Modelling cash flow in construction projects in countries in transition

Size: px
Start display at page:

Download "Modelling cash flow in construction projects in countries in transition"

Transcription

1 Modelling cash flow in construction projects in countries in transition Mladen Raduj kovic Faculty of Civil Engineering, University of Zagreb, Zagreb, Croatia Summary The paper describes the modelling of cash flow in construction projects in countries in transition. Data of construction contribution in investment is shown, as well as GDP and total employed personnel in Croatian construction industry. Analysed are the most important changes which affect construction in a country in transition as well as those changes which affect the modelling of cash flow. In the central part of the paper, the effect of risk and time slacks on the ability to form theoretical curves of cost flows is analysed. Results of research related to the effect of risk on time and cost, performed on 100 randomly chosen construction projects, are presented. The main sources of risk are described. The analysis of the effect of risk is performed with the aid of interpolation of various curves for costs between planned and actually recorded cost curves on the observed projects. Testing for each individually obtained curve for costs is performed through the bestfit approach with 18 theoretical functions. Ranking is performed according to the (hi-square and Kolmogorov-Smirnov tests. The analysis shows that the effect of risk increases the interval of possible shapes of the cost curves and the various possible forms of best approximation. The testing of the effects of reserves for completion also indicates various possible deviations from a single curve. From that then, this paper proposes the creation of a value interval instead of a single theoretical curve. In order to ensure a practical value of results, proposed are criteria by which projects can be grouped. The concluding part of the paper discusses possible application of modelling of cash flow in connection with possible directions of development in a particular country in transition. For example in Croatia the emphasis is oriented on tourism, which like most human activities affects the natural resources which acted like a base for its development. From this then, the paper discusses the need for the development of a model of sustainable development, which includes a balance between commercial success of a project and environmental protection. In the calculation of cash flow it is necessary to include costs of protection of natural resources, but according to a model which protects and unites the interests of investors, government and institutions of environmental protection. Key words: cash flow, country in transition, construction projects, risk, development

2 1. Cash Flow Data related to monetary transactions is not complete if it does not indicate time duration along with cash amounts. Planned cash flow is, therefore, equally important for all partners in construction projects. From the early phases of projects up to the time of contract signing, no partner has the necessary information for the creation of a precise plan for billing or payouts of money. The flow of cash is exceptionally difficult to determine ahead of time due to the influence of a large number of variables which give an unlimited interval of possible profiles. With an insufficient amount of exact information, every partner relies on estimates based on personal experience attained on previous similar structures. Complete repetition of previous steps is acceptable if measures and factors are the same on both projects. In this case it happens seldom, so precision in planning calculations is not guaranteed. During recent years, certain methods of prediction and modelling of cash flow profiles in projects have been developed. All approaches are generally based on the use of certain mathematical formulas and computers. The product is usually a profile with the shape of an S-curve which shows the cumulative value with weaker beginning and ending growth rates in phases of work start-up and finishing. Developed models follow the same concept of cash flow development. That is, the difference of cash in and cash out originated through the conversion of cumulative value curves and cumulative cost commitment curves, using time delays and retention [I]. The primary emphasis of the research is placed on the creation of ideal curves for the various types of projects - Bromilow & Henderson 1977 [2], Hudson 1978 [3], Singh & Won 1984 [4], Tucker 1988 [5], Skitmore 1992 [6], Kaka 1996 [ 11. The importance of past researches have been pointed out by various authors [8, 91, but there still remain various opinions about the level of precision of the proposed methods. 2. Construction in economies in transition Development and construction activity in previously socialist countries was significantly determined by political ideals. In the former Yugoslavia, politics favoured large industrial projects and massive residential building. This was primarily due to the political idea that every worker must have a permanent job and a flat in which to live for a minimal cost. Together with permanent investment in infrastructure, that insured the construction industry in Croatia a portion of about 50% in investments and about 10% in GDP, and S-10% of all employed people worked in the construction industry [IO]. Like the other industrial branches, construction had insured employment and market through required government support in cases of poor functioning of some company. So, for the evaluation of the success of a construction project, emphasis was placed on the technical correctness and functionality of a structure, while cost and time were not primary criteria for the evaluation of success. Methods of evaluating and keeping record of cash flows in construction projects were only partially used. There are few examples in modern history where such a large amount of significant changes occurred in a short period simultaneously like in Croatia: war, creation of state, change in social organisation, change in the economic system and a shift to a market

3 economy, privatisation,... For the construction industry, the following changes are especially significant: Reduction of investments and employment in construction. Insufficient capital in companies. Absence of government support in cases of poor performance. Opening of the market for foreign competition. Significant reduction of the number of employees in large companies, with simultaneous changes in the structure of employed personnel in favour of production workers and the opening of a large number of smaller companies. Change in the ownership structure of the company in which significant shares are taken over by groups of individuals, therefore, a change in the manner of managing and decision making. Removal of non-construction and secondary activities in the structure of the company. Time and money spent on construction and later on maintenance of the structure become important criteria for evaluating success s Id II g 80 z k8 60 a Year Fig. 1: GDP, investment, construction works and employment (1990. y. =loo%) [lo] In each of the mentioned changes the significance of money, which is much in demand on the market, was emphasised. The way money is managed becomes a key factor for success for individuals and companies, and, therefore, for the general economy in transition. Planning and control of cash flow in construction projects becomes exceptionally significant for every contractor and investor. 3. Influence of risk on cash flow The formula which was most commonly used for predicting cash flow in construction projects was the one published by the Department of Health and Social Security in Great Britain [3]. That is one formula with which it is necessary to use a series of pairs

4 of parameter values for the creation of the correct curve for a project of a particular size. The DHSS formula was tested by numerous researchers with the goal of improving and simplifying it. Skitmore [6] analysed the DHSS formula on 27 completed construction projects grouped into four basic types. Research into various models for predicting best values for parameters shows that they are all equally productive, and that well grouped structures significantly improves the quality of forecasting. Tucker 1988 [S]. proposed an alternative form and use the Weibull function with seven parameters. Kaka and Price [IS] performed research on about 150 completed construction projects, who s individual and group analyses determined that cost commitment models are more accurate and reliable than value models. Kaka 1996 [l] proposed a model with a large number of variables and stochastic simulation which includes analysis of the effects of risk. Taking into consideration results of previous research which indicated that the shape of a curve depends on the sum of costs [5], type and size of project, and type of contract [6, 81, we have attempted to look into additional effects - especially risk and activity time slacks k Construction projects finished in Fig. 2: Occurrence of overruns of planned times and planned money in samples of construction projects in the year of Our beginning research [ 11, 121 consisted of creating project plans for a large number of construction projects. Curves of planned costs were then constructed from these project plans. At various points of completion, status control was exercised and data was collected. With the data it was possible to: 1. Construct an actual cost curve. 2. Perform further forecasting for a planned curve at individual points of completion. 3. Analyse the causes of deviation between planned and actual cost curves. For modelling cash flow especially significant are results related to deviations between planned and actual cost curves. Research into 100 randomly chosen construction projects showed an average of 66% overruns in planned times and an average of 1 7% overruns in planned costs [ 131, with about 18% of extreme cases with a time overrun of

