CARNEGIE MELLON UNIVERSITY CIO INSTITUTE

Size: px
Start display at page:

Download "CARNEGIE MELLON UNIVERSITY CIO INSTITUTE"

Transcription

1 CARNEGIE MELLON UNIVERSITY CIO INSTITUTE CAPITAL BUDGETING BASICS Contact Information: Lynne Pastor

2 RELATED LEARNGING OBJECTIVES 7.2 LO 3: Compare and contrast the implications of commonly used metrics such as ROI, NPV, Internal or Modified Internal Rate of Return (IRR, MIRR) etc. This comparison should address not only the outputs of the metrics, but also the assumptions upon which the metrics are based. 7.2 LO 7: Justify the reason that the Clinger-Cohen Act requires a riskadjusted ROI before making an investment in IT. 7.4 LO 4: Discuss the role of forecasting in cost-benefit analysis. Include situations in which IT systems are making an investment in information that does not show up immediately in the ROI, but needs to be inserted into the ROI forecast. 1

3 INTERNAL RATE OF RETURN (IRR) INTERNAL RATE OF RETURN (IRR) The internal rate of return is the actual rate of return of an investment Incorporates the time value of money Represents the interest rate that matches the present value of the cost to the present value of the future benefits received Internal Rate of Return (IRR) is the actual rate of return that equates a dollar invested now with a dollar received in the future. IRR & NPV The future benefits can be in the form of a stream of payments over a period of time and/or a lump sum received in the future Represents the interest rate that results when the NPV is zero The present value of the costs must equal the present value of the benefits 2

4 IRR EXAMPLE Example: An investment of $20,000 was made in a new project. Three years later the project was sold for $50,000. What is the IRR on this investment? IRR SOLUTION Find the IRR by use of the nth root of (FV PV)-1. The IRR can also be found by use of a calculator using the following formula: IRR = (FV/PV)^(1/n) 1 IRR = (50,000/20,000)^(1/3) % IRR EXAMPLE SERIES OF CF A project requires an initial $1,000,000 cash investment. The project will generate net cash flow of $180,000 for the next 8 years. There is no value in the project assets at the end of the Eighth year. The company has a Weighted Average Cost of Capital (WACC) of 7%. Should the company take the project? 3

5 INTERNAL RATE OF RETURN Investment $ (1,000,000) Cash Flow - Year 1 $ 180,000 Cash Flow - Year 2 $ 180,000 Cash Flow - Year 3 $ 180,000 Cash Flow - Year 4 $ 180,000 Cash Flow - Year 5 $ 180,000 Cash Flow - Year 6 $ 180,000 Cash Flow - Year 7 $ 180,000 Cash Flow - Year 8 $ 180,000 Internal Rate of Return 8.90% IRR is greater than 7% so go for it INTERNAL RATE OF RETURN Use the IRR function in Excel 8.9% > 7% Go for it! LIMITATIONS OF THE IRR IRR assumes that all cash flows are reinvested at the rate of return generated by the project. The IRR method may mislead mutually exclusive projects if they differ in size If the cash flows are unequal, calculating an IRR is best left to the IRR function in a spreadsheet like Excel 4

6 NET PRESENT VALUE (NPV) NET PRESENT VALUE (NPV) NPV incorporates the time value of money and discounts future returns and costs back to the present. PV of Annuity PV of a Lump Sum Pv of uneven cashflows The Discount rate is the interest rate that matches the cost of capital for an investment with its risk NET PRESENT VALUE NPV considers all of the current and future cash flows over the project s life. Where: NPV = Net present value of the investment PVB = Present value of the benefit PVC = Present value of the cost of the investment NPV = PVB - PVC 5

