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The Impact of Sales-practice Startup Dynamics on Sales-force Productivity James Houghton, Michael Siegel, Mohammad Jalali 1 , Allan Campbell, Dennis Fialho 2 Abstract: The problem of sales force turnover has been extensively studied; its causes amongst psychological, managerial, and workplace conditions have been examined. In this paper, we explore a structural cause of turnover related to the startup dynamics of a sales agent’s practice and propose structural interventions for turnover’s amelioration. Our interrogatory technique utilizes a formal simulation model of the sales agent’s startup dynamics. With the help of this model, we study how variances in the agent’s resource base (skill, natural market, and lifestyle buffer) influence their three-year survival rates and overall career productivity. We show that a pure commission-based compensation policy selects a sales force optimized for surviving startup dynamics, not for long-term profitability. We examine a mix of policy interventions designed to align the sales force with a company’s long-term interest. Introduction The problem of sales force turnover has been extensively studied; and its causes amongst psychological, managerial, and workplace conditions have been examined. In this paper, we describe a possible structural cause of turnover related to the startup dynamics of a sales agent’s practice, investigate the implications of our hypothesis, and propose structural interventions for turnover’s amelioration. Because of the magnitude of costs turnover imposes, a wealth of studies have investigated the proximal causes of this turnover with an eye to policy intervention. These studies take two general perspectives: elements that vary with the workplace, and elements that vary with the individual sales agent. We can get a sense for the diversity of this literature with a brief survey of the causal mechanisms considered. Focusing on the workplace, Lucas et al. cite the impact of supervisory consideration, intrinsic and extrinsic job satisfaction, and task-specific self-esteem (Lucas, Parasuraman, Davis, & Enis, 1987). Seligman and Schulman discuss how learned 1 Sloan School of Management at the Massachusetts Institute of Technology. Contact {houghton, msiegel, jalali}@mit.edu 2 Massachusetts Mutual Life Insurance Company

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Page 1: The impact of sales-practice startup dynamics on sales ... · The Impact of Sales-practice Startup Dynamics on Sales-force Productivity James Houghton, Michael Siegel, Mohammad Jalali1,

TheImpactofSales-practiceStartupDynamicsonSales-forceProductivityJamesHoughton,MichaelSiegel,MohammadJalali1,AllanCampbell,DennisFialho2

Abstract:Theproblemofsalesforceturnoverhasbeenextensivelystudied;itscausesamongstpsychological,managerial,andworkplaceconditionshavebeenexamined.Inthispaper,weexploreastructuralcauseofturnoverrelatedtothestartupdynamicsofasalesagent’spracticeandproposestructuralinterventionsforturnover’samelioration.Ourinterrogatorytechniqueutilizesaformalsimulationmodelofthesalesagent’sstartupdynamics.Withthehelpofthismodel,westudyhowvariancesintheagent’sresourcebase(skill,naturalmarket,andlifestylebuffer)influencetheirthree-yearsurvivalratesandoverallcareerproductivity.Weshowthatapurecommission-basedcompensationpolicyselectsasalesforceoptimizedforsurvivingstartupdynamics,notforlong-termprofitability.Weexamineamixofpolicyinterventionsdesignedtoalignthesalesforcewithacompany’slong-terminterest.

IntroductionTheproblemofsalesforceturnoverhasbeenextensivelystudied;anditscausesamongstpsychological,managerial,andworkplaceconditionshavebeenexamined.Inthispaper,wedescribeapossiblestructuralcauseofturnoverrelatedtothestartupdynamicsofasalesagent’spractice,investigatetheimplicationsofourhypothesis,andproposestructuralinterventionsforturnover’samelioration.Becauseofthemagnitudeofcoststurnoverimposes,awealthofstudieshaveinvestigatedtheproximalcausesofthisturnoverwithaneyetopolicyintervention.Thesestudiestaketwogeneralperspectives:elementsthatvarywiththeworkplace,andelementsthatvarywiththeindividualsalesagent.Wecangetasenseforthediversityofthisliteraturewithabriefsurveyofthecausalmechanismsconsidered.Focusingontheworkplace,Lucasetal.citetheimpactofsupervisoryconsideration,intrinsicandextrinsicjobsatisfaction,andtask-specificself-esteem(Lucas,Parasuraman,Davis,&Enis,1987).SeligmanandSchulmandiscusshowlearned1SloanSchoolofManagementattheMassachusettsInstituteofTechnology.Contact{houghton,msiegel,jalali}@mit.edu2MassachusettsMutualLifeInsuranceCompany

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helplessnessencouragesquitting(Seligman&Schulman,1986).Schwepkerdescribestheimpactofthesalesorganization’sethicalclimate(Schwepker,2001).Sagerconsiderstheimpactofjobstressandsatisfaction,perceptionoffairness,andcomparisonwithotherjobs(Sager,1991).Jaramilloexplorestheimpactofwastedtimeonindividualattitudes(Jaramillo,2006),BabakusandCravensinvestigatetheroleofemotionalexhaustion(Babakus&Cravens,1999),whileRobertsandChonkocontinuetheexplorationbylookingatpaysatisfaction(Roberts&Chonko,1996).MorganandInksdescribetheimpactsonturnoverofsalesforceautomation(Morgan&Inks,2001).Concernedwiththeindividual,RussandMcNeillystudycharacteristicsofexperience,gender,andperformance(Russ&McNeilly,1995),whileIngramandLeeconsiderindividualcommitment(Ingram&Lee,1990).ParasuramanandFutrellinvestigatedemographicimpacts(Parasuraman&Futrell,1983).TyagiandWotrubainvestigatedtheimpactofindividualdispositionsontheworkplaceconditionsassociatedwithturnover(Tyagi&Wotruba,1993).Despitesuchexhaustivecharacterization,missingfromthisliteratureisadiscussionofhowthestructureofacommission-basedsalespracticeitselfcreatesdynamicsthatfavorhighratesofturnover.

CaseStudyTomakeourinvestigationconcrete,wefocusourattentiononlifeinsurancesalesagentswhoarepaidoncommission.Thelifeinsuranceindustryhasnotoriouslyhighratesofsalesforceturnover,withestimatesfromtheLifeInsuranceResearchandMarketingAssociationplacingfour-yearretentionratesfornewagentsat16%in1992(Weeks,1995),and13%in2014(Leary,2014),givingourcasestudybothrelevanceandpower.

DataCollectionTounderstandthestartupdynamicsofanewagent,weconductedaseriesofsemi-structuredinterviewswithrepresentativesfromourcasestudy’shomeoffice.During6onetotwo-hourin-personinterviewsconductedoverthecourseofseveralmonths,wemetwith8differentexecutivesresponsibleforInformationTechnology,MarketingandPromotion,DigitalandCustomerService,InsightsandAnalytics,andOperations.Webeganwithopen-endedquestionsdesignedtoelicitanunderstandingofthesalesagents’behavior,drawingoneachorganization’suniqueperspective.Wethenengagedtheintervieweesincollaborativemodel-buildingexercisedesignedtoelicittheirunderstandingofthestructureofinteractionsandfeedbacksthatdrovetheagent’sstartupdynamics.Finally,weaskedspecific,quantitativequestionsaboutvariouscomponentsofourmodel.Weadditionallyconductedapproximately10one-hourinterviewswiththeseexecutivesbyteleconferenceaswerefinedourmodels,seekinginputintovariousstructuralcomponentsofoursimulationandelicitingvaluesforroughparameterization.

