consistent modeling of s p 500 and vix derivatives abstract this study introduces a model that identifies relationships between stylized features on s p 500 vix and derivatives on vix the paper considers a specification with discontinuous correlated jumps in stock prices and stock price volatility with state dependent arrival intensity and examines how these factors impact vix option pricing and hedging the paper finds strong evidence for jumps in volatility and jumps in returns implicit in vix option data

option pricing when the variance changes randomly theory estimation and an application in this paper we examine the pricing of european call options on stocks that have vari ance rates that change randomly we study continuous time diffusion processes for the stock return and the standard deviation parameter and we find that one must use the stock and two options to form a riskless hedge the riskless hedge does not lead to a unique option pricing function because the random standard deviation is not a traded security one must appeal to an equilibrium asset pricing model to derive a unique option pricing function in general the option price depends on the risk premium associated with the random standard deviation we find that the problem can be simplified by assuming that volatility risk can be diversified away and that changes in volatility are uncorrelated with the stock return the resulting solution is an integral ofthe black scholes formula and the distribution function for the variance of the stock price we show that accurate option prices can be computed via monte carlo simulations and we apply the model to a set of actual prices

information flow and pricing errors a unified approach to estimation and testing this study examines whether rates of information flow differ between trading and nontrading periods and whether the variances of pricing errors differ at the open and close of trading the approach improves on existing methods by allowing for correlation between pricing errors and information flow and by conducting inferences at the individual security level the daytime rate of information flow is about seven times the overnight rate and the variances of pricing errors at the open are not different from those at the close of trading this evidence differs from existing results based on return variance ratios much of the empirical market microstructure literature predicates its analysis on a model in which price changes have a permanent information related component and a transitory market friction or dealer cost component two questions that have received a great deal of attention relate to the behavior of these components the first is whether and to what extent the rate of information flow into prices differs during trading and nontrading periods this is equivalent to asking whether the variance of the permanent component per unit time is different during periods when trading occurs than when trading does not occur the second question is whether pricing errors of differing magnitudes are associated with different trading mechanisms or trading preceded by an overnight period of nontrading this corresponds to asking whether the variance of the transitory component is different depending on which trading mechanism is used or whether trading has been halted for a time more generally these questions relate to whether the permanent and transitory components of price changes are heteroskedastic although both questions share the context of this model existing studies typically focus

estimation of consumer demand with stock out based substitution an application to vending machine products the occurrence of temporary stock outs at retail is common in frequently purchased product categories available empirical evidence suggests that when faced with stock outs consumers are often willing to buy substitute items an important implication of this consumer behavior is that observed sales of an item no longer provide a good measure of its core demand rate sales of items that stock out are right censored while sales of other items are inflated because of substitutions knowledge of the true demand rates and substitution rates is important for the retailer for a variety of category management decisions such as the ideal assortment to carry how much to stock of each item and how often to replenish the stock the estimated substitution rates can also be used to infer patterns of competition between items in the category in this paper we propose methods to estimate demand rates and substitution rates in such contexts we develop a model of customer arrivals and choice between goods that explicitly allows for possible product substitution and lost sales when a customer faces a stock out the model is developed in the context of retail vending an industry that accounts for a sizable part of the retail sales of many consumer products we consider the information set available from two kinds of inventory tracking systems in the best case scenario of a perpetual inventory system in which times of stock out occurrence and cumulative sales of all goods up to these times are observed we derive maximum likelihood estimates mles of the demand parameters and show that they are especially simple and intuitive however state of the art inventory systems in retail vend ing provide only periodic data i e data in which times of stock out occurrence are unobserved or missing for these data we show how the expectation maximization em algorithm can be employed to obtain the mles of the demand parameters by treating the stock out times as missing data we show an application of the model to daily sales and stocking data pooled across multiple beverage vending machines in a midwestern u s city the vending machines in the application carry identical assortments of six brands since the number of parameters to be estimated is too large given the available data we discuss possible restrictions of the consumer choice model to accomplish the estimation our results indicate that demand rates estimated naively by using observed sales rates are biased even for items that have very few occurrences of stock outs we also find significant differences among the substitution rates of the six brands the methods proposed in our paper can be modified to apply to many nonvending retail settings in which consumer choices are observed not their preferences and choices are constrained because of unavailability of items in the choice set one such context is in store grocery retailing where similar issues of information availability arise in this context an important issue that would need to be dealt with is changes in the retail environment caused by retail promotions