7 NPV EXAMPLE A project requires a $1 million investment. Each year the Net Cash flow from the project is $180,000 for 8 years. The Cost of Capital for a similar project would be 7%. Should the Company go ahead with the project? NET PRESENT VALUE Investment $ (1,000,000) $ (1,000,000) Cash Flow - Year 1 $ 180,000 $168, Cash Flow - Year 2 $ 180,000 $157, Cash Flow - Year 3 $ 180,000 $146, Cash Flow - Year 4 $ 180,000 $137, Cash Flow - Year 5 $ 180,000 $128, Cash Flow - Year 6 $ 180,000 $119, Cash Flow - Year 7 $ 180,000 $112, Cash Flow - Year 8 $ 180,000 $104, Net Present Value $1,074,834 $ 74, % NET PRESENT VALUE Use the NPV function in Excel $1,074,834 - $1,000,000 > $0 Go for it! 6

8 INVESTMENT DECISION Internal Rate of Return (IRR) Higher is better Must exceed the firm s Weighted Average Cost of Capital Net Present Value (NPV) Higher is better Must be positive for acceptance 7

9 CAPITAL PLANNING MAKING THE DECISION The methods previously discussed are often used in making a capital budgeting decision. However, two other scenarios exist. Mutually Exclusive: Some investments are mutually exclusive because one is chosen and the others are automatically sacrificed or excluded. Capital Rationing: Capital rationing is a constraint placed on the amount of funds that can be invested in a given time period. CAPITAL ALLOCATION A department has $10 million to invest in an IT program. It is determined that Project 1 has an IRR of 20% and Project 2 has an IRR of 15%. Project 1 requires a $6 million investment. Project 2 requires a $10 million investment. Which project should the department take? Depends on the Alternative Investment. CAPITAL ALLOCATION SOLUTION If the IRR of the alternative investment is 5% then take Project 2 even though it has a lower IRR. Project 1 = (60% x 20%) + (40% x 5%) Overall IRR for Project 1 is only 14% 8

10 RETURN ON INVESTMENT (ROI) AND PAYBACK WHY ROI? Easy to understand Traditional metric WHY NOT ROI Focus on financial benefits only Does not consider future benefits Cannot consider intangible assets May benefit outside of business unit Benefits may take longer to materialize in IT projects Need to supplement financial information with qualitative benefits 9

11 TRADITIONAL ROI Average annual net benefit/ Initial costs Results in the most conservative number Ignores the time value of money CUMULATIVE ROI (CROI) Total net benefits/ Initial costs Total net benefits over useful life then divide by the initial cost. Generally results in the highest value relative to other ROI Misleading Aggregates several years of returns instead of considering them annually Ignores the time-value of money May be significantly exaggerate when benefits come later in the useful life of the project 10

12 DISCOUNTED ROI Discount Rate is Risk Adjusted PV of net benefits/ Initial costs Must choose a discount that reflects the opportunity cost of investing in the project Less than 1 (100%) means No PAYBACK PERIOD How long it takes to recapture Upfront Investment Shorter is better =Investment/Annual Savings Tiebreaker if NPV and IRR of different projects are very close Use discounted Cashflows 11

13 ECONOMIC VALUE ADDED ECONOMIC VALUE ADDED EVA equals the net operating profit minus any applicable capital charges The Economic Value Added (EVA) is a measure of surplus value created on an investment. EVA VS OTHER METHODS Standard accounting methods treat capital as if it were available for free Debt has interest expense Equity requires a return for the investor EVA FORMULA Net Operating Profit After Taxes (Capital x Cost of Capital) (Return on Capital - Cost of Capital) (Capital Invested in Project) Use value of benefits (cashflows) in place of NOPAT 12

14 ANOTHER VARIATION ROI = Net Income after Tax/Total Assets EVA % = ROI Cost of Capital EVA VS. NPV & IRR EVA is a measure of dollar surplus value Generally, not the percentage difference in returns Closest in both theory and calculation to the net present value of a project in capital budgeting As opposed to the IRR USE OF EVA CFO Research: 33% of finance managers uses EVA to help make technology investment decisions. 15% percent use EVA as their primary finance metric for evaluating IT projects Keeps everyone focused on wringing the most benefit out of the capital asset base 13

