Estimating
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项目管理专业术语列表Accept 验收Acceptance 验收Acceptance criteria 验收标准Acquire project team 组建项目团队Activity 活动Activity attributes 活动属性Activity code 活动编码Activity Definition 活动定义Activity Description(AD)活动描述/说明Activity Duration estimating 活动历时估算Activity identifier 活动标识符Activity list 活动列表Activity-On-Arrow(AOA)箭线网络图(双代号网络图)Activity-on-Node(AON)节点式网络图(单代号网络图)Activity resource estimating 活动资源估算Activity sequencing 活动排序Actual 实际Actual cost(AC)实际成本Actual Cost of Work Performed(ACWP)已执行工作实际成本Actual duration 实际历时Actual Finish Date(AF)实际完成日期Actual Start Date(AS)实际开始日期Administrative Closure 行政收尾Analogous estimating 类比估算Application area 应用领域Apportioned effort(AE)分配的工作量Approval 批准Approve 批准Approved change request 已批准的变更请求Arrow 箭线Arrow Diagramming Method(ADM)箭线图示法As-of date 截止日期Assumptions假设Assumptions analysis 假设分析Authority 职权Backward Pass 逆推计算法Bar Chart 横道图(甘特图,条形图)Baseline 基准计划(基线)Baseline finish date 基线完成日期Baseline start date 基线开始日期Bill of materials(BOM)材料单bottom-up estimating 自底向上估算brainstorming 头脑风暴budget 预算budget at completion(BAC)完工预算budget estimate 概算budgeted cost of work performed(BCMP)已执行工作的预算成本budgeted cost of work scheduled(BCWS)计划执行预算成本buffer 缓冲buyer 买方calendar unit 日历单位change 变更change control board(CCB)变更控制委员会change control system 变更控制系统change request 变更请求chart of accounts 账目图表charter 章程checklist 检查单claim 索偿close project 结束项目closing processes收尾过程code of accounts 账目编码co-location 同地办公common cause 共同原因communication 沟通communication management plan 沟通管理计划communications planning 沟通规划compensation 补偿component 组件concurrent engineering 并行工程configuration management system 配置管理系统constraint 约束条件contingencies 意外contingency 意外,应急contingency allowance 应急余量contingency planning应急计划contingency reserve 应急储备contract 合同contract administration 合同管理contract closure 合同收尾contract management plan合同管理计划contract statement of work(SOW)合同工作说明书contract work breakdown structure(CWBS)合同工作分解结构control 控制controlling 控制control account 控制账目control account plan 控制账目计划control chart 控制图control limits 控制范围corrective action 纠正措施cost 成本cost baseline 成本基线cost budgeting 成本预算cost control 成本控制cost estimating 成本估算cost management plan成本管理计划cost of quality 质量成本cost performance index(CPI)成本绩效系数cost-plus-fee(CPF)成本加附加费cost-plus-fixed-fee(CPFF)contract 成本加固定附加费合同cost-plus-incentive-fee(CPIF)contract成本加奖励合同cost reimbursable contract成本偿还合同cost V ariance(CV)费用偏差crashing 赶工create WBS(work breakdown structure)创建工作分解结构critical 关键critical activity 关键活动critical chain method 关键链法critical path 关键路径critical path method(CPM)关键路径法current 当前current finish date 当前结束日期current start date 当前开始日期data date(DD)数据日期date 日期decision tree analysis 决策树分析decompose 分解decomposition 分解defect 缺陷defect repair 缺陷修复deliverable 可交付物delphi technique 德尔菲技术dependency 依赖关系design review 设计评审develop 开发,研制develop project charter 制定项目章程develop project management plan 制定项目管理计划develop project scope statement(preliminary)制定项目范围说明书(初步)develop project team 项目团队建设direct and manage project execution 指导和管理项目执行discrete effort 离散工作量document 文档documented procedure 明文的规范dummy activity 虚活动duration(DU or DUR)历时duration compression 历时压缩early 早early finish date(EF)最早完工日期early start date(ES)最早开始日期earned value(EV)挣值法earned value analysis 挣值分析earned value management 挣值管理earned value technique(EVT)挣值技术effort 工作量enterprise environmental factors 事业环境因素estimate 估算estimate at completion(EAC)在完成时的费用估算estimate to complete(ETC)到完成时的估算event 事件event-on-node 单节点事件图exception report 异常报告execute 执行execution 执行executing 执行executing processes 执行过程expected monetary value(EMV)analysis 期望货币值分析expert judgment 专家判断failure mode and effect analysis 失败模式和影响分析fast tracking 快速跟进finish 完成finish date 完成日期finish-to-finish(FF)完成到完成关系finish-to-start(FS)完成到开始关系fixed-price 固定价格firm-fixed-price(FFP)contract 固定总价合同fixed-price-incentive-fee(PFIF)contract固定价格加奖励合同fixed-price or lump-sum contract 固定价格或总额合同float 浮动时间flowcharting 流程图forecasts 预测,预想forward pass 正推法free float(FF)自由时差functional 职能functional manager 职能经理functional organization 职能型组织funds 资金gantt chart 甘特图goods 物品、货物、商品grade 等级graphical evaluation and review technique(GERT)图解评审技术ground rules 基本规则、条例hammock 集合工作hammock activity 集合活动human resource planning 编制人力资源计划imposed date 强制日期influence 影响influence diagram 影响图influencer 有影响力的人information distribution 信息发布initiate 发起initiation 立项initiator 发起人initiating processes 启动过程inspection 审查integral 整体integrated 整体的integrated change control 整体变更控制integrated cost/schedule reporting 成本/进度综合报告invitation for bid(IFB)邀标书issue 问题、争端key event schedule 关键事件进度计划lag 滞后late 迟late finish date(LF)最迟结束时间late startdate(LS)最迟开始日期latest revised estimate 最新修订的估算lead 超前,提前量lessons learned 经验教训lenssons learned knowledge base 经验知识库level of effort(LOE)投入水平leveling 平衡life cycle 生命周期life-cycle costing 全生命期成本估算line manager 产品经理logic 逻辑logic diagram 逻辑图logical relationship 逻辑关系loop 回路manage 管理manage project team 管理项目团队manage stakeholders 管理项目干系人management reserve 管理储备量master schedule 主进度表materiel 物资matrix organization 矩阵型组织methodology 方法论milestone 里程碑milestone schedule 里程碑进度modern project management(MPM)现代项目管理monitor 监督monitoring 监督monitor and control project work 监督和控制项目工作monitoring and controlling processes 监督和控制过程monte carlo analysis 蒙托卡罗分析near-critical activity 近关键路径network 网络network analysis 网络分析network logic 网络逻辑network loop 网络循环network path 网络路径networking 人际网node 节点objective 目标,目的operations 日常运营opportunity 机会organization 组织organization chart 组织图organizational breakdown structure(OBS)组织分解结构organizational planning 组织规划organizational process assets 组织过程资产original duration(OD)初始历时overall change control 整体变更控制overlap 重叠parametric estimating 参数式估算pareto chart 帕累托图path 路径path float 线路时差path convergence 路径会聚path divergence 路径发散percent complete(PC)完成百分比perform 执行perform quality assurance(QA)执行质量保证perform quality control(QC)执行质量控制performance measurement baseline绩效测量基线performance reporting 绩效报告performance reports 绩效报告performing organization 执行机构PERT chart 计划评审技术图phase 阶段plan 计划plan contracting 签约计划plan purchases and acquisitions 编制采购计划planned finish date(PF)计划结束时间planned startdate(PS)计划开始时间planned value 计划值planning package 计划包planning processes 计划过程portfolio 组合portfolio management 项目组合管理position description 岗位描述practice 惯例precedence 优先precedence diagramming method(PDM)前导图法precedence relationship 前导关系predecessor activity 前置活动preventive activity 预防措施probability and impact matrix 概率和影响矩阵procedure 规程process 过程process group 过程组procurement 采购procurement documents 采购文档procurement management plan采购管理计划procurement planning 采购规划product 产品product life cycle 产品生命周期product scope 产品范围product scope description 产品范围描述program 大型项目program evaluation and review technique(PERT)计划评审技术program management 大型项目管理program management office 大型项目管理办公室progressive elaboration 渐进明细project 项目project calendar 项目日历project charter 项目章程project communication management 项目沟通管理project cost management 项目成本管理project human resource management 项目人力资源管理project initiation 项目启动project integration management 项目整体管理project life cycle 项目生命周期project management(PM)项目管理project management body of knowledge(PMBOK)项目管理知识体系project management information system 项目管理信息系统project management knowledge area 项目管理知识域project management office(PMO)项目管理办公室project management plan 项目管理计划project management process 项目管理过程project management process group 项目管理过程组project management professional(PMP)项目管理专业人员project management software 项目管理软件project management system 项目管理系统project management team 项目管理团队project manager (PM)项目经理project network diagram 项目网络图project organization chart 项目组织章程project phase 项目阶段project plan 项目计划project plandevelopment 项目计划开发project planexecution 项目计划实施project planning 项目规划project process groups 项目过程组project procurement management 项目采购管理project quality management 项目质量管理project risk management 项目风险管理project schedule 项目进度project schedule network diagram 项目进度网络图project scope 项目范围project scope management 项目范围管理project scope management plan 项目范围管理计划project scope statement 项目范围说明书project sponsor 项目发起人project stakeholder 项目干系人project summary work breakdown structure(PSWBS)项目概要工作分解结构project team 项目团队project team directory 项目团队名录project team members 项目团队成员project time management 项目时间管理project work 项目工作projected organization 项目型组织quality 质量qualitative risk analysis 定性风险分析quality management plan 项目质量计划quality planning 制定项目质量计划quality assurance(QA)质量保证quality control(QC)质量控制quantitative risk analysis 定量风险分析regulation 规章reliability 可靠性remaining duration(RDU)剩余历时request 请求request for information 信息请求request for proposal(RFP)方案征集书request for quotation(RFQ)报价请求request seller responses 请求卖方回应requested change 已申请的变更requirement 需求reserve 预留reserve 预留分析resource 资源resource breakdown structure(RBS)资源分解结构resource calendar 资源日历resource-constrained schedule 资源受限的进度resource histogram 资源图resource leveling 资源平衡resource-limited schedule 资源受限的进度resource planning 资源规划responsibility 责任responsibility assignment matrix(RAM)责任分配矩阵responsibility chart 责任图responsibility matrix 责任分配矩阵result 成果retain age 保证金rework 返工risk 风险risk acceptance 风险接受risk avoidance 风险规避risk breakdown structure(RBS)风险分解结构risk category 风险类别risk database 风险数据库risk event 突发事件risk identification 风险识别risk management plan 风险管理计划risk management planning编制风险管理计划risk mitigation 风险缓解risk monitoring and control风险监督和控制risk register 风险登记表risk response planning 制定风险应对计划risk responsecontrol 风险应对控制risk responsedevelopment 风险应对开发risk transference 风险转移role 角色rolling wave planning 滚动式计划root cause analysis 根本原因分析S-curve S曲线schedule 进度计划schedule activity 进度活动scheduleanalysis 进度分析schedulecompression 进度压缩schedulecontrol 进度控制schedule development 进度制定schedule management plan进度管理计划schedule milestone 进度里程碑schedule model 进度模型schedule network analysis进度网络分析scheduleperformance index(SPI)进度绩效指数schedulevariance(SV)进度偏差scheduled finish date(SF)计划结束日期scheduled start date(SS)计划开始日期scope 范围scope baseline 范围基线scope change 范围变更scope change control 范围变更控制scope control 范围控制scope creep 范围蔓延scope definition 范围定义scope planning 编制范围管理计划scope verification 范围验证secondary risk 二次风险select sellers 卖方选择sellers 卖方sensitivity analysis 敏感度分析service 服务should-cost estimate 理想成本估算simulation 模拟skill 技能slack 松弛量solicitation 询价,询价规范special cause 特定原因specification 规格说明书specification limits 规格限定sponsor 发起人、出资方staff 人员配备staff acquisition 工作人员招募staffing management plan 人员配备管理计划stakeholder 项目干系人standard 标准start 开始startdate 开始日期start-to-finish(SF)开始到完成关系start-to-start(SS)开始到开始关系statement of work(SOW)工作说明书strengths,weaknesses,opportunities,and threats(SWOT)analysisSWOT分析sub 子subnet 子网subnet work 子网络sub phase 子阶段sub project 子项目successor 后续successor activity 后续活动summary activity 汇总活动system 系统target 目标,预定target completion date(TC)预定完成时间target finish date(TF)预定结束时间target schedule 预定进度target startdate(TS)预定开始时间task 任务team 团队team development 团队建设team members 团队成员technical performance measurement技术性能测量technique 技术template 模板threat 威胁three-point estimate 三点估算threshold 阀值time and material(T&M)contract工时和材料合同time-scaled schedule network diagram 时标进度网络图time-scaled network diagram 时标网络图tool 工具total float(TF)总时差total quality management(TQM)全面质量管理trend analysis 趋势分析triggers 触发条件triple constraint 三约束user 用户validation 确认value engineering价值工程variance 差异variance analysis 差异分析verification 验证virtual team 虚拟团队voice of the customer顾客意见war room 指挥部work 工作work authorization 工作授权work authorization system 工作授权体系work breakdown structure(WBS)工作分解结构work breakdown structure component 工作分解结构部件work breakdown structure dictionary 工作分解结构字典work item 工作项work package 工作包work performance information 工作绩效信息workaround 风险应急。
