be a multiplicity of stochastic discount factors and each of them may give a different price for the new derivative security this paper develops an approach to the selection of a stochastic discount factor for pricing a new derivative security the approach is based on the idea that the price of a derivative security should not vary too much when the payoff of the primitive security is slightly perturbed i e the price of the derivative should be robust to model misspecification the paper develops two metrics of robustness the first is based on robustness in expectation the second is based on robustness in probability and draws on tools from the theory of large deviations we show that in a stochastic volatility model the two metrics yield analytically tractable bounds for the derivative price as the underlying stochastic volatility model is perturbed the bounds can be readily used for numerical examination of the sensitivity of the price of the derivative to model misspecification

general equilibrium pricing of cpi derivatives we examine the issue of pricing forward futures and option contracts written on the consumer price index cpi the change of which is a measure of inflation affecting the economy traditional approaches postulate an exogenous process for the price level and then derive cpi derivatives prices by standard arbitrage arguments by contrast we build the general equilibrium of a continuous time monetary economy that is affected by both real and nominal shocks the price level and thus the inflation rate are found endogenously and solutions for the prices of cpi derivatives are obtained which are in closed form in a specialized version of the economy

channel coordination and quantity discounts this paper presents a model for analyzing the impact of joint decision policies on channel coordination in a system consisting of a supplier and a group of homogeneous buyers the joint decision policy characterized by the unit selling price and the order quantity is coordinated through quantity discounts and franchise fees both the annual demand rate and the operating cost including the purchase ordering and inventory holding costs depend on the joint decision policy employed this paper contributes by integrating work addressing quantity discounts on inventory and ordering policies and work focusing on the control mechanism provided by quantity discounts in channel coordination it is shown that the optimal all unit quantity discount policy is equivalent to the optimal incremental quantity discount policy in achieving channel coordination furthermore it is shown that quantity discounts alone are not sufficient to guarantee joint profit maximization the analyses of the general models are illustrated by specific analytical results obtained for a given demand function

determinants of pension plan fees in spain pension plans and funds represent a substantial part of the welfare systems in both europe and spain one of the most important factors in the choice of a plan or fund is the performance it obtains in view of the influence that fees have on performance the objective of this study is to analyse the variables that determine the management and custodial fees of individual pension plans the spanish market for pension plans and funds sets legal caps on these fees and at the same time the majority of them are commercialized and managed by financial institutions which can in turn generate a conflict of interests in this article we estimate models with censured variables and our findings show how the average investment per plan the legal status and the size of the management company to which the plan belongs and the style of the plan are all relevant determinants of the management fee in turn the custodial fee is determined by the legal status of the custodial company the size the return and the type

research note quantity discounts in differentiated consumer product markets in this paper we extend the standard hotelling model of product differentiation to incorporate a second dimension of consumer heterogeneity that relates to the quantity of the product consumers wish to buy this extension allows us to derive optimal nonlinear pricing rules chosen by competing sellers when offering differentiated products in the marketplace it also permits us to assess whether sellers find it optimal to offer quantity discounts in such a setting and the implications of such discounts on their profitability we find that offering quantity discounts corresponds indeed to equilibrium behavior the extent of discounting declines the less differentiated the products surprisingly when sellers offer to consumers a choice between two different sized packages their profits are at most as high as when such a choice is unavailable moreover when utilizing nonlinear pricing rules is not feasible the profits of the sellers actually decline when they offer consumers a choice between different sized packages a limited empirical investigation supports the comparative statics we derive in our theoretical model

supply and social cost estimates for biomass from crop residues in the united states the components of social costsincluded in the supply analysis are cashoutlays and opportunity costs associated withharvest and alternative residue uses potentialenvironmental damage that is avoided byexcluding unsuitable land and costs in movingresidues from farms to processing plants regional estimates account for the growingconditions and crops of the main agriculturalareas of the united states estimates includethe main u s field crops with potential forresidue harvest corn wheat sorghum oats barley rice and cane sugar the potentialcontribution of residues to u s energy needsis discussed

on arbitrage free pricing of interest rate contingent claims unlike most interest rate claim models the ho lee model utilizes full information on the current term structure unfortunately the model has a major deficiency in that negative interest rates can occur this article modifies the model such that interest rates are well behaved

theoretical relations between risk premiums and conditional variances many statistical models of time varying risk premiums including the autoregressive conditional heteroscedasticity arch in mean attempt to exploit a relation between risk premiums and conditional variances or covariances of asset returns we examine this relation in numerical versions of a dynamic asset pricing theory and show that it can be increasing decreasing flat or nonmonotonic its shape depends on both the preferences of the representative agent and the stochastic structure of the economy without additional structure the theory does not provide either a general foundation for arch in mean specifications or a simple interpretation of their parameters