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Lastly,weconductedasetofone-hourin-personinterviewswitheachoffoursalesagentsatvariousstagesintheircareers,andwithageneralmanageroftheirsalespractice.Intheseinterviewsweaskedaseriesofopen-endedquestionsdesignedtoassessthecongruencebetweenourunderstandingofthesalesagentstartupdynamicsandthatexperiencedbytheagentsthemselves.Wethenaskedspecific,quantitativequestionsdesignedtoelicitparametervaluesanduncertaintiesforoursimulationmodel.

QuestionsandHypothesesArisingfromInterviewsInterviewswithsalesagentsrevealedthatvoluntarydeparturecouldoccurforindividualswhowerenotdissatisfiedwiththeworkitselfbutwereunabletogettheirpracticessuccessfullyestablished.Eachnewsalesagententeredthepracticewithasocialorfinancial‘buffer’thatallowedthemtomeetexpensesuntiltheycouldcountoncommissionfortheirincome.Ifanagentcouldnolongermakethiswork,theymightbeforcedtogiveupthepotentiallyhighrewardsoffuturecommissionsforimmediateincome.Agentswhoremainedtermedthisthe“fail-out”dynamic;wewillconsideritsexistenceasourfirsthypothesisinthispaper.

Giventhishypothesis,managerswereconcernedwiththreequestions:1)howcanweunderstandthedynamicsofstartingupasalespractice?2)whatpoliciescouldbeimplementedtoreduce‘fail-out’?and3)whatimplicationsdothestartupdynamicshaveonthequalityofthesalesforce?Respondingtothisneed,wechosenotattempttodeterminethemagnitudeofthefail-outeffecteitherabsolutelyorincomparisontoothercausesofturnover,butmerelytodeterminetheinternalconsistencyofthehypothesisanditscorrespondencetotheobservedeffect.Tounderstandthisdynamic,wechosetosimulatetheagent’sstartupprocesswithadynamicmodelandtestedvariouspoliciesagainstapopulationofsimulatedagents.

StartupDynamicsInthispaperweconsidersalesagentswhoarepaidcommissionbaseduponthenumberandvalueofthesalestheymakeincategoriesofinsuranceproducts.Whenagentswithnopriorsalesexperienceenterthefirm,theyaregiventraininginthecompany’sofferings,andbasicsalesstrategies.Theyarethensentforthtorecruitcustomers.Agentsbegintheirsaleseffortsbyreachingouttotheir‘naturalmarket’–thenetworkoffriends,family,andcolleagueswithwhomtheyhaveexistingrelationships.Membersofanagent’snetworkwhomayhaveinterestandmeanstopurchasetheproductareconsidered‘qualifiedleads’,towhomtheagentdevotestheirsalesefforttoconverttheminto‘clients’.Agentsmeetwiththeirclientsonan

Hypothesis1:Startupdynamicsforanewsalesagentconstitutearacetoearnsufficientincomebeforerunningoutofstartupbuffer.

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approximatelyannualbasisfollowingtheinitialsaletohelpreassesstheclientsappropriateproductmix.Duringthesemeetings,agentssolicit‘referrals’tofriendsandcolleaguesoftheirclients,inanattempttogeneratenewqualifiedleadsforfuturesales.Themakeupofthisnaturalmarketvaries,butbyandlarge,salestothese“Tier1”individualsaresmall,andtheirprimarybenefittotheagentistheirpotentialcontactswithindividualsofamorelucrativemarket.Bychance,asmallfractionofreferralswillbetoatierofindividualswithmoreresourcesattheirdisposal,andgreaterinclinationtobuyinsuranceproducts,asdiagrammedinFigure1.Salestoleadsinthissecondtiercanprovideacomfortablesourceofincometotheagent.

Giventhisstructure,thesurvivalofanagentinthesalesforcedependsupontheirabilitytoleveragetheirTier1‘naturalmarket’togainaccesstoasecondtierofpotentialcustomer,atwhichpointtheyareabletomeettheirexpenses.Oursecondhypothesisfollowsfromthis:

Inourinterviewswithagentsandmanagers,itbecameapparentthatthisprocessof‘naturalselection’wasperceivedasaselectionmechanismthatensuredthatonlyproductive,highlymotivatedindividualswouldremaininthesalesforce.Inthewordsofourinterviewees,tobeasalesagentisto“eatwhatyoukill”.Anewagentmust‘refusetofail’,andbepersistent‘whenyourbackisagainstawallandyou’rescrapingtogetalead’.Ifanagent‘mightnotmakeadollarforayear’they‘havetobeall-in’.

SelltoTier1

GetReferralsfromTier1

SelltoTier2

GetReferralsfromTier2

Tier1toTier1Referrals

Tier2toTier2Referrals

Tier1toTier2Referrals

Figure1:StartupDynamics-Anagentmustusesalestotheirtier1'natural'markettogainaccesstoandjumpstartsalesandreferralsamongsttier2clients.

Hypothesis2:Toearnalivableincomeandavoidfail-out,anagentmustleveragetheir‘naturalmarket’foraccesstoamorelucrativetierofleads.

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Whileemphasizingthecharacteristicsofpersonaldeterminationthatwerenecessaryforsuccessasasalesagent,ourintervieweesdescribedtheirownprocessforsurvivingthestartupdynamic.Somedescribedtheabilitytorelyonapersonalfinancialbuffertocovertheirexpenses.Othersdescribedanabilityandwillingnesstolivewithextremefrugalityordependuponfamilyorfriends.Itbecameapparentthatthesebufferscouldvaryinbothtypeandextentfromagenttoagent.Ourdiscussionswiththeagentssuggestedthesecondhypothesisofourpaper:

Finally,inourmeetingswithsalesagentsandhomeofficemanagement,wewereexposedtotherealitythatevenforagentswhosuccessfullynavigatedthestartupdynamic,therecouldbealargedifferencebetweentopperformingagentsandthosewhoearnedamoremodestliving.Ourfourthandfinalhypothesisconcernsthisdisparity:

SimulationModelThroughourinterviewsweidentifiedthefeedbackstructuresresponsibleforcreatingthestartupdynamicbrieflysketchedinFigure1.Foreachagent,weconstructedasystemofdifferentialequationstotrackthestateofanagent’sstocksofleadsandclientsintheirnaturalmarket,asecondtiermarket,andathirdtiermarkettiersuperiortoboth3.Weconstructedamodelthatconformedtotheagent’sownunderstandingandlanguageforthestartupprocess.Insomeplacesfidelitytotheagents’mentalmodeladdsmathematicalcomplexitytotheequationstogainexplanatoryeffect.Baseduponfeedbackfromourinterviews,weconceptualizedtheallocationofanagent’stimeasbeingdistributedfirsttoservicingexistingclients,followedbysalestoleadsindescendingorderofvalue.Weconsideranagent’sbufferatanypointtobedrawnbyongoingexpendituresandbuiltupthroughcommissionsfromsalestoeachtierofleads.

3Whilefiguresareapproximate,onecouldthinkofTier1leadsasthosemaking~$50k/yr,Tier2asthosemaking~$500k/yr,andTier3asthosemaking5$MM/yr.clearlythegroupingsarearbitrarytosomedegreebutarerepresentativeenoughforthismodel.

Hypothesis3:Thestartupdynamicselectspartlyforagentswithskillanddetermination,andpartlyforindividualswithalargestartupbufferorabove-averagenaturalmarket.

Hypothesis4:The‘naturalselection’mechanismisaninferiormethodforoptimizingasalesforceforperformance.