项目管理专业词汇1、活动,Activity2、活动定义,Activity Definition3、活动描述/说明,AD=Activity Description4、活动历时估算,Activity Duration Estimating 10、行政收尾,Administrative Closure15、基准计划,Baseline16、估算成本,approximating costs17、概算,Budget Estimate21、变更控制委员会,CCB=Chang Control Board29、合同管理,Contract Administration30、合同收尾,Contract Close-out33、纠正措施,Corrective Action34、费用预算,Cost Budgeting37、质量成本,Cost of Quality38、费用绩效指数,CPI=Cost Performance Index39、费用偏差,CV=Cost Variance40、赶工,Crashing41、关键工序,Critical Activity42、关键路线,Critical Path43、关键路线法,CPM=Critical Path Method 47、项目交付物,Project Deliverables54、挣值法,EV=Earned Value55、挣值分析,Earned Value Analysis68、职能经理,Functional Manager69、职能组织,Functional Organization70、甘特图,Gantt Chart75、立项,Initiation77、邀标,IFB= Invitation for Bid78、关键事件进度计划,Key Event Schedule83、全生命期成本估算,Life-cycle Costing84、产品经理,Line Manager 90、矩阵型组织,Matrix Organization91、里程碑,Milestone92、里程碑进度计划,Milestone Schedule104、整体变更控制,Overall Change Control105、重叠,Overlap106、参数估算法,Parametric Estimating108、线路时差,Path Float117、紧前工作,Predecessor Activity120、计划评审技术,PERT=Program Evaluation and Review Technique122、项目许可证,Project Charter123、项目沟通管理,Project Communication Management124、项目费用管理,Project Cost Management125、项目人力资源管理,Project Human Resource Management126、项目综合管理,Project Integration Management127、项目生命周期,Project Life Cycle128、项目管理,PM=Project Management131、项目管理团队,Project Management Team132、项目经理,PM=Project Manager133、项目网络图,Project Network Diagram134、项目阶段,Project Phase135、项目计划,Project Plan139、项目采购管理,Project Procurement Management140、项目质量管理,Project Quality Management141、项目风险管理,Project Risk Management142、项目进度计划,Project Schedule143、项目范围管理,Project Scope Management144、项目团队成员,Project Team Member145、项目时间管理,Project Time Management146、项目型组织,Project Organization147、质量保证,QA=Quality Assurance148、质量控制,QC=Quality Control149、质量规划,Quality Planning150、剩余持续时间,RDU=Remaining Duration151、请求建议书,RFP=Request for Proposal152、请求报价单,RFQ=Request for Quotation157、责任分配矩阵,RAM=ResponsibilityAssignment Matrix158、责任图,Responsibility Chart162、风险识别,Risk Identification163、风险应对控制,Risk Response Control166、进度计划,Schedule170、进度执行指数,SPI=Schedule PerformanceIndex175、范围基准计划,Scope Baseline176、范围变更,Scope Change177、范围变更控制,Scope Change Control178、范围定义,Scope Definition179、范围规划,Scope Planning180、范围验证,Scope Verification182、询价,Solicitation185、项目干系人,Project Stakeholders192、后续工作,Successor Activity196、团队建设,Team Development197、团队成员,Team members198、时标网络图,Time-Scaled Network Diagram203、权变措施,Workaround204、工作分解结构,WBS=Work BreakdownStructure205、项目章程,project charter206、可测量与可验证的ameasurable and verifiable207、评审review208、项目启动project concept210、范围验证scope verification。
项目管理专业术语【205个】1、活动,Activity2、活动定义,Activity Definition3、活动说明,AD=Activity Description4、活动延续时间估量,Activity Duration Estimating5、箭线网络图〔双代号网络图〕,AOA=Activity-On-Arrow6、节点式网络图〔单代号网络图〕,AON=Activity-on-Node7、已执行任务实践本钱,ACWP=Actual Cost of Work Performed8、实践完成日期,AF=Actual Finish Date9、实践末尾日期,AS=Actual Start Date10、行政收尾,Administrative Closure11、箭线,Arrow12、箭线图示法,ADM=Arrow Diagramming Method13、逆推计算法,Backward Pass14、横道图,Bar Chart15、基准方案,Baseline16、完工预算,BAC=Budget At Completion17、概算,Budget Estimate18、已执行预算本钱,BCWP=Budgeted Cost of Work Performed19、方案执行预算本钱,BCWS= Budgeted Cost of Scheduled20、日历单位,Calendar Unit21、变卦控制委员会,CCB=Chang Control Board22、沟通规划,Communications Planning23、并行工程, Concurrent Engineering24、不测费用,Contingencies25、不测预备金,contingency Allowance26、不测规划,Contingency Planning27、不测储藏,Contingency Reserve28、合同,Contract29、合同管理,Contract Administration30、合同收尾,Contract Close-out31、控制,Control32、控制图,Control Chart33、纠正措施,Corrective Action34、费用预算,Cost Budgeting35、费用控制,Cost Control36、费用做算,Cost Estimating37、质量本钱,Cost of Quality38、费用绩效指数,CPI=Cost Performance Index39、费用偏向,CV=Cost Variance40、赶工,Crashing41、关键工序,Critical Activity42、关键路途,Critical Path43、关键路途法,CPM=Critical Path Method44、以后完成日期,Current Finish Date45、以后末尾日期,Current Start Date46、数据日期,DD=Data Date47、交付物,Deliverable48、依赖关系,Dependency49、虚活动,Dummy Activity50、延续时间,DU=Duration51、延续时间紧缩,Duration Compression52、最早完工日期,EF=Early Finish Date53、最早末尾日期,ES=Early Start Date54、挣值法,EV=Earned value55、挣值剖析,Earned value Analysis56、人工量,Effort57、预算,概算,Estimate58、在完成时的费用预算,EAC=Estimate At Completion59、到完成时的预算,ETC=Estimate To Complete60、单节点事情图,Event-on-Node61、例外报告,Exception Report62、完成日期,Finish Date63、完成到完成关系,FF=Finish-to-Finish64、完成到末尾关系,FS=Finish-to-Start65、时差,机动时间,浮动时间,Float66、顺推计算法,Forward Pass67、自在时差,FF=Free Float68、职能经理,Functional Manager69、职能组织,Functional Organization70、甘特图,Gantt Chart71、图解评审技术,GERT=Graphical Evaluation and Review Technique72、集合任务,Hammock73、悬摆,Hanger74、信息分发,Information Distribution75、立项,Initiation76、本钱/进度综合报告,Integrated Cost/Schedule Reporting77、邀标,IFB= Invitation for Bid78、关键事情进度方案,Key Event Schedule79、滞后量,Lag80、最晚完成日期,LF=Late Finish Date81、最晚末尾日期,LS=Late Start Date82、提早量,Lead83、全生命期本钱预算,Life-cycle Costing84、产品经理,Line Manager85、逻辑图,Logic Diagram86、逻辑关系,Logical Relationship87、回路,Loop88、管理储藏量,Management Reserve89、主进度方案,Master Schedule90、矩阵型组织,Matrix Organization91、里程碑,Milestone92、里程碑进度方案,Milestone Schedule93、现代项目管理,MPM=Modern Project Management94、监控,Monitoring95、蒙托卡罗剖析,Monte Carlo Analysis96、次关键任务,Near-Critical Activity97、网络,Network98、网络剖析,Network Analysis99、网络逻辑,Network Logic100、网络路途,Network Path101、节点,Node102、组织分解结构,OBS=Organizational Breakdown Structure 103、组织规划,Organizational Planning104、全体变卦控制,Overall Change Control105、堆叠,Overlap106、参数预算法,Parametric Estimating107、线路,Path108、线路时差,Path Float109、完成百分比,PC=Percent Complete110、执行报告,Performance Reporting111、执行机构,Performing organization112、方案评审技术图,PERT Chart113、方案的完成日期,PF=Planned Finish Date114、方案的末尾日期,PS=Planned Start Date115、优先图示法,PDM=Precedence Diagramming Method116、优先关系,Precedence Relationship117、紧前任务,Predecessor Activity118、推销规划,Procurement Planning119、工程,Program120、方案评审技术,PERT=Program Evaluation and Review Technique 121、项目,Project122、项目容许证,Project Charter123、项目沟通管理,Project Communication Management124、项目费用管理,Project Cost Management125、项目人力资源管理,Project Human Resource Management 126、项目综合管理,Project Integration Management127、项目生命周期,Project Life Cycle128、项目管理,PM=Project Management129、项目管理知识体系,PMBOK=Project Management Body of Knowledge130、项目管理软件,Project Management Software 131、项目管理团队,Project Management Team132、项目经理,PM=Project Manager133、项目网络图,Project Network Diagram134、项目阶段,Project Phase135、项目方案,Project Plan136、项目方案开发,Project Plan Development137、项目方案实施,Project Plan Execution138、项目规划,Project Planning139、项目推销管理,Project Procurement Management 140、项目质量管理,Project Quality Management 141、项目风险管理,Project Risk Management142、项目进度方案,Project Schedule143、项目范围管理,Project Scope Management144、项目团队成员,Project Team Member145、项目时间管理,Project Time Management146、项目型组织,Project Organization147、质量保证,QA=Quality Assurance148、质量控制,QC=Quality Control149、质量规划,Quality Planning150、剩余继续时间,RDU=Remaining Duration151、央求建议书,RFP=Request for Proposal152、央求报价单,RFQ=Request for Quotation153、储藏量,Reserve154、资源平衡,Resource Leveling155、资源约束进度方案,Resource-Limited Schedule156、资源规划,Resource Planning157、责任分配矩阵,RAM=Responsibility Assignment Matrix 158、责任图,Responsibility Chart159、责任矩阵,Responsibility Matrix160、保管金,Retain age161、突发事情,Risk Event162、风险识别,Risk Identification163、风险应对控制,Risk Response Control164、风险应对开发,Risk Response Development165、S曲线,S-Curve166、进度方案,Schedule167、进度方案剖析,Schedule Analysis168、进度方案紧缩,Schedule Compression169、进度方案控制,Schedule Control170、进度执行指数,SPI=Schedule Performance Index171、进度偏向,SV=Schedule Variance172、方案完成日期,SF=Scheduled Finish Date173、方案末尾日期,SS=Scheduled Start Date174、范围,Scope175、范围基准方案,Scope Baseline176、范围变卦,Scope Change177、范围变卦控制,Scope Change Control 178、范围定义,Scope Definition179、范围规划,Scope Planning180、范围验证,Scope Verification181、时差,Slack182、询价,Solicitation183、询价规划,Solicitation184、任务人员招募,Staff Acquisition185、项目相关者,Stakeholder186、末尾日期,Start Date187、末尾到完成关系,Start-to-Finish188、末尾到末尾关系,Start-to-Start189、任务说明,SOW=Statement of Work190、子网,Subnet191、子网络,Subnet Work192、后续任务,Successor Activity193、目的完成日期,TC=Target Completion Date 194、目的时度方案,Target Schedule195、义务,Task196、团队树立,Team Development197、团队成员,Team members198、时标网络图,Time-Scaled Network Diagram 199、目的完成日期,TF=Target Finish Date200、目的末尾日期,Ts=Target Start Date201、总时差,TF=Total Float202、片面质量管理,TQM=Total Quality Management 203、权变措施,Workaround204、任务分解结构,WBS=Work Breakdown Structure 205、任务包,Work Package项目管理专业术语中的公共首字母缩略词ACWP Actual Cost of Work Performed 已执行任务实践本钱AD Activity Description任务描画ADM Arrow Diagramming Method 箭线图示解法AF Actual Finish Date 实践完成日期AOA Activity-On-Arrow 双代号网络图AON Activity-On-Node 单代号网络图AS Actual Start Date 实践末尾日期BAC Budget At Completion 在完成时的预算BCWP Budgeted Cost of work Performed 已执行任务预算本钱BCWS Budgeted Cost of work Scheduled 方案完成任务预算本钱CCB Change Control Board 变卦控制委员会CPFF Cost Plus Fixed Fee 本钱加固定费用〔合同〕CPIF Cost Plus Incentive Fee 本钱加奖励费用〔合同〕CPI Cost Performance Index 本钱执行指数CPM Critical Path Method 关键线路法CV Cost Variance 本钱偏向DD Data Date 数据日期DU Duration 继续时间,工期EAC Estimate At Completion 在完成时的预算EF Early Finish date 最早完成日期ES Early Start date 最早末尾日期ETC Estimate (or Estimated) To Complete 到完成时的预算EV Earned Value 挣值法FF Free Float or Finish-to-Finish 自在时差,或完成到完成关系FFP Firm Fixed Price 完全固定总价合同FPIF Fixed Price Incentive Fee 固定价加奖励费用FS Finish-to-Start 完成到末尾关系GERT Graphical Evaluation and Review Technique 图示评审技术IFB Invitation For Bid 邀标LF Late Finish Date 最晚完成日期LOE Level of Effort 投入水平LS Late Start date 最晚末尾日期MPM Modern Project Management 现代项目管理OBS Organization(al) Breakdown Structure 组织分解结构PC Percent Complete 完成百分比PDM Precedence Diagramming Method 优先图示法PERT Program Evaluation and Review Technique 方案评审技术PF Planned Finish date 方案完成日期PM Project Management or Project Manager 项目管理或项目经理PMBOK Project Management Body of Knowledge 项目管理知识体系PMP Project Management Professional 项目管理专业人员PS Planned Start date 方案末尾日期QA Quality Assurance 质量保证QC Quality Control 质量控制RAM Responsibility Assignment Matrix 责任分配矩阵RDU Remaining DUration剩余工期RFP Request For Proposal 央求建议书RFQ Request For Quotation 央求报价单SF Scheduled Finish date or Start-to-Finish方案完成日期或末尾到完成关系SS Scheduled Start date or Start-to-Start方案末尾日期或末尾到末尾关系SOW Statement of Work 任务说明SPI Schedule Performance Index 进度执行指数SV S chedule Variance 进度偏向TC Target Completion date 目的完成日期TF Total Float or Target Finish date 总时差,或目的完成日期TS Target Start date 目的末尾日期TQM Total Quality Management 片面质量管理WBS Work Breakdown Structure 任务分解结构。