a dynamic programming approach for pricing options embedded in bonds abstract we propose a dynamic programming dp approach for pricing options embedded in bonds the focus being on call and put options with advance notice an efficient procedure is developed for the cases where the interest rate process follows the vasicek cox ingersoll ross cir or generalized vasicek models our dp methodology uses the exact joint distribution of the interest rate and integrated interest rate at a future date conditional on the current value of the interest rate we provide numerical illustrations for the vasicek and cir models comparing our dp method with finite difference methods our procedure compares quite favorably in terms of both efficiency and accuracy an important advantage of the our dp approach is that it can be applied to more general models calibrated to capture the term structure of interest rates e g the generalized vasicek model

valuing managerial flexibility an application of real option theory to mining investments abstract the value of managerial flexibility is assessed using data on prices costs grades reserves ore extraction and metal output for a panel of canadian copper mines a real option model is estimated and solved for project and option values most empirical researchers i consider the initial investment decision but neglect flexible operation thereafter ii assume that price is stochastic but ignore cost and reserve uncertainty and iii model price as a nonstationary stochastic process the evolution of three state variables price cost and reserves is assessed here differences in assumptions compared to others are found to lead to large differences in estimated project and option values

managing channel profits a channel of distribution consists of different channel members each having his own decision variables however each channel member s decisions do affect the other channel members profits and as a consequence actions a lack of coordination of these decisions can lead to undesirable consequences for example in the simple manufacturer retailer consumer channel uncoordinated and independent channel members decisions over margins result in a higher price paid by the consumer than if those decisions were coordinated in addition the ensuing suboptimal volume leads to lower profits for both the manufacturer and the retailer this paper explores the problems inherent in channel coordination we address the following questions what is the effect of channel coordination what causes a lack of coordination in the channel how difficult is it to achieve channel coordination what mechanisms exist which can achieve channel coordination what are the strengths and weaknesses of these mechanism what is the role of nonprice variables e g manufacturer advertising retailer shelf space in coordination does the lack of coordination affect normative implications from in store experimentation can quantity discounts be a coordination mechanism are some marketing practices actually disguised quantity discounts we review the literature and present a simple formulation illustrating the roots of the coordination problem we then derive the form of the quantity discount schedule that results in optimum channel profits this article was originally published in marketing science volume 2 issue 3 pages 239 272 in 1983

the pension costs from a defined benefit to individual pension accounts do they cost more in the case of taiwan this article develops a market based liability valuation model to price individual pension costs of a defined benefit db pension plan the purpose is to compare them with the new labour pension plan individual pension accounts ipas in the case of taiwan the results based on the numerical approach show that the new ipas cost a company more than the old db plan except if the average wage growth relative to the risk free interest rate is high enough

costs and benefits of inducing intrabrand competition the role of limited liability when is inducing intrabrand competition via nonexclusive distribution an optimal strategy to address this issue a static model is developed to examine two settings the manufacturer uses exclusive distributors in the first setting and nonexclusive distributors in the second the analysis indicates that the choice of distribution rests critically on whether the manufacturer can effectively extract surplus from the distributors due to a variety of institutional reasons the distributors liability is often limited in performing on behalf of the manufacturer such limited liability restricts how much of the distributors surplus can be extracted when the distributors surplus cannot be fully extracted the manufacturer may prefer nonexclusive distribution even when distributors can free ride on each other s efforts

on credible delegation by oligopolists a discussion of distribution channel management several papers in the recent marketing literature have suggested that delegation in distribution e g the use of independent middlemen helps manufacturers to precommit strategically to profit enhancing competitive actions further the literature suggests that the profitability of such actions depends on market structure we challenge these conclusions here this is done in two steps first we perform an analysis of the entire class of models which have been used in the literature using internally consistent assumptions about market structure and contracting the only subgame perfect equilibrium is one in which all distribution channels have infinitely many levels of delegation obviously this is not what we see in the real world next we relax a key hidden assumption namely that all intra channel agreements are observable to competitors without this assumption the usual results unravel unless channel members can offer credible guarantees that unobservable agreements do not exist the strategic effects of delegation disappear since these guarantees are virtually impossible to maintain credibly we would expect to reject the hypothesis in the earlier literature relating channel structure to competition in an empirical study controlling for observability we conclude that mechanisms other than strategic ones must be responsible for the existence of delegated channels and make some suggestions about promising avenues for future theory research in channel structure

the effect of transaction size on off the run treasury prices this paper examines intra day trading data from the inter dealer broker market for u s treasury securities and measures the degree of price pressure in the off the run treasury market as is well known securities that would appear to be very close substitutes i e on the run and off the run treasury bonds behave as if there is some degree of market segmentation this is the first systematic study of the off the run treasury note and bond market focused entirely on a price pressure effect using intra day data the paper analyzes price pressure through matched pairs of securities that differ only in liquidity

the valuation of multiple claim insurance contracts this paper provides a closed form solution for the value of a multiple claim insurance contract that is subject to a deductible amount and or an upper limit on claims the solution is a time integral of european option prices the model provides three important insights first systematic risk in insurance policies is altered in the presence of deductibles and maximum indemnity levels second idiosyncratic risk affects policy valuation and the required rates of return on underwriting portfolios finally contrary to traditional actuarial intuition changes in the risk free interest rate may either increase or reduce policy values

