# (AA12) QUANTITATIVE METHODS FOR BUSINESS

Save this PDF as:

Size: px
Start display at page:

## Transcription

2 .2 Match each of the financial mathematical terms with correct definition: Terms Definitions A Annuities X Periodic payments made in order to satisfy a future obligation. B Sinking Fund Y Current value of a future sum of money. C Present Value of money Z A sequence of fixed equal payments made over regular time intervals. () A Z : B X : C Y (2) A Z : B Y : C X (3) A Y : B X : C Z () A X : B Z : C Y (03 marks).3 A bunch of keys has identical (similar looking) keys. Each key is fixed only for one door. A person tries to make at most two attempts to open the lock of one door. He makes the second attempt only if he doesn t succeed in his first attempt. For the second attempt a key is selected at random from the remaining four keys. The correct tree diagram to represent the event is: () (2) N N N N 3 - pen N - Not pen N (3) 3 () N N N 3 N 3 N (03 marks). Marks scored at an exam by 6 students are represented in the histogram given below: No. of Students Marks If this data is represented in a pie chart, the share that represents the marks interval from 30-0 in degrees (to the nearest degree) is: () 3 0 (2) 23 0 (3) 9 0 () 78 0 (03 marks) 2 P a g e

3 . A project s cash inflows for the next years and the terminal value at the end of year are as follows: Year 2 3 Cash Inflows (Rs. million) Terminal Value (Rs. million) ,600 Assuming a discounting rate of 8% per annum, Present Value (PV) of the project is: () Rs.,600 million. (2) Rs.,82 million. (3) Rs.2,9 million. () Rs.3,90 million. (03 marks).6 ABA Insurance PLC is a globally operated motor bike insurer. When all factors are taken into account, the insurance company estimates that the probability of making an average claim of Rs.,000/- is 0., and that the probability of the motor bike and contents being totally destroyed is If that extreme event happens (motor bike being condemned), the company will have to pay Rs.0,000/-. The company charges Rs.,300/- for the insurance policy. Assume only these two events will occur. Expected profit of issuing a policy is: () Rs.3,700/-. (2) Rs.7/-. (3) Rs.00/-. () Rs.0/-. (03 marks).7 Two(02) correct methods of random sampling are: () Systematic and Cluster. (2) Judgment and Systematic. (3) Random and Quota. () Convenience and Judgment. (03 marks).8 List three(03) factors that can influence the choice of an investment. (03 marks) Use the graph below to answer question No..9 to.3. State whether each of the following statements is TRUE or FALSE. Write the selected answer (True/False) in your Answer Booklet with the number assigned to the question. The total revenue and cost functions of a medium scale furniture manufacturer, ABC Ltd. for a month is given below: The variable cost is Rs./- per unit. Cost / Revenue (Rs.'000) Cost Revenue No. of Units P a g e

4 .9 Cost formula of this product is P where P is the No. of units produced. (02 marks).0 Break-even output falls between,000 units and 6,000 units. (02 marks). When the company sells 0,000 units, profit will be Rs.0,000/-. (02 marks).2 Total revenue at the break-even point is equal to fixed cost. (02 marks).3 When the fixed cost increases from the given level and other factors remain constant, the break-even output will decrease. (02 marks) The below table shows details (price and quantity) of three items for base year and current year. Use details provided in the below table to, answer question number. to.6. Write short answers for question Nos.. to.6 in your Answer Booklet with the number assigned to the question. Base Year Current Year Item Price (p 0 ) Quantity (q 0 ) Price (p n ) Quantity (q n ) Y q n p o Z A B 2 X C The Base-weighted Quantity Index (Laspereyre s Quantity Index) for the current year is given as 96.2%. Based on the above information,. What is the formula which gives the values of column Z? (02 marks). What is the value of X? (02 marks).6 What is the Base-weighted Price Index (Laspereyre s Price Index) for the current year? (02 marks) End of Section A SECTIN B Four (0) compulsory questions (Total 32 marks) Question 02 (a) The monthly profit of a company shows a geometric progression. The sum of profit of first two months is Rs.36 million. The multiplication of the first and third month profit is 9 times the profit of the second month. Calculate the total profit for a period of 8 months. (03 marks) P a g e