Corporate Finance, 3e (Berk/DeMarzo)Chapter 12 Estimating the Cost of CapitalThe Equity Cost of CapitalUse the following information to answer the question(s) below.Assume that the risk-free rate of interest is 3% and you estimate the market's expected return to be 9%.1) Which firm has the most total riskA) EenieB) MeenieC) MineyD) MoeAnswer: CExplanation: C) Total risk is measured using volatility and Miney has the highest volatility, hence the most total risk.Diff: 1Section: The Equity Cost of CapitalSkill: Analytical2) Which firm has the least market riskA) EenieB) MeenieC) MineyD) MoeAnswer: AExplanation: A) Market risk is measured using beta and Eenie has the lowest beta, hence the lowest market risk.Diff: 1Section: The Equity Cost of CapitalSkill: Analytical3) Which firm has the highest cost of equity capitalA) EenieB) MeenieC) MineyD) MoeAnswer: DExplanation: D) Cost of capital is measured using the CAPM and is a linear function of beta. Therefore the firm with the highest beta (Moe) has the highest cost of equity capital.Diff: 1Section: The Equity Cost of CapitalSkill: Analytical4) The equity cost of capital for "Miney" is closest to:A) %B) %C) %D) %Answer: CExplanation: C) r Miney = 3% + (9% - 3%) = %Diff: 1Section: The Equity Cost of CapitalSkill: Analytical5) The equity cost of capital for "Meenie" is closest to:A) %B) %C) %D) %Answer: BExplanation: B) r Meenie = 3% + (9% - 3%) = %Diff: 1Section: The Equity Cost of CapitalSkill: Analytical6) The risk premium for "Meenie" is closest to:A) %B) %C) %D) %Answer: AExplanation: A) risk premium Meenie = (9% - 3%) = % Diff: 2Section: The Equity Cost of CapitalSkill: AnalyticalThe Market PortfolioUse the following information to answer the question(s) below.Suppose all possible investment opportunities in the world are limited to the four stocks list in the table below:1) The weight on Taggart Transcontinental stock in the market portfolio is closest to:A) 15%B) 20%C) 25%D) 30%Answer: BExplanation: B)Section: The Market Portfolio Skill: Analytical2) The weight on Wyatt Oil stock in the market portfolio is closest to:A) 15%B) 20%C) 25%D) 30%Answer: AExplanation: A)Section: The Market PortfolioSkill: Analytical3) Suppose that you are holding a market portfolio and you have invested $9,000 in Rearden Metal. The amount that you have invested in Nielson Motors is closest to:A) $6,000B) $7,715C) $9,000D) $10,500Answer: DExplanation: D)Calculations B × C D/1950Stock Price perShareNumber of SharesOutstanding(Millions)MarketCap WeightTaggart Transcontinental$25$Rearden Metal$45$Wyatt Oil$10$Nielson Motors$26$Total$Amount Nielson = × Amount Rearden = × $9,000 = $10,500 Diff: 2Section: The Market PortfolioSkill: Analytical4) Suppose that you are holding a market portfolio and you have invested $9,000 in Rearden Metal. The amount that you have invested in Taggart Transcontinental is closest to:A) $4,500B) $6,000C) $7,715D) $9,000Answer: BExplanation: B)Calculations B × C D/1950Stock Price perShareNumber of SharesOutstanding(Millions)MarketCap WeightTaggart Transcontinental$25$Rearden Metal$45$Wyatt Oil$10$Nielson Motors$26$Total$Amount Nielson = × Amount Rearden = × $9,000 = $6,000Diff: 2Section: The Market PortfolioSkill: Analytical5) Suppose that you have invested $30,000 invested in the market portfolio. Then the amount that you have invested in Wyatt Oil is closest to:A) $4,500B) $6,000C) $7,715D) $9,000Answer: AExplanation: A)Amount WO = Weight WO × Amount Market= .15 × $30,000 = $4,500Diff: 2Section: The Market PortfolioSkill: Analytical6) Suppose that you have invested $30,000 in the market portfolio. Then the number of shares of Rearden Metal that you hold is closest to:A) 450 sharesB) 700 sharesC) 1,400 sharesD) 2,300 sharesAnswer: BExplanation: B)Calculations B × C D/1950Stock Price perShareNumber of SharesOutstanding(Millions)MarketCap WeightTaggart Transcontinental$25$ Rearden Metal$45$ Wyatt Oil$10$ Nielson Motors$26$Total$ Shares RM = = = sharesDiff: 2Section: The Market PortfolioSkill: Analytical7) Suppose that you have invested $30,000 in the market portfolio. Then the number of shares of Wyatt Oil that you hold is closest to:A) 150 sharesB) 300 sharesC) 350 sharesD) 450 sharesAnswer: AExplanation: A)Calculations B × C D/1950Stock Price perShareNumber of SharesOutstanding(Millions)MarketCap WeightTaggart Transcontinental$25$ Rearden Metal$45$ Wyatt Oil$10$ Nielson Motors$26$Total$ Shares WO = = = sharesDiff: 2Section: The Market PortfolioSkill: Analyticalin Taggart Transcontinental. The number of shares of Wyatt Oil that you hold is closest to:A) 90 sharesB) 460 sharesC) 615 sharesD) 770 sharesAnswer: BExplanation: B)Calculations B × C D/1950Stock Price perShareNumber of SharesOutstanding(Millions)MarketCap WeightTaggart Transcontinental$25$ Rearden Metal$45$ Wyatt Oil$10$ Nielson Motors$26$Total$= = sharesDiff: 2Section: The Market PortfolioSkill: Analyticalin Taggart Transcontinental. The number of shares of Rearden Metal that you hold is closest to:A) 780 sharesB) 925 sharesC) 1,730 sharesD) 2,075 sharesAnswer: BExplanation: B)Calculations B × C D/1950Stock Price perShareNumber of SharesOutstanding(Millions)MarketCap WeightTaggart Transcontinental$25$Rearden Metal$45$Wyatt Oil$10$Nielson Motors$26$Total$= = 2, sharesDiff: 2Section: The Market PortfolioSkill: Analytical10) Suppose that you have invested $100,000 invested in the market portfolio and that the stock price of Taggart Transcontinental suddenly drops to $ per share.Which of the following trades would you need to make in order to maintain your investment in the market portfolio:1. Buy approximately 1,140 shares of Taggart Transcontinental2. Sell approximately 256 shares of Rearden Metal3. Sell approximately 57 shares of Wyatt Oil4. Sell approximately 148 shares of Nielson MotorsA) 1 onlyB) 2 onlyC) 2, 3, and 4 onlyD) 1, 2, 3, and 4E) None of the aboveAnswer: EExplanation: E) There is no need to rebalance your portfolio. As an investor, you still hold the market portfolio and therefore there are no trades needed. Diff: 3Section: The Market PortfolioSkill: AnalyticalUse the following information to answer the question(s) below.Suppose that Merck (MRK) stock is trading for $ per share with billion shares outstanding while Boeing (BA) has million shares outstanding and a market capitalization of $ billion. Assume that you hold the market portfolio.11) Boeing's stock price is closest to:A) $B) $C) $D) $Answer: CExplanation: C) Price BA = = = $Diff: 1Section: The Market PortfolioSkill: Analytical12) Merck's market capitalization is closest to:A) $ billionB) $ billionC) $ billionD) $ billionAnswer: BExplanation: B) Market Cap = Price × shares outstanding = $ × 2,110 = $77,437 millionDiff: 1Section: The Market PortfolioSkill: Analytical13) If you hold 1,000 shares of Merck, then the number of shares of Boeing that you hold is closest to:A) 240 sharesB) 330 sharesC) 510 sharesD) 780 sharesAnswer: BExplanation: B) Shares BA== = sharesDiff: 3Section: The Market PortfolioSkill: Analytical14) Which of the following statements is FALSEA) All investors should demand the same efficient portfolio of securities in the same proportions.B) The Capital Asset Pricing Model (CAPM) allows corporate executives to identify the efficient portfolio (of risky assets) by using knowledge of the expected return of each security.C) If investors hold the efficient portfolio, then the cost of capital for any investment project is equal to its required return calculated using its beta with the efficient portfolio.D) The CAPM identifies the market portfolio as the efficient portfolio. Answer: BDiff: 1Section: The Market PortfolioSkill: Conceptual15) Which of the following statements is FALSEA) If investors have homogeneous expectations, then each investor will identify the same portfolio as having the highest Sharpe ratio in the economy.B) Homogeneous expectations are when all investors have the same estimates concerning future investments and returns.C) There are many investors in the world, and each must have identical estimates of the volatilities, correlations, and expected returns of the available securities.D) The combined portfolio of risky securities of all investors must equal the efficient portfolio.Answer: CDiff: 1Section: The Market PortfolioSkill: Conceptual16) Which of the following statements is FALSEA) If some security were not part of the efficient portfolio, then every investor would want to own it, and demand for this security would increase causing its expected return to fall until it is no longer an attractive investment.B) The efficient portfolio, the portfolio that all investors should hold, must be the same portfolio as the market portfolio of all risky securities.C) Because every security is owned by someone, the sum of all investors' portfolios must equal the portfolio of all risky securities available in the market.D) If all investors demand the efficient portfolio, and since the supply of securities is the market portfolio, then two portfolios must coincide. Answer: ADiff: 2Section: The Market PortfolioSkill: Conceptual17) Which of the following statements is FALSEA) The market portfolio contains more of the smallest stocks and less of the larger stocks.B) For the market portfolio, the investment in each security is proportional to its market capitalization.C) Because the market portfolio is defined as the total supply of securities, the proportions should correspond exactly to the proportion of the total market that each security represents.D) Market capitalization is the total market value of the outstanding shares of a firm.Answer: ADiff: 1Section: The Market PortfolioSkill: Conceptual18) Which of the following statements is FALSEA) A value-weighted portfolio is an equal-ownership portfolio: We hold an equal fraction of the total number of shares outstanding of each security in the portfolio.B) When buying a value-weighted portfolio, we end up purchasing the same percentage of shares of each firm.C) To maintain a value-weighted portfolio, we do not need to trade securities and rebalance the portfolio unless the number of shares outstanding of some security changes.D) In a value weighted portfolio the fraction of money invested in any security corresponds to its share of the total number of shares outstanding of all securitiesin the portfolio.Answer: DDiff: 1Section: The Market PortfolioSkill: Conceptual19) Which of the following statements is FALSEA) The most familiar stock index in the United States is the Dow Jones Industrial Average (DJIA).B) A portfolio in which each security is held in proportion to its market capitalization is called a price-weighted portfolio.C) The Dow Jones Industrial Average (DJIA) consists of a portfolio of 30 large industrial stocks.D) The Dow Jones Industrial Average (DJIA) is a price-weighted portfolio. Answer: BExplanation: B) A portfolio in which each security is held in proportion to its market capitalization is called a value-weighted portfolio.Diff: 2Section: The Market PortfolioSkill: Conceptual20) Which of the following statements is FALSEA) Because very little trading is required to maintain it, an equal-weighted portfolio is called a passive portfolio.B) If the number of shares in a value weighted portfolio does not change, but only the prices change, the portfolio will remain value weighted.C) The CAPM says that individual investors should hold the market portfolio, a value-weighted portfolio of all risky securities in the market.D) A price weighted portfolio holds an equal number of shares of each stock, independent of their size.Answer: AExplanation: A) Because very little trading is required to maintain it, a value-weighted portfolio is called a passive portfolio.Diff: 3Section: The Market PortfolioSkill: Conceptual21) Which of the following statements is FALSEA) A market index reports the value of a particular portfolio of securities.B) The S&P 500 is the standard portfolio