15 OUTSOURCING AND EVA EVA increase when investment capital assets are low Low Capital Assets generally lowers Operating Costs EVA therefore often supports Outsourcing LESSON EVA allows R&D expenses to be treated as a capital expense and allocated over the time the benefits are realized Goal: Don t waste Capital!!! LIMITATIONS OF EVA AND IT Projects don t have an individual NOPAT IT EVA calculations use Net Benefits Gross Benefits Annual Costs Difficult to quantify benefits from IT investments 14

16 ROI EXAMPLE IT Investment $50,000 Value of Benefits net of Expenses $ 8,000 Cost of Capital 12% EVA = Net Benefits - (Cost x COC) = $8000 ($50,000 x 12%) = $2,000 USE OF ALTERNATIVE CALCULATION IT Investment: $50,000 Value of Benefits net of Expenses: $8,000 Cost of Capital : 12% ROI = Net Benefits/Cost $8,000/ $50,000 = 16% EVA Alternative: (ROI - COC) 16% - 12% = 4% 4% x $50,000 = $8,000 15

17 COST-BENEFIT ANALYSIS BENEFIT-COST RATIO Used often in Government Another way to evaluate Projects PV Cash Inflows PV Cash Outflow Pretty much the same as Profitability Index (PI) when PI is using Cash Flows as Benefits BCR EXAMPLE A company has to choose between two projects. One requires continuing investment and one requires a single upfront investment both with different cash inflows Inflows 1 Outflows 1 Inflows 2 Outflows 2 Year Year Year Year Year Year Year $13.19 $10.53 $13.37 $10.00 COC 20% 20% BCR

18 PROFITABILITY INDEX, OR PI The profitability index is the ratio of the present value of the benefits to the present value of the costs. PI = PV of Benefits/PV of Costs PI = 1,074,834/1,000,000 =1.074 CAVEAT Always remember to consider Capacity when making decision on which projects to choose. Excess capacity may indicate that you should take on projects you might not otherwise. RUN-AWAY PROJECTS 55% NO risk management 38% SOME risk management 7% DIDN T KNOW if they did or not* *KPMG Study 17

19 COST VS. BENEFIT Risk Management is an Investment Reduces the impact of possible unfavorable results The costs should not outweigh the benefits EXPECTED MONETARY VALUE Use EMV to evaluate risks to assess range of possible project outcomes Estimate Probability risk factor Impact of each factor Multiply probability and cost of associated risk event EXPECTED MONETARY VALUE Project 1 has an NPV of $200,000. The likelihood of success is 20%. The cost of failure of the project is loss of the original investment of $5,000 The alternative Project 2 has a 10% chance of success with an NPV of $1,000,000. The cost of failure is the cost of the original investment of $100,000. Which project do you choose? 18

20 EXPECTED MONETARY VALUE Project 1 $200,000 profits x 0.2 = $40,000 $5,000 loss x 0.8 = ($4,000) EMV = $40,000 + ($4,000) = $36,000 Project 2 $1,000,000 profit x 0.1 = $100,000 $100,000 loss x 0.9 = ($90,000) EMV = $100,000 +($90,000) = $10,000 Choose Project 1 19

21 We hope you have found this session beneficial. Please note that the course material is for educational purposes only and is not intended to be used without the course presentation. The preceding information is not intended to be legal or business advice. Please consult competent professionals when implementing any of the techniques and methods discussed in this presentation. 20

Capital Budgeting: Decision. Example. Net Present Value (NPV) FINC 3630 Yost

Capital Budgeting: Decision. Example. Net Present Value (NPV) FINC 3630 Yost Capital Budgeting: Decision Criteria Example Consider a firm with two projects, A and B, each with the following cash flows and a 10 percent cost of capital: Project A Project B Year Cash Flows Cash Flows

More information

$1,300 + 1,500 + 1,900 = $4,700. in cash flows. The project still needs to create another: $5,500 4,700 = $800

$1,300 + 1,500 + 1,900 = $4,700. in cash flows. The project still needs to create another: $5,500 4,700 = $800 1. To calculate the payback period, we need to find the time that the project has recovered its initial investment. After three years, the project has created: $1,300 + 1,500 + 1,900 = $4,700 in cash flows.