5 (b) A small scale garment manufacturer forecasts his profits against the number of employees and the data is given below: No. of employees Profit (Rs. million) Draw a histogram for the above data and identify the mode value using the histogram. (0 marks) (Total 08 marks) Question 03 (a) The production cost function(c) of a manufacturing firm is given by, C = - + 6p + 00 ; where p is the number of units produced. Calculate the number of units at which the production cost becomes lowest. (03 marks) (b) The average number of motor cars entered in a highway and the number of accidents are summarized and tabulated below: No. of motor cars No. of accidents Compute the mean and the standard deviation of number of accidents in the highway. (0 marks) (Total 08 marks) Question 0 (a) Products manufactured in a factory are packed by 3 production lines P, P 2 and P 3. According to the past statistics, 2% of products packed from P, 3% of the products packed from P 2 and % of the products packed from P 3 are not packed properly. Products are fed to the production line at the ratio of 30% : 33% : 37% respectively. Calculate the probability that a packed product chosen at random is not packed properly. (0 marks) (b) The length of a certain type of steel cables produced by a company is approximated by a normal distribution model with a mean of cm and a standard deviation of 0.02 cm. Rejected steel cables are the steel cables with length less than.96cm. If a steel cable is chosen at random, (i) Calculate the probability that the length of steel cable is between.98 cm and.02 cm. (ii) Identify the percentage of steel cables produced are rejected. (0 marks) (Total 08 marks) P a g e

6 Question 0 Ice cream corn manufacturing machine has a maximum useful life of 6 years. The output per hour (No. of cones) will change with the life of the machine. The following table shows the details to assess the correlation coefficient between the two variables. A, B and C columns provide some of the intermediate values computed to calculate the correlation coefficient. Life of Machine (x) utput per hour (y) A B C , _ 3,600 6 _ 36 3, _ , _,22 x = y = 28 xy = 2,330 Recognize the missing data in columns A, B and C and calculate the correlation coefficient for the above data set. (08 marks) End of Section B SECTIN C Two (02) compulsory questions (Total 28 marks) Question 06 (a) List the four(0) components of variation in time series. (02 marks) (b) The quarterly share prices of a company over the past four years are given below: Year Quarter Share Price (Rs.) P a g e

7 Compute the following: (i) (ii) Moving total values. Centered moving total values. (iii) Quarterly Centered moving average. (iv) Trend values. (2 marks) (Total marks) Question 07 Green Fruits (Pvt) Ltd. is a leading Fruit Juice Manufacturer and is in the business of selling bottled fruit juice through retail stores. The company is considering following two proposals for the development of the business: Proposal : Purchase of a new machine to expand the existing capacity of Fruit Juice Manufacturing The new machine will cost Rs.00 million and the expected life of the machine is years. The expected cash inflows from the investment is as follows: Year 2 3 Cash inflows (Rs. million) Proposal 2: Purchase of a Label printing machine At the moment Green Fruits (Pvt) Ltd. purchases labels from an outside label supplier. The new machine will cost Rs. million and the expected life of the machine is 7 years. At the end of the 7 th year the machine could be sold for Rs.20 million. The expected cash inflows from the investment is as follows: Year Cash inflows (Rs. million) The discounting rate of the company is 8%. (a) (b) Compute the Net Present Value (NPV) of the two machines. State with reasons whether the company should go ahead with the proposal to expand the existing production capacity. (c) State with reasons whether the company should go ahead with the proposal 2. ( marks) End of Section C 7 P a g e

8 ACTIN VERB CHECK LIST Knowledge Process Verb List Verb Definitions Level 0 Comprehension Recall & explain important information Define Draw Identify List Relate State Describe exactly the nature, scope, or meaning. Produce (a picture or diagram). Recognize, establish or select after consideration. Write the connected items one below the other. To establish logical or causal connections. Express something definitely or clearly. Calculate/Compute Make a mathematical computation Discuss Explain Interpret Recognize Record Summarize Examine in detail by argument showing different aspects, for the purpose of arriving at a conclusion. Make a clear description in detail revealing relevant facts. Present in an understandable terms. To show validity or otherwise, using knowledge or contextual experience. Enter relevant entries in detail. Give a brief statement of the main points (in facts or figures). Knowledge Process Verb List Verb Definitions Level 02 Application Use knowledge in a setting other than the one in which it was learned / Solve closed-ended problems Apply Assess Demonstrate Graph Prepare Prioritize Reconcile Solve Put to practical use. Determine the value, nature, ability, or quality. Prove, especially with examples. Represent by means of a graph. Make ready for a particular purpose. Arrange or do in order of importance. Make consistent with another. To find a solution through calculations and/or explanation. Knowledge Process Verb List Verb Definitions Level 03 Analysis Draw relations among ideas and compare and contrast / Solve openended problems. Analyze Compare Contrast Differentiate utline Examine in detail in order to determine the solution or outcome. Examine for the purpose of discovering similarities. Examine in order to show unlikeness or differences. Constitute a difference that distinguishes something. Make a summary of significant features. 8 P a g e

9 FRMULAE SHEETS Mathematical Fundamentals: Quadratic equation: The solutions of a quadratic equation, 0 is given by 2 Arithmetic sequence: The sum of first n terms of an AP: 2 Geometric sequence: The sum of first n terms of a GP: Numerical Descriptive Measures: Mean : For ungrouped data: For grouped data: Standard deviation : For ungrouped data: or Quantitative Finance: Simple interest: Compound Interest: For grouped data: or Coefficient of variation (CV): = Discounting: Present Value = Future Value Repayment of mortgage: Internal Rate of Return: r % % % Comparing Two Quantitative Variables: Pearson s Product Moment Correlation. Correlation coefficient (r): Regression coefficients (a and b): b = a = 9 P a g e