used to represent "the market" when using the CAPM in practice.C) Even though the S&P 500 includes only 500 of the more than 7,000 individual . Stocks in existence, it represents more than 70% of the . stock market in terms of market capitalization.D) The S&P 500 is an equal-weighted portfolio of 500 of the largest . stocks. Answer: DExplanation: D) The S&P 500 is a value-weighted portfolio of 500 of the largest .stocks.Diff: 2Section: The Market PortfolioSkill: Conceptual22) Which of the following statements is FALSEA) The S&P 500 and the Wilshire 5000 indexes are both well-diversified indexes that roughly correspond to the market of . stocks.B) Practitioners commonly use the S&P 500 as the market portfolio in the CAPM with the belief that this index is the market portfolio.C) Standard & Poor's Depository Receipts (SPDR, nicknamed "spider") trade on the American Stock Exchange and represent ownership in the S&P 500.D) The S&P 500 was the first widely publicized value weighted index and it has become a benchmark for professional investors.Answer: BDiff: 2Section: The Market PortfolioSkill: Conceptual23) In practice which market index is most widely used as a proxy for the market portfolio in the CAPMA) Dow Jones Industrial AverageB) Wilshire 5000C) S&P 500D) . Treasury BillAnswer: CDiff: 1Section: The Market PortfolioSkill: Conceptual24) In practice which market index would best be used as a proxy for the market portfolio in the CAPMA) S&P 500B) Dow Jones Industrial AverageC) . Treasury BillD) Wilshire 5000Answer: DDiff: 1Section: The Market PortfolioSkill: ConceptualUse the table for the question(s) below.Consider the following stock price and shares outstanding data:25) The market capitalization for Wal-Mart is closest to:A) $415 BillionB) $276 BillionC) $479 BillionD) $200 BillionAnswer: DExplanation: D)Diff: 1Section: The Market Portfolio Skill: Analytical26) The total market capitalization for all four stocks is closest to:A) $479 BillionB) $415 BillionC) $2,100 BillionD) $200 BillionAnswer: BExplanation: B)Section: The Market PortfolioSkill: Analytical27) If you are interested in creating a value-weighted portfolio of these four stocks, then the percentage amount that you would invest in Lowes is closest to:A) 25%B) 11%C) %D) 12%Answer: BExplanation: B)Section: The Market Portfolio Skill: Analyticalvalue-weighted portfolio of these four stocks. The number of shares of Wal-Mart that you would hold in your portfolio is closest to: A) 710 B) 1390 C) 1000 D) 870 Answer: C Explanation: C)Stock Name Price per Share SharesOutstanding (Billions)MarketCapitalization (Billions)Percent of Total Number ofSharesLowes $ $ % 368 Wal-Mart $ $ % 1,002 Intel $ $ % 1,387 Boeing $ $ %190Total$Number of shares =Diff: 2Section: The Market Portfolio Skill: Analyticalvalue-weighted portfolio of these four stocks. The percentage of the shares outstanding of Boeing that you would hold in your portfolio is closest to: A) .000018% B) .000020% C) .000024% D) .000031% Answer: C Explanation: C)Stock Name Price per Share SharesOutstanding (Billions)MarketCapitalization (Billions)Percent of Total Number ofSharesLowes $ $ % 368 Wal-Mart $ $ % 1,002 Intel $ $ % 1,387 Boeing $ $ %190Total$Number of shares =percentage shares outstanding = 190/0 = .000024% Diff: 2Section: The Market Portfolio Skill: Analytical30) Assume that you have $250,000 to invest and you are interested in creating a value-weighted portfolio of these four stocks. How many shares of each of the fourstocks will you hold What percentage of the shares outstanding of each stock will you holdAnswer:Stock Name Price perShareSharesOutstanding(Billions)MarketCapitalization(Billions)Percentof TotalNumber ofSharesLowes$ $ %368Wal-Mart$ $ %1,002Intel$ $ %1,387Boeing$ $ %190Total$% of Shares%Number of shares =In a value weighted portfolio, the percentage of shares of every stock will be the same.Diff: 3Section: The Market PortfolioSkill: AnalyticalBeta EstimationUse the following information to answer the question(s) below.Year Risk-freeReturnMarketReturnWyatt OilReturnMarketExcessReturnWyatt OilExcessReturn Beta2007%%%%% 2008%%%.40%% 2009%%%%%1) Wyatt Oil's average historical return is closest to:A) %B) %C) %D) %Answer: AExplanation: A) r average =Year Risk-freeReturnMarketReturnWyatt OilReturnMarketExcessReturnWyatt OilExcessReturn2007%%%%% 2008%%%%% 2009%%%%% Average%%%%%Section: Beta EstimationSkill: Analytical2) The Market's average historical return is closest to:A) %B) %C) %D) %Answer: BExplanation: B) r average =Year Risk-freeReturnMarketReturnWyatt OilReturnMarketExcessReturnWyattOilExcessReturn2007%%%%% 2008%%%%% 2009%%%%% Average%%%%%Section: Beta EstimationSkill: Analytical3) Wyatt Oil's average historical excess return is closest to:A) %B) %C) %D) %Answer: CExplanation: C) excess return average =Year Risk-freeReturnMarketReturnWyatt OilReturnMarketExcessReturnWyattOilExcessReturn2007%%%%% 2008%%%%% 2009%%%%% Average%%%%%Section: Beta EstimationSkill: Analytical4) The Market's average historical excess return is closest to:A) %B) %C) %D) %Answer: DExplanation: D) excess return average =Year Risk-freeReturnMarketReturnWyatt OilReturnMarketExcessReturnWyattOilExcessReturn2007%%%%% 2008%%%%% 2009%%%%% Average%%%%%Section: Beta EstimationSkill: Analytical5) Wyatt Oil's excess return for 2009 is closest to:A) %B) %C) %D) %Answer: AExplanation: A) excess return e = (r WO - r rf)2009Section: Beta Estimation Skill: Analytical6) The Market's excess return for 2008 is closest to:A) %B) %C) %D) %Answer: AExplanation: A) excess return e = (r WO - r rf)2009Section: Beta EstimationSkill: Analytical7) Using the average historical excess returns for both Wyatt Oil and the Market portfolio, your estimate of Wyatt Oil's Beta is closest to:A)B)C)D)Answer: BExplanation: B) excess return average = excess return average =Year Risk-freeReturnMarketReturnWyatt OilReturnMarketExcessReturnWyattOilExcessReturn2007%%%%% 2008%%%%% 2009%%%%% Average%%%%%βWO= = = .8375Diff: 3Section: Beta EstimationSkill: Analytical8) Using the average historical excess returns for both Wyatt Oil and the Market portfolio estimate of Wyatt Oil's Beta. When using this beta, the alpha for Wyatt oil in 2007 is closest to:A) %B) %C) %D) +%Answer: CExplanation: C) excess return average =excess return average =Year Risk-freeReturnMarketReturnWyatt OilReturnMarketExcessReturnWyattOilExcessReturn2007%%%%% 2008%%%%% 2009%%%%% Average%%%%%βWO = = = .8375α = actual return - expected return for CAPM = % - [3% + .8375(6% - 3%)] = %Diff: 3Section: Beta EstimationSkill: Analytical9) Using just the return data for 2009, your estimate of Wyatt Oil's Beta is closest to:A)B)C)D)Answer: BExplanation: B)Year Risk-freeReturnMarketReturnWyatt OilReturnMarketExcessReturnWyattOilExcessReturn2007%%%%%2008%%%%%2009%%%%% Average%%%%%βWO = = = .8651Diff: 2Section: Beta EstimationSkill: Analytical10) Using just the return data for 2008, your estimate of Wyatt Oil's Beta is closest to:A)B)C)D)Answer: A Explanation: A)Year Risk-freeReturnMarketReturnWyatt OilReturnMarketExcessReturnWyattOilExcessReturn2007%%%%% 2008%%%%% 2009%%%%% Average%%%%%βWO = - = .8525Diff: 2Section: Beta EstimationSkill: Analytical11) Which of the following statements is FALSEA) Beta is the expected percent change in the excess return of the security for a 1% change in the excess return of the market portfolio.B) Beta represents the amount by which risks that affect the overall market are amplified for a given stock or investment.C) It is common practice to estimate beta based on the historical correlation and volatilities.D) Beta measures the diversifiable risk of a security, as opposed to its market risk, and is the appropriate measure of the risk of a security for an investor holding the market portfolio.Answer: DExplanation: D) Beta measures the nondiversifiable risk of a security.Diff: 1Section: Beta EstimationSkill: Conceptual12) Which of the following statements is FALSEA) One difficulty when trying to estimate beta for a security is that beta depends on the correlation and volatilities of the security's and market's returns in the future.B) It is common practice to estimate beta based on the expectations of future correlations and volatilities.C) One difficulty when trying to estimate beta for a security is that beta depends on investors expectations of the correlation and volatilities of the security's and market's returns.D) Securities that tend to move less than the market have betas below 1.Answer: BExplanation: B) Beta is measured using past information.Diff: 1Section: Beta EstimationSkill: Conceptual13) Which of the following statements is FALSEA) Securities that tend to move more than the market have betas higher than 0.B) Securities whose returns tend to move in tandem with the market on average have a beta of 1.C) Beta corresponds to the slope of the best fitting line in the plot of the securities excess returns versus the market excess return.D) The statistical technique that identifies the bets-fitting line through a set of points is called linear regression.Answer: ADiff: 2Section: Beta EstimationSkill: ConceptualUse the equation for the question(s) below.Consider the following linear regression model:(R i - r f) = a i + b i(R Mkt - r f) + e i14) The b i in the regressionA) measures the sensitivity of the security to market risk.B) measures the historical performance of the security relative to the expected return predicted by the SML.C) measures the deviation from the best fitting line and is zero on average.D) measures the diversifiable risk in returns.Answer: ADiff: 2Section: Beta EstimationSkill: Conceptual15) The a i in the regressionA) measures the sensitivity of the security to market risk.B) measures the deviation from the best fitting line and is zero on average.C) measures the diversifiable risk in returns.D) measures the historical performance of the security relative to the expected return predicted by the SML.Answer: DDiff: 2Section: Beta EstimationSkill: Conceptual16) The e i in the regressionA) measures the market risk in returns.B) measures the deviation from the best fitting line and is zero on average.C) measures the sensitivity of the security to market risk.D) measures the historical performance of the security relative to the expected return predicted by the SML.Answer: BDiff: 2Section: Beta EstimationSkill: ConceptualThe Debt Cost of CapitalUse the following information to answer the question(s) below.Consider the following information regarding corporate bonds:1) Wyatt Oil has a bond issue outstanding with seven years to maturity, a yield to maturity of %, and a BBB rating. The corresponding risk-free rate is 3% and the market risk premium is 5%. Assuming a normal economy, the expected return on Wyatt Oil's debt is closest to:A) %B) %C) %D) %Answer: BExplanation: B) r d = r rf + β(r m - r rf) = 3% + (5%) = %Diff: 1Section: The Debt Cost of CapitalSkill: Analytical2) Wyatt Oil has a bond issue outstanding with seven years to maturity, a yield to maturity of %, and a BBB rating. The bondholders' expected loss rate in the event of default is 70%. Assuming a normal economy the expected return on Wyatt Oil'sdebt is closest to:A) %B) %C) %D) %Answer: DExplanation: D) r d = ytm - prob(default) × loss rate = 7% - %(70%) = % Diff: 2Section: The Debt Cost of CapitalSkill: Analytical3) Wyatt Oil has a bond issue outstanding with seven years to maturity, a yield to maturity of %, and a BBB rating. The bondholders' expected loss rate in the event of default is 70%. Assuming the economy is in recession, then the expected return on Wyatt Oil's debt is closest to:A) %B) %C) %D) %Answer: BExplanation: B) r d = ytm - prob(default) × loss rate = 7% - %(70%) = %Diff: 2Section: The Debt Cost of CapitalSkill: Analytical4) Rearden Metal has a bond issue outstanding with ten years to maturity, a yield to maturity of %, and a B rating. The corresponding risk-free rate is 3% and the market risk premium is 6%. Assuming a normal economy, the expected return on Rearden Metal's debt is closest to:A) %B) %C) %D) %Answer: CExplanation: C) r d = r rf + β(r m - r rf) = 3% + (6%) = %Diff: 1Section: The Debt Cost of Capital。