single period multiproduct inventory models with substitution we study a single period multiproduct inventory problem with substitution and proportional costs and revenues we consider n products and n demand classes with full downward substitution i e excess demand for class i can be satisfied using product j for i j we first discuss a two stage profit maximization formulation for the multiproduct substitution problem we show that a greedy allocation policy is optimal we use this to write the expected profits and its first partials explicitly this in turn enables us to prove additional properties of the profit function and several interesting properties of the optimal solution in a limited computational study using two products we illustrate the benefits of solving for the optimal quantities when substitution is considered at the ordering stage over similar computations without considering substitution while ordering specifically we show that the benefits are higher with high demand variability low substitution cost low profit margins or low price to cost ratio high salvage values and similarity of products in terms of prices and costs

the valuation of options on yields abstract many contingent claims incorporate options on yield levels i derive closed form expressions for european yield option prices using a general equilibrium model in which the underlying yield is the relevant state variable the properties of these options differ markedly from those of conventional options on traded assets for example yield call values can be less than their intrinsic value and can be decreasing functions of the underlying yield these features have important hedging implications i examine the empirical implications of the model using price data for the 13 week t bill options traded on the chicago board options exchange

the pricing of options on assets with stochastic volatilities one option pricing problem that has hitherto been unsolved is the pricing of a european call on an asset that has a stochastic volatility this paper examines this problem the option price is determined in series form for the case in which the stochastic volatility is independent of the stock price numerical solutions are also produced for the case in which the volatility is correlated with the stock price it is found that the black scholes price frequently overprices options and that the degree of overpricing increases with the time to maturity one option pricing problem that has hitherto remained unsolved is the pricing of a european call on a stock that has a stochastic volatility from the work of merton 12 garman 6 and cox ingersoll and ross 3 the differential equation that the option must satisfy is known the solution of this differential equation is independent of risk preferences if a the volatility is a traded asset or b the volatility is uncorrelated with aggregate consumption if either of these conditions holds the risk neutral valuation arguments of cox and ross 4 can be used in a straightfoward way this paper produces a solution in series form for the situation in which the stock price is instantaneously uncorrelated with the volatility we do not assume that the volatility is a traded asset also a constant correlation between the instantaneous rate of change of the volatility and the rate of change of aggregate consumption can be accommodated the option price is lower than the blackscholes b s 1 price when the option is close to being at the money and higher when it is deep in or deep out of the money the exercise prices for which overpricing by b s takes place are within about ten percent of the security price this is the range of exercise prices over which most option trading takes place so we may in general expect the b s price to overprice options this effect is exaggerated as the time to maturity increases one of the most surprising implications of this is that if the b s equation is used to determine the implied volatility of a near the money option the longer the time to maturity the lower the implied volatility numerical solutions for the case in which the volatility is correlated with the stock price are also examined the stochastic volatility problem has been examined by merton 13 geske 7 johnson 10 johnson and shanno 11 eisenberg 5 wiggins 16 and

interest rate volatility and the term structure a two factor general equilibrium model we develop a two factor general equilibrium model of the term structure the factors are the short term interest rate and the volatility of the short term interest rate we derive closed form expressions for discount bonds and study the properties of the term structure implied by the model the dependence of yields on volatility allows the model to capture many observed properties of the term structure we also derive closed form expressions for discount bond options we use hansen s generalized method of moments framework to test the cross sectional restrictions imposed by the model the tests support the two factor model there are essentially two approaches to the modeling of the term structure of interest rates in continuous time the equilibrium approach pioneered by

pricing vxx option with default risk and positive volatility skew abstract this paper proposes and makes a comparative study of alternative models for vxx option pricing factors such as mean reversion jumps default risk and positive volatility skew are taken into consideration in particular default risk is characterized by jump to default framework and the positive volatility skew issue is addressed by stochastic volatility of volatility and jumps daily calibration is conducted and comparative study of the models is performed to check whether they properly fit market prices and generate reasonable positive volatility skews and deltas overall jump to default extended lrj model with positive correlated stochastic volatility called jdlrjsv in the paper serves as the best model in all the required aspects

sports sentiment and stock returns this paper investigates the stock market reaction to sudden changes in investor mood motivated by psychological evidence of a strong link between soccer outcomes and mood we use international soccer results as our primary mood variable we find a significant market decline after soccer losses for example a loss in the world cup elimination stage leads to a next day abnormal stock return of 49 basis points this loss effect is stronger in small stocks and in more important games and is robust to methodological changes we also document a loss effect after international cricket rugby and basketball games this paper employs a novel mood variable international soccer results to investigate the effect of investor sentiment on asset prices using a cross section of 39 countries we find that losses in soccer matches have an economically and statistically significant negative effect on the losing country s stock market for example elimination from a major international soccer tournament is associated with a next day return on the national stock market index that is 38 basis points lower than average we also document a loss effect after international cricket rugby and basketball games on average the effect is smaller in magnitude for these other sports than for soccer but is still economically and statistically significant we find no evidence of a corresponding effect after wins for any of the sports that we study controlling for the pre game expected outcome we are able to reject the hypothesis that the loss effect after soccer games is driven by economic factors such as reduced productivity or lost revenues we

