简介:Exercise-pricepolicyisperhapsthecentraldesignissueregardingnontradableExecutiveStockOptions(ESO).Inthispaper,wegivethevaluelineofESO,V(P),andtherangeoftheincentive-maximizingexercisepriceswhichisdefinedastheexercisepricesthatgenerateincentives,εn(P)/εP,within1percentofthemaximumusingthe“certaintyequivalence”approach,similartothatadoptedbyRichardLambertetal..Ourresultsshowthat,holdingconstantthecompany'scostofmakinganoptiongrant,incentivesaremaximizedbysettingexercisepriceswithinarangethattypicallyincludesthegrant-datemarketprice.
简介:Thispaperdealswiththeissueofprioritysettinginhealthcareunderuncertaintiesabouttheseverityoftheillnessandtheeffectivenessofmedicaltreatment.Weexaminetheeffectofadiseaseuncertainty(atreatmentuncertainty)ontheallocationofhealthcareresourcesinthepresenceofatreatmentrisk(adiseaserisk)andidentifypreferenceconditionsunderwhichthesocialplannerallocatesmoreresourcestohigherriskpopulation.Weallowforthesimultaneouspresenceoftworisksandinvestigatethejointeffectoftwo-sourceuncertaintiesonhealthcareallocationwhenthetworisksareeithersmallorpositivelyquadrantdependent.Theeffectofinequalityaversiononhealthcareallocationisalsoanalyzedbyintroducinganequityweightingfunction.Ourworkextendsthepreviousmodelofhealthcareprioritytotwo-riskframeworkandprovidesnewinsightsintotheproblemofhealthcaredecisionmakingunderuncertainty.
简介:Weconsideranewsvendorproblemwithprice-dependentdemand,ineitheradditiveormultiplicativeformat.Thenewsvendorhastwomodesofpurchasing:regularorderingatthebeginningofthesellingseasonandemergencyordering(iftherealizeddemandexceedstheinitialorderquantity)attheendofthesellingseason.Bystochasticcomparisons,wesystematicallyinvestigatetheeffectsofdemandmagnitudeanddemandrandomnessonpricingandorderingquantitydecisionsaswellasexpectedprofitofthenewsvendor,underbothusualstochasticorder(firstorderstochasticdominance)andconvexorder(lessvariable).Ourkeyfindingsinclude:(i)incontrarytothecasewherepriceisexogenous,astochasticallylargerdemandshockmayevenleadtoalowerorderquantity;(ii)astochasticallylargerdemandshockleadstoahigherpricefortheadditivedemandcase,butmayleadtoalowerpriceforthemultiplicativedemandcase;(iii)astochasticallylargerdemandshockleadstoahigherexpectedprofitforbothdemandmodels;(iv)ingeneral,alessvariabledemandleadstoahigherexpectedprofitforbothdemandmodels;andfurthermore,alessvariabledemandshockhasnoeffectonpricefortheadditivedemandmodel,butleadstoahigherpriceforthemultiplicativedemandmodel.Theimplicationsofallthesefindingsforpricingandorderquantityarediscussedindetail.
简介:Inthispaper,weconsideranewsvendormodelinwhicharisk-aversemanagerfacesastochasticprice-dependentdemandineitheranadditiveoramultiplicativeform.Anemergencypurchaseoptionisallowedaftertherealizationofdemandtosatisfytheunitsthatareshort.Byadoptingconditionalvalue-at-risk(CVaR)asthedecisioncriterion,weaimtoinvestigatetheoptimalpricingandorderingdecisions,andtheeffectsofparameterchangesinsuchasetting.Weprovidesufficientconditionsfortheuniquenessoftheoptimalpolicyforbothdemandmodels.Weperformcomparativestaticsanalysistoshowhowtheoptimalpricingandorderingdecisionbehaveswhenchangingparameters.WealsocompareourresultswiththoseofthenewsvendorwithageneralutilityfunctionandwithCVaRcriterionunderlostsalesassumption.Ourkeyresultsinclude:(i)Forbothdemandmodels,theoptimalsellingpriceisdecreasinginriskaversion.Hence,theoptimalpriceofarisk-aversenewsvendorisnotgreaterthantheoptimalpriceofarisk-neutralnewsvendor.(ii)Incontrarytothelostsalescase,forthemultiplicativedemandmodel,theoptimalorderquantitymaynotbemonotonicinriskaversion.Consequently,theoptimalrisk-averseorderquantitymaybelowerorhigherthantheoptimalrisk-neutralcounterpart.(iii)Fortheadditivemodel,theoptimalorderquantityisstrictlyincreasingintheemergencypurchaseprice,whileforthemultiplicativemodeltheoptimalorderquantityhasnosuchamonotonicproperty.Somenumericalexamplesareconductedtoverifyourclaimsandgainmoreinsightsabouttherisk-aversedecision-makingbehaviors.