10 FRMULAE SHEETS (Continued) Comparison over time with Economic variables Index Numbers: Price Relative = Quantity Relative = Value Relative = Simple aggregate price index = Simple aggregate quantity index = Average price relative = Average quantity relative = Weighted aggregate indices ) Base-weighted / Laspeyre s: Price index = Quantity index = 2) Current-weighted / Paasche s: Price index = Quantity index = 3) Using standard weights Price index = Quantity index = Time Series: Additive model Y T + S + C + R Multiplicative Model Y T S C R Sets and Probability - Union; AB defines all elements in A plus all elements in B, no element being counted twice. - Intersection; AB defines all elements included in both A and B. P (A) Probability of event A P (A/B) Probability of event A, given B General rules: P (AB) = P (A) + P (B) P (AB) P (A/B) = Expectation and Variance of a discrete random variable: ) Normal Distribution: Weighted average of relatives Price index = Quantity index = 0 P a g e

### (AA32) MANAGEMENT ACCOUNTING AND FINANCE

All Rights Reserved ASSOCIATION OF ACCOUNTING TECHNICIANS OF SRI LANKA AA3 EXAMINATION - JULY 2016 (AA32) MANAGEMENT ACCOUNTING AND FINANCE Instructions to candidates (Please Read Carefully): (1) Time

### (AA11) FINANCIAL ACCOUNTING BASICS

All Rights Reserved ASSOCIATION OF ACCOUNTING TECHNICIANS OF SRI LANKA AA1 EXAMINATION - JULY 2015 (AA11) FINANCIAL ACCOUNTING BASICS Instructions to candidates (Please Read Carefully): (1) Time: 02 hours.

### (AA11) FINANCIAL ACCOUNTING BASICS

All Rights Reserved ASSOCIATION OF ACCOUNTING TECHNICIANS OF SRI LANKA AA1 EXAMINATION - JANUARY 2016 (AA11) FINANCIAL ACCOUNTING BASICS Instructions to candidates (Please Read Carefully): (1) Time allowed:

### 03 The full syllabus. 03 The full syllabus continued. For more information visit www.cimaglobal.com PAPER C03 FUNDAMENTALS OF BUSINESS MATHEMATICS

0 The full syllabus 0 The full syllabus continued PAPER C0 FUNDAMENTALS OF BUSINESS MATHEMATICS Syllabus overview This paper primarily deals with the tools and techniques to understand the mathematics

### ICASL - Business School Programme

ICASL - Business School Programme Quantitative Techniques for Business (Module 3) Financial Mathematics TUTORIAL 2A This chapter deals with problems related to investing money or capital in a business

### Cost VOLUME RELATIONS & BREAK EVEN ANALYSIS

1. Introduction The cost volume profit (CVP) analysis helps management in finding out the relationship of costs and revenues to profit. Cost depends on various factors like Volume of production Product

### Summary. Chapter Five. Cost Volume Relations & Break Even Analysis

Summary Chapter Five Cost Volume Relations & Break Even Analysis 1. Introduction : The main aim of an undertaking is to earn profit. The cost volume profit (CVP) analysis helps management in finding out

### 430 Statistics and Financial Mathematics for Business

Prescription: 430 Statistics and Financial Mathematics for Business Elective prescription Level 4 Credit 20 Version 2 Aim Students will be able to summarise, analyse, interpret and present data, make predictions

### P2 Performance Management

DO NOT OPEN THIS QUESTION PAPER UNTIL YOU ARE TOLD TO DO SO. Performance Pillar P2 Performance Management Instructions to candidates Thursday 28 August 2014 You are allowed three hours to answer this question

### Performance Pillar. P1 Performance Operations. Wednesday 28 August 2013

P1 Performance Operations DO NOT OPEN THIS QUESTION PAPER UNTIL YOU ARE TOLD TO SO Performance Pillar P1 Performance Operations Wednesday 28 August 2013 Instructions to candidates You are allowed three

### P2 Performance Management

Performance Pillar P2 Performance Management 26 May 2010 Wednesday Afternoon Session Instructions to candidates You are allowed three hours to answer this question paper. You are allowed 20 minutes reading

### Complete Business Math for Accountants

Complete Business Math for Accountants Part 1: Evaluating the Cost of Bank Loans, Business Loans, Trade Credit, and Other Financing 1. Compute the cost of credit using different methods. 2. Calculate due

### Institute of Certified Management Accountants of Sri Lanka. Operational Level November 2012 Examination

Copyright Reserved Serial No Operational Level November 2012 Examination Examination Date : 11 th November 2012 Number of Pages : 08 Examination Time: 9.30 a:m. 12.30 p:m. Number of Questions: 07 Instructions