the effect of time induced stress on financial decision making in real markets the case of traffic congestion abstract we study the role of stress induced by time constraints on investor decision making in real financial markets we use unexpected traffic congestion as a stress trigger our dependent variable is the slope of the implied volatility function ivf of options on russian trading system index rtsi futures at the left hand side of the volatility smile cf bollen and whaley 2004 controlling for relevant factors we find that this slope at the opening of the main trading session is higher subsequent to morning traffic jams suggesting that investors under stress assign higher weights to extreme loss scenarios this effect is economically exploitable before transaction costs

multi resource investment strategies operational hedging under demand uncertainty abstract consider a firm that markets multiple products each manufactured using several resources representing various types of capital and labor and a linear production technology the firm faces uncertain product demand and has the option to dynamically readjust its resource investment levels thereby changing the capacities of its linear manufacturing process the cost to adjust a resource level either up or down is assumed to be linear the model developed here explicitly incorporates both capacity investment decisions and production decisions and is general enough to include reversible and irreversible investment the product demand vectors for successive periods are assumed to be independent and identically distributed the optimal investment strategy is determined with a multi dimensional newsvendor model using demand distributions a technology matrix prices product contribution margins and marginal investment costs our analysis highlights an important conceptual distinction between deterministic and stochastic environments the optimal investment strategy in our stochastic model typically involves some degree of capacity imbalance which can never be optimal when demand is known

pricing and the news vendor problem a review with extensions in the newsvendor problem a decision maker facing random demand for a perishable product decides how much of it to stock for a single selling period this simple problem with its intuitively appealing solution is a crucial building block of stochastic inventory theory which comprises a vast literature focusing on operational efficiency typically in this literature market parameters such as demand and selling price are exogenous however incorporating these factors into the mode l can provide an excellent vehicle for examining how operational problems interact with marketing issues to influence decision making at the firm level in this paper we examine an extension of the newsvendor problem in which stocking quantity and selling price are set simultaneously we provide a comprehensive review that synthesizes existing results for the single period problem and develop additional results to enrich the existing knowledge base we also review and develop insight into a dynamic inventory extension of this problem and motivate the applicability of such models

allocation of flexible and indivisible resources with decision postponement and demand learning we consider a firm that uses two perishable resources to satisfy two demand types resources are flexible such that each resource can be used to satisfy either demand type resources are also indivisible such that the entire resource must be allocated to the same demand type this type of resource flexibility can be found in different applications such as movie theater complexes cruise lines and airlines in our model customers arrive according to independent poisson processes but the arrival rates are uncertain thus the manager can learn about customer arrival rates from earlier demand figures and potentially increase the sales by postponing the resource allocation decision we consider two settings and derive the optimal resource allocation policy for one setting and develop a heuristic policy for the other our analysis provides managerial insights into the effectiveness of different resource allocation mechanisms for flexible and indivisible resources

trading mechanisms and stock returns an empirical investigation this paper examines the effects of the mechanism by which securities are traded on their price behavior we compare the behavior of open to open and close to close returns on nyse stocks given the differences in execution methods applied in the opening and closing transactions opening returns are found to exhibit greater dispersion greater deviations from normality and a more negative and significant autocorrelation pattern than closing returns we study the effects of the bid ask spread and the price adjustment process on the estimated return variances and covariances and discuss the associated biases we conclude that the trading mechanism has a significant effect on stock price behavior

mood induced variation in risk preferences abstract psychological research links good bad mood with increased decreased risk aversion this relation has been widely documented in experimental setups there has not been however a complementary analysis with real life decisions data this paper fills this gap by testing the relation between mood and risk attitude in capital markets to shed light on that relation we recover risk preferences from capital market data and employ accumulated evidence suggesting that people s mood is correlated with weather conditions corroborating established experimental evidence we find that good bad mood is associated with investors being less more willing to tolerate risk