Generally, the market potential is the highest estimated net revenue that they will realize from their enterprise. In the second meeting, you covered estimating a price. When they estimate market potential and use the price they calculated, they will see if they have covered their costs. One way for your clients to use their market potential analysis is to change their assumptions and see if they can still cover their costs. They can either lower their expectations of the number of people who will buy from them, or they can raise their prices. Writing down the assumptions they use to estimate their market potential and the changes they make to those assumptions is cational tour.Define the market segmentY our clients have identified the target market of the customers who are most likely to buy from them. The target market was generally described using demographic variables: gender, age, education and income. The market is also described using psychographic variables: lifestyle, interests and belief system variables. A client might have more than one target market. The most important piece of information from identifying the market is how many potential customers fit the target market description based on the variables a client chooses:■age■marital status■household income■gender■race/ethnicity■educationBecause not everyone in the defined market area will be a customer, each client needs to compare the target market profile to the population in the market area (see Bullen, 2006). Market areas are defined in several ways. Some methods require easy-to-collect data, whereas others require more complex data and the services of a marketing professional.Define the geographic boundaries of their marketY our clients have defined their market areas by geography, ring analysis or radius, trade area or drive-time. Most likely, they used geography, the simplest form of defining a market area. It defines the market area by using landmarks or some jurisdictional boundary, such as■neighborhoods (based on U.S. Census block data)■zip codes■city or county boundaries■Metropolitan Statistical Areas (MSA) state(multi-state) bordersDefine their competitionThe next piece a client needs is information about the competition. Continuing the agritourism example, your client finds out who the competitors are in the market and what they are offering.Example—AgritourismAssume your client finds three other farms with corn mazes. One has a petting zoo and pumpkin cannon included in the admission price. The other two farms offer the corn maze as one of several activities, including pick-your-own pumpkins and apples, hay rides anda haunted house—each priced separately. Y our client decides to offer the corn maze and an educational tour of the farm. Each participant will get a small bag of apples at the end of the tour. The tour includes a hay- ride around the farm with stops at various picture signs that point out production practices used and crops grown. Define the market sizeOnce a client has defined the market area, target market and total number of people in that market, he calculates the number of potential customers for the business.The total market will typically be adjusted downward to consider those who will not buy from your client. From the total people in the target market, the client estimates the percentage of consumers who would use the products or services.Example—AgritourismAssume the farm is already an agritourism operation.Y our client wants to offer a corn maze as well as something educational. The client decides to target children in kindergarten through third grade. The target market area is Wake County, which has 45,700 children between 5 and 9 years of age. Therefore, N (number of potential customers) = 45,700. They found this number in the 2000 U.S. Census.However, not all children under 9 will visit any agricultural facility. The client’s next step is to adjust the 45,700 to get a more accurate estimate of the actual market potential. A survey of elementary school teachers showed that 60 percent of kindergarten through third-grade teachers are willing and able to take an agriculturally related field trip.As a result, the 45,700 kindergarten through third graders needs to be multipled by 60 percent. This calculation results in an adjusted market potential of 27,420 potential students.Number of Potential Consumers = 45,700 × 0.60 = 27,420Determine the average annual consumption. Next, your clients determine how often their target market segment would use their product or service. This figure will have a significant impact on the estimated market potential. For instance, is a product purchased frequently, occasionally or infrequently? Obviously, the more frequently the product is purchased, the larger the market potential. An abundant amount of consumption information is available from the government as wellas industry trade associations. For example, the USDAcollects volumes of disappearance (consumption) data for many commodities and converts it into per-capita annual usage (consumption) estimates.The quantity of product your clients are selling would vary based on the product being sold. For example, if a client sells honey, the same customer may buy it five times in a season. If, however, a client is selling hayrides, most customers will buy only one in a season.Example—AgritourismThe client offers educational hay rides and a corn maze and assumes that students would come only once with their classes. If the client offers the same package on weekends or for special events like birthday parties, some students might come two or three times.Usage would be how often these school groups will take an agriculturally based field trip within a school year. The survey of elementary school teachers indicated that each teacher plans to take only one agriculturally based field trip this year. Therefore, use “1” as the estimateof use:Q (quantity used) = 1Calculations for Estimating Market ShareMarket share is the percentage of a market (either in number of units sold or revenue) accounted for by each business. It provides important insight into how much of the total potential market a client might capture. If the market share is not large enough to support the business, the client has a problem. Also, if the number of units needed for the business to break even financially is known, the client can determine what share of the market must be captured to achieve this break-even point. Y our clients need to be careful not to estimate an unrealistic market share. The result could spell financial problems.Estimating market share is difficult because of the lackof information. Some trade associations or market research publications and stories will supply some basic market share information, but finding directly applicable information for each client’s business may be impossible. Y our clients should estimate various scenarios based on what information they have. Remind your clients to write down the assumptions they use so that they can go back later and revise based on new information. Example—AgritourismAssume three existing agritourism operations are in a client’s market area. What percent of the total market might your client be able to acquire? Because data on agritourism in the area are not collected, your client won’t be able to come up with an accurate number. However, for planning purposes, you can “guesstimate”a market share. In this example, it is the number of units sold—the number of students going on the farm tour—that is being calculated.First, your client assumes that each of the competing farms in the market area has an equal share of the potential market, or 33.3 percent of the 45,700 children between ages 5 and 9. Next, the client assumes that if he enters this market, he will take an equal part of each existing operation’s business. The goal is to capture25 percent of the total potential market. To calculate the market share for each of the competitors, use this formula:Market share = 100% ÷ number of competing businesses Market share = 100 ÷ 3Market share = 33.3% for each of the existing agritourism businessesTo assume your client will get 25.0 percent of the market (assuming they divide the existing market evenly four ways) is probably unrealistic since the business is new, and the competitors have existing customer bases. Y our client can easily change the assumptions. For example, he assumes that he can capture 3.3 percent from each of the three existing operations. The client would then have10 percent of the total potential market.Using the total population of 45,700, your client estimates that only 60% of those children would probably be able to go on a field trip. When completing the calculation, the client finds only about 27,420 (45,700 × 0.60 = 27,420) would actually go on an agricultural field trip. Y our client decides to use this lower number (27,420) and 10 percent for the market share for the first year. Y our client finds he will have about 2,742 (27,420 × 0.10 = 2,742) children. This market potential number potential will help your client determine if the plan is feasible.N Total number of consumers(based on Wake County census): 45,700MS Market share (based on teacher survey results times the client’s estimate of how much of themarket can be captured from the competition):0.06*P Average selling price (based on cost of production): $8.00Q Average annual consumption (number of visits per student based on teachers’ survey): 1MP = N × MS × P × QMP = 45,700 × 0.06 × $8.00 × 1MP = $21,963*To calculate the percent of consumers buying from a client, multiply the percentage of consumers who are potential customers by the percentage of the market the client expects to capture from competitors. In the example, this calculation would be 0.6 × 0.1 = 0.06Any market potential estimate is only as good as the assumptions a client makes and the data used. Y our clients are better off estimating on the low side and setting their prices to cover their costs. If an estimate of market potential is low, the client will show a profit above his or her costs. If, however, the estimate is too high, your clientmay find it difficult