### Paper P1 Performance Operations Post Exam Guide September 2010 Exam

General Comments This was the second sitting of the new P1 syllabus and candidate performance was generally better than that achieved in the May diet. There were however still core areas of the syllabus

### GCSE Statistics Revision notes

GCSE Statistics Revision notes Collecting data Sample This is when data is collected from part of the population. There are different methods for sampling Random sampling, Stratified sampling, Systematic

### ALGEBRA 2/TRIGONOMETRY

ALGEBRA 2/TRIGONOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION ALGEBRA 2/TRIGONOMETRY Friday, January 29, 2016 9:15 a.m. to 12:15 p.m., only Student Name: School Name: The

### Quantitative Methods for Finance

Quantitative Methods for Finance Module 1: The Time Value of Money 1 Learning how to interpret interest rates as required rates of return, discount rates, or opportunity costs. 2 Learning how to explain

### STA-201-TE. 5. Measures of relationship: correlation (5%) Correlation coefficient; Pearson r; correlation and causation; proportion of common variance

Principles of Statistics STA-201-TE This TECEP is an introduction to descriptive and inferential statistics. Topics include: measures of central tendency, variability, correlation, regression, hypothesis

BUE 110 BUSINESS MATHEMATICS SUBMITTED AND APPROVED MARCH 2, 2012 EFFECTIVE: FALL 2012-13 Prefix & Number BUE110 Course Title: Business Mathematics Purpose of this submission: New Change/Updated Retire

### If Alfred s endowment was payable in five years time what sum should be payable to make both of equal value?

FUTURE VALUE OF A SINGLE SUM Question 1 Alfred and George are brothers. They have both been given an endowment of 5,000 by Great Uncle Edward. George will receive his money immediately whilst Alfred must

### Qn: # Mark Score 1 20 2 20 3 20 4 20 5 20 Total 100

DEPARTMENT OF MATHEMATICS University of Toronto at Mississauga MAT 33Y, Test October 20, 2003 Time 6.0pm.8.00 pm Fill in the following information in INK! Last Name:. Given Name:. Student #:. Tutor s Name

### Paper P1 Performance Operations Post Exam Guide September 2011 Exam. General Comments

General Comments Performance on this paper was better than in previous sittings mainly as a result of improved performance in Sections A and B. Candidates scored better on average in the multiple choice

### Paper No 19. FINALTERM EXAMINATION Fall 2009 MTH302- Business Mathematics & Statistics (Session - 2) Ref No: Time: 120 min Marks: 80

Paper No 19 FINALTERM EXAMINATION Fall 2009 MTH302- Business Mathematics & Statistics (Session - 2) Ref No: Time: 120 min Marks: 80 Question No: 1 ( Marks: 1 ) - Please choose one Scatterplots are used

### P2 Performance Management

Pillar P P2 Performance Management Instructions to candidates Specimen Examination Paper You are allowed three hours to answer this question paper. You are allowed 20 minutes reading time before the examination

### CORRELATIONAL ANALYSIS: PEARSON S r Purpose of correlational analysis The purpose of performing a correlational analysis: To discover whether there

CORRELATIONAL ANALYSIS: PEARSON S r Purpose of correlational analysis The purpose of performing a correlational analysis: To discover whether there is a relationship between variables, To find out the

### Management Accounting (F2/FMA) September 2015 (for CBE exams from 23 September 2015) to August 2016

Management Accounting (F2/FMA) September 2015 (for CBE exams from 23 September 2015) to August 2016 This syllabus and study guide are designed to help with teaching and learning and is intended to provide

### The Big 50 Revision Guidelines for S1

The Big 50 Revision Guidelines for S1 If you can understand all of these you ll do very well 1. Know what is meant by a statistical model and the Modelling cycle of continuous refinement 2. Understand

### Cost-Volume-Profit Analysis

Cost-Volume-Profit Analysis Cost-volume-profit (CVP) analysis is used to determine how changes in costs and volume affect a company's operating income and net income. In performing this analysis, there

### Management Accounting (F2/FMA) February 2013 to January 2014

Management Accounting (F2/FMA) February 2013 to January 2014 This syllabus and study guide is designed to help with teaching and learning and is intended to provide detailed information on what could be

### CHAPTER 22 COST-VOLUME-PROFIT ANALYSIS

CHAPTER 22 COST-VOLUME-PROFIT ANALYSIS Related Assignment Materials Student Learning Objectives Conceptual objectives: C1. Describe different types of cost behavior in relation to production and sales

### ACCOUNTING AND FINANCE

Western Australian Certificate of Education Examination, 2015 Question/Answer Booklet ACCOUNTING AND FINANCE Stage 3 Please place your student identification label in this box Student Number: In figures

### 6. Methods 6.8. Methods related to outputs, Introduction

6. Methods 6.8. Methods related to outputs, Introduction In order to present the outcomes of statistical data collections to the users in a manner most users can easily understand, a variety of statistical

### Management Accounting 2 nd Year Examination

Management Accounting 2 nd Year Examination August 2013 Exam Paper, Solutions & Examiner s Report NOTES TO USERS ABOUT THESE SOLUTIONS The solutions in this document are published by Accounting Technicians

### Business Statistics. Successful completion of Introductory and/or Intermediate Algebra courses is recommended before taking Business Statistics.