inventory pooling under heavy tailed demand risk pooling has been studied extensively in the operations management literature as the basic driver behind strategies such as transshipment manufacturing flexibility component commonality and drop shipping this paper explores the benefit of risk pooling in the context of inventory management using the canonical model first studied in eppen eppen gd 1979 effects of centralization on expected costs in a multi location newsboy problem management sci 25 5 498 501 specifically we consider a single period multilocation newsvendor model where n different locations face independent and identically distributed demands and linear holding and backorder costs we show that eppen s celebrated result i e that the expected cost savings from centralized inventory management scale with the square root of the number of locations depends critically on the light tailed nature of the demand uncertainty in particular we establish that the benefit from pooling relative to the decentralized case in term

pricing decisions for substitutable products in a two echelon supply chain with firms different channel powers abstract pricing decisions for two substitutable products in a supply chain with one common retailer and two competitive manufacturers are considered in this paper the purpose of this paper is to analyze the effects of the two manufacturers different competitive strategies and the channel members different power structures on the optimal pricing decisions one centralized pricing model and seven decentralized pricing models are developed and the corresponding analytical equilibrium solutions are obtained by using game theoretic approach finally numerical studies are presented to illustrate the effectiveness of the theoretical results and to gain additional managerial insights

analytical and managerial implications of integrating product substitutability in the joint pricing and procurement problem abstract this paper studies the analytical and managerial implications of product substitutability on the joint pricing and procurement decisions we consider a single period model with two products an existing product and an improved new product that can substitute the demand for the existing product in case of a shortage demand for each product follows a general distribution with an expected value that is a linear function of the price of the new product while the price of the existing product is determined by the market it is necessary to determine the new product s price and the procurement quantities of both products so as to maximize the profits we analytically show that the expected profit function is unimodal and in the existence of substitution the expected total profit is higher the optimal price and the safety stock of the new product are higher and the optimal safety stock of the existing product is less using these properties an efficient algorithm is developed we also provide a numerical analysis to demonstrate that considering substitution in advance could increase the profitability by 58 and the new product price by 5 while decreasing the total procurement quantity by 15

deterministic eoq with partial backordering and correlated demand caused by cross selling abstract there has been much work regarding the deterministic eoq with partial backordering the majority of these studies assume no correlation in sales so independent demands across items is applied in the models however it is generally recognized that cross selling effects between items often appear in real contexts thus incorporating such effects in the inventory model in the form of correlated demands makes it of more practical relevance in this paper the authors address a two item inventory system where the demand of a minor item is correlated to that of a major item because of cross selling we firstly present a two item eoq model with identical order cycles where the unmet demand of the major item can be partially backordered with lost sales whereas the demand of the minor item must be met without stockouts this model is further extended to fit a more practical case where the order cycle of the major item is an integer multiple of that of the minor item the optimal solutions of the two models as well as the inventory decision procedures are also developed comparative analysis on these two eoq models has been drawn in the computational study which presents some insights into the parameter effect on the optimal inventory policy

stock price distributions with stochastic volatility an analytic approach we study the stock price distributions that arise when prices follow a diffusion process with a stochastically varying volatility parameter we use analytic techniques to derive an explicit closed form solution for the case where volatility is driven by an arithmetic ornstein ublenbeck or ar1 process we then apply our results to two related problems in the finance literature 1 options pricing in a world of stochastic volatility and 2 the relationship between stochastic volatility and the nature of fat tailes in stock price distributions article published by oxford university press on behalf of the society for financial studies in its journal the review of financial studies

general equilibrium stock index futures prices theory and empirical evidence we develop a closed form general equilibrium model of stock index futures prices in a continuous time economy with stochastic interest rates and market volatility we show that futures prices implied by the model have very different properties from those of the cost of carry model using nyse stock index futures data we examine the restrictions imposed on futures prices by both the equilibrium and cost of carry models consistent with the equilibrium model we find that stock index futures prices are related to market volatility and that their interest rate sensitivity is a nonlinear function of contract maturity

relationships among three assumptions in revenue management this note discusses the relationships among three assumptions that appear frequently in the pricing revenue management literature these assumptions are mostly needed for analytical tractability and they have the common property of ensuring a well behaved revenue function the three assumptions are decreasing marginal revenue with respect to demand decreasing marginal revenue with respect to price and increasing price elasticity of demand we provide proofs and examples to show that none of these conditions implies any other however they can be ordered from strongest to weakest over restricted regions and the ordering depends upon the region

joint pricing and procurement of substitutable products with random demands a technical note abstract single period joint pricing and procurement of substitutable products entails one time procurement and pricing decisions for substitutable products that face price dependent stochastic demands recently karakul and chan karakul m chan l 2008 analytical and managerial implications of integrating product substitutability in the joint pricing and procurement problem european journal of operational research 190 179 204 considered this problem for two one way substitutable products authors model the demands for each product in the well known additive form where the mean demands are linear functions of the price of the high grade new product plus an additive stochastic noise term by assuming that the noise term for the low grade existing product follows a general discrete distribution and the noise term for the high grade product follows a general continuous distribution authors are able to show the unimodality of the expected profit function with respect to the procurement quantities and the price of the new product in this paper we extend this result to the case where the noise term in the demand of the low grade product follows a general continuous distribution as well

