简介:这篇论文在波动的环境下面探讨定价和库存补充策略的同时的决心。明确地,我们分析单个条款,周期的评论模型。需求由二部分组成:确定的部件,被价格影响,和随机的部件(不安)。随机的部件的分发由外长的Markov链的当前的国家被决定。在任何给定的时期被控告的价格能动态地被指定。一份补充订单可以被放在一些时期或所有的开始,并且无存货是充分backlogged。订是更低的semicontinuous,并且库存/积压事物的费用或剩余)与多项式生长是连续的费用。有限地平线、无限地平线的问题被处理。最佳的政策的存在被建立。而且,optimality(s,S,p)当订的费用由组成时,类型政策被证明修理,比例的费用部件和剩余花费了(这些费用都是州依赖者的)是凸的。关键词随机的库存管理-Markov链-定价-有限地平线-无限的地平线2000苏布杰克特先生分类90B05-90B06由国家天赋支持了中国的科学基础(号码70621061,号码70890082,号码70671100)并且北京交通的科学基础大学(2007RC014)。
简介:Thepurposeofthispaperistodiscusshowthevalueofhigh-techfirmcanberationallyvaluedbytakingintoaccountmanagerialflexibilitywhenitsfuturerevenueisuncertain,therebythefirm'smanagercanmakerationalinvestmentdecisionS.Usingstochasticcontroltheory,thepaperwillpresentthatthefirm'svaluesatisfiesapartiallydifferentiateequation,andanalyzethemanagerialflexibilityvaluewithinaframeworkofreal-optionanalytictheorey.Finally,thecomparativestaticanalysisandthemodel'ssimpleapplicationaregiven.
简介:Acompoundoptionissimplyanoptiononanoption.Inthisshortpaper,byusingamartingaletechnique,weobtainananalyticalformulaforpricingcompoundEuropeancalloptions.Numericalresultsaregiventoexplainsomeeconomicphenomenon.
简介:0.IntroductionandSummaryThecelebratedpapersof[2]and[3],pavedthewayforpricingoptionsonstocks,onthebasisofthefollowingprinciple:inacompletemarket(suchastheoneinSection1.5),everycontingentclaimcanbeattainedexactlybyinvestinginthemarketandstartingwithala...
简介:Abstract.WeobtainaBlack-Scholesformulaforthearbitrage-freepricingofEu-ropeanCalloptionswithconstantcoefficientswhentheunderlylngstockgeneratesdividends.TohedgetheCalloption,wewillalwaysborrowmoneyfrombank.WeseetheinfluenceofthedividendtermontheoptionpricingviathecomparisontheoremofBSDE(backwardstochasticdi~erentialequation[5],[7]).WealsoconsidertheoptionpricingproblemintermsoftheborrowingrateRwhichisnotequaltotheinterestrater.ThecorrespondingBlack-Sdxolesformulaisgiven.Wenoticethatitisinfacttheborrowingratethatplaystheroleinthepricingformula.
简介:Binomialno-arbitragepricehaveamethodisthetraditionalapproachforderivativepricing,whichis,thecompletemodel,whichmakespossibletheperfectreplicationinthemarket.Riskneutralpricingisanappropriatemethodofassetpricinginacompletemarket.Wehavediscussedanincompletemarket,anon-transactionassetthatproducesincompletenessofthemarket.Aneffectivemethodofassetpricinginincompletemarketsistheundifferentiatedpricingmethod.ThistechniquewasfirstlyintroducedbyBernoulliin(1738)thesenseofgambling,lotteryandtheirexpectedreturn.Itisusedtocommandinvestors'preferencesandbetterreturnstheresultstheyexpect.Inaddition,wealsodiscusstheutilityfunction,whichisthecoreelementoftheundifferentiatedpricing.Wealsostudiedsomeimportantbehaviorpreferencesofagents,andinjectedexponentialeffectofriskaversioninthemodel,sothatthemodelwasnonlinearintheprocessofclaimsettlement.
简介:Thispaperproposesandmakesastudyofanewmodel(calledthe3/2plusjumpsmodel)forVIXoptionpricing.Themodelallowsthemean-reversionspeedandvolatilityofvolatilitytobehighlysensitivetotheactuallevelofVIX.Inparticular,thepositivevolatilityskewisaddressedbythe3/2plusjumpsmodel.Dailycalibrationisusedtoprovethattheproposedmodelpreservesitsvalidityandreliabilityforbothin-sampleandout-of-sampletests.Theresultsshowthatthemodelsarecapableoffittingthemarketpricewhilegeneratingpositivevolatilityskew.
简介:ThepapermodelsthearrivalofheterogeneousinformationduringR&DstagesasadoublystochasticPoissonprocess(DSPP).Thenewproductmarketintroductionisthoughtofasoptiononanoption(acompoundoption).ThispaperderivesananalyticapproximationvaluationformulafortheR&Doption,anddemonstratesthattheaccountsforheterogeneousinformationarrivalmayreducethepricingbiases.Thisway,thegapbetweenrealoptiontheoryandthepracticeofdecisionmakingwithrespecttoinvestmentinR&Disdiminished.
简介:在这份报纸,我们在一个减少的形式模型与counterparty信用风险学习大祸选择的价格。我们假设损失过程被一个二倍地随机的泊松过程产生,股票价格过程通过被相关到损失过程,利率过程和缺省的一个跳散开过程被建模紧张过程通过Vasicek模型被建模。我们在一个减少的形式模型为定价大祸选择导出关上的形式公式。而且,我们在明确的公式上使一些成为数字分析。
简介:UndertheassumptionoftheunderlyingassetisdrivenbythemixedfractionalBrownianmotion,weobtainthemixedfractionalBlack-ScholespartialdifferentialequationbyfractionalItoformula,andthepricingformulaofperpetualAmericanputoptionbythispartialdifferentialequationtheory.
简介:Inthispaper,weestablishedaCapitalAssetPricingModel(CAPM)subjecttotheassumptionthattheassetreturnratesobeysymmetricstableParetiandistributions.Thisassumptionseemstobeclosertorealitythanthestandardonessuchasnormalityorfinitevariance.ConclusionsimilartotheoriginalCAPMformulaisdrawninthispaper.
简介:Inthispaper,wederivetwogeneralparameterizedboundariesoffinitedifferenceschemeforVee’sPDEwhichisusedtopricebothfixedandfloatingstrikeAsianoptions.Usingthesetwoboundaries,wecandealwithallkindsofsituations,especially,someextremecases,likeoverhighvolatility,verysmallvolatility,etc,underwhichtheAsianoptionisusuallymispricedinmanyexistingnumericalmethods.Numericalresultsshowthatourboundariesareprettyefficient.