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Thesystemofdifferentialequationsmakinguptheheartofthemodelappearsintheequationsbelow.Thefirstequationtrackstherateofsalesasdependentuponthelikelihoodofasuccessfulsaleandtheamountofeffortdevotedtosalesinaparticulartieralongwiththelossrateofclients.Thesecondequationtrackshowleadsareacquiredfromeachtier.Thethirdtrackstheimpactofcommissionandexpensesontheagent’sbuffer.

𝑑𝐶!𝑑𝑡 = 𝑠 ∙

𝑒!𝑒!− 𝐶!𝑙

𝑑𝐿!𝑑𝑡 = 𝐶!

!!!

!!!!!

∙ 𝑟 ∙ 𝑢!" ∙ 𝑞 − 𝑠 ∙𝑒!𝑒!− 𝐿!𝑓

𝑑𝐵𝑑𝑡 = 𝑠 ∙

𝑒!𝑒!!

∙ 𝑛! − 𝑥

Theparametersintheseequationsareasfollows:Ci ClientsinTieriLi LeadsinTieris Salesuccessrateei EffortdevotedtosellingtoleadsinTierieR Effortrequiredtomakeasalel Theaveragelifetimeofaclientq Thequalificationrateofnewleadsr Thereferralrateuij ThechancethatareferralfromTierjwillbeforaclientinTierif TheshelflifeofaleadB Thesalesagent’sbufferni IncomepersaletoaleadinTierix Monthlyexpenses

Weallocatethetimetheagentspendsfirsttoexistingclients,andthentoTier3,2,and1leadsindecreasingorderofpriority,eachuptothepointwheresalesarelimitedbythenumberofleadsavailable.Foramorecompletedescriptionofthetimeallocation,seeFigure13.Forsimplicityinmodeling,wechosetoomitfeedbacksthatencourageasuccessfulagenttobalancetheirworkloadandincomeexpectationsortoincreasetheirmonthlyexpenses.Agentscontinuetoworkatthepacetheysetwhilestrugglingtomakeitthroughthestartupdynamicandtheycontinuetospendasfrugallyastheydidinitially.Clearlythisassumptionisunrealistic,butitdoesnotimpactourdiscussionofagentfail-outrateandisusefulforassessingthepotentialforlong-termagentperformance,withoutintroducingcomplexitytothesystem.Wealsosimplifybymodelingthesizeofthebufferasamultipleofanagent’sconstant

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monthlyexpense,inorderavoidneedingtoprovideabsolutefiguresforcompensation.DiagramsofthefullmodelofstartupdynamicsarefoundinAppendixB:ModelStructure.ThefullsetofequationsformalizingthesystemdynamicsmodelisfoundinAppendixC:ModelEquations.Inourinterviewswithsalesagentsandsalesmanagers,weaskedourintervieweestoestimatearangesofvaluesforeachofthefreeparametersinthemodelastheyperceivedthemintheoverallbeginningsalesforce(notonlytheiruniqueexperiences).Intheabsenceofmeasurementsofthesysteminoperation,thesesubjectmatterexpertsgiveusasenseofthelikelyvarianceinbehaviorofthesystem.EstimatesofmodelparameterbaselinesanduncertaintyestimatesobtainedthroughourinterviewsarefoundinAppendixD:EstimatesofModelParameters.

AvoidingFail-outIndividualswithasignificantbuffertobeginwithareatanadvantage,andsomewillsucceedeveniftheirskill,effort,andnetworkresourcesarelow.Overall,therearemultiplewaysinwhichasalesagentcanavoidfailingoutbeforetheirbufferrunsdry:Forexample,individualswhohavebuiltupsavingsinprioroccupations,whoareabletolivewithfamily,orwhoarewillingtoliveextremelyfrugallyforthetimeittakestobuildupaclientbase.Wecansimulatethesehypotheticalindividualsinourmodelbyadjustingtheparametersfortheeffortrequiredtomakeasale(inverselyrelatedtoskill),timespentwithclients(determination),theinitialmixofleads(network)andstartupbuffer.Forexample,Figure2presentstheresultsofasimulationinwhichtheindividual’sbufferissteadilyerodeduntilmonth20,whentheirincomebeginstoexceedtheirexpenses.Figure2displayscompletestateinformationforthesystem,overthecourseofthefirst36monthsoftheagent’scareer.Thetopmostplotshowsthenumberofclientsthatthesimulatedagenthasacquiredineachofthethreetiers.Asreferralsaremodeledascomingfromexistingclients,thisfigureessentiallyrevealstheagent’sinstantaneouscapacitytogeneratenewleadsfromhisexistingnetwork.Weseethatoverthecourseofthesimulation,theagentdevelopsthiscapacityfirstamongstTier1clients,thenamongstTier2clients,andfinallybytheendofthesimulationisbeginningtobuildabaseofTier3clients.Thesecondplotshowsthenumberofleadsthatanagenthasatanygiventime.Thelastplotshowstheinstantaneousbufferthattheagenthasavailableinunitsofmonthsofexpenses.Ifthislinedropsatanypointbelowzero,theagentwillhave‘failedout’.

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Figure2:Alow-skill,low-effort,low-networkvaluesalesagentcanavoidfailurebyhavingasubstantial

buffer.45

Asalesagentmayalsoavoidfail-outifheorshecomesintothepositionwithaccesstoamorelucrativesetofleads.Figure3showstheresultsofasimulationinwhichalowskill/effortindividualwithanaveragebuffercanavoidfail-outonthestrengthofsomepreexistingTier2leadsthatallowthemtoworkthroughthestartupdynamicwithasmallnumberofTier2clientsinsteadofhavingtobeginwithalargernumberofTier1clients.

4Forparametervaluesusedintheseexploratorymodelruns,see:Appendix1:Parametervaluesforexplorationandpolicyruns:5PlotsandanalysisinthispaperweregeneratedusingPySD,atoolforconductinganalysisofsystemdynamicsmodelsusingpython.(Houghton&Siegel,2015)

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Figure3:Alow-skill,highernetworkvaluesalesagentcanavoidfailurewithanaveragebuffer.Inthis

casetheinitialclientbaseismadeupofTier2individuals.

FindingSuccessInthecasesabove,thesalesagentwasabletoavoidfail-out,buttheiroverallsuccessislimitedincomparisontosimulationswewillseenext.Truesuccessisnotmerelyavoidingfail-out,butdevelopingabaseofhightierclients.Thepathtothissuccessrequiresacombinationofeffortandskill.Figure4showsthestartupdynamicofaskilledindividualwithanaverage(6month)buffer.Weseethatafteravoidingfail-out,thesalesagentgoesontoestablishastrongbaseofclientswithinalltiers;bytheendofthesimulationtheagenthasdevelopedarobustnumberofTier3clientsandastronggrowthtrajectory.

Figure4:Ahighskill,highdeterminationindividualcansucceedwithanaveragebuffer.

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Despitebothskillandeffort,inthecaseoftheagentprofiledinFigure4weseethatthesimulatedsalesagentcomesperilouslyclosetofail-outataround9months,dueentirelytothestartupdynamicinvolvedincreatingaclientbase.Indeed,ifwereducethebufferofthisindividualfrom6to5monthsasseeninFigure5,theydoindeedfailoutofthesalesforce,astheirbufferdropsbelowzeroaroundmonth7.

Figure5:Evenhighskillindividualsmaybevulnerabletosmallchangesintheirstartupbuffer.

Thisscenarioisdetrimentaltoallpartiesinvolved:theagent’sexistingclientsarenow‘orphaned’andarestatisticallylikelytoabandonthefirm’sservices.Thefirmincursthecostofhiring,training,andmaintaininganewsalesagentandlosestherevenuethatwouldhavebeenbroughtinhadtheagentremained.Theagenthastoenteranewlineofworkwiththeirsafetybufferdepleted.