the price of a smile hedging and spanning in option markets the volatility smile changed drastically around the crash of 1987 and new option pricing models have been proposed to accommodate that change deterministic volatility models allow for more flexible volatility surfaces but refrain from introducing additional risk factors thus options are still redundant securities alternatively stochastic models introduce additional risk factors and options are then needed for spanning of the pricing kernel we develop a statistical test based on this difference in spanning using daily s p 500 index options data from 1986 95 our tests suggest that both in and out of the money options are needed for spanning the findings are inconsistent with deterministic volatility models but are consistent with stochastic models that incorporate additional priced risk factors such as stochastic volatility interest rates or jumps article published by oxford university press on behalf of the society for financial studies in its journal the review of financial studies

inferring volatility dynamics and risk premia from the s p 500 and vix markets abstract we estimate a flexible affine model using an unbalanced panel containing s p 500 and vix index returns and option prices and analyze the contribution of vix options to the model s in and out of sample performance we find that they contain valuable information on the risk neutral conditional distributions of volatility at different time horizons which is not spanned by the s p 500 market this information allows enhanced estimation of the variance risk premium we gain new insights on the term structure of the variance risk premium present a trading strategy exploiting these insights and show how to improve s p 500 return forecasts

on the benefits of pooling in production inventory systems we study inventory pooling in systems with symmetric costs where supply lead times are endogenously generated by a finite capacity production system we investigate the sensitivity of the cost advantage of inventory pooling to various system parameters including loading service levels demand and production time variability and structure of the production system the analysis reveals differences in how various parameters affect the cost reduction from pooling and suggests that these differences stem from the manner in which the parameters influence the induced correlation between lead time demands of the demand streams we compare these results with those obtained for pure inventory systems where lead times are exogenous we also compare inventory pooling with several forms of capacity pooling

inventory management under price based and stockout based substitution abstract we examine a stochastic inventory and pricing problem for a firm that sells two vertically differentiated products the demands for the two products are determined by total random market size and the customers net utility from buying the two products which is determined by the products quality attributes the individual quality valuation unknown to the firm and the selling prices in case the preferred product is out of stock customers may be willing to buy a substitute instead if their net utility is non negative therefore we analyze an inventory and pricing model considering price based and stockout based substitution we show that the demand function is not continuous in price by decomposing the profit function into different price regimes we are able to derive closed form expressions for the stockout based substitution rates upward and downward substitution and the optimal inventory levels under exogenous pricing under endogenous pricing we find that the profit function is not necessarily unimodal however we show that a unique solution exists for the integrated price and inventory problem under price based substitution only numerical results reveal that not considering stockout based substitution i leads to lower profit margins for high quality products and ii may cause severe supply demand mismatches throughout the entire assortment finally we show the performance of two approximated pricing policies

the effect of remanufacturing on procurement decisions for resellers in secondary markets the role of remanufacturing as a competitive tool for firms has been reflected in a number of studies to show that remanufacturing can reduce the unit cost of production by reusing components however the fact that remanufacturing can be used as a strategic tool for serving secondary markets as well has not been acknowledged in the literature in this paper we study the use of remanufacturing as a tool to serve secondary markets specifically we model the case of a reseller who procures used products based on an older generation of technology from an advanced market and then uses one of two options a she can either resell a small fraction of these used products in a developing market where the technology is acceptable or b she can invest in the remanufacturing of these products and then sell them in the developing market at a higher price the main result of the paper is that using remanufacturing to serve secondary markets reduces the number of units procured from the advanced market for the reseller in addition we show based on certain cost structures that the reseller is always better off if she uses remanufacturing to a certain extent

a classification of the literature on the planning of substitutable products abstract a company s assortment of products and corresponding inventory levels are constrained by available resources such as production capacity storage space and capital to acquire the inventory thus customers may not always be able to find a most preferred product at the time of purchase this unsatisfied demand is often substituted with an alternative in the extant literature there have been an increasing number of studies that consider product substitution when planning product assortment inventory and capacity in conjunction with pricing in this paper we classify the literature on the planning of substitutable products published in the major om and marketing journals during the past thirty years 1974 2013 and present a comprehensive taxonomy of the literature one criterion is adopted to discuss modeling objectives and three major criteria are provided to define the nature of product substitution including substitution mechanism substitution decision maker and direction of substitutability we also identify research gaps to provide guidance for related research in the future