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

a nonlinear general equilibrium model of the term structure of interest rates abstract we derive and test an alternative closed form general equilibrium model of the term structure within the cox ingersoll and ross theoretical framework in which yields are nonlinear functions of the risk free rate we show that equilibrium bond prices and the risk free rate are not always inversely related and that bond risk need not be strictly increasing in maturity using hansen s generalized method of moments to obtain parameter estimates this nonlinear model outperforms the cox ingersoll and ross square root model in describing actual treasury bill yields for the 1964 1986 period

coordination via cost and revenue sharing in manufacturer retailer channels abstract the problem of establishing efficiency in a manufacturer retailer channel channel coordination is extensively discussed in the industrial economics the marketing and the operations research literature however studies considering consumer demand to be simultaneously affected by price and non price variables are scarce one subset of models investigates efficient contracts with non linear tariffs but requires mechanisms which are rarely observed in managerial practice the other subset analyses channel efficiency effects of alternative royalty payments but omits to design an efficient contract we contribute to this literature by investigating a contract of royalty payments that is sufficient for channel coordination based on the analysis of the underlying vertical externalities we show that channel coordination requires cost and revenue sharing via a revenue sharing rate and marketing effort participation rates on both manufacturer and retailer level some surprising findings are highlighted there exists a continuum of efficient contracts efficiency requires a retailer s participation of at least 50 in the manufacturer s cost of marketing effort moreover the elimination of double marginalisation is not necessary for channel coordination manufacturer and retailer can choose an efficient contract via bargaining over the wholesale price the main challenge for managers will be to create acceptance of new types of royalty payments based on a trustful manufacturer retailer relationship we also discuss the cases of the apple iphone market launch and of innovative restaurant franchising to further illustrate and underline the relevance of our results

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

an intertemporal general equilibrium model of asset prices this paper develops a continuous time general equilibrium model of a simple but complete economy and uses it to examine the behavior of asset prices in this model asset prices and their stochastic properties are determined endogenously one principal result is a partial differential equation which asset prices must satisfy the solution of this equation gives the equilibrium price of any asset in terms of the underlying real variables in the economy in this paper we develop a general equilibrium asset pricing model for use in applied research an important feature of the model is its integration of real and financial markets among other things the model endogenously determines the stochastic process followed by the equilibrium price of any financial asset and shows how this process depends on the underlying real variables the model is fully consistent with rational expectations and maximizing behavior on the part of all agents our framework is general enough to include many of the fundamental forces affecting asset markets yet it is tractable enough to be specialized easily to produce specific testable results furthermore the model can be extended in a number of straightforward ways consequently it is well suited to a wide variety of applications for example in a companion paper cox ingersoll and ross 7 we use the model to develop a theory of the term structure of interest rates many studies have been concerned with various aspects of asset pricing under uncertainty the most relevant to our work are the important papers on intertemporal asset pricing by merton 19 and lucas 16 working in a continuous time framework merton derives a relationship among the equilibrium expected rates of return on assets he shows that when investment opportunities are changing randomly over time this relationship will include effects which have no analogue in a static one period model lucas considers an economy with homogeneous individuals and a single consumption good which is produced by a number of processes the random output of these processes is exogenously determined and perishable assets are defined as claims to all or a part of the output of a process and the equilibrium determines the asset prices our theory draws on some elements of both of these papers like merton we formulate our model in continuous time and make full use of the analytical tractability that this affords the economic structure of our model is somewhat similar to that of lucas however we include both endogenous production and