5 over 100%. Added research in the year of 1997, with data from 1996/97, shows that overruns of planned times occurred in 74% of projects, and overruns of planned costs in 69% of projects. Research shows that in about 2/3 of construction projects there exists a general trend of problems with overruns of planned times and costs. The analysis of risk indicates that a dominant portion, 58%, of risk is from internal sources which have causes rooted in the project. That shows that although there exists a problem of large changes in the transition market, individuals and companies that adapt too slowly to the changing global market are largely responsible for project shortcomings. Five dominant sources of risk according to occurring frequency are climate, local permits, poor project preparation and participant optimism, unsolved financing of the project and incomplete technical documentation. The analysis of sources of risk in a transitional market like in, Croatia, indicates that according to occurring frequency criteria and degree of negative influence on planned time and cost goals in construction projects, the dominant problems are unrealistic and overoptimistic planned goals and unsolved financing along with various forms of limitations. The effects of risk are a significant factor which creates differences in cash flow in construction projects. Risks cause differences even between completely similar projects, so it is therefore difficult to group projects by particular criteria and automatically have similarities in cash flows. For the analysis of effects of risk we have performed an interpolation of various cost curves between planned and actually recorded cost curves on observed projects. We took into account that initial plans were overoptimistic and varied the effect of risk. Testing of individual obtained cost curves was performed through the bestfit approach with 18 theoretical functions [ 141. Ranking was done according to the Chi square and Kolmogorov-Smirnov tests. Analysis shows that with increased elimination of effects of risk normal distribution becomes dominant, however, if risk is included in projects then variations in results are increased. Rayleigh Beta 10% Erlang 2% Logistic 17% Weibull 21% Fig. 3: Results of bestfit approach - rank according to Chi square test - minimal risk effects included

6 Performed research indicates that: 1. Effects of risk significantly influence the possible shape of cash flow curves. 2. Considering the impossibility of eliminating all risks in a project, or the ability to exactly forecast all risks in early phases of projects, research shows that the precision of individual theoretically obtained curves is questionable. It is, therefore, better to determine an interval of possible values instead of attempting to predict exact individual values. 4. Influence of time slacks on cash flow The other significant factor affecting the shape of cost flow curves is the allowance to complete certain activities at various times. The use of network planning techniques enables the identification of noncritical activities who s planned completion is always within the area of Early Start (ES) - Late Start (LS). In practice, this means that instead of one specific cost flow curve it is possible to construct an area of cost flow with boundaries ES and LS curves. All values within the boundary area are possible and represent completion according to plan. Reserves in completion an activity time are positive in every case of management, and contractors closely study them during preparation. From this point of view as well, then, it is also difficult to determine one particular curve which will absolutely represent cash flow in a construction project. On Fig. 4., shown is the area of LS cost flow curve for a group of projects concerning small tourist structures with 4 floors and an average completion time of one construction season and an average price of construction works of 1.5 mil. DEM (without furnishings). In comparison shown is cost curve obtained through the application of theoretical formulas from literature [5], for which it can be said that it probably represents an interpolation within ES and LS areas g E 40 a * Time +1 -a-2 +3 *4 -m-s lo -D-l1 +12 *13 -m-14 -nub j@D20 Fig. 4: Examples of cost curve areas for late start and minimal effects of risk (19 = average sample for late start Weibull(l.92 ; 0,60); (20 = theoretical Weibull curve (1,98;0,53) [5] ;)

7 The area between curves 19 and 20 might represent an interval of probably values for cost curve in this case, with included minimal effects of risk and no final time and cost overruns. Using results of our work and work done by other researchers, for a practical application we have adopted an approach which dictates that for determining cost flow curves, boundaries of curve group intervals should be set. In order for results to have practical values the interval has to be sufficiently narrow. This is achieved by grouping projects by numerous similarity variables: 1. Similar technical characteristics of structures. 2. For costs in intervals up to 1; 1-2; 2-4;...(mil. DEM). 3. For project duration in intervals up to 0,5; 0,5-l; l-2; 2-3, more than 3 (years). 4. In conditions of control or effect of similar primary sources of risk. 5. Same type of contract. 6. Same size of contractor. 5. Sustainable development and cash flow planning in economies in transition The motive for a new project in every economy is the desire for development and profit. In an economy in transition these wishes are even more evident but at the same time are limited by a shortage of cash for investment into development. During the socialist era, development was carried out in the name of development through which the success of political ideals was proved. Through political and economic changes, countries in transition are trying to follow economic laws of market economies in order to achieve a standard and level equal to that in developed countries. In this approach, complete copying of development paths and development of the same areas could be contraproductive. Economies in transition have to follow their own development path in which the speed and quality of development will be harmonious. It is precisely the quality of development which points toward a need for orientation in the direction of traditional resources and wealth of a country in transition. An alternative to secondary or unclear production which is simply transferred from developed countries can be found in modelling of sustainable development. For example in, Croatia, this could be an emphasised orientation on services in which tourism development dominates. Tourism is a significant factor in development plans in many countries in transition. Culture, history, and natural beauty can serve as an excellent base for the development of tourism if the safety of tourists and acceptable prices and quality of service can be guaranteed. However, like most human activities tourism has consequences that affect the base which determines its initial development. This implies a spiralling reduction in natural resources: scenery, water,... A high level of information, a conscientious plan of environmental protection and the monitoring of laws and bylaws in developed countries enables countries in transition to make good decisions on time. In the case of tourism this is controlled sustainable development, in which at the project planning phase it is necessary to include plans for protection of natural resources. In, Croatia, research looking into air and water pollution control, and solid waste disposal is being developed. Some results for example indicate that it is possible to solve the solid waste problem of the tourist area of the southern Adriatic coast in,