Business Course Text Bowerman, Bruce L., Richard T. O'Connell, J. B. Orris, and Dawn C. Porter. Essentials of Business, 2nd edition, McGraw-Hill/Irwin, 2008, ISBN: 978-0-07-331988-9. Required Computing

### MANAGEMENT ACCOUNTING 2 MODULE CODE: ACCT08004

Business School (Paisley & Hamilton Campus) Session 013-014 Trimester 1 MANAGEMENT ACCOUNTING MODULE CODE: ACCT08004 Date: 1 st January 014 Time: 1000-100 Answer THREE questions Question 1 in Section A,

### Course Text. Required Computing Software. Course Description. Course Objectives. StraighterLine. Business Statistics

Course Text Business Statistics Lind, Douglas A., Marchal, William A. and Samuel A. Wathen. Basic Statistics for Business and Economics, 7th edition, McGraw-Hill/Irwin, 2010, ISBN: 9780077384470 [This

### MODELING ANALYSIS WITH EXCEL

APPENDIX A MODELING ANALYSIS WITH EXCEL A-1 INTRODUCTION A-2 RELATIVE ADDRESSING A-3 ABSOLUTE ADDRESSING A-4 MIXED ADDRESSING A-5 FINANCIAL FUNCTIONS A-5-1 FV(Rate,Nper,Pmt,Pv,Type) A-5-2 NPV(Rate,Value1,Value2,

### Strategy and Analysis in Using NPV. How Positive NPV Arises

Strategy and Analysis in Using NPV (Text reference: Chapter 8) Topics how positive NPV arises decision trees sensitivity analysis scenario analysis break-even analysis investment options AFM 271 - Strategy

### SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

Exam Name 1) Solve the system of linear equations: 2x + 2y = 1 3x - y = 6 2) Consider the following system of linear inequalities. 5x + y 0 5x + 9y 180 x + y 5 x 0, y 0 1) 2) (a) Graph the feasible set

### MATHEMATICS: PAPER I. 5. You may use an approved non-programmable and non-graphical calculator, unless otherwise stated.

NATIONAL SENIOR CERTIFICATE EXAMINATION NOVEMBER 015 MATHEMATICS: PAPER I Time: 3 hours 150 marks PLEASE READ THE FOLLOWING INSTRUCTIONS CAREFULLY 1. This question paper consists of 1 pages and an Information

### Chapter 2: Systems of Linear Equations and Matrices:

At the end of the lesson, you should be able to: Chapter 2: Systems of Linear Equations and Matrices: 2.1: Solutions of Linear Systems by the Echelon Method Define linear systems, unique solution, inconsistent,

### Teaching & Learning Plans. Applications of Geometric Sequences and Series. Junior Certificate Syllabus Leaving Certificate Syllabus

Teaching & Learning Plans Applications of Geometric Sequences and Series Junior Certificate Syllabus Leaving Certificate Syllabus The Teaching & Learning Plans are structured as follows: Aims outline what

### Paper P1 Performance Operations Post Exam Guide September 2013 Exam. General Comments

General Comments This sitting produced a slightly disappointing pass rate, towards the lower end compared to previous sittings. Whilst the overall performance of candidates was disappointing, it was encouraging

### BASIC CONCEPTS AND FORMULAE

12 Marginal Costing BASIC CONCEPTS AND FORMULAE Basic Concepts 1. Absorption Costing: a method of costing by which all direct cost and applicable overheads are charged to products or cost centers for finding

### P1 Performance Operations May 2013 examination

Operational Level Paper P1 Performance Operations 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

### LEARNING OBJECTIVES SCALES OF MEASUREMENT: A REVIEW SCALES OF MEASUREMENT: A REVIEW DESCRIBING RESULTS DESCRIBING RESULTS 8/14/2016

UNDERSTANDING RESEARCH RESULTS: DESCRIPTION AND CORRELATION LEARNING OBJECTIVES Contrast three ways of describing results: Comparing group percentages Correlating scores Comparing group means Describe

### Paper F2. Management Accounting. Fundamentals Pilot Paper Knowledge module. The Association of Chartered Certified Accountants. Time allowed: 2 hours

Fundamentals Pilot Paper Knowledge module Management ccounting Time allowed: 2 hours LL FIFTY questions are compulsory and MUST be attempted. Paper F2 o NOT open this paper until instructed by the supervisor.