inventory decisions for substitutable products with stock dependent demand abstract we study a retailer s inventory policy for two products the products are substitutable and have inventory dependent demand so a higher inventory level of a product increases its sales we model the joint effect of demand stimulation and product substitution on inventory decisions by considering a single period stochastic demand setting we provide the first order optimality conditions for the profit maximizing order quantities and interpret them using marginal analysis we also consider two heuristic solutions that separately account for either demand stimulation or product substitution our numerical analysis reveals that the optimal policy by appropriately using sales information that quantifies substitution and demand stimulation can produce significantly higher profits the profit benefits are lessened under certain circumstances such as when the two products have similar critical fractile values suggesting that in such instances the heuristics may be used effectively

option pricing when the variance is changing the monte carlo method is used to solve for the price of a call when the variance is changing stochastically

the behavior of volatility expectations and their effects on expected returns this article examines the behavior of common stock return volatility forecasts implied by call option prices and studies the relationship between implied volatilities and stock returns the author estimates a model that integrates the findings of previous theoretical and empirical research the author finds that implied volatilities are significantly positively related to forecasts of market return volatility and to recent realizations of stock and market volatilities the author s model is able to capture much of the previously unexplained cross sectional and serial correlation in implied volatilities moreover stock returns are found to be significantly positively related to lagged implied volatilities copyright 1993 by university of chicago press

optimal production pricing and substitution policies in continuous review production inventory systems abstract we consider the optimal production pricing and substitution policies of a continuous review production inventory system with two products a high end product and a low end product each product has its associated customer stream however the demands for the low end product may be satisfied by the high end product we formulate the problem as a markov decision process and characterize the structure of the optimal control policy which specifies when to produce for each product when to use the high end product as a substitute and how to set the optimal prices we show that a base stock production policy is optimal however the optimal base stock level for each product depends on the inventory level of the other product and it features a monotonic property we also demonstrate that the optimal substitution policy is a rationing policy with the rationing level depending on the total inventory amount we find that the optimal prices can be either decreasing or increasing in the inventory levels depending on the forms of demand functions furthermore we utilize numerical experiments to investigate the impact of different system characteristics on the benefits of using substitution and dynamic pricing finally we investigate when the dynamic pricing strategy and the substitution strategy are complements or substitutes

dynamic capacity management with general upgrading this paper studies a capacity management problem with upgrading a firm needs to procure multiple classes of capacities and then allocate the capacities to satisfy multiple classes of customers that arrive over time a general upgrading rule is considered i e unmet demand can be satisfied using multistep upgrade no replenishment is allowed and the firm has to make the allocation decisions without observing future demand we first characterize the structure of the optimal allocation policy which consists of parallel allocation and then sequential rationing specifically the firm first uses capacity to satisfy the same class demand as much as possible then considers possible upgrading decisions in a sequential manner we also propose a heuristic based on certainty equivalence control to solve the problem numerical analysis shows that the heuristic is fast and delivers close to optimal profit for the firm finally we conduct extensive numerical studies to derive insights into the problem it is foun

dynamic pricing in the presence of inventory considerations research overview current practices and future directions the benefits of dynamic pricing methods have long been known in industries such as airlines hotels and electric utilities where the capacity is fixed in the short term and perishable in recent years there has been an increasing adoption of dynamic pricing policies in retail and other industries where the sellers have the ability to store inventory three factors contributed to this phenomenon 1 the increased availability of demand data 2 the ease of changing prices due to new technologies and 3 the availability of decision support tools for analyzing demand data and for dynamic pricing this paper constitutes a review of the literature and current practices in dynamic pricing given its applicability in most markets and its increasing adoption in practice our focus is on dynamic intertemporal pricing in the presence of inventory considerations

an empirical comparison of continuous time models of implied volatility indices abstract we explore the ability of alternative popular continuous time diffusion and jump diffusion processes to capture the dynamics of implied volatility indices over time the performance of the various models is assessed under both econometric and financial metrics to this end data are employed from major european and american implied volatility indices and the rapidly growing cboe volatility futures market we find that the addition of jumps is necessary to capture the evolution of implied volatility indices under both metrics mean reversion is of second order importance though the results are consistent across the various metrics markets and construction methodologies