8 Croatia, with a yearly investment of about 4 mil. DEM. [ 151. With cash flow modelling, or economic parameters of projects, it is possible to find a model for parallel tourism development and environmental protection. Since investors are significantly burdened with expectations of maximum profit, and, hence, minimum costs, it is probable that local and government authorities will have to control the process. This could happen through permits, concessions, regulations, laws, bylaws, and a system of penalties or benefits. That is an important co-operative effort between the investor, government, and institutions which ensure environmental protection. Success primarily depends on the modelling of an acceptable cash flow solution in projects according to balanced criteria settled bv all parties involved. 6. Referen.ces Kaka A.P. (1996) Towards more flexible and accurate cash flow forecasting, Construction Management and Economics 14, Bromilow F. J & Henderson J.A. (1977) Procedures for Reckoning and Valuing the Performance of Building Contracts, CSIRO Div. of Building Research, Highett Hudson K. W. (1978) DHSS expenditure forecasting model, Chartered Quantity Surveying Quartile, 5, 3,42-45 Singh S. & Woon P.W. (1984) Cash flow trends for high rise buildings, Proceedings of the International Symposium on Organisation and Management of Construction, University of Waterloo, Canada, pp Tucker S. N. (1988) A single alternative formula for DHSS S-curves, Construction Management and Economics 6, Skitmore M. (1992) Parameter prediction for cash flow forecasting models, Construction Management and Economics 10, Singh S. (1996) Cash flow trends for infrastructural works in residential developments, Shaping theory and practice (vol. 2) E&FN Spoon, London. Kaka A.P. & Price A.D.F. (1993) Modelling standard cost commitment curves for contractors cash flow forecasting, Construction Management and Economics 11, Harris & McCaffer (1989) Modern Construction Management, BSP, Oxford. Statistical yearbook of Croatia, 1994., 1995., Statisticki zavod RH, Zagreb. Izetbegovic J. & Radujkovic M. (1996) Research on projects realisation trends, Proceedings of international symposium Information systems 95, University of Zagreb, Varazdin 1995, p. Bl-5. Simic T. & Pejovic T. & Radujkovic M. (1997) Information system for planning and control of cash flow in a project, Proceedings of international symposium Information systems 96, University of Zagreb, Varazdin 1996, p. 16 l Radujkovic M. (1997) Risk sources and drivers in construction projects, Management risks in projects, E&FN Spoon, London, Bestfit, Palisade Co., N.Y., Milcic J. (1997) Solution to the problem of solid communal waste from Makarska to Dubrovnik, Gradevinar 49-4, p

Textbook: pp Chapter 11: Project Management

Textbook: pp Chapter 11: Project Management 1 Textbook: pp. 405-444 Chapter 11: Project Management 2 Learning Objectives After completing this chapter, students will be able to: Understand how to plan, monitor, and control projects with the use

More information

RISK REGISTERS IN CONSTRUCTION IN CROATIA

RISK REGISTERS IN CONSTRUCTION IN CROATIA RISK REGISTERS IN CONSTRUCTION IN CROATIA Ivana Burcar 1 and Mladen Radujkovic 2 1,2 Department of Construction Management, Faculty of Civil Engineering, University of Zagreb, Kaciceva 26, 10 000 Zagreb,

More information

1 of 14 4/27/2009 7:45 AM

1 of 14 4/27/2009 7:45 AM 1 of 14 4/27/2009 7:45 AM Chapter 7 - Network Models in Project Management INTRODUCTION Most realistic projects that organizations like Microsoft, General Motors, or the U.S. Defense Department undertake

More information

Introduction. Introduction. Six Steps of PERT/CPM. Six Steps of PERT/CPM LEARNING OBJECTIVES

Introduction. Introduction. Six Steps of PERT/CPM. Six Steps of PERT/CPM LEARNING OBJECTIVES Valua%on and pricing (November 5, 2013) LEARNING OBJECTIVES Lecture 12 Project Management Olivier J. de Jong, LL.M., MM., MBA, CFD, CFFA, AA www.olivierdejong.com 1. Understand how to plan, monitor, and

More information

Project Management Chapter 13

Project Management Chapter 13 Lecture 12 Project Management Chapter 13 Introduction n Managing large-scale, complicated projects effectively is a difficult problem and the stakes are high. n The first step in planning and scheduling

More information

Appendix A. Selecting and Using Probability Distributions. In this appendix

Appendix A. Selecting and Using Probability Distributions. In this appendix Appendix A Selecting and Using Probability Distributions In this appendix Understanding probability distributions Selecting a probability distribution Using basic distributions Using continuous distributions

More information

Stochastic model of flow duration curves for selected rivers in Bangladesh

Stochastic model of flow duration curves for selected rivers in Bangladesh Climate Variability and Change Hydrological Impacts (Proceedings of the Fifth FRIEND World Conference held at Havana, Cuba, November 2006), IAHS Publ. 308, 2006. 99 Stochastic model of flow duration curves

More information

Hedging Derivative Securities with VIX Derivatives: A Discrete-Time -Arbitrage Approach

Hedging Derivative Securities with VIX Derivatives: A Discrete-Time -Arbitrage Approach Hedging Derivative Securities with VIX Derivatives: A Discrete-Time -Arbitrage Approach Nelson Kian Leong Yap a, Kian Guan Lim b, Yibao Zhao c,* a Department of Mathematics, National University of Singapore

More information

Optimization Prof. A. Goswami Department of Mathematics Indian Institute of Technology, Kharagpur. Lecture - 18 PERT

Optimization Prof. A. Goswami Department of Mathematics Indian Institute of Technology, Kharagpur. Lecture - 18 PERT Optimization Prof. A. Goswami Department of Mathematics Indian Institute of Technology, Kharagpur Lecture - 18 PERT (Refer Slide Time: 00:56) In the last class we completed the C P M critical path analysis

More information

Performance risk evaluation of long term infrastructure projects (PPP-BOT projects) using probabilistic methods

Performance risk evaluation of long term infrastructure projects (PPP-BOT projects) using probabilistic methods EPPM, Singapore, 20-21 Sep 2011 Performance risk evaluation of long term infrastructure projects (PPP-BOT projects) using probabilistic Meghdad Attarzadeh 1 and David K H Chua 2 Abstract Estimation and

More information

UNIT-II Project Organization and Scheduling Project Element

UNIT-II Project Organization and Scheduling Project Element UNIT-II Project Organization and Scheduling Project Element Five Key Elements are Unique. Projects are unique, one-of-a-kind, never been done before. Start and Stop Date. Projects must have a definite

More information

ADVANCED QUANTITATIVE SCHEDULE RISK ANALYSIS

ADVANCED QUANTITATIVE SCHEDULE RISK ANALYSIS ADVANCED QUANTITATIVE SCHEDULE RISK ANALYSIS DAVID T. HULETT, PH.D. 1 HULETT & ASSOCIATES, LLC 1. INTRODUCTION Quantitative schedule risk analysis is becoming acknowledged by many project-oriented organizations

More information

Stochastic Analysis Of Long Term Multiple-Decrement Contracts

Stochastic Analysis Of Long Term Multiple-Decrement Contracts Stochastic Analysis Of Long Term Multiple-Decrement Contracts Matthew Clark, FSA, MAAA and Chad Runchey, FSA, MAAA Ernst & Young LLP January 2008 Table of Contents Executive Summary...3 Introduction...6