### FBLA Business Calculations aligned with Common Core 6.14

FBLA: Business Calculations Competency: Depreciation CCSS Standards Addressed Description 1. Distinguish between straight-line method, declining balance method, sum of the years digits method, and MACRS

### PV Tutorial Using Calculator (Sharp EL-738)

EYK 15-2 PV Tutorial Using Calculator (Sharp EL-738) TABLE OF CONTENTS Calculator Configuration and Abbreviations Exercise 1: Exercise 2: Exercise 3: Exercise 4: Exercise 5: Exercise 6: Exercise 7: Exercise

### Helena Company reports the following total costs at two levels of production.

Chapter 22 Helena Company reports the following total costs at two levels of production. 10,000 Units 20,000 Units Direct materials \$20,000 \$40,000 Maintenance 8,000 10,000 Direct labor 17,000 34,000 Indirect

### In mathematics, there are four attainment targets: using and applying mathematics; number and algebra; shape, space and measures, and handling data.

MATHEMATICS: THE LEVEL DESCRIPTIONS In mathematics, there are four attainment targets: using and applying mathematics; number and algebra; shape, space and measures, and handling data. Attainment target

### Module 12 : Cost Volume Profit Analysis. Lecture 1 : Cost Volume Profit Analysis

Module 12 : Cost Volume Profit Analysis Lecture 1 : Cost Volume Profit Analysis Objectives In this lecture you will learn the following Cost Volume Profit (CVP) Introduction. Fixed costs. Variable costs.

### Engineering Problem Solving and Excel. EGN 1006 Introduction to Engineering

Engineering Problem Solving and Excel EGN 1006 Introduction to Engineering Mathematical Solution Procedures Commonly Used in Engineering Analysis Data Analysis Techniques (Statistics) Curve Fitting techniques

### PowerTeaching i3: Algebra I Mathematics

PowerTeaching i3: Algebra I Mathematics Alignment to the Common Core State Standards for Mathematics Standards for Mathematical Practice and Standards for Mathematical Content for Algebra I Key Ideas and

### TIME VALUE OF MONEY PROBLEM #8: NET PRESENT VALUE Professor Peter Harris Mathematics by Sharon Petrushka

TIME VALUE OF MONEY PROBLEM #8: NET PRESENT VALUE Professor Peter Harris Mathematics by Sharon Petrushka Introduction Creativity Unlimited Corporation is contemplating buying a machine for \$100,000, which

### Continuous Compounding and Discounting

Continuous Compounding and Discounting Philip A. Viton October 5, 2011 Continuous October 5, 2011 1 / 19 Introduction Most real-world project analysis is carried out as we ve been doing it, with the present

### COST-VOLUME-PROFIT RELATIONSHIPS

TM 5-1 COST-VOLUME-PROFIT RELATIONSHIPS Cost-volume-profit (CVP) analysis is concerned with the effects on net operating income of: Selling prices. Sales volume. Unit variable costs. Total fixed costs.

### Calculation Guide Estate Master DF Summary Report Performance Indicators. August 2012

Calculation Guide Estate Master DF Summary Report Performance Indicators August 2012 Table of Contents Introduction... 3 Summary Report - Performance Indicators... 4 1. Gross Development Profit... 4 2.

### Time Value of Money. 2014 Level I Quantitative Methods. IFT Notes for the CFA exam

Time Value of Money 2014 Level I Quantitative Methods IFT Notes for the CFA exam Contents 1. Introduction...2 2. Interest Rates: Interpretation...2 3. The Future Value of a Single Cash Flow...4 4. The

### Questions 1, 3 and 4 gained reasonable average marks, whereas Question 2 was poorly answered, especially parts (b),(c) and (f).

General Comments This sitting produced a reasonable pass rate for a resit paper although there was a large variation in pass rates between centres. It was clear that well-prepared candidates did not have

### volume-profit relationships

Slide 1.3.1 1. Accounting for decision making 1.3 Cost-volume volume-profit relationships Slide 1.3.2 Introduction This chapter examines one of the most basic planning tools available to managers: cost

### Correlation key concepts:

CORRELATION Correlation key concepts: Types of correlation Methods of studying correlation a) Scatter diagram b) Karl pearson s coefficient of correlation c) Spearman s Rank correlation coefficient d)

### BUSINESS OCR LEVEL 2 CAMBRIDGE TECHNICAL. Cambridge TECHNICALS FINANCIAL FORECASTING FOR BUSINESS CERTIFICATE/DIPLOMA IN K/502/5252 LEVEL 2 UNIT 3

Cambridge TECHNICALS OCR LEVEL 2 CAMBRIDGE TECHNICAL CERTIFICATE/DIPLOMA IN BUSINESS FINANCIAL FORECASTING FOR BUSINESS K/502/5252 LEVEL 2 UNIT 3 GUIDED LEARNING HOURS: 30 UNIT CREDIT VALUE: 5 FINANCIAL

### business statistics using Excel OXFORD UNIVERSITY PRESS Glyn Davis & Branko Pecar

business statistics using Excel Glyn Davis & Branko Pecar OXFORD UNIVERSITY PRESS Detailed contents Introduction to Microsoft Excel 2003 Overview Learning Objectives 1.1 Introduction to Microsoft Excel

### The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION MATHEMATICS A. Monday, January 27, 2003 1:15 to 4:15 p.m.