pure jump models for pricing and hedging vix derivatives abstract recent non parametric statistical analysis of high frequency vix data todorov and tauchen 2011 reveals that vix dynamics is a pure jump semimartingale with infinite jump activity and infinite variation to our best knowledge existing models in the literature for pricing and hedging vix derivatives do not have these features this paper fills this gap by developing a novel class of parsimonious pure jump models with such features for vix based on the additive time change technique proposed in li et al 2016a li et al 2016b we time change the 3 2 diffusion by a class of additive subordinators with infinite activity yielding pure jump markov semimartingales with infinite activity and infinite variation these processes have time and state dependent jumps that are mean reverting and are able to capture stylized features of vix our models take the initial term structure of vix futures as input and are analytically tractable for pricing vix futures and european options via eigenfunction expansions through calibration exercises we show that our model is able to achieve excellent fit for the vix implied volatility surface which typically exhibits very steep skews comparison to two other models in terms of calibration reveals that our model performs better both in sample and out of sample we explain the ability of our model to fit the volatility surface by evaluating the matching of moments implied from market vix option prices to hedge vix options we develop a dynamic strategy which minimizes instantaneous jump risk at each rebalancing time while controlling transaction cost its effectiveness is demonstrated through a simulation study on hedging bermudan style vix options

volatility related exchange traded assets an econometric investigation we develop a theoretical framework for covariance stationary but persistent positively valued processes which combines a semi nonparametric expansion of the gamma distribution with a component version of the multiplicative error model our conditional mean assumption allows for slow possibly nonmonotonic mean reversion while our distribution assumption provides more flexibility than a traditional laguerre expansion while preserving positivity of the density we apply our framework to a dynamic portfolio allocation for exchange traded notes tracking short and mid term vix futures indices which are increasingly popular but risky financial instruments we show the superior performance of the strategies based on our econometric model

optimal investment in product flexible manufacturing capacity this paper presents a model and an analysis of the cost flexibility tradeoffs involved in investing in product flexible manufacturing capacity flexible capacity provides a firm with the ability to respond to a wide variety of future demand outcomes but at the expense of the increased cost of acquiring flexible manufacturing capacity as compared with dedicated or nonflexible capacity we formulate the product flexible manufacturing capacity investment decision as a two stage stochastic program in the first stage the firm must make its investment decision in manufacturing capacity before the resolution of uncertainty in product demand in the second stage after demand for products are known the firm implements its production decisions constrained by the first stage investments the main contributions of this paper are threefold first we develop a model of the firm s flexible manufacturing investment decision that conceptually captures some of the key characteristics of this complex decision probl

vix derivatives hedging and vol of vol risk we study the empirical hedging performance of alternative vix option pricing models recent advances in the literature find evidence of asymmetric volatility of volatility similar to the leverage effect in equity markets stochastic mean reversion and jumps using such findings in our model framework we show that while sophisticated models have superior pricing performance and can explain a range of stylized facts in the vix derivatives market their hedging performance is inferior to a simple black model hedge we also study the empirical performance of regime dependent hedge ratio adjustments commonly applied in equity markets

the impact of product substitution on retail merchandising abstract we analyze the impact of product substitution on two key aspects of retail merchandising order quantities and expected profits to perform this analysis we extend the basic news vendor model to include the possibility that a product with surplus inventory can be used as a substitute for out of stock products this extension requires a definition and an approximation for the resulting effective demand under substitution a service rate heuristic is developed to solve the extended problem the performance of this heuristic is evaluated using an upper bound generated by solving the associated lagrangian dual problem our analysis suggests that this heuristic provides a tractable and accurate method to determine order quantities and expected profits under substitution we apply this heuristic to examine how the level of demand uncertainty and correlation and the degree of substitution between products affect order quantities and expected profits under substitutable demand in addition we use the heuristic to better understand the mechanism by which substitution improves expected profits

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

valuation of vix derivatives abstract we conduct an extensive empirical analysis of vix derivative valuation models before during and after the 2008 2009 financial crisis since the restrictive mean reversion and heteroskedasticity features of existing models yield large distortions during the crisis we propose generalisations with a time varying central tendency jumps and stochastic volatility analyse their pricing performance and implications for term structures of vix futures and volatility skews we find that a process for the log of the observed vix combining central tendency and stochastic volatility reliably prices vix derivatives we also uncover a significant risk premium that shifts the long run volatility level

tempus fugit time pressure in risky decisions we study the effects of time pressure on risky decisions for pure gain prospects pure loss prospects and mixed prospects involving both gains and losses in two experiments we find that time pressure has no effect on risk attitudes for gains but increases risk aversion for losses for mixed prospects subjects become simultaneously more loss averse and more gain seeking under time pressure depending on the framing of the prospects the results suggest the importance of aspiration levels and thus the overall probability to break even under time pressure we discuss the implications of our findings for decision making situations that involve time pressure

valuing futures and options on volatility abstract this paper presents simple closed form expressions for volatility futures and option prices and examines their implications for the characteristics of these securities we show that the properties of these volatility derivatives are fundamentally different from those of conventional option and futures contracts this analysis also provides insights into the role that volatility derivatives may play in managing and hedging volatility risk in financial markets