More information

Characterization of the Optimum

Characterization of the Optimum ECO 317 Economics of Uncertainty Fall Term 2009 Notes for lectures 5. Portfolio Allocation with One Riskless, One Risky Asset Characterization of the Optimum Consider a risk-averse, expected-utility-maximizing

More information

SCHEDULE CREATION AND ANALYSIS. 1 Powered by POeT Solvers Limited

SCHEDULE CREATION AND ANALYSIS. 1   Powered by POeT Solvers Limited SCHEDULE CREATION AND ANALYSIS 1 www.pmtutor.org Powered by POeT Solvers Limited While building the project schedule, we need to consider all risk factors, assumptions and constraints imposed on the project

More information

STOCHASTIC COST ESTIMATION AND RISK ANALYSIS IN MANAGING SOFTWARE PROJECTS

STOCHASTIC COST ESTIMATION AND RISK ANALYSIS IN MANAGING SOFTWARE PROJECTS Full citation: Connor, A.M., & MacDonell, S.G. (25) Stochastic cost estimation and risk analysis in managing software projects, in Proceedings of the ISCA 14th International Conference on Intelligent and

More information

SIMULATION CHAPTER 15. Basic Concepts

SIMULATION CHAPTER 15. Basic Concepts CHAPTER 15 SIMULATION Basic Concepts Monte Carlo Simulation The Monte Carlo method employs random numbers and is used to solve problems that depend upon probability, where physical experimentation is impracticable

More information

Cost Overrun Assessment Model in Fuzzy Environment

Cost Overrun Assessment Model in Fuzzy Environment American Journal of Engineering Research (AJER) e-issn : 2320-0847 p-issn : 2320-0936 Volume-03, Issue-07, pp-44-53 www.ajer.org Research Paper Open Access Cost Overrun Assessment Model in Fuzzy Environment

More information

Cash and liquidity management

Cash and liquidity management Cash and liquidity management 2013-03-15 Current Assets Management E-mail: erasmus.michalski@gmail.com www: HTTP://MICHALSKIG.UE.WROC.PL/ Mobile: 0503452860 5 meetings + 1 exam (test) Next meeting:. T.

More information

Time allowed : 3 hours Maximum marks : 100. Total number of questions : 8 Total number of printed pages : 7 PART A

Time allowed : 3 hours Maximum marks : 100. Total number of questions : 8 Total number of printed pages : 7 PART A : 1 : Roll No... Time allowed : 3 hours Maximum marks : 100 Total number of questions : 8 Total number of printed pages : 7 PART A (Answer Question No.1 which is compulsory and any two of the rest from

More information

P2 Performance Management May 2013 examination

P2 Performance Management May 2013 examination Management Level Paper P2 Performance Management May 2013 examination Examiner s Answers Note: Some of the answers that follow are fuller and more comprehensive than would be expected from a well-prepared

More information

UPDATED IAA EDUCATION SYLLABUS

UPDATED IAA EDUCATION SYLLABUS II. UPDATED IAA EDUCATION SYLLABUS A. Supporting Learning Areas 1. STATISTICS Aim: To enable students to apply core statistical techniques to actuarial applications in insurance, pensions and emerging

More information

MONTE CARLO SIMULATION AND PARETO TECHNIQUES FOR CALCULATION OF MULTI- PROJECT OUTTURN-VARIANCE

MONTE CARLO SIMULATION AND PARETO TECHNIQUES FOR CALCULATION OF MULTI- PROJECT OUTTURN-VARIANCE MONTE CARLO SIMULATION AND PARETO TECHNIQUES FOR CALCULATION OF MULTI- PROJECT OUTTURN-VARIANCE Keith Futcher 1 and Anthony Thorpe 2 1 Colliers Jardine (Asia Pacific) Ltd., Hong Kong 2 Department of Civil

More information

The Effects of Responsible Investment: Financial Returns, Risk, Reduction and Impact

The Effects of Responsible Investment: Financial Returns, Risk, Reduction and Impact The Effects of Responsible Investment: Financial Returns, Risk Reduction and Impact Jonathan Harris ET Index Research Quarter 1 017 This report focuses on three key questions for responsible investors:

More information

Modelling component reliability using warranty data

Modelling component reliability using warranty data ANZIAM J. 53 (EMAC2011) pp.c437 C450, 2012 C437 Modelling component reliability using warranty data Raymond Summit 1 (Received 10 January 2012; revised 10 July 2012) Abstract Accelerated testing is often

More information

machine design, Vol.7(2015) No.4, ISSN pp

machine design, Vol.7(2015) No.4, ISSN pp machine design, Vol.7(205) No.4, ISSN 82-259 pp. 9-24 Research paper ANALYSIS AND RISK ASSESSMENT OF IMPLEMENTATION OF THE AUTOMATED CAR PARKING SYSTEM PROJECT Radoslav TOMOVIĆ, * - Rade GRUJIČIĆ University

More information

Catastrophe Reinsurance Pricing

Catastrophe Reinsurance Pricing Catastrophe Reinsurance Pricing Science, Art or Both? By Joseph Qiu, Ming Li, Qin Wang and Bo Wang Insurers using catastrophe reinsurance, a critical financial management tool with complex pricing, can

More information

Allocate and Level Project Resources

Allocate and Level Project Resources Allocate and Level Project Resources Resource Allocation: Defined Resource Allocation is the scheduling of activities and the resources required by those activities while taking into consideration both

More information

A MATHEMATICAL PROGRAMMING APPROACH TO ANALYZE THE ACTIVITY-BASED COSTING PRODUCT-MIX DECISION WITH CAPACITY EXPANSIONS

A MATHEMATICAL PROGRAMMING APPROACH TO ANALYZE THE ACTIVITY-BASED COSTING PRODUCT-MIX DECISION WITH CAPACITY EXPANSIONS A MATHEMATICAL PROGRAMMING APPROACH TO ANALYZE THE ACTIVITY-BASED COSTING PRODUCT-MIX DECISION WITH CAPACITY EXPANSIONS Wen-Hsien Tsai and Thomas W. Lin ABSTRACT In recent years, Activity-Based Costing

More information

CHAPTER 6 CRASHING STOCHASTIC PERT NETWORKS WITH RESOURCE CONSTRAINED PROJECT SCHEDULING PROBLEM

CHAPTER 6 CRASHING STOCHASTIC PERT NETWORKS WITH RESOURCE CONSTRAINED PROJECT SCHEDULING PROBLEM CHAPTER 6 CRASHING STOCHASTIC PERT NETWORKS WITH RESOURCE CONSTRAINED PROJECT SCHEDULING PROBLEM 6.1 Introduction Project Management is the process of planning, controlling and monitoring the activities