PolicyOptionsforSalesManagersFacedwiththerealizationthatanagent’snaturalstartupdynamicsmayeliminatehighachieverswhilelowerperformingagentssurviveonothermerits,whataretheoptionsavailabletothemanagerofsuchasalesforce?Onepolicywouldbetoputinplaceworkaidsdesignedtoimprovetheabilityofanagenttocompletesales.Thesemaybepoliciesthatlocateasalesagentintheheartofamajormetropolitanareatodecreasetraveltimeorprovidecustomerrelationshipmanagementsystemsthatreduceoverheadofdatamanagement.Forexample,ifbysomecombinationofmeans,thesalesmanagercutsoverheadtogivetheagent25%moretimewithleadsandclients,theagentwillnotfailoutandinadditionwillseegainstotheirlong-termperformance,asseeninFigure6.

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Figure6:Policiesthatgivetheagentahigherfractionaltime-on-taskmitigatefail-outriskandimprove

longtermperformance.

Anotherpolicyoptionisforthesalesmanagertosubsidizetheincomeoftheagentforsomenumberofmonths.InFigure7,weshowthatifasalesmanagerchoosestosubsidize25%oftheagent’sexpenses(insteadofreducingoverhead),theagentcanmakeitthroughthestartupdynamicandcontributetothefirm.

Figure7:Asmallstartupsubsidycancarryanagentthroughthestartupdynamics.

SalesForcePopulationAnalysisHavingansweredquestionsaboutthenatureofthestartupdynamic,andthegeneralpoliciesavailabletosalesmanagers,wenowturntothequestionofwhatthesedynamicsandpoliciesdotothesalesforceasawhole.Toexplorethis

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questionwe’llconstructahypotheticalpopulationof1000individualsidenticalinallbuttworespects.Thefirstdifferencewillbetovaryamongthepopulationthesizeoftheirstartupbufferaccordingtoauniformdistributionfrom0-14months.Theseconddifferencebetweenmembersofthesimulatedsalesforcewillbetovarytheamountoftimethatanagentmustspendwithaparticularlead(onaverage)beforethatleadwillcommittoapurchase.Wewillvarytheeffortrequiredforthemtomakeasaleaccordingtoauniformdistributionfrom0-16hours.Eachindividualcouldthusbeconsideredtooccupyapointinatwo-dimensionalparameterspace,withtheirindividualinitialbufferdefiningtheirlocationalongahorizontalaxis,andtheirskill(asrepresentedbyhowlongittakesthemtomakeeachsale)ontheverticalaxis.Usingourthree-tiermodel,wesimulatethebehaviorofaneachagentfor36months.Iftheagentfailsoutofthesalesforcebeforetheendofthe36months,wecoloramarkerattheirlocationinthetwo-dimensionalparameterspacered.Iftheyavoidfailurefor36months,wecolorthemgreen.Thegeneralpatternshowninouranalysisisthatindividualswitheitherahighinitialbufferoralowamountofeffortrequiredtomakeasale(thereforehighskill)areabletoavoidfailingoutofthesalesforce.Weseethatawholegroupofhighskilledindividuals(lowrequiredeffort)failoutbecausetheydonothaveasufficientbuffertosurvivethestartupdynamic.Separatingtheagentswhofailoutfromthosewhodonotisalinewemightcallthe‘failurefront’.Thegoalofasalesmanagershouldbetoshiftorreshapethisfailurefronttoincludealargerproportionofhighskilledagents.

Figure8:Apopulationof1000agentswithdefaultvaluesforallparametersexceptingtheinitialbuffer

andtimetomakeasale.

InthebaselinecaseseeninFigure8,wesimulatethepopulationwithoutanyaddedmanagementpolicy.Forourtoypopulation,weseeafail-outrateof73%,meaningthat73%ofindividualswhostartworkwillneedtostartoverwithanemptybuffer.

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Onaverage,justover11clientsareorphanedforeveryagentwhobeginstheprocess.Fromacustomersatisfactionperspective,thisisanumbertominimize.Lastly,weseeanaverageof16.2non-orphanedTier3clientsforeachagentwhobeginstheprocess.Thisspecificmetricgivesusthebestestimateofthefinancialperformanceofoursalesforce.Implementingpoliciesdesignedtoreduceoverheadandthusincreasingtimeavailabletospendwithleadsorclientsby25%scalesthefailurefrontvertically,asseeninFigure9.Inthiscaseweseeanequalpercentageincreaseinthepopulationoflow-bufferindividualsasofhigh-bufferindividuals.Weseeaslightimprovementinretentionandproductivity,butcounter-intuitively,aslightworseningintheaverageratethatclientsareorphaned.Thisworseningisduetothefactthatagentswhofailoutacquireslightlymoreclientsbeforetheydoso.

Figure9:Improvingtheagent'stime-on-taskscalesthefailurefrontvertically

Ifinsteadofreducingoverhead,thesalesmanagerchoosestoprovideasubsidytonewagentsat30%oftheirmonthlyexpensesfor6monthsasinFigure10,weseethefailurefrontshifttotheleft(essentiallyby6months*25%).Becausethefailurefrontisconcave-up,thisleftwardshiftofthefailurefrontimpliesalargerfractionalincreaseinhigh-bufferindividualsthanlow-bufferindividuals.Whileweseelargerimprovementinagentretention(andcorrespondinglyinthenumberoforphanedclients),smallergainsoccurinproductivityasindicatedbyTier3clients.

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Figure10:Providingastartupsubsidytonewagentsshiftsthefailurefronttotheleft.

Thistoypopulationhasbeenhelpfulfordemonstratingthequalitativeimpactofvariouspoliciesontheperformancemetricswehaveidentified.Itisnot,however,representativeoftheactualpopulationofnewagents.Whenwesimulateoverapopulationwithparametersdrawnindependentlyfromthedistributionsforpopulationparametersestimatedfromourinterviewresponses,weseesimilarpatternsofresults,albeitwithdifferentmagnitudes,asseeninTable1.

Table1:Simulatedresultsonapopulationmorerepresentativeoftheobservedsalesforce.

Policy Baseline OverheadReduction

StartupSubsidy

AgentRetention

0.1(100%)

0.13(128%)

.21(206%)

Fail-outRate 0.9(100%)

.87(97%)

.79(88%)

OrphanedClientsperAgentStart

0.8(100%)

1.0(123%)

1.17(148%)

Tier3ClientsperAgentStart

3.5(100%)

5.2(150%)

7.6(218%)

Tier3ClientsperContinuing

Agent

33.8(100%)

39.8(118%)

35.8(106%)

Thegeneralsimilarityinresultsheregivesconfidencethatthelessonsregardingdynamicsandpolicyinterventionsthatwedrewfromourtoypopulationmaybevalidforpopulationswithdistributionsofattributescloser(althoughbynomeansidentical)tothetruepopulationofagents.