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

flexible service capacity optimal investment and the impact of demand correlation we consider a firm that provides multiple services using both specialized and flexible capacity the problem is formulated as a two stage single period stochastic program the firm invests in capacity before the actual demand is known and optimally assigns capacity to customers when demand is realized sample applications include a car rental company s use of mid sized cars to satisfy unexpectedly high demand for compact cars and an airline s use of business class seats to satisfy economy class demand we obtain an analytical solution for a particular case when services may be upgraded by one class the simple form of the solution allows us to compare the optimal capacities explicitly with a solution that does not anticipate flexibility given that demand follows a multivariate normal distribution we analytically characterize the effects of increasing demand correlation on the optimal solution for the case with two customer classes the effects of demand correlation are intuitive increasing correlation induces a shift from flexible to dedicated capacity when there are three or more classes there are also adjustments to the resources not directly affected by the correlation change as correlation rises these changes follow an alternating pattern for example if the optimal capacity of one resource rises then the optimal capacity of the adjacent resource falls these results make precise conjectures based on numerical experiments that have existed in the literature for some time

incentives and commonality in a decentralized multiproduct assembly system in this paper we explore the impact of decentralized decision making on the behavior of multiproduct assembly systems specifically we consider a system where three components two product specific and one common are used to produce two end products to satisfy stochastic customer demands we study the system under both centralized and decentralized decision making in the decentralized system we prove that for any set of wholesale prices there exists a unique pareto optimal equilibrium in the suppliers capacity game we show that the assembler s optimal wholesale prices lie in one of two regions one leads to capacity imbalance and one does not we use these results to derive insights regarding the inefficiencies that decentralization can cause in such systems in particular several of our findings indicate that outsourcing the management of component supplies may inhibit the use of operational hedging approaches for managing uncertainty

option mispricing around nontrading periods we find that option returns are significantly lower over nontrading periods the vast majority of which are weekends our evidence suggests that nontrading returns cannot be explained by risk but rather are the result of widespread and highly persistent option mispricing driven by the incorrect treatment of stock return variance during periods of market closure the size of the effect implies that the broad spectrum of finance research involving option prices should account for nontrading effects our study further suggests how alternative industry practices could improve the efficiency of option markets in a meaningful way

pricing and operational recourse in coproduction systems coproduction systems in which multiple products are produced simultaneously in a single production run are prevalent in many industries such systems typically produce a random quantity of vertically differentiated products this product hierarchy enables the firm to fill demand for a lower quality product by converting a higher quality product in addition to the challenges presented by random yields and multiple products coproduction systems often serve multiple customer classes that differ in their product valuations furthermore the sizes of these classes are uncertain employing a utility maximizing customer model we investigate the production pricing downconversion and allocation decisions in a two class stochastic demand stochastic yield coproduction system for the single class case we establish that downconversion will not occur if prices are set optimally in contrast we show that downconversion can be optimal in the two class case even if prices are set optimally we consider the benefit of postponing certain operational decisions e g the pricing or allocation rule decisions until after uncertainties are resolved we use the term recourse to denote actions taken after uncertainties have been resolved we find that recourse pricing benefits the firm much more than either downconversion or recourse allocation do implying that recourse demand management is more valuable than recourse supply management special cases of our model include the single class and two class random yield newsvendor models

hedging volatility risk abstract volatility risk plays an important role in the management of portfolios of derivative assets as well as portfolios of basic assets this risk is currently managed by volatility swaps or futures however this risk could be managed more efficiently using options on volatility that were proposed in the past but were never introduced mainly due to the lack of a cost efficient tradable underlying asset the objective of this paper is to introduce a new volatility instrument an option on a straddle which can be used to hedge volatility risk the design and valuation of such an instrument are the basic ingredients of a successful financial product in order to value these options we combine the approaches of compound options and stochastic volatility our numerical results show that the straddle option is a powerful instrument to hedge volatility risk an additional benefit of such an innovation is that it will provide a direct estimate of the market price for volatility risk

losing sleep at the market the daylight saving anomaly reply motivated by the recent flurry of activity in sleep research this paper explores the connection between sleep disruptions following spring and fall clock shifts associated with daylight savings time and equity returns it is shown that the weekend effect in the form of the lower than expected friday to monday returns is particularly pronounced for the two weekends involving daylight savings clock changes this abstract was borrowed from another version of this item