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

on real interest rate dynamics and regime switching abstract we find evidence of regime switching dynamics in the usa and the uk real interest rates over the period 1881 2003 for the uk there is a regime in which the real interest rate displays a relatively stronger mean reversion and a regime in which it displays a relatively weaker mean reversion the former regime is characterized by a relatively larger error in the estimation of the reversion parameter and higher volatility for the usa the two regimes differ in volatility the probability of transition from one regime to another is found to be significantly related to the inflation rate regime and to the political regime the results highlight the importance of regime switching in the dynamics of the real interest rate as well as the role of inflation and political regimes in explaining this switching

farm production decisions under cross and conservation compliance the success of soil conservation compliance cc hinges on participation in commodity programs using mixed integer programming the profitability of participation in commodity programs was examined on seventeen surveyed north carolina farms without cc cross compliance in commodity programs increased projected soil erosion by over 80 when participation increased from 30 to nearly 90 with cc erosion fell by two thirds at the high participation level but decreased by only 1 with low participation individual farm acreage base and crop yield strongly affected the profitability of cc compliance is increasingly profitable on farms with more base acreage and higher yields

the term structure of interest rates with housing abstract this paper develops a general equilibrium model to study the link between the amount of capital invested in housing assets and the term structure of interest rates in the model the production of housing assets is irreversible and housing assets can be used as collateral for borrowing funds agents decisions about consumption and investments in housing and non housing assets generate a time varying market price of risk that drives the dynamics of the term structure the calibration to u s data using the simulated method of moments technique captures the dynamics of consumption and the short and long term interest rates

an equilibrium model of exchange rate determination and asset pricing with nontraded goods and imperfect information this paper presents a two country model with maximizing households stochastic production stochastic money growth and perfect capital mobility because of the presence of nontraded goods households in different countries consume different goods analytic solutions are presented for the nominal exchange rate the real exchange rate nominal interest rates and real interest rates it is shown that the model is compatible with some important features of the real world behavior of exchange rates when households are imperfectly informed about the distribution of money growth the exchange rate exhibits patterns of overshooting and is more volatile than the ratio of the money stocks copyright 1987 by university of chicago press

the risk premium of volatility implicit in currency options this article provides an empirical investigation of the risk neutral variance process and the market price of variance risk implied in the foreign currency options market there are three principal contributions first the parameters of heston s mean reverting square root stochastic volatility model are estimated using dollar mark option prices from 1987 to 1992 second it is shown that these implied parameters can be combined with historical moments of the dollar mark exchange rate to deduce an estimate of the market price of variance risk these estimates are found to be nonzero time varying and of sufficient magnitude to imply that the compensation for variance risk is a significant component of the risk premia in the currency market finally the out of sample test suggests that the historical variance and the hull and white implied variance contain no more information than that imbedded in the heston implied variance

securities markets diffusion state processes and arbitrage free shadow prices this paper develops the parametric restrictions imposed on diffusion state processes by the requirement of arbitrage free asset pricing using the equivalent martingale measure as a starting point the diffusion property is exploited to specify the shadow pricing func tion which takes conditional state variable probabilities under the reference measure into arbitrage free contingent claim prices the main results of the paper provide differential equations associated with the shadow price function that are used to identify restrictions on the parameters of assumed diffusion processes the paper concludes with an application to the cir model where the state variable the instantaneous interest rate is assumed to follow a square root process calculations are also provided for the parametric restrictions imposed on the brownian bridge and ou state variable processes

time horizon and the discount rate abstract we consider an economy a la lucas 1978 econometrica46 1429 1446 with a risk averse representative agent the exogenous growth rate of the economy follows a random walk we characterize the set of utility functions for which it is efficient to discount more distant cash flows at a lower rate the benchmark result is that when the growth rate is almost surely nonnegative the yield curve is decreasing if and only if relative risk aversion is decreasing with wealth relaxing the assumption on the absence of recession requires more restrictions on preferences such as increasing relative prudence journal of economic literature classification numbers d81 d91 q25 q28

equilibrium valuation of foreign exchange claims this article studies the equilibrium valuation of foreign exchange contingent claims within a continuous time lucas 1982 two country model exchange rates interest rates and in particular factor risk prices are all endogenously and jointly determined this guarantees the internal consistency of these price processes with a general equilibrium in the same model closed form valuation formulas are presented for currency options and currency futures options common to these formulas is that stochastic volatility and stochastic interest rates are admitted hedge ratios and other comparative statics are also provided analytically it is shown that most existing currency option models are included as special cases this article studies the equilibrium valuation and hedging of foreign exchange contingent claims the framework for analysis is the continuous time counterpart of the well known two country monetary model of lucas 1982 1 that is we use the modeling structure of lucas 1982 and adopt his representativeagent perfect pooling equilibrium notion rather than extending the lucas setup to a cox ingersoll and ross 1985a henceforth cir production economy as is done in nielsen and saa requejo 1993 for our purpose the lucas framework offers the desired simplicity and tractability we assume a stochastic structure for the international economy such that the resulting nominal interest rates and exchange rate dynamics exhibit similar empirically plausible features as the corresponding ones in nielsen and saa requejo 1993 for example the endogenous interest rates are positively correlated across national borders campbell and clarida 1987 and ilmanen 1995 as a predictor of future spot exchange rates the equilibrium forward exchange rate is biased in a direction consistent with the forward premium puzzle