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DiscussionThehypothesisthatstartupdynamicscontributesignificantlytonewsalesagentfail-outisconsistentwiththementalmodelsofsalesagentsandsales.SimulatingthebehaviorofasinglesalesagentrevealsthattheraceoftheagenttogenerateTier2andTier3leadsbeforefullyexhaustingtheirbufferisareasonableexplanationfortheobservedfail-outbehavior.Increasedefficiencyisshowntoamelioratefail-outandimprovelong-termperformancebyincreasingtherateatwhichtheagentcangeneratenewleads.Startupsubsidiesareshowntoamelioratefail-outbyextendingthetimeavailablefortheagenttomakethetransitiontoaTier2market.Insimulatedagentpools,thefail-outprocessselectsforacombinationofskillandstart-upbufferinwaysthatexcludeanumberofhigh-skilledindividualsandincludeanumberofindividualswhosucceedbyhavingalargestartupbufferorahigh-valuestartingnetwork.Whilecommission-basedcompensationforsalesagentsmayhaveamotivatingeffectforestablishedagents,thestartupdynamicsassociatedwithbuildinganetworkandclientbaseapplyselectionpressuresonthesalesforcethatareonlyweaklyalignedwithselectingforproductivity.Policiesthatsupportindividualagentsthroughthestartupdynamiccanimproveretentionrate,averageskill,andtotalproductivity.

ConclusionThispaperconstructsaplausiblecausalmodelforthesalesagent’sstartupdynamicanditsimpactonsales-agentfailout.Throughsimulation,weshowthatthestructuralunderstandingofthestartupdynamicrevealedbyourinterviewsubjectsleadstoanoutcomethatisconsistentwithobservedfail-outbehavior.Wehavedemonstratedtheimpactoftwopossiblecorrectionstrategiesattheindividuallevel,andontheproductivityofthesales-forceasawhole.Furtherresearchisneededtobuildadditionalconfidenceinthesehypotheses.Ofparticularhelpwouldbealongitudinalstudyofanumberofsalesagentsfromdayonethrougheitherfail-outorafixedfuturetime,trackingtheirleadsandclientsinanumberofdifferenttiers.Whileitwouldbedifficulttoassessanagent’sstartupbuffer,ifconductedcarefully,anexperiementcouldbeconductedtotesttheimpactofsubsidizationorefficiencyimprovingtoolsonimprovingthefail-outrate.

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Parasuraman,A.,&Futrell,C.(1983).Demographics,jobsatisfaction,andpropensitytoleaveofindustrialsalesmen.JournalofBusinessResearch.Retrievedfromhttp://www.sciencedirect.com/science/article/pii/0148296383900371

Roberts,J.,&Chonko,L.(1996).Paysatisfactionandsalesforceturnover:Theimpactofdifferentfacetsofpayonpaysatisfactionanditsimplicationsforsalesforcemanagement.JournalofManagerialIssues.Retrievedfromhttp://www.jstor.org/stable/40604098

Russ,F.A.,&McNeilly,K.M.(1995).Linksamongsatisfaction,commitment,andturnoverintentions:Themoderatingeffectofexperience,gender,andperformance.JournalofBusinessResearch,34(1),57–65.doi:10.1016/0148-2963(94)00042-D

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Schwepker,C.H.(2001).Ethicalclimate’srelationshiptojobsatisfaction,organizationalcommitment,andturnoverintentioninthesalesforce.JournalofBusinessResearch,54(1),39–52.doi:10.1016/S0148-2963(00)00125-9

Seligman,M.,&Schulman,P.(1986).Explanatorystyleasapredictorofproductivityandquittingamonglifeinsurancesalesagents.JournalofPersonalityandSocialPsychology.Retrievedfromhttp://psycnet.apa.org/journals/psp/50/4/832/

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AppendicesThemodels,data,andanalysisscriptsusedinthispaperareavailableathttps://github.com/JamesPHoughton/sales_agent_startup_dynamics.Thesemodelsarebaseduponthe‘systemdynamics’paradigm,whichformalizesdifferentialequationsandfeedbackstructuresinaformataccessibleandappropriateforuseinsociologicalandstrategicanalysis.Forfurtherdiscussionoftheparadigm,see(Sterman,2000).

Appendix1:Parametervaluesforexplorationandpolicyruns:ThefollowingtableliststheparametervaluesthatwereusedtogeneratesimulationrunsthatweredescribedaboveinthesectionsAvoiding,FindingSuccess,andPolicyOptionsforSalesManagers.ParametersnotlistedarebaselinevaluesasdescribedinAppendixD:EstimatesofModelParameters.Parameter Figure

2Figure3

Figure4

Figure5

Figure6

Figure7

StartupSubsidy 0.0 0.0 0.0 0.0 0.0 0.25LengthofStartupSubsidy 0.0 0.0 0.0 0.0 0.0 6.0FractionofEffortforSales 0.2 0.2 0.3 0.3 0.375 0.3EffortRequiredtoMakeaSale 4.0 4.0 2.0 2.0 2.0 2.0TotalEffortAvailable 200 200 250 250 250 250InitialBuffer 14 6 6 5 5 5InitialTier1Leads 100 90 100 100 100 100InitialTier2Leads 0 10 0 0 0 0

AppendixB:ModelStructureTounderstandthestartupdynamicsofanewagent,weconductedaseriesofinterviewswithrepresentativesfromourcasestudy’shomeoffice.Overthecourseofseveralmonths,werealizedastructurethatincludedthedynamicsofanagent’sclientbaseasdisaggregatedintoanumberof‘tiers’ofclientsthateachrepresentsdifferentincomelevels,salesize,andpayofffortheagent,asseeninFigure11.Wethenmodeledtheagent’s‘startupbuffer’,simplyasanaccountthatisdrawndowncontinuallybymonthlyexpenses,andisrebuiltthroughvariousamountsofcommissionasseeninFigure12.Lastly,wemodeltheallocationoftimethatanagentgivestovarioustasks,prioritizingserviceofexistingcustomersovernewsales,andsalestohighvalueleadsoverlow-valueleads,asseeninFigure13.

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Figure11:Thesalesdynamicportionofthemodelformalizestheagents'understandingofhowonetierofleadsandclientscanhelpdevelopanothertier.

Tier 1 Leads Tier 1 ClientsTier 1 SalesTier 1 Lead Aquisition Tier 1 Client Turnover

Tier 1 Referrals

Referrals from Tier1 Clients

Tier 1 LeadsGoing Stale

Tier 2 Leads Tier 2 ClientsTier 2 SalesTier 2 Lead Aquisition Tier 2 Client Turnover

Tier 2Referrals

Referrals from Tier2 Clients

Tier 2 LeadsGoing Stale

Tier 2 Referralsfrom Tier 1

<Up referralfraction>

Tier 3 Referralsfrom Tier 2

Tier 1 Referralsfrom Tier 2

<Flat referral fraction>

<Minimum Time toMake a Sale>

<Effort Required toMake a Sale>

Tier 3 Leads Tier 3 ClientsTier 3 SalesTier 3 Lead Aquisition Tier 3 Client Turnover

Tier 3 Referrals

Referrals from Tier3 Clients

Tier 3 LeadsGoing Stale

Tier 2 Referralsfrom Tier 3

<Minimum Time toMake a Sale>

<Effort Required toMake a Sale>

<Up referral fraction>

<Down referralfraction>

<Down referralfraction>

<Minimum Time toMake a Sale>

<Effort Devoted toTier 1 Leads>

<Effort Required toMake a Sale>

<Effort Devoted toTier 2 Leads>

<Effort Devoted toTier 3 Leads>

<Referrals permeeting>

<Frequency ofMeetings>

<Frequency ofMeetings>

<Frequency ofMeetings>

<Referrals permeeting>

<Referrals permeeting>

<Lead ShelfLife>

<Lead ShelfLife>

<Lead ShelfLife>

<Client Lifetime>

<Client Lifetime>

<Client Lifetime>

<Success Rate>

<Success Rate>

<Success Rate>

<QualificationRate>

<QualificationRate>

<QualificationRate>

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Figure12:Thefinancialbufferportionofthemodelformalizesanabstractrepresentationoftheagentsincomeandexpenses.