to pay the bills at the end of the season.Part 2. Market Potential WorksheetAsk your clients to complete this worksheet at home.1.Total number of people within the target market area2.Consumption (How often is the product consumed, and how much of the product is consumed?)3.Competition (number of competitors)4.Calculate the market share:How many people matching your demographics live within the defined market area? Market Area Number of People (target market)County 1County 2Total number of peopleHow much of the product is consumed by your target customers?Market Area Consumption or usage (pounds)1. Market area 12. Market area 2Total all market areasWho is your competition?Competitor What product is offered?Price Competitor 1Competitor 2What percent of total potential customers go to the competition?Competitor Number ofcustomers Percentageof marketMarket share(customers × percentage)Competitor 1Competitor 2Total all competitors7. Total the information:Numbers you need to estimate your market potential:Total number of potential customers (N)Total consumption (Q)Total market share (MS)Your price per customer (P)Estimating Market Potential: MP = N × MS × P × QWhere:MP = market potentialN = total number customersMS = market shareP = average selling priceQ = average annual consumption (usage, number of times individual would attend)Y our numbersMP = N × MS ×P × QN = ______MS = ______P = ______Q = ______MP =ReferencesBullen, Gary. 2006. Direct Answers for Direct Marketers.Marketing Resource CD developed as part ofSouthern Region Sustainable Agriculture Researchand Education (SARE) grant. Raleigh: N.C. StateUniversity, Department of Agricultural and Resource Economics. Contact gary_bullen@.McConnon, J. 1996. Estimating Retail Market Potential.Bulletin #3012. Home-Based Business Fact Sheet series.Orono: University of Maine Cooperative Extension.Online: /onlinepubs/htmpubs/3012.htmWolfe, K. 2006. September. Estimating Market Potential Check-List. Center Report 06-08. Athens, Ga.: Center for Agribusiness and Economic Development, TheUniversity of Georgia. Online: http://www.caed.uga.edu/publications/2006/pdf/CR-06-08.pdf。
soe估算方法Estimating the value of State-Owned Enterprises (SOEs) is a complex and challenging task. There are various methods that can be used to estimate the value of SOEs, each with its own advantages and limitations. One common method is the Net Asset Value (NAV) method, which calculates the value of an SOE based on its assets and liabilities. This method can be relatively straightforward to apply, as it relies on the balance sheet of the SOE.估算国有企业(SOEs)的价值是一个复杂而具有挑战性的任务。
有各种方法可用于估算SOEs的价值,每种方法都有其各自的优点和局限性。
一种常见的方法是净资产价值(NAV)方法,该方法根据SOE的资产和负债来计算其价值。
这种方法相对较容易应用,因为它依赖于SOE的资产负债表。
However, the NAV method may not fully capture the true value of an SOE, as it does not take into account factors such as market conditions, industry trends, and the SOE's growth potential. Therefore, it is important to supplement the NAV method with other valuation techniques, such as the discounted cash flow (DCF) method. The DCF method takes into account the future cash flows of an SOEand discounts them back to their present value, providing a more comprehensive estimate of the SOE's worth.然而,NAV方法可能无法完全捕捉到SOE的真实价值,因为它没有考虑市场情况、行业趋势和SOE的增长潜力等因素。
项目管理专业术语(205个)1、活动,Activity2、活动定义,Activity Definition3、活动说明,AD=Activity Description4、活动延续时间估计,Activity Duration Estimating5、箭线网络图(双代号网络图),AOA=Activity-On-Arrow6、节点式网络图(单代号网络图),AON=Activity-on-Node7、已执行工作实际成本,ACWP=Actual Cost of Work Performed8、实际完成日期,AF=Actual Finish Date9、实际开始日期,AS=Actual Start Date10、行政收尾,Administrative Closure11、箭线,Arrow12、箭线图示法,ADM=Arrow Diagramming Method13、逆推计算法,Backward Pass14、横道图,Bar Chart15、基准计划,Baseline16、完工预算,BAC=Budget At Completion17、概算,Budget Estimate18、已执行预算成本,BCWP=Budgeted Cost of Work Performed19、计划执行预算成本,BCWS= Budgeted Cost of Scheduled20、日历单位,Calendar Unit21、变更控制委员会,CCB=Chang Control Board22、沟通规划,Communications Planning23、并行工程, Concurrent Engineering24、意外费用,Contingencies25、意外准备金,contingency Allowance26、意外规划,Contingency Planning27、意外储备,Contingency Reserve28、合同,Contract29、合同管理,Contract Administration30、合同收尾,Contract Close-out31、控制,Control32、控制图,Control Chart33、纠正措施,Corrective Action34、费用预算,Cost Budgeting35、费用控制,Cost Control36、费用做算,Cost Estimating37、质量成本,Cost of Quality38、费用绩效指数,CPI=Cost Performance Index39、费用偏差,CV=Cost Variance40、赶工,Crashing41、关键工序,Critical Activity42、关键路线,Critical Path43、关键路线法,CPM=Critical Path Method44、当前完成日期,Current Finish Date45、当前开始日期,Current Start Date46、数据日期,DD=Data Date47、交付物,Deliverable48、依赖关系,Dependency49、虚活动,Dummy Activity50、延续时间,DU=Duration51、延续时间压缩,Duration Compression52、最早完工日期,EF=Early Finish Date53、最早开始日期,ES=Early Start Date54、挣值法,EV=Earned value55、挣值分析,Earned value Analysis56、人工量,Effort57、估算,概算,Estimate58、在完成时的费用估算,EAC=Estimate At Completion59、到完成时的估算,ETC=Estimate To Complete60、单节点事件图,Event-on-Node61、例外报告,Exception Report62、完成日期,Finish Date63、完成到完成关系,FF=Finish-to-Finish64、完成到开始关系,FS=Finish-to-Start65、时差,机动时间,浮动时间,Float66、顺推计算法,Forward Pass67、自由时差,FF=Free Float68、职能经理,Functional Manager69、职能组织,Functional Organization70、甘特图,Gantt Chart71、图解评审技术,GERT=Graphical Evaluation and Review Technique72、集合工作,Hammock73、悬摆,Hanger74、信息分发,Information Distribution75、立项,Initiation76、成本/进度综合报告,Integrated Cost/Schedule Reporting77、邀标,IFB= Invitation for Bid78、关键事件进度计划,Key Event Schedule79、滞后量,Lag80、最晚完成日期,LF=Late Finish Date81、最晚开始日期,LS=Late Start Date82、提前量,Lead83、全生命期成本估算,Life-cycle Costing84、产品经理,Line Manager85、逻辑图,Logic Diagram86、逻辑关系,Logical Relationship87、回路,Loop88、管理储备量,Management Reserve89、主进度计划,Master Schedule90、矩阵型组织,Matrix Organization91、里程碑,Milestone92、里程碑进度计划,Milestone Schedule93、现代项目管理,MPM=Modern Project Management94、监控,Monitoring95、蒙托卡罗分析,Monte Carlo Analysis96、次关键工作,Near-Critical Activity97、网络,Network98、网络分析,Network Analysis99、网络逻辑,Network Logic100、网络路线,Network Path101、节点,Node102、组织分解结构,OBS=Organizational Breakdown Structure 103、组织规划,Organizational Planning104、整体变更控制,Overall Change Control105、重叠,Overlap106、参数估算法,Parametric Estimating107、线路,Path108、线路时差,Path Float109、完成百分比,PC=Percent Complete110、执行报告,Performance Reporting111、执行机构,Performing organization112、计划评审技术图,PERT Chart113、计划的完成日期,PF=Planned Finish Date114、计划的开始日期,PS=Planned Start Date115、优先图示法,PDM=Precedence Diagramming Method116、优先关系,Precedence Relationship117、紧前工作,Predecessor Activity118、采购规划,Procurement Planning119、工程,Program120、计划评审技术,PERT=Program Evaluation and Review Technique 121、项目,Project122、项目许可证,Project Charter123、项目沟通管理,Project Communication Management124、项目费用管理,Project Cost Management125、项目人力资源管理,Project Human Resource Management126、项目综合管理,Project Integration Management127、项目生命周期,Project Life Cycle128、项目管理,PM=Project Management129、项目管理知识体系,PMBOK=Project Management Body of Knowledge 130、项目管理软件,Project Management Software131、项目管理团队,Project Management Team132、项目经理,PM=Project Manager133、项目网络图,Project Network Diagram134、项目阶段,Project Phase135、项目计划,Project Plan136、项目计划开发,Project Plan Development137、项目计划实施,Project Plan Execution138、项目规划,Project Planning139、项目采购管理,Project Procurement Management140、项目质量管理,Project Quality Management141、项目风险管理,Project Risk Management142、项目进度计划,Project Schedule143、项目范围管理,Project Scope Management144、项目团队成员,Project Team Member145、项目时间管理,Project Time Management146、项目型组织,Project Organization147、质量保证,QA=Quality Assurance148、质量控制,QC=Quality Control149、质量规划,Quality Planning150、剩余持续时间,RDU=Remaining Duration151、请求建议书,RFP=Request for Proposal152、请求报价单,RFQ=Request for Quotation153、储备量,Reserve154、资源平衡,Resource Leveling155、资源约束进度计划,Resource-Limited Schedule156、资源规划,Resource Planning157、责任分配矩阵,RAM=Responsibility Assignment Matrix 158、责任图,Responsibility Chart159、责任矩阵,Responsibility Matrix160、保留金,Retain age161、突发事件,Risk Event162、风险识别,Risk Identification163、风险应对控制,Risk Response Control164、风险应对开发,Risk Response Development 165、S曲线,S-Curve166、进度计划,Schedule167、进度计划分析,Schedule Analysis168、进度计划压缩,Schedule Compression169、进度计划控制,Schedule Control170、进度执行指数,SPI=Schedule Performance Index 171、进度偏差,SV=Schedule Variance172、计划完成日期,SF=Scheduled Finish Date173、计划开始日期,SS=Scheduled Start Date174、范围,Scope175、范围基准计划,Scope Baseline176、范围变更,Scope Change177、范围变更控制,Scope Change Control178、范围定义,Scope Definition179、范围规划,Scope Planning180、范围验证,Scope Verification181、时差,Slack182、询价,Solicitation183、询价规划,Solicitation184、工作人员招募,Staff Acquisition185、项目相关者,Stakeholder186、开始日期,Start Date187、开始到完成关系,Start-to-Finish188、开始到开始关系,Start-to-Start189、工作说明,SOW=Statement of Work190、子网,Subnet191、子网络,Subnet Work192、后续工作,Successor Activity193、目标完成日期,TC=Target Completion Date 194、目标时度计划,Target Schedule195、任务,Task196、团队建设,Team Development197、团队成员,Team members198、时标网络图,Time-Scaled Network Diagram 199、目标完成日期,TF=Target Finish Date200、目标开始日期,Ts=Target Start Date201、总时差,TF=Total Float202、全面质量管理,TQM=Total Quality Management 203、权变措施,Workaround204、工作分解结构,WBS=Work Breakdown Structure 205、工作包,Work Package项目管理专业术语中的公共首字母缩略词ACWP Actual Cost of Work Performed 已执行工作实际成本AD Activity Description工作描述ADM Arrow Diagramming Method 箭线图示解法AF Actual Finish Date 实际完成日期AOA Activity-On-Arrow 双代号网络图AON Activity-On-Node 单代号网络图AS Actual Start Date 实际开始日期BAC Budget At Completion 在完成时的预算BCWP Budgeted Cost of work Performed 已执行工作预算成本BCWS Budgeted Cost of work Scheduled 计划完成工作预算成本CCB Change Control Board 变更控制委员会CPFF Cost Plus Fixed Fee 成本加固定费用(合同)CPIF Cost Plus Incentive Fee 成本加奖励费用(合同)CPI Cost Performance Index 成本执行指数CPM Critical Path Method 关键线路法CV Cost Variance 成本偏差DD Data Date 数据日期DU Duration 持续时间,工期EAC Estimate At Completion 在完成时的估算EF Early Finish date 最早完成日期ES Early Start date 最早开始日期ETC Estimate (or Estimated) To Complete 到完成时的估算EV Earned Value 挣值法FF Free Float or Finish-to-Finish 自由时差,或完成到完成关系FFP Firm Fixed Price 完全固定总价合同FPIF Fixed Price Incentive Fee 固定价加奖励费用FS Finish-to-Start 完成到开始关系GERT Graphical Evaluation and Review Technique 图示评审技术IFB Invitation For Bid 邀标LF Late Finish Date 最晚完成日期LOE Level of Effort 投入水平LS Late Start date 最晚开始日期MPM Modern Project Management 现代项目管理OBS Organization(al) Breakdown Structure 组织分解结构PC Percent Complete 完成百分比PDM Precedence Diagramming Method 优先图示法PERT Program Evaluation and Review Technique 计划评审技术PF Planned Finish date 计划完成日期PM Project Management or Project Manager 项目管理或项目经理PMBOK Project Management Body of Knowledge 项目管理知识体系PMP Project Management Professional 项目管理专业人员PS Planned Start date 计划开始日期QA Quality Assurance 质量保障QC Quality Control 质量控制RAM Responsibility Assignment Matrix 责任分配矩阵RDU Remaining DUration剩余工期RFP Request For Proposal 请求建议书RFQ Request For Quotation 请求报价单SF Scheduled Finish date or Start-to-Finish计划完成日期或开始到完成关系SS Scheduled Start date or Start-to-Start计划开始日期或开始到开始关系SOW Statement of Work 工作说明SPI Schedule Performance Index 进度执行指数SV S chedule Variance 进度偏差TC Target Completion date 目标完成日期TF Total Float or Target Finish date 总时差,或目标完成日期TS Target Start date 目标开始日期TQM Total Quality Management 全面质量管理WBS Work Breakdown Structure 工作分解结构。