More information

[D7] PROBABILITY DISTRIBUTION OF OUTSTANDING LIABILITY FROM INDIVIDUAL PAYMENTS DATA Contributed by T S Wright

[D7] PROBABILITY DISTRIBUTION OF OUTSTANDING LIABILITY FROM INDIVIDUAL PAYMENTS DATA Contributed by T S Wright Faculty and Institute of Actuaries Claims Reserving Manual v.2 (09/1997) Section D7 [D7] PROBABILITY DISTRIBUTION OF OUTSTANDING LIABILITY FROM INDIVIDUAL PAYMENTS DATA Contributed by T S Wright 1. Introduction

More information

Frequency Distribution Models 1- Probability Density Function (PDF)

Frequency Distribution Models 1- Probability Density Function (PDF) Models 1- Probability Density Function (PDF) What is a PDF model? A mathematical equation that describes the frequency curve or probability distribution of a data set. Why modeling? It represents and summarizes

More information

Energy Price Processes

Energy Price Processes Energy Processes Used for Derivatives Pricing & Risk Management In this first of three articles, we will describe the most commonly used process, Geometric Brownian Motion, and in the second and third

More information

Probabilistic Completion Time in Project Scheduling Min Khee Chin 1, Sie Long Kek 2, Sy Yi Sim 3, Ta Wee Seow 4

Probabilistic Completion Time in Project Scheduling Min Khee Chin 1, Sie Long Kek 2, Sy Yi Sim 3, Ta Wee Seow 4 Probabilistic Completion Time in Project Scheduling Min Khee Chin 1, Sie Long Kek 2, Sy Yi Sim 3, Ta Wee Seow 4 1 Department of Mathematics and Statistics, Universiti Tun Hussein Onn Malaysia 2 Center

More information

Mortality Rates Estimation Using Whittaker-Henderson Graduation Technique

Mortality Rates Estimation Using Whittaker-Henderson Graduation Technique MATIMYÁS MATEMATIKA Journal of the Mathematical Society of the Philippines ISSN 0115-6926 Vol. 39 Special Issue (2016) pp. 7-16 Mortality Rates Estimation Using Whittaker-Henderson Graduation Technique

More information

PERFORMANCE MEASUREMENT (1) FINANCIAL PERFORMANCE:

PERFORMANCE MEASUREMENT (1) FINANCIAL PERFORMANCE: PERFORMANCE MEASUREMENT (1) FINANCIAL PERFORMANCE: GROWTH: Revenue / Profits / EBITDA / Market Share PROFITABILITY: Absolute profit / ROCE / Profit margin GEARING: Gearing ratio LIQUIDITY: Current ratio

More information

Answers To Chapter 6. Review Questions

Answers To Chapter 6. Review Questions Answers To Chapter 6 Review Questions 1 Answer d Individuals can also affect their hours through working more than one job, vacations, and leaves of absence 2 Answer d Typically when one observes indifference

More information

Subject CS2A Risk Modelling and Survival Analysis Core Principles

Subject CS2A Risk Modelling and Survival Analysis Core Principles ` Subject CS2A Risk Modelling and Survival Analysis Core Principles Syllabus for the 2019 exams 1 June 2018 Copyright in this Core Reading is the property of the Institute and Faculty of Actuaries who

More information

Chapter 1. The Role of Financial Management

Chapter 1. The Role of Financial Management Chapter 1 The Role of Financial Management What is Financial Management? Concerns the acquisition, financing, and management of assets with some overall goal in mind. Investment Decisions Most important

More information

MBEJ 1023 Dr. Mehdi Moeinaddini Dept. of Urban & Regional Planning Faculty of Built Environment

MBEJ 1023 Dr. Mehdi Moeinaddini Dept. of Urban & Regional Planning Faculty of Built Environment MBEJ 1023 Planning Analytical Methods Dr. Mehdi Moeinaddini Dept. of Urban & Regional Planning Faculty of Built Environment Contents What is statistics? Population and Sample Descriptive Statistics Inferential

More information

DOCUMENT OF THE EUROPEAN BANK FOR RECONSTRUCTION AND DEVELOPMENT STRATEGY FOR CROATIA: REPORT ON THE INVITATION TO THE PUBLIC TO COMMENT

DOCUMENT OF THE EUROPEAN BANK FOR RECONSTRUCTION AND DEVELOPMENT STRATEGY FOR CROATIA: REPORT ON THE INVITATION TO THE PUBLIC TO COMMENT DOCUMENT OF THE EUROPEAN BANK FOR RECONSTRUCTION AND DEVELOPMENT STRATEGY FOR CROATIA: 2010-2013 REPORT ON THE INVITATION TO THE PUBLIC TO COMMENT TABLE OF CONTENTS 1. INTRODUCTION...3 2. COMMENTS RECEIVED

More information

The Duration Derby: A Comparison of Duration Based Strategies in Asset Liability Management

The Duration Derby: A Comparison of Duration Based Strategies in Asset Liability Management The Duration Derby: A Comparison of Duration Based Strategies in Asset Liability Management H. Zheng Department of Mathematics, Imperial College London SW7 2BZ, UK h.zheng@ic.ac.uk L. C. Thomas School

More information

Chapter 4. The Normal Distribution

Chapter 4. The Normal Distribution Chapter 4 The Normal Distribution 1 Chapter 4 Overview Introduction 4-1 Normal Distributions 4-2 Applications of the Normal Distribution 4-3 The Central Limit Theorem 4-4 The Normal Approximation to the

More information

1 Exercise One. 1.1 Calculate the mean ROI. Note that the data is not grouped! Below you find the raw data in tabular form:

1 Exercise One. 1.1 Calculate the mean ROI. Note that the data is not grouped! Below you find the raw data in tabular form: 1 Exercise One Note that the data is not grouped! 1.1 Calculate the mean ROI Below you find the raw data in tabular form: Obs Data 1 18.5 2 18.6 3 17.4 4 12.2 5 19.7 6 5.6 7 7.7 8 9.8 9 19.9 10 9.9 11

More information

Realization on Construction management of residential apartments

Realization on Construction management of residential apartments IOSR Journal of Mechanical and Civil Engineering (IOSR-JMCE) e-issn: 78-684,p-ISSN: 0-4X, Volume, Issue, Ver. II (May- Jun. 06), PP 49-56 www.iosrjournals.org Realization on Construction management of

More information

P1 Performance Evaluation

P1 Performance Evaluation Management Accounting Pillar Managerial Level Paper P1 Management Accounting Performance Evaluation 24 November 2009 Tuesday Morning Session Instructions to candidates You are allowed three hours to answer