Figure13:Thepriorityallocationsectionofthemodelformalizesthewayagentsdistributetheirtimeamongstservicingexistingclientsandmakingnewsales.Effortisfirstdedicatedtoexistingclients,andthenapportionedinorderofpriority.

<Tier 1 Sales>

<Tier 2 Sales>

<Tier 3 Sales>

Months of Expensesper Tier 2 Sale

Months of Expensesper Tier 1 Sale

Months of Expensesper Tier 3 Sale

Months ofBufferIncome Expenses

Tier 1 Income

Tier 2 Income

Tier 3 Income

Startup Subsidy

Startup Subsidy Length

<Time>

Still Employed

Initial Buffer

Effort Devoted toTier 1 Leads

Effort Devoted toTier 2 Leads

Effort Devoted toTier 3 Leads

<Sales EffortAvailable>

<Tier 2 Leads>

<Tier 3 Leads>

<Tier 2 Clients>

<Tier 1 Clients>

<Tier 3 Clients>

<Frequency ofMeetings>

<Time per ClientMeeting>

Effort Devoted toTier 3 Clients

Effort Devoted toTier 2 Clients

Effort Devoted toTier 1 Clients

<Time per ClientMeeting>

<Time per ClientMeeting>

<Frequency ofMeetings>

<Frequency ofMeetings>

Time per ClientMeeting

Effort Remainingafter ServicingExisting Clients

<Effort Required toMake a Sale>

Effort Remaining afterServicing Tier 3 Leads

<Effort Required toMake a Sale>

Effort Remaining afterServicing Tier 2 Leads

Sales Effort Available

Fraction of Effortfor Sales

Total EffortAvailable

<Still Employed>

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AppendixC:ModelEquationsEffortDevotedtoTier2Leads= MIN(EffortRemainingafterServicingTier3Leads,EffortRequiredtoMakeaSale*\ Tier2Leads/MinimumTimetoMakeaSale) ~ Hours/Month ~ Thisistheamountoftimetheagentspendswithatier2leadinagiven\ year,workingtomakeasale. |EffortDevotedtoTier3Leads= MIN(EffortRemainingafterServicingExistingClients,EffortRequiredtoMakeaSale\ *Tier3Leads/MinimumTimetoMakeaSale) ~ Hours/Month ~ Thisistheamountoftimetheagentspendswithatier1leadinagiven\ year,workingtomakeasale. |QualificationRate= 1 ~ Persons/Referral ~ Whatisthelikelihoodthataleadwillbeworthpursuing?Someleads\ mightnotbeworthyoureffort.Accordingtointerviewees,leadsthatare\ properlysolicitedandintroducedarealmostalwaysworthfollowingup\ with. |Tier1LeadAquisition= QualificationRate*(Tier1Referrals+Tier1ReferralsfromTier2) ~ Persons/Month ~ Howmanynewtier1leadsdoesanagentnet? |Tier2LeadAquisition= QualificationRate*(Tier2Referrals+Tier2ReferralsfromTier1+Tier2ReferralsfromTier3\ ) ~ Persons/Month ~ Howmanynewtier2leadsdoesanagentnet? |Tier3LeadAquisition= QualificationRate*(Tier3Referrals+Tier3ReferralsfromTier2) ~ Persons/Month ~ Howmanynewtier3leadsdoesanagentnet? |SuccessRate= 0.2 ~ Dmnl ~ Whatisthelikelihoodthatagivenleadwillbecomeaclient,ifthe\ agentdevotestheappropriateamountofattentiontothem? |Tier1Sales= SuccessRate*MIN(EffortDevotedtoTier1Leads/EffortRequiredtoMakeaSale,Tier1Leads\ /MinimumTimetoMakeaSale) ~ Persons/Month ~ TherateatwhichTier1leadsbecomeclients.Thisislimitedeitherby\ theeffortoftheagent,orthenaturalcalendartimerequiredtomakea\ sale. |

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Tier3Sales= SuccessRate*MIN(EffortDevotedtoTier3Leads/EffortRequiredtoMakeaSale,\ Tier3Leads/MinimumTimetoMakeaSale) ~ Persons/Month ~ TherateatwhichTier3leadsbecomeclients.Thisislimitedeitherby\ theeffortoftheagent,orthenaturalcalendartimerequiredtomakea\ sale. |Tier2Sales= SuccessRate*MIN(EffortDevotedtoTier2Leads/EffortRequiredtoMakeaSale,Tier2Leads\ /MinimumTimetoMakeaSale) ~ Persons/Month ~ TherateatwhichTier2leadsbecomeclients.Thisislimitedeitherby\ theeffortoftheagent,orthenaturalcalendartimerequiredtomakea\ sale. |StillEmployed= IFTHENELSE(MonthsofBuffer<0,0,1) ~ Dmnl ~ Flagforwhethertheagentisstillwiththefirm.Goestozerowhenthe\ bufferbecomesnegative. |Income= Tier1Income+Tier2Income+Tier3Income+IFTHENELSE(Time<StartupSubsidyLength\ ,StartupSubsidy,0) ~ Months/Month ~ Thetotalincomefromcommissionsonsalestoalltiers. |EffortDevotedtoTier1Clients= Tier1Clients*TimeperClientMeeting*FrequencyofMeetings ~ Hours/Month ~ Howmuchtimedoestheagentdevotetomeetingsformaintenanceand\ solicitingreferralsfromTier1Clients. |Tier1Income= Tier1Sales*MonthsofExpensesperTier1Sale ~ Months/Month ~ ThisistheamountofmoneyanagentmakesfromallcommissionsonTier1\ Sales |EffortDevotedtoTier2Clients= Tier2Clients*TimeperClientMeeting*FrequencyofMeetings ~ Hours/Month ~ Howmuchtimedoestheagentdevotetomeetingsformaintenanceand\ solicitingreferralsfromTier2Clients. |EffortDevotedtoTier3Clients= Tier3Clients*FrequencyofMeetings*TimeperClientMeeting ~ Hours/Month ~ Howmuchtimedoestheagentdevotetomeetingsformaintenanceand\ solicitingreferralsfromTier3Clients. |

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EffortRemainingafterServicingExistingClients= MAX(SalesEffortAvailable-(EffortDevotedtoTier1Clients+EffortDevotedtoTier2Clients\ +EffortDevotedtoTier3Clients),0) ~ Hours/Month ~ Howmucheffortremainsafterhigherprioritysalesandmaintenance\ activitiesarecomplete? |EffortRemainingafterServicingTier2Leads= MAX(EffortRemainingafterServicingTier3Leads-EffortDevotedtoTier2Leads,\ 0) ~ Hours/Month ~ Howmucheffortremainsafterhigherprioritysalesandmaintenance\ activitiesarecomplete? |EffortRemainingafterServicingTier3Leads= MAX(EffortRemainingafterServicingExistingClients-EffortDevotedtoTier3Leads\ ,0) ~ Hours/Month ~ Howmucheffortremainsafterhigherprioritysalesandmaintenance\ activitiesarecomplete? |FractionofEffortforSales= 0.25 ~ Dmnl ~ Ofalltheeffortdevotedtowork,whatfractionisactuallyspentdoing\ salesandmaintenanceactivities?Thisincludestimespentwithexisting\ clientssolicitingreferrals. |Expenses= 1 ~ Months/Month ~ Howmanymonthsofexpensesareexpendedpermonth.Thisisabitofa\ tautology,butitstherightwaytoaccountfortheagentsincomeand\ spendingwhilepreservingtheirprivacy. |SalesEffortAvailable= FractionofEffortforSales*TotalEffortAvailable*StillEmployed ~ Hours/Month ~ Howmuchtotaltimepermonthcananagentactuallyspendinsalesor\ maintenancemeetings? |InitialBuffer= 6 ~ Months ~ Howlongcantheagentaffordtogowithzeroincome?Thiscouldbemonths\ ofexpensesinthebank,ormonthsof'rentequivalent'theyareableto\ borrowfromfamily,etc. |StartupSubsidyLength= 3 ~ Months ~ Howlongdoesasalesagentrecieveasubsidyfor,beforeitiscutoff? |