AbstractThe peak location in a population of phase-tuned neurons has been shown to be a more reliable estimator for disparity than the peak location in a population of position-tuned neurons. Unfortunately, the disparity range covered by a phase-tuned population is limited by phase wraparound. Thus, a single population can-not cover the large range of disparities encountered in natural scenes unless the scale of the receptive fields is chosen to be very large, which results in very low resolution depth estimates. Here we describe a biologically plausible measure of the confidence that the stimulus disparity is inside the range covered by a popula-tion of phase-tuned neurons. Based upon this confidence measure, we propose an algorithm for disparity estimate that uses many populations of high-resolution phase-tuned neurons that are biased to different disparity ranges via position shifts between the left and right eye receptive fields. The population with the highest confidence is used to estimate the stimulus disparity. We show that this algorithm outperforms a previously proposed coarse-to-fine algorithm for dispar-ity estimation, which uses disparity estimates from coarse scales to select the populations used at higher scales.1 IntroductionBinocular disparity, the displacement between the image locations of an object between two eyes or cameras, is an important depth cue. Mammalian brains appear to represent the stimulus disparity using populations of disparity-tuned neurons in the visual cortex [1][2]. The binocular energy model is a first order model that explains the responses of individual disparity-tuned neurons [3]. In this model, the preferred disparity tuning of the neurons is determined by the phase and position shifts between the left and right monocular receptive fields (RFs).Peak picking is a common disparity estimation strategy for these neurons([4]-[6]). In this strategy,the disparity estimates are computed by the preferred disparity of the neuron with the largest response among the neural population. Chen and Qian [4] have suggested that the peak location in a population of phase-tuned disparity energy neurons is a more reliable estimate than the peak loca-tion in a population of position-tuned neurons.It is difficult to estimate disparity from a single phase-tuned neuron population because its range of preferred disparities is limited. Figure 1 shows the population response of phase-tuned neurons (vertical cross section) for different stimulus disparities. If the stimulus disparity is confined to the range of preferred disparities of this population, the peak location changes linearly with the stimu-lus disparity. Thus, we can estimate the disparity from the peak. However, in natural viewing condi-tion, the stimulus disparity ranges over ten times larger than the range of the preferred disparities of the population [7]. The peak location no longer indicates the stimulus disparity, since the peaks still occur when the stimulus disparity is outside the range of neurons’ preferred disparities. The false peaks arise from two sources: the phase wrap-around due to the sinusoidal modulation in the GaborEstimating disparity with confidence from energyneuronsEric K. C. TsangDept. of Electronic and Computer Engr.Hong Kong Univ. of Sci. and Tech.Kowloon, HONG KONG SAReeeric@t.hk Bertram E. Shi Dept. of Electronic and Computer Engr.Hong Kong Univ. of Sci. and Tech.Kowloon, HONG KONG SAR eebert@t.hkfunction modelling neuron’s receptive field (RF), or unmatching edges entering the neuron's RF[5].Although a single population can cover a large disparity range, the size of the required receptive fields is very large and results in very low resolution depth estimates. To address this problem,Chen and Qian [4] proposed a coarse-to-fine algorithm which refines the estimates computed from the coarse scales.Here we present an alternative way to estimate the stimulus disparity by a biologically plausible confidence measure for the population of phase-tuned neurons. This measure indicates whether the stimulus disparity lies inside or outside the range of their preferred disparities. We motivate this measure by examining the empirical statistics of the model neuron responses on natural images.Finally, we demonstrate the efficacy of using this measure to estimate the stimulus disparity. Our model generates better estimates than the coarse-to-fine approach [4], and it can detect occlusions. 2 Features of the phase-tuned disparity populationIn this section, we characterize different features of a population of the phase-tuned neurons. These features will be used in the analysis of the confidence measure. Figure 2a illustrates the binocular disparity energy model of a phase-tuned neuron [3]. For simplicity, we assume 1D processing,which is equivalent to considering one orientation in the 2D case. The response of a binocular sim-ple cell is modelled by summing of the outputs of linear monocular Gabor filters applied to both left and right images, followed by a positive or negative half squaring nonlinearity. The response of a binocular complex cell is the sum of the four simple cell responses.Formally, we define the left and right retinal images by and , where denotes the dis-tance from the RF center. The disparity is the difference between the locations of corresponding points in the left and right images, i.e., an object that appears at point in the left image appears at point in the right image. Pairs of monocular responses are generated by integrating image intensities weighted by pairs of phase quadrature RF profiles, which are the real and imagi-nary parts of a complex-valued Gabor function ():(1)where and are the spatial frequency and the phase of the left and right monocular RFs, and is a zero mean Gaussian with standard deviation , which is inversely proportional to the spatial frequency bandwidth. The spatial frequency and the standard deviation of the left and right RFs are identical, but the phases may differ ( and ). We can compactly express the pairs of left and right monocular responses as the real and imaginary parts of and , where with a slight abuse of notation, we defineand (2)The response of the binocular complex cell (the disparity energy) is the squared modulus of the sum of the monocular responses:Fig. 1: Sample population responses of the phase-tuned disparity neurons for different disparities.This was generated by presenting the left image in Figure 5a to both eyes but varying the disparity by keeping the left image fixed and shifting the right image. At each point, the image intensity represents the response of a disparity neuron tuned to a fixed preferred disparity (vertical axis) in response to a fixed stimulus disparity (horizontal axis). The dashed vertical lines indicate the stimulus disparities that fall within the range of preferred disparities of the population ( pixels).-40-30-20-10010203040-55stimulus disparity (pixels)9r V m y ()V s y ()y e y e +y k 2–=i y \ ()h y ()f k :y \+ h y ():y \+ dpt kh y ():y \+ tjo +==:\h y ()V \m \s W m \m ()W m f k \m =W s \s ()W s f k \s =W m h y ()f k :y V m y ()y e ³=W s h y ()f k :y V s y ()y e ³=(3)where the * superscript indicates the complex conjugation. The phase-shift between the right and left neurons controls the preferred disparity of the binocu-lar complex cell [6].If we fix the stimulus and allow to vary between , the function in (3) describes the population response of the phase-tuned neurons whose preferred disparities range between and . The population response can be completely specified by three features , and [5][4](4)where (5)Figure 2b shows the graphical interpretation of these features. The feature is the averageresponse across the population. The feature is the difference between the peak and average responses. Note that , since . The feature is the peak location of the population response. Peak picking algorithms compute the estimates from the peak location,i.e. [6].3 Feature Analysis In this section, we suggest a simple feature to differentiate between two classes of stimulus dispari-ties: DIN and DOUT corresponding to stimulus disparities inside () and outside the range of preferred disparities in the population.We consider the joint distribution of and in our analysis. Intuitively, the peak location is less effective in distinguishing between the in-range and out-of-range disparities, since Figure 1shows that the true and false peaks fall into the same range of . For illustration purpose, we con-sider an equivalent set of features: and . The feature is bounded between and ,since .Fig. 2: (a) Binocular disparity energy model of a disparity neuron in the phase-shift mechanism.The phase-shift between the left and right monocular RFs determines the preferred disparity of the neuron. The neuron shown is tuned to a negative disparity of . (b) The population response of the phase-tuned neurons centered at a retinal location with the phase-shifts can be characterized by three features and .'\()Half Squaring V m (V s (i y \ ()(a)(b)\s \m –S 3: e –F e '\()'\S –S >@ T Q ')F e '\()W m f k \m W s f k \s +3W m 3W m W s +f k –'\W m +W s f k '\W s 3+++=='\\s \m –=E qsfg '\ '\:e –|'\S r F e '\()S :e –S :e T Q ')F e '\()T Q ')'\–dpt +=T W m 3W s 3+=Q 3W m W s 3W m W s+=='))m )s –W m W s+ bsh ==T Q T Q t T Q –W m W s – 31!=')e ftu '):e –=e S :e d e S :e ! T Q ')S r T S Q T e =S 12T QtBecause of the uncertainties in the natural scenes, the features and are random variables. In making a decision based on random features, Bayesian classifiers minimize the classification error.In particular, decisions are made by comparing how likely the features favor the true hypothesis (DIN) over reference hypothesis (DOUT), through the Bayes factor:(6)where the threshold controls the decision boundary on the feature space and depends upon the prior class probabilities and . The function is the condi-tional density of the features given the class .To find the optimal decision boundary for the features and , we estimated the joint class likeli-hood by binning the features and from the empirical statistics. The statistics of the features are computed using the “Cones” and the “Teddy” stereograms from Middlebury Col-lege [8][9], shown in Figure 5a. The stereograms are rectified, where the correspondences are located in the left and right horizontal scan-lines. Each image has 1500 x 1800 pixels. We con-structed a population of phase-tuned neurons at each pixel. The disparity neurons had the same spa-tial frequency and standard deviation, and were selective to vertical orientations. The spatial frequency was radians per pixel and the standard deviation in the horizontal direction was pixels, corresponding to a spatial bandwidth of 1.8 octaves. The standard deviation in the vertical direction was . The range of the preferred disparities (DIN) of the population is between pixels. To reduce the variability in the classification, we also applied a small Gaussian spatial pooling with the standard deviation to the population [4][5]. The features and computed from population were separated into two classes (DIN and DOUT) according to the ground truth in Figure 5b.Figure 3a-b show the empirical joint likelihoods for the two classes. They were computed by bin-ning the features and with the bin sizes of 0.01 for and 0.25 for . Given the disparity within the range of preferred disparities (DIN), the joint density concentrates at small and large . For the out-of-range disparities (DOUT), the