More information

6/7/2018. Overview PERT / CPM PERT/CPM. Project Scheduling PERT/CPM PERT/CPM

6/7/2018. Overview PERT / CPM PERT/CPM. Project Scheduling PERT/CPM PERT/CPM /7/018 PERT / CPM BSAD 0 Dave Novak Summer 018 Overview Introduce PERT/CPM Discuss what a critical path is Discuss critical path algorithm Example Source: Anderson et al., 01 Quantitative Methods for Business

More information

Project Time-Cost Trade-Off

Project Time-Cost Trade-Off Project Time-Cost Trade-Off 7.1 Introduction In the previous chapters, duration of activities discussed as either fixed or random numbers with known characteristics. However, activity durations can often

More information

DO NOT OPEN THIS QUESTION PAPER UNTIL YOU ARE TOLD TO DO SO. Performance Pillar. P1 Performance Operations. Wednesday 27 August 2014

DO NOT OPEN THIS QUESTION PAPER UNTIL YOU ARE TOLD TO DO SO. Performance Pillar. P1 Performance Operations. Wednesday 27 August 2014 DO NOT OPEN THIS QUESTION PAPER UNTIL YOU ARE TOLD TO DO SO. Performance Pillar P1 Performance Operations Instructions to candidates Wednesday 27 August 2014 You are allowed three hours to answer this

More information

REPUBLIC OF CROATIA CROATIAN COMPETITION AGENCY ANNUAL REPORT. on State Aid for 2007

REPUBLIC OF CROATIA CROATIAN COMPETITION AGENCY ANNUAL REPORT. on State Aid for 2007 REPUBLIC OF CROATIA CROATIAN COMPETITION AGENCY ANNUAL REPORT on State Aid for 2007 (English summary) November 2008 CONTENTS 1. INTRODUCTION 3 2. STATE AID IN 2007 5 2.1. Categories of state aid 9 2.2.

More information

RISK MITIGATION IN FAST TRACKING PROJECTS

RISK MITIGATION IN FAST TRACKING PROJECTS Voorbeeld paper CCE certificering RISK MITIGATION IN FAST TRACKING PROJECTS Author ID # 4396 June 2002 G:\DACE\certificering\AACEI\presentation 2003 page 1 of 17 Table of Contents Abstract...3 Introduction...4

More information

Empirical Issues in Crop Reinsurance Decisions. Prepared as a Selected Paper for the AAEA Annual Meetings

Empirical Issues in Crop Reinsurance Decisions. Prepared as a Selected Paper for the AAEA Annual Meetings Empirical Issues in Crop Reinsurance Decisions Prepared as a Selected Paper for the AAEA Annual Meetings by Govindaray Nayak Agricorp Ltd. Guelph, Ontario Canada and Calum Turvey Department of Agricultural

More information

GN47: Stochastic Modelling of Economic Risks in Life Insurance

GN47: Stochastic Modelling of Economic Risks in Life Insurance GN47: Stochastic Modelling of Economic Risks in Life Insurance Classification Recommended Practice MEMBERS ARE REMINDED THAT THEY MUST ALWAYS COMPLY WITH THE PROFESSIONAL CONDUCT STANDARDS (PCS) AND THAT

More information

Application of Earned Value Management (EVM) for Effective Project Control

Application of Earned Value Management (EVM) for Effective Project Control Application of Earned Value Management (EVM) for Effective Project Control Course No: B02-012 Credit: 2 PDH Boris Shvartsberg, Ph.D., P.E., P.M.P. Continuing Education and Development, Inc. 9 Greyridge

More information

CHAPTER 10 PROJECT CONTROL

CHAPTER 10 PROJECT CONTROL CHAPTER 0 PROJECT CONTROL The limited objective of project control deserves emphasis. Project control procedures are primarily intended to identify deviations from the project plan rather than to suggest

More information

INTRODUCTION TO FINANCIAL MANAGEMENT

INTRODUCTION TO FINANCIAL MANAGEMENT INTRODUCTION TO FINANCIAL MANAGEMENT Meaning of Financial Management As we know finance is the lifeblood of every business, its management requires special attention. Financial management is that activity

More information

Econometrics and Economic Data

Econometrics and Economic Data Econometrics and Economic Data Chapter 1 What is a regression? By using the regression model, we can evaluate the magnitude of change in one variable due to a certain change in another variable. For example,

More information

TAIL RISK HEDGING FOR PENSION FUNDS

TAIL RISK HEDGING FOR PENSION FUNDS OCTOBER 2013 TAIL RISK HEDGING FOR PENSION FUNDS Dan Mikulskis Redington Karim Traore Societe Generale THIS DOCUMENT IS FOR THE EXCLUSIVE USE OF INVESTORS ACTING ON THEIR OWN ACCOUNT AND CATEGORISED EITHER

More information

,,, be any other strategy for selling items. It yields no more revenue than, based on the

,,, be any other strategy for selling items. It yields no more revenue than, based on the ONLINE SUPPLEMENT Appendix 1: Proofs for all Propositions and Corollaries Proof of Proposition 1 Proposition 1: For all 1,2,,, if, is a non-increasing function with respect to (henceforth referred to as

More information

STARRY GOLD ACADEMY , , Page 1

STARRY GOLD ACADEMY , ,  Page 1 ICAN KNOWLEDGE LEVEL QUANTITATIVE TECHNIQUE IN BUSINESS MOCK EXAMINATION QUESTIONS FOR NOVEMBER 2016 DIET. INSTRUCTION: ATTEMPT ALL QUESTIONS IN THIS SECTION OBJECTIVE QUESTIONS Given the following sample

More information

Engineering Economics and Financial Accounting

Engineering Economics and Financial Accounting Engineering Economics and Financial Accounting Unit 4: Costing Major Topics are: Job Costing Operating Costing Process Costing Standard Costing (Variance Analysis) Gross Domestic Product (GDP) Job Costing

More information

RISK MANAGEMENT IN CONSTRUCTION PROJECTS

RISK MANAGEMENT IN CONSTRUCTION PROJECTS International Journal of Advances in Applied Science and Engineering (IJAEAS) ISSN (P): 2348-1811; ISSN (E): 2348-182X Vol-1, Iss.-3, JUNE 2014, 162-166 IIST RISK MANAGEMENT IN CONSTRUCTION PROJECTS SUDARSHAN

More information

Working Paper #1. Optimizing New York s Reforming the Energy Vision

Working Paper #1. Optimizing New York s Reforming the Energy Vision Center for Energy, Economic & Environmental Policy Rutgers, The State University of New Jersey 33 Livingston Avenue, First Floor New Brunswick, NJ 08901 http://ceeep.rutgers.edu/ 732-789-2750 Fax: 732-932-0394