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION MATHEMATICS A Monday, January 27, 2003 1:15 to 4:15 p.m., only Print Your Name: Print Your School s Name: Print your name and the

### Compound Interest. Invest 500 that earns 10% interest each year for 3 years, where each interest payment is reinvested at the same rate:

Compound Interest Invest 500 that earns 10% interest each year for 3 years, where each interest payment is reinvested at the same rate: Table 1 Development of Nominal Payments and the Terminal Value, S.

### 1 Define Management. Explain Mintzberg Managerial Roles. 12M

Question Paper Code :GMB11T01 MANAGEMENT AND ORGANIZATIONAL BEHAVI0R 1 Define Management. Explain Mintzberg Managerial Roles. 2 Define Social Responsibility. Explain the Arguments for and against Social

### Friday, January 29, 2016 9:15 a.m. to 12:15 p.m., only

ALGEBRA /TRIGONOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION ALGEBRA /TRIGONOMETRY Friday, January 9, 016 9:15 a.m. to 1:15 p.m., only Student Name: School Name: The possession

### School of Distance Education UNIVERSITY OF CALICUT SCHOOL OF DISTANCE EDUCATION III SEMESTER B.A ECONOMICS (2013 ADMISSION) CORE COURSE (EC3 B03)

UNIVERSITY OF CALICUT SCHOOL OF DISTANCE EDUCATION III SEMESTER B.A ECONOMICS (2013 ADMISSION) CORE COURSE Quantitative Methods for Economic Analysis - 1 (EC3 B03) 1. The following integers were obtained

### LCCI International Qualifications

LCCI International Qualifications Level 2 Certificate in Business Calculations Syllabus Effective from 1 st October 2001 For further information contact us: Tel. +44 (0) 8707 202909 Email. enquiries@ediplc.com

### Bank: The bank's deposit pays 8 % per year with annual compounding. Bond: The price of the bond is \$75. You will receive \$100 five years later.

ü 4.4 lternative Discounted Cash Flow Decision Rules ü Three Decision Rules (1) Net Present Value (2) Future Value (3) Internal Rate of Return, IRR ü (3) Internal Rate of Return, IRR Internal Rate of Return

### Mathematics (Project Maths Phase 3)

013. M37 Coimisiún na Scrúduithe Stáit State Examinations Commission Leaving Certificate Examination 013 Mathematics (Project Maths Phase 3) Paper 1 Ordinary Level Friday 7 June Afternoon :00 4:30 300

### Exam 2 Study Guide. o o

1. LS7a An account was established 7 years ago with an initial deposit. Today the account is credited with annual interest of \$860. The interest rate is 7.7% compounded annually. No other deposits or withdrawals

### Economic Feasibility Studies

Economic Feasibility Studies ١ Introduction Every long term decision the firm makes is a capital budgeting decision whenever it changes the company s cash flows. The difficulty with making these decisions

### Annual Qualification Review

LCCI International Qualifications Level 3 Certificate in Cost Accounting Annual Qualification Review 2008 For further information contact us: Tel. +44 (0) 8707 202909 Email. enquiries@ediplc.com www.lcci.org.uk

### Fairfield Public Schools

Mathematics Fairfield Public Schools AP Statistics AP Statistics BOE Approved 04/08/2014 1 AP STATISTICS Critical Areas of Focus AP Statistics is a rigorous course that offers advanced students an opportunity

### Chapter. Cost-Volume-Profit Relationships

Chapter 6 Cost-Volume-Profit Relationships 6-2 LEARNING OBJECTIVES After studying this chapter, you should be able to: 1. Explain how changes in activity affect contribution margin. 2. Compute the contribution

### Multiple Choice Questions (45%)

Multiple Choice Questions (45%) Choose the Correct Answer 1. The following information was taken from XYZ Company s accounting records for the year ended December 31, 2014: Increase in raw materials inventory

### Lean Six Sigma Analyze Phase Introduction. TECH 50800 QUALITY and PRODUCTIVITY in INDUSTRY and TECHNOLOGY

TECH 50800 QUALITY and PRODUCTIVITY in INDUSTRY and TECHNOLOGY Before we begin: Turn on the sound on your computer. There is audio to accompany this presentation. Audio will accompany most of the online

Instructions Use black ink or ball-point pen. Fill in the boxes at the top of this page with your name, centre number and candidate number. Answer all questions. Answer the questions in the spaces provided

### Mathematics A *P44587A0128* Pearson Edexcel GCSE P44587A. Paper 2 (Calculator) Higher Tier. Friday 7 November 2014 Morning Time: 1 hour 45 minutes