More information

CARNEGIE MELLON UNIVERSITY CIO INSTITUTE

CARNEGIE MELLON UNIVERSITY CIO INSTITUTE CARNEGIE MELLON UNIVERSITY CIO INSTITUTE FORECASTING & BUDGETING BASICS Contact Information: Lynne Pastor Email: lp23@andrew.cmu.edu RELATED LEARNING OBJECTIVES 3.3 LO 1: Identify and describe modeling

More information

Investment Decision Analysis

Investment Decision Analysis Lecture: IV 1 Investment Decision Analysis The investment decision process: Generate cash flow forecasts for the projects, Determine the appropriate opportunity cost of capital, Use the cash flows and

More information

Chapter 10. What is capital budgeting? Topics. The Basics of Capital Budgeting: Evaluating Cash Flows

Chapter 10. What is capital budgeting? Topics. The Basics of Capital Budgeting: Evaluating Cash Flows Chapter 10 The Basics of Capital Budgeting: Evaluating Cash Flows 1 Topics Overview and vocabulary Methods NPV IRR, MIRR Profitability Index Payback, discounted payback Unequal lives Economic life 2 What

More information

Why Use Net Present Value? The Payback Period Method The Discounted Payback Period Method The Average Accounting Return Method The Internal Rate of

Why Use Net Present Value? The Payback Period Method The Discounted Payback Period Method The Average Accounting Return Method The Internal Rate of 1 Why Use Net Present Value? The Payback Period Method The Discounted Payback Period Method The Average Accounting Return Method The Internal Rate of Return Problems with the IRR Approach The Profitability

More information

Understanding Financial Management: A Practical Guide Guideline Answers to the Concept Check Questions

Understanding Financial Management: A Practical Guide Guideline Answers to the Concept Check Questions Understanding Financial Management: A Practical Guide Guideline Answers to the Concept Check Questions Chapter 8 Capital Budgeting Concept Check 8.1 1. What is the difference between independent and mutually

More information

Net Present Value (NPV)

Net Present Value (NPV) Investment Criteria 208 Net Present Value (NPV) What: NPV is a measure of how much value is created or added today by undertaking an investment (the difference between the investment s market value and

More information

CE Entrepreneurship. Investment decision making

CE Entrepreneurship. Investment decision making CE Entrepreneurship Investment decision making Cash Flow For projects where there is a need to spend money to develop a product or establish a service which results in cash coming into the business in

More information

CHAPTER 6 NET PRESENT VALUE AND OTHER INVESTMENT CRITERIA

CHAPTER 6 NET PRESENT VALUE AND OTHER INVESTMENT CRITERIA CHAPTER 6 NET PRESENT VALUE AND OTHER INVESTMENT CRITERIA Answers to Concepts Review and Critical Thinking Questions 1. Assuming conventional cash flows, a payback period less than the project s life means

More information

CHAPTER 9 NET PRESENT VALUE AND OTHER INVESTMENT CRITERIA

CHAPTER 9 NET PRESENT VALUE AND OTHER INVESTMENT CRITERIA CHAPTER 9 NET PRESENT VALUE AND OTHER INVESTMENT CRITERIA Basic 1. To calculate the payback period, we need to find the time that the project has recovered its initial investment. After two years, the

More information

Capital Budgeting Tools. Chapter 11. Capital Budgeting. Types of Capital Budgeting Projects. The Basics of Capital Budgeting: Evaluating Cash Flows