a simple nonnegative process for equilibrium models abstract this paper presents a general specification for dynamic equilibrium models where nonnegative variables follow the autoregressive gamma process in jasiak and gourieroux 2006 the model solution implies linear dynamics for endogenous variables and provides conditional and unconditional moments in closed form finding the solution is computationally inexpensive requiring only to solve linear and quadratic equations the specification can be applied to a wide variety of models in finance and economics two applications are presented first a time varying volatility premium in a long run risks asset pricing model second time varying volatility in policy shocks in a simple new keynesian model accuracy in these models solutions is high and not significantly affected by time varying volatility

coordinating advertising and pricing in a manufacturer retailer channel abstract cooperative advertising is a practice that a manufacturer pays retailers a portion of the local advertising cost in order to induce sales cooperative advertising plays a significant role in marketing programs of channel members nevertheless most studies to date on cooperative advertising have assumed that the market demand is only influenced by advertising expenditures but not by retail price this paper addresses channel coordination by seeking optimal cooperative advertising strategies and equilibrium pricing in a two member distribution channel we establish and compare two models a non cooperative leader follower game and a cooperative game we develop propositions and insights from the comparison of these models the cooperative model achieves better coordination by generating higher channel wide profits than the non cooperative model with these features a the retailer price is lower to consumers and b the advertising efforts are higher for all channel members we identify the feasible solutions to a bargaining problem where the channel members can determine how to divide the extra profits

pricing weather derivatives this article presents a general method for pricing weather derivatives specification tests find that a temperature series for fresno ca follows a mean reverting brownian motion process with discrete jumps and autoregressive conditional heteroscedastic errors based on this process we define an equilibrium pricing model for cooling degree day weather options comparing option prices estimated with three methods a traditional burn rate approach a black scholes merton approximation and an equilibrium monte carlo simulation reveals significant differences equilibrium prices are preferred on theoretical grounds so are used to demonstrate the usefulness of weather derivatives as risk management tools for california specialty crop growers

accounting for forward rates in markets for foreign currency absteract forward and spot exchange rates between major currencies imply large standard deviations of both predictable returns from currency speculation and of the equilibrium price measure the intertemporal marginal rate of substitution representative agent theory with time additive preferences cannot account for either of these properties we show that the theory does considerably better along these dimensions when the representative agent s preferences exhibit habit persistence but that the theory fails to reproduce some of the other properties of the data in particular the strong autocorrelation of forward premiums since the advent of flexible exchange rates in the early 1970s a large body of statistical work has established that forward rates for major currencies are not optimal predictors of future spot rates relevant evidence is reported in studies by baillie lippens and mcmahon 1983 bekaert 1991 bilson 1981 boothe and longworth 1984 cumby 1988 cumby and obstfeld 1984 fama 1984 gregory and mccurdy 1984 hansen and hodrick 1983 hodrick and srivastava 1984 and korajczyk and viallet 1990 a more complete list of references is provided by hodrick 1987 these papers indicate that returns from speculation in forward and spot currency markets are predictable and that the predictable components vary considerably over time a number of alternative explanations have been offered for the predictable variation in foreign currency market excess returns kaminsky 1988 korajczyk 1985 and krasker 1980 suggest that infrequent extreme events may make returns appear predictable in small samples the so called peso problem lewis 1989 argues that rational learning following infrequent changes in the process governing equilibrium prices can explain part of the ex post predictability of currency returns froot and frankel 1989 and froot and thaler 1990 examine the hypothesis that market forecasts of future spot

equilibrium returns policies in the presence of supplier competition the pioneering pasternack returns policy model analyzed channel coordination with a single supplier catering to a retailer facing stochastic demand for a perishable product with a fixed price and the model showed that giving partial returns of unsold stock to the retailer is the optimal policy for the entire supply chain the result thus begs the question as to why manufacturers of perishable commodities widely accept full returns of unsold stock as the norm we model the environment as one where two capacity constrained manufacturers compete for shelf space with the same retailer and we show that a complete credit returns policy is in fact the only possible equilibrium of the game our results obviate the need for knowing the exact functional form of the demand distribution in order to compute the returns credit as pasternack s results would require from a retailer s standpoint we establish a simple procurement strategy and show that it is optimal the same game with price only contracting has a pure strategy equilibrium when the supplier capacities are below a threshold value and a mixed strategy equilibrium when the supplier capacities cross this threshold but are still so limited that no single supplier can with certainty supply all the quantity demanded

contract design with a dominant retailer and a competitive fringe we show that under some conditions quantity discounts and two part tariffs are equivalent as mechanisms for channel coordination when an upstream firm sells its product in a downstream market that is characterized by a dominant retailer and a competitive fringe we consider a setting in which discriminatory offers are feasible and a setting in which the same menu of options must be offered to all retailers we find that the upstream firm s profit in both settings is independent of whether quantity discounts or two part tariffs are used the implication of this finding is that the firm s choice of contract design may turn on which one is easier to implement