Write your name here Surname Other names Pearson Edexcel GCSE Centre Number Mathematics A Paper 2 (Calculator) Friday 7 November 2014 Morning Time: 1 hour 45 minutes Candidate Number Higher Tier Paper

### Paper 7 Management Accounting

Technician Level Paper 7 Management Accounting Extended Syllabus INTRODUCTION Extended Syllabuses are part of a comprehensive package of support materials offered by SIAT. This package includes past question

### MATH A.1.a Compute with linear expressions Student Book Pages 50 51; Pages Evaluate linear, polynomial, and rational expressions

This is a comprehensive list of the publisher recommendations for all items that could potentially be measured on a GED Ready practice test or GED test. The Indicator Descriptions on this table should

### MINISTRY OF EDUCATION AND HUMAN RESOURCES, TERTIARY EDUCATION AND SCIENTIFIC RESEARCH MAURITIUS EXAMINATIONS SYNDICATE

MINISTRY OF EDUCATION AND HUMAN RESOURCES, TERTIARY EDUCATION AND SCIENTIFIC RESEARCH MAURITIUS EXAMINATIONS SYNDICATE NATIONAL ASSESSMENT AT FORM III NAME SCHOOL NAME CLASS/SECTION MATHEMATICS October

### 11.1 What You Will Learn

11.1 What You Will Learn Percent, Fractions, and Decimal Numbers (skip, assume that you known) Percent Change Percent Markup and Markdown 11.1-1 Percent Change Formula: Percent change = amount in latest

### Financial Pillar. F2 Financial Management. 24 November 2011 Thursday Afternoon Session

Financial Pillar F2 Financial Management 24 November 2011 Thursday Afternoon Session Instructions to candidates You are allowed three hours to answer this question paper. You are allowed 20 minutes reading

### Module 3: Correlation and Covariance

Using Statistical Data to Make Decisions Module 3: Correlation and Covariance Tom Ilvento Dr. Mugdim Pašiƒ University of Delaware Sarajevo Graduate School of Business O ften our interest in data analysis

### EXAM 1 REVIEW QUESTIONS

EXAM 1 REVIEW QUESTIONS 1) Free cash flow. Consider the following financial statements for United Technologies Corp. What is UT's free cash flow (total cash flow from assets) for 2001? UNITED TECHNOLOGIES:

### MATHEMATICS OF FINANCE AND INVESTMENT

MATHEMATICS OF FINANCE AND INVESTMENT G. I. FALIN Department of Probability Theory Faculty of Mechanics & Mathematics Moscow State Lomonosov University Moscow 119992 g.falin@mail.ru 2 G.I.Falin. Mathematics

### This unit will lay the groundwork for later units where the students will extend this knowledge to quadratic and exponential functions.

Algebra I Overview View unit yearlong overview here Many of the concepts presented in Algebra I are progressions of concepts that were introduced in grades 6 through 8. The content presented in this course

### Mathematics Paper 2 (Calculator)

Write your name here Surname Other names Pearson Edexcel Level 1/Level 2 GCSE (9-1) Centre Number Candidate Number Mathematics Paper 2 (Calculator) Specimen Papers Set 1 Time: 1 hour 30 minutes Foundation

### ALGEBRA 2/TRIGONOMETRY

ALGEBRA /TRIGONOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION ALGEBRA /TRIGONOMETRY Tuesday, January 8, 014 1:15 to 4:15 p.m., only Student Name: School Name: The possession

### Certified Actuarial An nalyst Resource guide Module 1

Certified Actuarial Resource guide Analyst Module 1 2015/2016 CAA Resource guide: Module 0 May 2016 1 Contents The Certified Actuarial Analyst qualification... 2 Assessment of the Module 1 exam... 3 Studying

### UNIVERSITY OF BOLTON BUSINESS SCHOOL ACCOUNTANCY SEMESTER 1 EXAMINATION 2015/2016 MANAGEMENT ACCOUNTING AND DECISION MAKING MODULE NO: ACC5002

BBS009 UNIVERSITY OF BOLTON BUSINESS SCHOOL ACCOUNTANCY SEMESTER 1 EXAMINATION 2015/2016 MANAGEMENT ACCOUNTING AND DECISION MAKING MODULE NO: ACC5002 Date: Tuesday 12 th January 2016 Time: 2:00pm to 5:00pm

### Common Core State Standards. Standards for Mathematical Practices Progression through Grade Levels

Standard for Mathematical Practice 1: Make sense of problems and persevere in solving them. Mathematically proficient students start by explaining to themselves the meaning of a problem and looking for

### ALGEBRA I (Common Core) Wednesday, August 12, :30 to 11:30 a.m., only

ALGEBRA I (COMMON CORE) The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION ALGEBRA I (Common Core) Wednesday, August 12, 2015 8:30 to 11:30 a.m., only Student Name: School Name: The