Capital Budgeting Tools. Chapter 11. Capital Budgeting. Types of Capital Budgeting Projects. The Basics of Capital Budgeting: Evaluating Cash Flows Capital Budgeting Tools () Payback Period (a) Discounted Payback Period Chapter The Basics of Capital Budgeting: Evaluating s () Net Present Value (NPV) (a) Profitability Index (PI) () Internal Rate of

More information

Financial and Cash Flow Analysis Methods. www.project-finance.com

Financial and Cash Flow Analysis Methods. www.project-finance.com Financial and Cash Flow Analysis Methods Financial analysis Historic analysis (BS, ratios, CF analysis, management strategy) Current position (environment, industry, products, management) Future (competitiveness,

More information

Capital Budgeting OVERVIEW

Capital Budgeting OVERVIEW WSG12 7/7/03 4:25 PM Page 191 12 Capital Budgeting OVERVIEW This chapter concentrates on the long-term, strategic considerations and focuses primarily on the firm s investment opportunities. The discussions

More information

WHAT IS CAPITAL BUDGETING?

WHAT IS CAPITAL BUDGETING? WHAT IS CAPITAL BUDGETING? Capital budgeting is a required managerial tool. One duty of a financial manager is to choose investments with satisfactory cash flows and rates of return. Therefore, a financial

More information

CHAPTER 9 NET PRESENT VALUE AND OTHER INVESTMENT CRITERIA

CHAPTER 9 NET PRESENT VALUE AND OTHER INVESTMENT CRITERIA CHAPTER 9 NET PRESENT VALUE AND OTHER INVESTMENT CRITERIA Answers to Concepts Review and Critical Thinking Questions 1. A payback period less than the project s life means that the NPV is positive for

More information

Answers to Warm-Up Exercises

Answers to Warm-Up Exercises Answers to Warm-Up Exercises E10-1. Answer: E10-2. Answer: Payback period The payback period for Project Hydrogen is 4.29 years. The payback period for Project Helium is 5.75 years. Both projects are acceptable

More information

BENEFIT-COST ANALYSIS Financial and Economic Appraisal using Spreadsheets

BENEFIT-COST ANALYSIS Financial and Economic Appraisal using Spreadsheets BENEFIT-COST ANALYSIS Financial and Economic Appraisal using Spreadsheets Ch. 3: Decision Rules Harry Campbell & Richard Brown School of Economics The University of Queensland Applied Investment Appraisal

More information

Chapter 11 Building Information Systems and and Managing Projects

Chapter 11 Building Information Systems and and Managing Projects 1 Chapter 11 Building Information Systems and and Managing Projects LEARNING TRACK 1: CAPITAL BUDGETING METHODS FOR INFORMATION SYSTEM INVESTMENTS Traditional Capital Budgeting Models Capital budgeting

More information

Cost Benefits analysis

Cost Benefits analysis Cost Benefits analysis One of the key items in any business case is an analysis of the costs of a project that includes some consideration of both the cost and the payback (be it in monetary or other terms).

More information

MHSA 8630 -- Healthcare Financial Management Time Value of Money Analysis

MHSA 8630 -- Healthcare Financial Management Time Value of Money Analysis MHSA 8630 -- Healthcare Financial Management Time Value of Money Analysis ** One of the most fundamental tenets of financial management relates to the time value of money. The old adage that a dollar in

More information

Week- 1: Solutions to HW Problems

Week- 1: Solutions to HW Problems Week- 1: Solutions to HW Problems 10-1 a. Payback A (cash flows in thousands): Annual Period Cash Flows Cumulative 0 ($5,000) ($5,000) 1 5,000 (0,000) 10,000 (10,000) 3 15,000 5,000 4 0,000 5,000 Payback

More information

MODULE 2. Capital Budgeting

MODULE 2. Capital Budgeting MODULE 2 Capital Budgeting Capital Budgeting is a project selection exercise performed by the business enterprise. Capital budgeting uses the concept of present value to select the projects. Capital budgeting