nominal contracts in a bimetallic standard as its central feature a bimetallic standard grants nominal debtors an option to deliver either of two metals with results from the option pricing literature construction of a formula to evaluate the bimetallic option in debt instruments is straightforward with this formula one can compute the option value in a wide range of nineteenth century u s treasury securities posession of the option values permits an adjustment of the yields on u s securities to make them comparable to yields on nonmetallic european securities evaluating the option allows the estimation of transfers from debtors to creditors copyright 1986 by american economic association

an industry equilibrium analysis of downstream vertical integration this paper investigates the effect of product substitutability on nash equilibrium distribution structures in a duopoly where each manufacturer distributes its goods through a single exclusive retailer which may be either a franchised outlet or a factory store static linear demand and cost functions are assumed and a number of rules about players expectations of competitors behavior are examined it is found that for most specifications product substitutability does influence the equilibrium distribution structure for low degrees of substitutability each manufacturer will distribute its product through a company store for more highly competitive goods manufacturers will be more likely to use a decentralized distribution system this article was originally published in marketing science volume 2 issue 2 pages 161 191 in 1983

note channel of distribution profits when channel members form conjectures it is well known that lower channel profits are achieved in the bilateral manufacturer reseller monopoly if manufacturer and reseller independently optimize their respective profits they take each other s decisions as given i e adopt decision rules that ignore their influence on the other channel member higher profits are achieved if they coordinate their profit maximizing decisions consequently there is an economic justification for 1 vertical integration that by definition prevents conflicting profit objectives or 2 contracts that change channel members incentives to the compatible objectives of shares of total channel profits this paper investigates the possibility that coordination might take place without formal arrangements like vertical integration or contracts the reason for this contention is the casual observation that channel members are often acutely aware of the interdependencies between channel participants we might thus expect that they will form conjectures about other channel members reactions to their own actions we show that rational conjectures lead profit maximizing channel members to adopt modified decisions rules can such conjectural decision making create at least partially channel coordination or cooperation in other words can channel members deviate from the nash equilibrium and thus achieve greater profits the answer given in this paper is a conditional yes

commentary managing channel profits channel coordination and more generally coordination of activities between interdependent economic agents is even more important today than when the paper was published more than 20 years ago one reason is the trend toward globalization and outsourcing caused in part by the development of increasingly complex products and services that integrate many different competencies coordination today involves all the aspects of the marketing mix product design coordination price and service coordination the focus of managing channel profits coordination of availability in highly hybrid distribution systems to better reach an increasingly complex and fragmented market and coordination of communication with the target market managing channel profits argues a tendency toward a lack of coordination without explicit institutional arrangements and coordination mechanisms such as quantity discounts and contracts to solve the problem the price and service coordination ideas of managing channel profits have been successfully applied for 25 years of developments in marketing of revenue and cost sharing arrangements between increasingly interdependent market participants

an intertemporal general equilibrium asset pricing model the case of diffusion information this paper provides sufficient conditions for the equilibrium price system and a vector of exogenously specified state variable processes to form a diffusion process in a pure exchange economy the conditions involve smoothness of agents utility functions and certain nice properties of the aggregate endowment process and the dividend processes of traded assets in place of the dynamic programming a martingale representation technique is utilized to characterize equilibrium portfolio policies this technique is useful even when there does not exist a finite dimensional markov structure in the economy and thus the markovian stochastic dynamic programming is not applicable a gents are shown to hold certain hedging mutual funds and the riskless asset in contrast to earlier results the market portfolio does not have a special role in hedging since the markets are dynamically complete when there exists a finite dimensional markov system in the economy the dimension of the hedging demand identified through the markovian dynamic programming may be much larger than that identified by the martingale method copyright 1987 by the econometric society

shifting endpoints in the term structure of interest rates abstract this paper links the term structure to perceptions of monetary policy long horizon forecasts of short rates required by no arbitrage term structure models are heavily influenced by the endpoints or limiting conditional forecasts of the short rate process common assumptions that the short rate is mean reverting or contains a unit root are shown to generate unrealistic yield predictions failures occur because these assumptions inadequately account for historical shifts in market perceptions of the policy target for inflation this paper links endpoint shifts to agent learning about shifts in long term policy goals shifting endpoints in short rate processes significantly improve yield predictions