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TotalEffortAvailable= 200 ~ Hours/Month ~ Thisisthetotalnumberofhourstheagentiswillingtoworkinamonth. |MonthsofBuffer=INTEG( Income-Expenses, InitialBuffer) ~ Months ~ Thisisthestockatanygiventimeofthemoneyinthebank,orremaining\ familialgoodwill,etc. |MonthsofExpensesperTier1Sale= 12/500 ~ Months/Person ~ Incomefromcommissionforasaletoatier1lead.Measuredinunitsof\ monthsofexpenses,topreserveagentsprivacy. |MonthsofExpensesperTier2Sale= 12/50 ~ Months/Person ~ Incomefromcommissionforasaletoatier2lead.Measuredinunitsof\ monthsofexpenses,topreserveagentsprivacy. |MonthsofExpensesperTier3Sale= 12/5 ~ Months/Person ~ Incomefromcommissionforasaletoatier3lead.Measuredinunitsof\ monthsofexpenses,topreserveagentsprivacy. |Tier3Income= MonthsofExpensesperTier3Sale*Tier3Sales ~ Months/Month ~ ThisistheamountofmoneyanagentmakesfromallcommissionsonTier3\ Sales |Tier2Income= MonthsofExpensesperTier2Sale*Tier2Sales ~ Months/Month ~ ThisistheamountofmoneyanagentmakesfromallcommissionsonTier2\ Sales |StartupSubsidy= 0.75 ~ Months/Month[0,1,0.1] ~ Howmuchdoesanagentrecieveeachmonthfromhissalesmanagertohelp\ deferhisexpenses,inunitsofmonthsofexpenses? |TimeperClientMeeting= 1 ~ Hours/Meeting ~ Thisisthenumberofhoursanagentspendswithaclient,maintainingthe\ relationship/accounts,andsolicitingreferrals,inonesitting.

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|ClientLifetime= 120 ~ Months ~ Howlong,onaverage,doesaclientremainwithanagent? |Downreferralfraction= 0.2 ~ Dmnl ~ Whatisthelikelihoodthatareferralfromasecondorthirdtierclient\ willbetothetierbelowthem? |EffortDevotedtoTier1Leads= EffortRemainingafterServicingTier2Leads ~ Hours/Month ~ Thisistheamountoftimetheagentspendswithatier1leadinagiven\ year,workingtomakeasale. |Tier2ReferralsfromTier3= ReferralsfromTier3Clients*Downreferralfraction ~ Referrals/Month ~ ThisisthenumberofTier2leadsthatareaquiredthroughreferralsfrom\ tier3. |Flatreferralfraction= 1-Downreferralfraction-Upreferralfraction ~ Dmnl ~ Whatisthelikelihoodthatareferralfromaclientwillbetoaleadin\ theirsametier? |FrequencyofMeetings= 1/12 ~ Meetings/Month/Person ~ Howmanymaintenancemeetingsdoestheagenthavewitheachclientina\ month? |LeadShelfLife= 3 ~ Months ~ Afteracertainamountoftime,leadsgostale.Itgetsawkwardtokeep\ interactingwiththem,andyou'rebetteroffmovingon.Howlongisthat? |ReferralsfromTier1Clients= Tier1Clients*FrequencyofMeetings*Referralspermeeting ~ Referrals/Month ~ Thenumberofreferralscominginfrommaintenancemeetingswithtier1\ clients. |ReferralsfromTier2Clients= Tier2Clients*Referralspermeeting*FrequencyofMeetings ~ Referrals/Month ~ Thenumberofreferralscominginfrommaintenancemeetingswithtier2\

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clients. |ReferralsfromTier3Clients= Tier3Clients*FrequencyofMeetings*Referralspermeeting ~ Referrals/Month ~ Thenumberofreferralscominginfrommaintenancemeetingswithtier3\ clients. |Referralspermeeting= 2 ~ Referrals/Meeting ~ Howmanyreferralscananagentcomfortablygatherfromhisclientsina\ givenmaintenancemeeting? |Tier1ClientTurnover= Tier1Clients/ClientLifetime ~ Persons/Month ~ Thisistheflowoftier1clientsleavingthepractice. |Upreferralfraction= 0.15 ~ Dmnl ~ Thelikelihoodthatareferralfromatier1ortier2clientwillbetoa\ leadofthetierabovethem. |Tier1LeadsGoingStale= Tier1Leads/LeadShelfLife ~ Persons/Month ~ Thesearetier1leadsthatgrowoldbeforetheyaresold,andareunable\ tobefollowedupon. |Tier1Referrals= ReferralsfromTier1Clients*(1-Upreferralfraction) ~ Referrals/Month ~ ThisisthenumberofTier1leadsthatareaquiredthroughreferralsfrom\ anytierclient. |Tier1ReferralsfromTier2= ReferralsfromTier2Clients*Downreferralfraction ~ Referrals/Month ~ ThisisthenumberofTier1leadsthatareaquiredthroughreferralsfrom\ tier2. |Tier2ClientTurnover= Tier2Clients/ClientLifetime ~ Persons/Month ~ ThisistheflowofTier2clientsleavingthepractice. |Tier2Clients=INTEG( Tier2Sales-Tier2ClientTurnover, 0) ~ Persons

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~ Theseareactiveclientswhoprovidearegularlevelofreturntothe\ company. |Tier2Leads=INTEG( Tier2LeadAquisition+Tier2Sales-Tier2LeadsGoingStale, 0) ~ Persons ~ Theseareindividualswhohavebeenidentifiedastargetsandaresomewhereinthe\ salesprocess,beforeasalehasbeenmade. Theymayormaynothavebeencontactedbytheagentyet.Iftheycanbe\ convertedtoclients,theywillhavearegularlevelofreturnforthe\ company. |Tier2LeadsGoingStale= Tier2Leads/LeadShelfLife ~ Persons/Month ~ Thesearetier2leadsthatgrowoldbeforetheyaresold,andareunable\ tobefollowedupon. |Tier2Referrals= ReferralsfromTier2Clients*Flatreferralfraction ~ Referrals/Month ~ ThisisthenumberofTier2leadsthatareaquiredthroughreferralsfrom\ anytierclient. |Tier2ReferralsfromTier1= ReferralsfromTier1Clients*Upreferralfraction ~ Referrals/Month ~ ThisisthenumberofTier2leadsthatareaquiredthroughreferralsfrom\ tier1. |Tier3LeadsGoingStale= Tier3Leads/LeadShelfLife ~ Persons/Month ~ Thesearetier3leadsthatgrowoldbeforetheyaresold,andareunable\ tobefollowedupon. |Tier3ClientTurnover= Tier3Clients/ClientLifetime ~ Persons/Month ~ Thisistheflowofregularclientsleavingthepractice. |Tier3Clients=INTEG( Tier3Sales-Tier3ClientTurnover, 0) ~ Persons ~ Theseareactiveclientswhoprovidearegularlevelofreturntothe\ company. |Tier3Referrals= ReferralsfromTier3Clients*(1-Downreferralfraction) ~ Referrals/Month ~ ThisisthenumberofTier3leadsthatareaquiredthroughreferralsfrom\