More information

Project Cost Management

Project Cost Management Project Cost Management Guide to Mathematical Questions PMI, PMP, CAPM, PMBOK, PM Network and the PMI Registered Education Provider logo are registered marks of the Project Management Institute, Inc. Present

More information

CHAPTER 7: NPV AND CAPITAL BUDGETING

CHAPTER 7: NPV AND CAPITAL BUDGETING CHAPTER 7: NPV AND CAPITAL BUDGETING I. Introduction Assigned problems are 3, 7, 34, 36, and 41. Read Appendix A. The key to analyzing a new project is to think incrementally. We calculate the incremental

More information

REVIEW MATERIALS FOR REAL ESTATE ANALYSIS

REVIEW MATERIALS FOR REAL ESTATE ANALYSIS REVIEW MATERIALS FOR REAL ESTATE ANALYSIS 1997, Roy T. Black REAE 5311, Fall 2005 University of Texas at Arlington J. Andrew Hansz, Ph.D., CFA CONTENTS ITEM ANNUAL COMPOUND INTEREST TABLES AT 10% MATERIALS

More information

( ) ( )( ) ( ) 2 ( ) 3. n n = 100 000 1+ 0.10 = 100 000 1.331 = 133100

( ) ( )( ) ( ) 2 ( ) 3. n n = 100 000 1+ 0.10 = 100 000 1.331 = 133100 Mariusz Próchniak Chair of Economics II Warsaw School of Economics CAPITAL BUDGETING Managerial Economics 1 2 1 Future value (FV) r annual interest rate B the amount of money held today Interest is compounded

More information

Investment Appraisal

Investment Appraisal Investment Appraisal Article relevant to F1 Business Mathematics and Quantitative Methods Author: Pat McGillion, current Examiner. Questions 1 and 6 often relate to Investment Appraisal, which is underpinned

More information

rate nper pmt pv Interest Number of Payment Present Future Rate Periods Amount Value Value 12.00% 1 0 $100.00 $112.00

rate nper pmt pv Interest Number of Payment Present Future Rate Periods Amount Value Value 12.00% 1 0 $100.00 $112.00 In Excel language, if the initial cash flow is an inflow (positive), then the future value must be an outflow (negative). Therefore you must add a negative sign before the FV (and PV) function. The inputs

More information

Key Concepts and Skills. Net Present Value and Other Investment Rules. http://www2.gsu.edu/~fnccwh/pdf/ rwjch5v3overview.pdf.

Key Concepts and Skills. Net Present Value and Other Investment Rules. http://www2.gsu.edu/~fnccwh/pdf/ rwjch5v3overview.pdf. McGraw-Hill/Irwin Net Present Value and Other Investment Rules 9-1 http://www2.gsu.edu/~fnccwh/pdf/ rwjch5v3overview.pdf Copyright 2010 by Charles Hodges and the McGraw-Hill Companies, Inc. All rights

More information

- centred on human factors (ie. ergonomics, desire to have a new computer system) - Are there unused computer terminals in the company now?

- centred on human factors (ie. ergonomics, desire to have a new computer system) - Are there unused computer terminals in the company now? Feasibility and Cost-Benefit Analysis Feasibility Operational Feasibility - centred on human factors (ie. ergonomics, desire to have a new computer system) - Is the problem worth solving? - How do the

More information

Chapter 13 The Basics of Capital Budgeting Evaluating Cash Flows

Chapter 13 The Basics of Capital Budgeting Evaluating Cash Flows Chapter 13 The Basics of Capital Budgeting Evaluating Cash Flows ANSWERS TO SELECTED END-OF-CHAPTER QUESTIONS 13-1 a. The capital budget outlines the planned expenditures on fixed assets. Capital budgeting