single factor heath jarrow morton term structure models based on markov spot interest rate dynamics this paper considers the class of heath jarrow morton term structure models where the spot interest rate is markov and the term structure at time t is a function of time maturity and the spot interest rate at time t a representation for this class of models is derived and i show that the functional forms of the forward rate volatility structure and the initial forward rate curve cannot be arbitrarily chosen i provide necessary and sufficient conditions indicating which combinations of these functional forms are allowable i also derive a partial differential equation representation of the term structure dynamics that does not require explicit modeling of both the market price of risk and the drift term for the spot interest rate process using the analysis presented in this paper a class of intertemporal term structure models is derived

benefits of channel discord in the sale of durable goods minimizing strife through vertical integration is commonly seen as the holy grail for long term success in product distribution in this paper we take a different slant showing that sometimes a separated channel that embodies a degree of discord can be helpful particularly when a long term view is taken this result is shown in the context of durable goods manufacturing the quandary of durable goods production is that once demand for a certain time frame is met there is a subsequent temptation to flood the market with additional goods as such consumers are reluctant to buy immediately instead opting to wait for discounted prices this problem can be alleviated by a degree of channel discord high wholesale prices ensure future sales will slow to a trickle

the portable guarantee to exchange back an old defined benefit for a new defined contribution dc pension plan as a defined contribution dc pension plan is introduced to replace a defined benefit db pension plan the portability benefit from a dc pension plan costs the employees to bear the investment risk from managing the pension fund to protect the retirement income and maintain the portability benefit a guarantee to exchange back the old defined benefit is supposed to be demanded for the new dc plan s participants in the guarantee market in light of such a demand this article applies a claim terminating insurance pricing model to offer a contingent claims pricing model for a portable pension guarantee using the new labor pension plan of taiwan as an illustration a guaranteed dc pension will carry an extra cost of almost 50 up to over 100 of the plan s contributions over the participant s work life given the current mandatory minimum requirement of a contribution rate of 6

modeling government program participation decisions at the farm level changes in the u s farm economy during the 1980s have caused many farmers to give careful consideration to participation in the government farm program analytical techniques to identify optimal participation and resulting crop mix strategies at a whole farm level can aid farmers faced with these decisions this paper presents a mathematical programming approach adaptable to farm level decision analysis an empirical example involving a texas farm suggests that resource levels base acreage endowments limited cross compliance and returns outside the program can influence participation decisions government program participation decisions heavily influence the crop mix decision on many farms in the united states features such as base acreage limited cross com

the equilibrium valuation of risky discrete cash flows in continuous time this paper values a contingent claim to discrete stochastic cash flows generated by a poisson arrival process with a randomly varying intensity parameter in the most general case both the size and the arrival intensity of cash flows may correlate wih state variables in a continuous time economy assuming the conditions of an intertemporal capital aset pricing model solutions for the value of the contingent claim can be found using various techniques the paper suggests immediate applications to the valuation of insurance contracts the decision to build a firm with unknown future investment opportunities and the pricing of mortgage backed securities

distribution channels an extension of exclusive retailership the underlying channel structure in most studies to date has consisted either of exclusive dealers that sell only one manufacturer s brand or of a single retailer selling multiple brands little attention has been given to the larger segment of most consumer goods markets in which retailers compete to sell multiple brands at the same location this research seeks to add to the growing literature of channel competition by analyzing three channel structures the least constrained of which deals with two competing manufacturers and two retailers each of whom distributes both products in a noncooperative game with two nash s and one stackleberg equilibrium using differentiated products and a linear demand function we introduce the concept of store substitutability a measure corresponding to product substitutability representing competitiveness at the retail level between the two retailers we are able to obtain closed form solutions for all cases we show that the presence of competitive effects at both retail and manufacturer levels of distribution has a significant impact on profits and prices we also study the effects of various power relationships in the channel furthermore we compare these results to those obtained by previous research finally we propose some testable implications and suggest avenues for future research

pricing mortgage default and foreclosure delay this paper extends current mortgage pricing models to recognize the impact that delays between default and foreclosure have on the value of default to the borrower and the resulting value of the mortgage to investors the model explicitly captures potential costs through postforeclosure deficiency judgments and benefits in the elimination of negative equity and free rent that must be weighed at the time of default in determining whether the ultimate put option via allowing foreclosure is in the money the results provide policy implications concerning the operation of the fha insurance program copyright 1997 by ohio state university press

on the theory of international currency portfolios abstract the paper develops a general equilibrium theory of the optimal currency composition of international bond portfolios like the partial equilibrium portfolio balance literature of the 1980s the theory emphasizes the critical roles of government debt and government balance sheet operations in the determination of portfolios prices and allocations consistent with empirical findings optimal foreign currency positions are found to be small with their size decreasing with exchange rate volatility while optimal domestic currency positions are large and increasing with domestic interest rates a large open market purchase of domestic currency bonds from private households lowers domestic interest rates