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anytierclient. |Tier3Leads=INTEG( Tier3LeadAquisition+Tier3Sales-Tier3LeadsGoingStale, 0) ~ Persons ~ Theseareindividualswhohavebeenidentifiedastargetsandaresomewhereinthe\ salesprocess,beforeasalehasbeenmade. Theymayormaynothavebeencontactedbytheagentyet.Iftheycanbe\ convertedtoclients,theywillhavearegularlevelofreturnforthe\ company. |Tier3ReferralsfromTier2= ReferralsfromTier2Clients*Upreferralfraction ~ Referrals/Month ~ ThisisthenumberofTier3leadsthatareaquiredthroughreferralsfrom\ tier2. |EffortRequiredtoMakeaSale= 4 ~ Hours/Person[0,50] ~ Thisistheamountoftimetheagentmustspend(onaverage)withalead\ (highorlowvalue,fornow)tomakeasale. |MinimumTimetoMakeaSale= 1 ~ Months ~ Whatistheabsoluteminimumcalendartimeitwouldtaketomakeasaleto\ aperson,evenifyouhadallthehoursinthedaytodevotetothem? |Tier1Leads=INTEG( Tier1LeadAquisition+Tier1Sales-Tier1LeadsGoingStale, 100) ~ Persons ~ Theseareindividualswhohavebeenidentifiedastargetsandaresomewhereinthe\ salesprocess,beforeasalehasbeenmade. Theymayormaynothavebeencontactedbytheagentyet.Iftheycanbeconverted\ toclients,theywillhavearegularlevelofreturnforthecompany. Weinitializeto100becauseagentsbegintheirsalescareerswithalist\ of200friendsandfamily,about50%ofwhomtheymightcontact. |Tier1Clients=INTEG( Tier1Sales-Tier1ClientTurnover, 0) ~ Persons ~ Theseareactiveclientswhoprovidearegularlevelofreturntothe\ company. |******************************************************** .Control********************************************************~ SimulationControlParameters |

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FINALTIME=120 ~ Month ~ Thefinaltimeforthesimulation. |INITIALTIME=0 ~ Month ~ Theinitialtimeforthesimulation. |SAVEPER=TIMESTEP ~ Month[0,?] ~ Thefrequencywithwhichoutputisstored. |TIMESTEP=0.0625 ~ Month[0,?] ~ Thetimestepforthesimulation. |

AppendixD:EstimatesofModelParametersToidentifyparametersofourmodel,weconductedsemi-structuredinterviewswithavarietyofindividualsthroughoutthesalesorganization,askingthemtoestimatealikelyrangeofvaluesforindividualswhowerejustenteringthesalesforce.Wealsoaskedopenendedquestionsdesignedtoelicittheseindividuals’understandingofthestartupprocess,inordertobuildconfidencethatthemodelstructurewehadconstructedrepresentedtheworldasitwasknowntotheseindividuals.Ourinterviewssurveyedthefollowingindividuals:

• Ayoungsalesagentneartheendofthestartupprocess• Anestablishedsalesagentresponsiblefortrainingnewyoungprofessional

agents• Averyhighperformingsalesagent• GeneralManageroftheSalesAgency• Asalesagentinthemiddleoftheircareer

Therawresponsesofourinterviewsarelistedinbelowintheorderinwhichtheyarelistedabove.Notallindividualswereabletoestimatevaluesforallquestions,andinthesecaseswehavelefttheentryblank.Tosimulatetheoverallpopulation,wehand-fitdistributionsrepresentativeoftheresponsestoourinterviewquestions.Asourobjectisnottomakequantitativepredictionsaboutoutcomes,merelytoshowthatthelessonsdrawnfromourtoypopulationholdforapopulationmorerepresentativeofthatobserved,thissimplificationisappropriate.Parameter Units RawResponses Baseline

ValueEstimatingDistribution

Referralspermeeting

Referrals Min:[1,0,-,-,1]Mean:[2,2.5,-,-,2]Max:[10,30,-,-,-]

2 lognormal(mean=log(2),sigma=.75)

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Minimumtimetomakeasale

Months Min:[0.3,0.5,-,-,0.25]Mean:[1.5,1,-,-,1]Max:[2,1,-,-,3]

1 lognormal(mean=log(1),sigma=.3

FrequencyofMeetings*

Meetings/Month

Min:[1,-,-,1,1]Mean:[1,-,-,1,1]Max:[2,-,-,1,1]

1/12 lognormal(mean=log(1.0/12),sigma=.25)

SuccessRate - Min:[0.1,-,-,-,-]Mean:[0.3,0.1,-,-,-]

.2 beta(a=12,b=50)

EffortRequiredtoMakeaSale

Hours Min:[3,2,-,3,3]Mean:[-,3,-,-,-]Max:[5,5,-,5,6]

4 lognormal(mean=log(4),sigma=.15)

Up-ReferralFraction

- Mean:[0.1,0.2,0.1]

.15 beta(a=8,b=40)

Down-ReferralFraction

- Min:[-,0.1,0.1,-,-]Mean:[-,0.2,0.3,-,-]

0.2 beta(a=10,b=40)

LeadShelfLife

Months Min:[2,-,-,-,-]Mean:[3,-,-,-,3]

3 lognormal(mean=log(3),sigma=.1)

ClientLifetime

Months Min:[-,-,-,-,36]Mean:[-,120,-,-,120]

120 lognormal(mean=log(10),sigma=.25)

TotalEffortAvailable**

Hours/Month

Min:[-,-,-,-,160]Mean:[-,-,-,-,200]Max:[-,-,-,-,250]

200 lognormal(mean=log(200),sigma=.2)

FractionofEffortSpentwithclient/lead

- Mean:[0.2,0.25,-,-,0.1] 0.2 beta(a=8,b=20)

TimeperClientMeeting

Hours Min:[0.75,-,-,-,1]Mean:[1,-,-,-,1.25]Max:[-,-,-,-,1.5]

1 lognormal(mean=log(1),sigma=.25)

MonthsofExpensesperTier1Client***

Months/Person

AssumesameratioholdswithTier2/Tier3forestimate

12/500 .1*MonthsofExpensesperTier2Client

MonthsofExpensesperTier2Client

Months/Person

Mean[0.24,-,-,-,-] 12/50 lognormal(mean=log(.24),sigma=.25)

MonthsofExpensesperTier3Client

Months/Person

Min[-,-,1.2,-,-]Mean[-,-,2.4,-,-]

12/5 10*MonthsofExpensesperTier2Client

InitialMonthsofBuffer

Months Min[-,3,-,-,-]Mean[-,-,-,6,-]Max[-,-,-,-,12]

6 lognormal(mean=log(6),sigma=.25)

QualificationRate

- Mean[0.9,1,-,-,-] 1 beta(a=95,b=5)

*PolicysetbySalesManager

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**Inferred/Computedfromotherresponses(e.g.residency=1/turnoverrate)***Respondentsunabletoestimate,toosmall.Ourmodelisinsensitivetothisvalue,astheprimaryvalueofTier1clients(accordingtoourinterviews)istoprovidereferralstoTier2leads,notasasourceofdirectincome.Inthiscase,asimpleestimatetakenfromtherelativemagnitudeofTier2andTier3leadsisappropriate.