More information

ELEMENTS OF MONTE CARLO SIMULATION

ELEMENTS OF MONTE CARLO SIMULATION APPENDIX B ELEMENTS OF MONTE CARLO SIMULATION B. GENERAL CONCEPT The basic idea of Monte Carlo simulation is to create a series of experimental samples using a random number sequence. According to the

More information

The valuation of insurance liabilities under Solvency 2

The valuation of insurance liabilities under Solvency 2 The valuation of insurance liabilities under Solvency 2 Introduction Insurance liabilities being the core part of an insurer s balance sheet, the reliability of their valuation is the very basis to assess

More information

Passing the repeal of the carbon tax back to wholesale electricity prices

Passing the repeal of the carbon tax back to wholesale electricity prices University of Wollongong Research Online National Institute for Applied Statistics Research Australia Working Paper Series Faculty of Engineering and Information Sciences 2014 Passing the repeal of the

More information

STOCHASTIC COST ESTIMATION AND RISK ANALYSIS IN MANAGING SOFTWARE PROJECTS

STOCHASTIC COST ESTIMATION AND RISK ANALYSIS IN MANAGING SOFTWARE PROJECTS STOCHASTIC COST ESTIMATION AND RISK ANALYSIS IN MANAGING SOFTWARE PROJECTS Dr A.M. Connor Software Engineering Research Lab Auckland University of Technology Auckland, New Zealand andrew.connor@aut.ac.nz

More information

Methodological and organizational problems of professional risk management in construction

Methodological and organizational problems of professional risk management in construction Methodological and organizational problems of professional risk management in construction Evgeny Sugak 1* 1 Moscow State University of Civil Engineering, Yaroslavskoe shosse, 26, Moscow, 129337, Russia

More information

Week 1 Variables: Exploration, Familiarisation and Description. Descriptive Statistics.

Week 1 Variables: Exploration, Familiarisation and Description. Descriptive Statistics. Week 1 Variables: Exploration, Familiarisation and Description. Descriptive Statistics. Convergent validity: the degree to which results/evidence from different tests/sources, converge on the same conclusion.

More information

Probabilistic Benefit Cost Ratio A Case Study

Probabilistic Benefit Cost Ratio A Case Study Australasian Transport Research Forum 2015 Proceedings 30 September - 2 October 2015, Sydney, Australia Publication website: http://www.atrf.info/papers/index.aspx Probabilistic Benefit Cost Ratio A Case

More information

Factsheet on Undeclared Work CROATIA

Factsheet on Undeclared Work CROATIA Factsheet on Undeclared Work CROATIA 1.1 Nature and Estimated Scale of Undeclared Work 1.1.1 Definition of undeclared work Definition of undeclared work in Croatia follows the definition set at the EU

More information

Lars Heikensten: Monetary policy and potential growth

Lars Heikensten: Monetary policy and potential growth Lars Heikensten: Monetary policy and potential growth Speech by Mr Lars Heikensten, Governor of the Sveriges Riksbank, to the Swedish Economics Association, Stockholm, 8 March. * * * Let me begin by thanking

More information

Chapter 1 Microeconomics of Consumer Theory

Chapter 1 Microeconomics of Consumer Theory Chapter Microeconomics of Consumer Theory The two broad categories of decision-makers in an economy are consumers and firms. Each individual in each of these groups makes its decisions in order to achieve

More information

8: Economic Criteria

8: Economic Criteria 8.1 Economic Criteria Capital Budgeting 1 8: Economic Criteria The preceding chapters show how to discount and compound a variety of different types of cash flows. This chapter explains the use of those

More information

Technical analysis of selected chart patterns and the impact of macroeconomic indicators in the decision-making process on the foreign exchange market

Technical analysis of selected chart patterns and the impact of macroeconomic indicators in the decision-making process on the foreign exchange market Summary of the doctoral dissertation written under the guidance of prof. dr. hab. Włodzimierza Szkutnika Technical analysis of selected chart patterns and the impact of macroeconomic indicators in the

More information

The duration derby : a comparison of duration based strategies in asset liability management

The duration derby : a comparison of duration based strategies in asset liability management Edith Cowan University Research Online ECU Publications Pre. 2011 2001 The duration derby : a comparison of duration based strategies in asset liability management Harry Zheng David E. Allen Lyn C. Thomas

More information

Evaluating the Degree Influence of Different Factors on the Exchange Rates in Ukraine

Evaluating the Degree Influence of Different Factors on the Exchange Rates in Ukraine Evaluating the Degree Influence of Different Factors on the Exchange Rates in Ukraine SHCHERBAK A.V. Department of Applied Mathematics National Technical University of Ukraine Kiev Polytechnic Institute

More information

Elaboration of strategic plans for territory development based on the implementation of investment and construction projects

Elaboration of strategic plans for territory development based on the implementation of investment and construction projects Elaboration of strategic plans for territory development based on the implementation of investment and construction projects Elena Akimova 1,* 1 Moscow State University of Civil Engineering, Yaroslavskoe

More information

Using Monte Carlo Analysis in Ecological Risk Assessments

Using Monte Carlo Analysis in Ecological Risk Assessments 10/27/00 Page 1 of 15 Using Monte Carlo Analysis in Ecological Risk Assessments Argonne National Laboratory Abstract Monte Carlo analysis is a statistical technique for risk assessors to evaluate the uncertainty

More information

THE APPLICATION OF ESSENTIAL ECONOMIC PRINCIPLES IN ARMED FORCES

THE APPLICATION OF ESSENTIAL ECONOMIC PRINCIPLES IN ARMED FORCES THE APPLICATION OF ESSENTIAL ECONOMIC PRINCIPLES IN ARMED FORCES ENG. VENDULA HYNKOVÁ Abstract The paper defines the role of economics as a discipline in the area of defence. There are specified ten major

More information

5 th Annual CARISMA Conference MWB, Canada Square, Canary Wharf 2 nd February ialm. M A H Dempster & E A Medova. & Cambridge Systems Associates

5 th Annual CARISMA Conference MWB, Canada Square, Canary Wharf 2 nd February ialm. M A H Dempster & E A Medova. & Cambridge Systems Associates 5 th Annual CARISMA Conference MWB, Canada Square, Canary Wharf 2 nd February 2010 Individual Asset Liability Management ialm M A H Dempster & E A Medova Centre for Financial i Research, University it

More information

SAS Data Mining & Neural Network as powerful and efficient tools for customer oriented pricing and target marketing in deregulated insurance markets

SAS Data Mining & Neural Network as powerful and efficient tools for customer oriented pricing and target marketing in deregulated insurance markets SAS Data Mining & Neural Network as powerful and efficient tools for customer oriented pricing and target marketing in deregulated insurance markets Stefan Lecher, Actuary Personal Lines, Zurich Switzerland