gain loss asymmetric stochastic differential utility abstract this study examines a gain loss asymmetric utility in continuous time in which the investor discounts their utility gain by more than the utility loss by employing the theory of stochastic differential utility the model allows an endogenously time varying subjective discount rate in addition the model can express various forms of utility functions including a version of the epstein zin utility under the model even if the state variables do not have any jump in their paths the optimal consumption wealth ratio and portfolio weight can change non smoothly

reply to managing channel profits comment we welcome moorthy s comment moorthy k s 1987 managing channel profits comment marketing sci 6 fall 375 379 it provides an opportunity to clarify several issues raised in our 1983 paper that paper was motivated by one concern channel coordination we believed that channel members benefit from coordination and that many institutional arrangements such as quantity discounts are actually coordinating mechanisms we developed a simple model to demonstrate our belief for historical accuracy mcguire and staelin cited by moorthy had already independently developed a useful model of duopolistic channel competition being unaware of their working paper our model not surprisingly differed from theirs both papers provide important but different insights into channel management

rear view mirror driving in defined contribution systems the strange formula of the chilean pension funds the pioneering regulation on chilean pension funds under defined contribution program requires private managing institutions to exclusively manage individual accounts and meet a minimum return to their clients the purpose of this study is to empirically investigate the investment behaviour of pension funds and to contribute to the social security debate the findings reveal the benchmark significantly explains funds performance pension funds tend to replicate their asset allocations to exhibit similarities in returns we believe the obligation on fund managers to attain a minimum guaranteed return based on relative performance evaluation encourages them not to deviate from the industry s performance indeed the benchmark explains most of the group performance to hold similar allocations managers may monitor each others through their investment style

moment based estimation of stochastic volatility abstract this paper makes use of the distributional information contained in high frequency data to test for the specification of the functional form of the volatility process within the class of stochastic volatility models it s calculus is implemented in order to obtain the first and second conditional moment of the driving stochastic differential equation for the volatility process these analytical expressions are augmented by their lag and lag squared and are used to form the corresponding gmm estimator the base case stochastic volatility model is extended to allow for the leverage effect and jumps in returns empirical estimation confirms the presence of fast mean reversion in volatility and jumps in returns for the 5 min s p 500 stock market index further estimation results also seem to indicate the presence of jumps in the volatility process that are correlated to the jumps in returns

supplier pricing and lot sizing when demand is price sensitive abstract the problem of co ordination between a vendor and a buyer is formulated as a two person fixed threat bargaining game the vendor decides on his lot size and the price schedule he is to offer to the buyer the buyer decides upon his lot size and the selling price in the market we have characterized pareto efficient solutions and the nash bargaining solution for the problem we have also proposed two pricing schedules for the vendor who is supplying to a large population of buyers the first one is based upon profit sharing the second one resembles the classical all unit quantity discount schedule we have thus provided for the supplier a procedure for setting all unit quantity discount schedule

idea generation creativity and incentives idea generation ideation is critical to the design and marketing of new products to marketing strategy and to the creation of effective advertising copy however there has been relatively little formal research on the underlying incentives with which to encourage participants to focus their energies on relevant and novel ideas several problems have been identified with traditional ideation methods for example participants often free ride on other participants efforts because rewards are typically based on the group level output of ideation sessions this paper examines whether carefully tailored ideation incentives can improve creative output i begin by studying the influence of incentives on idea generation using a formal model of the ideation process this model illustrates the effect of rewarding participants for their impact on the group and identifies a parameter that mediates this effect i then develop a practical web based asynchronous ideation game which allows the implementation and test of various incentive schemes using this system i run two experiments that demonstrate that incentives do have the capability to improve idea generation confirm the predictions from the theoretical analysis and provide additional insight on the mechanisms of ideation

comparative dynamics of an equilibrium intertemporal asset pricing model this paper uses recursive competitive theory to develop a general equilibrium asset pricing model in this framework all prices and rates of return are endogenously determined thus enabling us to analyze the effects of changes in preferences technological uncertainty and expectations on the structure of security prices in particular we focus on how the market risk premium varies with changes in the underlying economic environment an issue which other asset pricing models have chosen not to address

hedging derivative securities and incomplete markets an e arbitrage approach given a european derivative security with an arbitrary payoff function and a corresponding set of underlying securities on which the derivative security is based we solve the optimal replication problem find a self financing dynamic portfolio strategy involving only the underlying securities that most closely approximates the payoff function at maturity by applying stochastic dynamic programming to the minimization of a mean squared error loss function under markov state dynamics we derive recursive expressions for the optimal replication strategy that are readily implemented in practice the approximation error or e of the optimal replication strategy is also given recursively and may be used to quantify the degree of market incompleteness to investigate the practical significance of these e arbitrage strategies we consider several numerical examples including path dependent options and options on assets with stochastic volatility and jumps