joint density shifts to both large and small .Intuitively, a horizontal hyperplane, illustrated by the red dotted line in Figure 3a-b, is an appropri-ate decision boundary to separate the DIN and DOUT data. This indicates that the feature can be an indicator to distinguish between the in-range and out-of-range disparities. Mathematically, we can compute the optimal decision boundaries by applying different thresholds to the Bayes factor in(6). Figure 3c shows the boundaries. They are basically flat except they bend downward for small .We also demonstrate the efficacy of using thresholding instead of using the optimal decision boundaries to distinguish between in-range and out-of-range disparities. Given the prior class prob-abilities, we compute a hyperplane for that minimizes the total probability of classification error:Fig. 3: The empirical joint density of and given (a) DIN and (b) DOUT. (c) The optimal decision boundaries derived from the Bayes factor. (d) The change in total probability of error between using a flat boundary (thresholding ) versus the optimal boundary.T S C T S g T S D t s EJO g T S D t s EPVU -------------------------------------=EJO !!!!! EPVU U T S U T S T S ^`Q EJO ()Q EPVU ()g T S D t s d ()d EJO EPVU ^` T S g T S D t s d ()T S :3S 27e =V 7/89=3V 9r 1/6V T S510152000.20.40.60.81510152000.20.40.60.81T T (a)T S Q f 'S T S S T T S T S S T S d –1=d 12 >@(7)We then compare this total probability of error with the one computed using the optimal decision boundaries derived in (6). Figure 3d shows the deviation in the total probability of error between the two approaches for different priors of DIN. The deviation is small (on the order of ) sug-gesting that thresholding results in similar performance as using the optimal decision boundaries.Thus, seems to be a confidence measure for distingishing DIN and DOUT. Moreover, this mea-sure can be explained by the normalization, a common model for V1 neurons [10].4 Hybrid position-phase model for disparity estimation with validationOur analysis above shows that is a simple indicator to distinguish between in-range and out-of-range disparities. In this section, we describe a model that uses this feature to estimate the stimulus disparity with validation.Figure 4 shows the proposed model, which consists of populations hybrid-tuned disparity neurons tuned to different phase-shifts and position-shifts . For each population tuned to the same position-shift but different phase-shifts (phase-tuned population), we compute the feature by normalizing the difference between the peak () and average response () by . The average activation can be computed by pooling the responses of the entire phase-tuned neurons. The fea-tures at different position-shifts are compared through a winner-take-all network to select the position-shift with the maximum . The disparity estimate is further refined by the peak location by(8)In additional to estimate the stimulus disparity, we also validate the estimates by comparing with a threshold . Instead of choosing a fixed threshold, we vary the threshold to show that the feature can be an occlusion detector.4.1 Disparity estimation with confidenceWe applied the proposed model to estimate the disparity of the “Cones” and the “Teddy” stereo-grams, shown in Figure 5a. The spatial frequency and the spatial standard deviation of the neurons were kept the same as the previous analysis. We also performed the spatial pooling and the orienta-tion pooling to improve the estimation. For spatial pooling, we applied a circularly symmetric Gaussian function with the same standard deviation . For orientation pooling, we pooled theFig. 4: Proposed disparity estimator with the validation of disparity estimates.Q f Q EJO ()g T S D t s EJO S d – 1 ³Q EPVU g T S D t s EPVU S d – 1!³+=213–S SDIN V m y (V s y (e ftu S '\'d S 'd T Q +T T T S 'd 'd +S 'd ')'d +e ftu 'd +')'d +:----------------–=S 'd +U S S 'd Vresponses over five orientations ranging from 30 to 150 degrees. The range of the position-shifts for the populations was set to the largest disparity range, pixels, according to the ground truth.We also implemented the coarse-to-fine model as described in [4] for comparison. In this model, an initial disparity estimate computed from a population of phase-tuned neurons at the coarsest scale is successively refined by the populations of phase-tuned neurons at the finer scales. By choosing the coarsest scale large enough, the disparity range covered by this method can be arbitrarily large. Thecoarsest and the finest scales had the Gabor periods of 512 and 16 pixels. The Gabor periods of the successive scales differed by a factor of . Neurons at the finest scale had the same RF parame-ters as our model. Same spatial pooling and orientation pooling were applied on each scale.Figure 5d-e show the estimated disparity maps and the error maps of the two approaches. The error maps show the regions where the disparity estimates exceed 1 pixel of error in the disparity. Both models correctly recover the stimulus disparity at most locations with gradual disparity changes,but tend to make errors at the depth boundaries. However, the proposed model generates more accurate estimates. In the coarse-to-fine model, the percentage of pixels being incorrectly estimated is 36.3%, while our proposed model is only 27.8%.In the coarse-to-fine model, the estimates appear to be blurry around the depth boundaries and tend to make errors. This arises because the model assumption that the stimulus disparity is constant Fig. 5: (a) The two natural stereograms used to evaluate the model performance. (b) The ground truth disparity maps with respect to the left images, obtained by the structured light method. (c) The ground truth occlusion maps. (d) The disparity maps and the error maps computed by the coarse-to-fine approach. (e) The disparity maps and the error maps computed by the proposed model. The detected invalid estimates are labelled in black in the disparity maps.T e d d yC o n e s -1000100Left Right (a)(b)(d)(c)(e)error estimate errorestimate 239r 3over the RF of the neuron is unlikely at very large scales. At boundaries, the coarse-to-fine model generates poor initial estimates, which cannot be corrected at the finer scales, because the actual stimulus disparities are outside the range considered at the finer scales.On the other hand, the proposed model is not only able to estimate the stimulus disparity, but it can also validate the estimates. In general, the responses of neurons selective to different position dis-parities are not comparable, since they depend upon image contrast which varies at different spatial locations. However, the feature , which is computed by normalizing the response peak by the average response, eliminates such dependency. Moreover, the invalid regions detected (the black regions on the disparity maps) are in excellent agreement with the error labels.4.2 Occlusion detectionIn addition to validating the disparity estimates, the feature can also be used to detect occlusion.Occlusion is one of the challenging problems in stereo vision. Occlusion occurs near the depth dis-continuities where there is no correspondence between the left and right images. The disparity in the occlusion regions is undefined. The occlusion regions for these stereograms are shown in Figure 5c.There are three possibilities for image pixels that are labelled as out of range (DOUT). They are occluded pixels, pixels with valid disparity that are incorrectly estimated, and pixels with valid dis-parity that are correctly estimated (misclassification). Figure 6a shows the percentages of the three possibilities in the DOUT regions for different decision thresholds . Formally, these percentages are defined by(9)where these percentages sum to unity for any thresholds . For small thresholds, the detector mainly identifies the occlusion regions first and then regions with incorrect estimates. Figure 6b shows the percentages of the three possibilities being labelled as DOUT in the entire image. For-mally, these percentages are defined by(10)For a large threshold ( close to unity), all estimates are labelled as DOUT. Thus, the three possi-bilities are 100%. The proposed detector is effective in identifying occlusion. At the threshold , it identifies ~70% of occlusion, ~20% of estimation error and ~10% of misclassifica-tion.Fig. 6: The percentages of the three possibilities for those images regions that are labelled as out of range (DOUT). They are either due to the occlusion (thick lines), the true error in the estimates (thin lines), or misclassifing the correct estimates as DOUT (dotted lines). (a) Considered only the DOUT regions, (b) Considered the entire image.S S U S Q2&$!pg!uisff!qpttjcjmjujft!jo!uif!EPVU!sfhjpot $!pg!EPVU!mbcfmt -----------------------------------------------------------------------------------------------------------------------------------211&u =U S Q3&$!pg!uisff!qpttjcjmjujft!jo!uif!EPVU!sfhjpot $!pg!uisff!qpttjcjmjujft!jo!uif!jnbhf -----------------------------------------------------------------------------------------------------------------------------------211&u =U S U S 1/4=S5 DiscussionThis work suggests a complementary functional role for normalization in neural responses, whose magnitudes can serve as a confidence measure for the disparity estimate implied by the population.Normalization has been encountered in models of V1 neurons [10]. Previous theories emphases that the goal of normalization is to remove the dependencies of image contrast in the neural responses. Even in models of disparity estimation using population of neurons in V1, the normal-ization is applied to normalize the response strength so that the neural responses tuned to different stimulus dimensions are comparable [11]. However, the normalization described here should not be interpreted as solely reducing dependency upon stimulus energy. Our experimental analysis shows the normalization magnitude decouples the population response due to the in-range and out-of-range stimulus disparities and it can detect occlusion effectively. The analysis also indicates that un-normalized responses (e.g. and ) do not have this property.References[1]H. B. Barlow, C. Blakemore, and J. D. Pettigrew. The neural mechanism of binocular depth discrimi-nation. Journal of Neurophysiology, vol. 193(2), 327-342, 1967.[2]G . F. Poggio, B. C. Motter, S. Squatrito, and Y . Trotter. Responses of neurons in visual cortex (V1 and V2) of the alert macaque to dynamic random-dot stereograms. 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IJCV , vol. 47(1/2/3), 7-42, 2002. [9]D. Scharstein and R. Szeliski. High-accuracy stereo depth maps using structured light. IEEE CVPR,vol. 1, 195-202, 2003.[10]D. J. Heeger. Normalization of cell responses in cat striate cortex. Visual Neuroscience, vol. 9, 181-198, 1992.[11]S. R. Lehky and T. J. Sejnowski. Neural model of stereoacuity and depth interpolation based on a dis-tributed representation of stereo disparity [published erratum appears in Journal of Neuroscience, vol.11(3), 1991]. Journal of Neuroscience, vol. 10, 2281-2299, 1990.S T Q。