More information

Accelerated Option Pricing Multiple Scenarios

Accelerated Option Pricing Multiple Scenarios Accelerated Option Pricing in Multiple Scenarios 04.07.2008 Stefan Dirnstorfer (stefan@thetaris.com) Andreas J. Grau (grau@thetaris.com) 1 Abstract This paper covers a massive acceleration of Monte-Carlo

More information

PERMUTATION AND COMBINATIONS APPROACH TO PROGRAM EVALUATION AND REVIEW TECHNIQUE

PERMUTATION AND COMBINATIONS APPROACH TO PROGRAM EVALUATION AND REVIEW TECHNIQUE VOL. 2, NO. 6, DECEMBER 7 ISSN 1819-6608 6-7 Asian Research Publishing Network (ARPN). All rights reserved. PERMUTATION AND COMBINATIONS APPROACH TO PROGRAM EVALUATION AND REVIEW TECHNIQUE A. Prabhu Kumar

More information

Comparative Study Of Pre-Planning And Actual Planning Process In Construction Industries

Comparative Study Of Pre-Planning And Actual Planning Process In Construction Industries International journal of Emerging Trends in Science and Technology Comparative Study Of Pre-Planning And Actual Planning Process In Construction Industries Authors B.Annalakshmi*, Dr.C.Antony Jeyasehar**,Dr.P.Valli***

More information

Regional IAM: analysis of riskadjusted costs and benefits of climate policies

Regional IAM: analysis of riskadjusted costs and benefits of climate policies Regional IAM: analysis of riskadjusted costs and benefits of climate policies Alexander Golub, The American University (Washington DC) Ramon Arigoni Ortiz, Anil Markandya (BC 3, Spain), Background Near-term

More information

European Journal of Economic Studies, 2016, Vol.(17), Is. 3

European Journal of Economic Studies, 2016, Vol.(17), Is. 3 Copyright 2016 by Academic Publishing House Researcher Published in the Russian Federation European Journal of Economic Studies Has been issued since 2012. ISSN: 2304-9669 E-ISSN: 2305-6282 Vol. 17, Is.

More information

Interest Rate Risk Management Using Economic Value Sensitivity Model

Interest Rate Risk Management Using Economic Value Sensitivity Model Interest Rate Risk Management Using Economic Value Sensitivity Model Georgi Petrov Georgiev 1 1 University of Agribusiness and Rural Development, Plovdiv, Bulgaria Abstract: The article discusses the practical

More information

Measures of Central tendency

Measures of Central tendency Elementary Statistics Measures of Central tendency By Prof. Mirza Manzoor Ahmad In statistics, a central tendency (or, more commonly, a measure of central tendency) is a central or typical value for a

More information

Measuring Sustainability in the UN System of Environmental-Economic Accounting

Measuring Sustainability in the UN System of Environmental-Economic Accounting Measuring Sustainability in the UN System of Environmental-Economic Accounting Kirk Hamilton April 2014 Grantham Research Institute on Climate Change and the Environment Working Paper No. 154 The Grantham

More information

Monetary Policy INSTRUMENTS AND INTERNATIONAL RESERVES MANAGEMENT MONETARY POLICY INSTRUMENTS AND INTERNATIONAL RESERVES MANAGEMENT

Monetary Policy INSTRUMENTS AND INTERNATIONAL RESERVES MANAGEMENT MONETARY POLICY INSTRUMENTS AND INTERNATIONAL RESERVES MANAGEMENT Monetary Policy INSTRUMENTS AND INTERNATIONAL RESERVES MANAGEMENT 2 MONETARY POLICY INSTRUMENTS AND INTERNATIONAL RESERVES MANAGEMENT MONETARY POLICY INSTRUMENTS AND INTERNATIONAL RESERVES MANAGEMENT

More information

Risk Analysis of ODOT s HMA Percent Within Limits (PWL) Specification

Risk Analysis of ODOT s HMA Percent Within Limits (PWL) Specification Risk Analysis of ODOT s HMA Percent Within Limits (PWL) Specification Final Report ODOT Item Number 2182 by William F. McTernan, Ph.D., P.E. Professor Oklahoma State University Stillwater, Oklahoma and

More information

Risk and Return and Portfolio Theory

Risk and Return and Portfolio Theory Risk and Return and Portfolio Theory Intro: Last week we learned how to calculate cash flows, now we want to learn how to discount these cash flows. This will take the next several weeks. We know discount

More information

Contents. An Overview of Statistical Applications CHAPTER 1. Contents (ix) Preface... (vii)

Contents. An Overview of Statistical Applications CHAPTER 1. Contents (ix) Preface... (vii) Contents (ix) Contents Preface... (vii) CHAPTER 1 An Overview of Statistical Applications 1.1 Introduction... 1 1. Probability Functions and Statistics... 1..1 Discrete versus Continuous Functions... 1..

More information

Network Analysis Basic Components. The Other View. Some Applications. Continued. Goal of Network Analysis. RK Jana

Network Analysis Basic Components. The Other View. Some Applications. Continued. Goal of Network Analysis. RK Jana Network nalysis RK Jana asic omponents ollections of interconnected linear forms: Lines Intersections Regions (created by the partitioning of space by the lines) Planar (streets, all on same level, vertices

More information

Part V - Chance Variability

Part V - Chance Variability Part V - Chance Variability Dr. Joseph Brennan Math 148, BU Dr. Joseph Brennan (Math 148, BU) Part V - Chance Variability 1 / 78 Law of Averages In Chapter 13 we discussed the Kerrich coin-tossing experiment.

More information

WHY ARE PROJECTS ALWAYS LATE?

WHY ARE PROJECTS ALWAYS LATE? WHY ARE PROJECTS ALWAYS LATE? (what can the Project Manager DO about that?) Craig Henderson, MBA, PMP ARVEST Bank Operations Introduction PM Basics FIO GID KISS (Figure it out) (Get it done) (Keep it simple,

More information

Equity Valuation. Walid Saleh, Samer Yamin, and Ahmed Mashal

Equity Valuation. Walid Saleh, Samer Yamin, and Ahmed Mashal Global conomy & Finance Journal Vol.2 No.1 March 2009 Pp. 135-153 quity Valuation Walid Saleh, Samer Yamin, and Ahmed Mashal This paper conducted an empirical examination of two theoretically equivalent

More information

Measuring and managing market risk June 2003

Measuring and managing market risk June 2003 Page 1 of 8 Measuring and managing market risk June 2003 Investment management is largely concerned with risk management. In the management of the Petroleum Fund, considerable emphasis is therefore placed

More information

3.2 Aids to decision making

3.2 Aids to decision making 3.2 Aids to decision making Decision trees One particular decision-making technique is to use a decision tree. A decision tree is a way of representing graphically the decision processes and their various

More information