More information

Net Present Value and Capital Budgeting. What to Discount

Net Present Value and Capital Budgeting. What to Discount Net Present Value and Capital Budgeting (Text reference: Chapter 7) Topics what to discount the CCA system total project cash flow vs. tax shield approach detailed CCA calculations and examples project

More information

Republic Polytechnic Continuing Education & Training Course Structure for : Finance Management

Republic Polytechnic Continuing Education & Training Course Structure for : Finance Management Republic Polytechnic Continuing Education & Training Course Structure for : Finance Management Module Finance Management Description Finance Management is a module that serves to cover key financial aspects

More information

CHAPTER 8 CAPITAL BUDGETING DECISIONS

CHAPTER 8 CAPITAL BUDGETING DECISIONS CHAPTER 8 CAPITAL BUDGETING DECISIONS Q1. What is capital budgeting? Why is it significant for a firm? A1 A capital budgeting decision may be defined as the firm s decision to invest its current funds

More information

Conducting a Cost Benefit Analysis for an Enterprise Incident Management System

Conducting a Cost Benefit Analysis for an Enterprise Incident Management System Conducting a Cost Benefit Analysis for an Enterprise Incident Management System Part Two: Quantitative Elements of a Cost Benefit Analysis for an EMIS Implementation Bruce McMahon, MBA, PMP Knowledge Management

More information

CAPITAL BUDGETING. Definition. Time Value of Money [TVM] TVM is the reward for postponement of consumption of money.

CAPITAL BUDGETING. Definition. Time Value of Money [TVM] TVM is the reward for postponement of consumption of money. 11 CAPITAL BUDGETING 1LO 1: Time Value of Money Definition Time Value of Money [TVM] TVM is the reward for postponement of consumption of money. Principle Rs.100 received today is greater than Rs. 100

More information

CALCULATOR TUTORIAL. Because most students that use Understanding Healthcare Financial Management will be conducting time

CALCULATOR TUTORIAL. Because most students that use Understanding Healthcare Financial Management will be conducting time CALCULATOR TUTORIAL INTRODUCTION Because most students that use Understanding Healthcare Financial Management will be conducting time value analyses on spreadsheets, most of the text discussion focuses

More information

Planning for Capital Investments

Planning for Capital Investments 12-1 Planning for Capital Investments Managerial Accounting Fifth Edition Weygandt Kimmel Kieso 12-2 study objectives 1. Discuss capital budgeting evaluation, and explain inputs used in capital budgeting.

More information

Part 7. Capital Budgeting

Part 7. Capital Budgeting Part 7. Capital Budgeting What is Capital Budgeting? Nancy Garcia and Digital Solutions Digital Solutions, a software development house, is considering a number of new projects, including a joint venture

More information

CHAPTER 4 DISCOUNTED CASH FLOW VALUATION

CHAPTER 4 DISCOUNTED CASH FLOW VALUATION CHAPTER 4 DISCOUNTED CASH FLOW VALUATION Solutions to Questions and Problems NOTE: All-end-of chapter problems were solved using a spreadsheet. Many problems require multiple steps. Due to space and readability

More information

CHAPTER 14 COST OF CAPITAL

CHAPTER 14 COST OF CAPITAL CHAPTER 14 COST OF CAPITAL Answers to Concepts Review and Critical Thinking Questions 1. It is the minimum rate of return the firm must earn overall on its existing assets. If it earns more than this,

More information

Accounting Building Business Skills. Interest. Interest. Paul D. Kimmel. Appendix B: Time Value of Money

Accounting Building Business Skills. Interest. Interest. Paul D. Kimmel. Appendix B: Time Value of Money Accounting Building Business Skills Paul D. Kimmel Appendix B: Time Value of Money PowerPoint presentation by Kate Wynn-Williams University of Otago, Dunedin 2003 John Wiley & Sons Australia, Ltd 1 Interest

More information

CHAPTER 9 NET PRESENT VALUE AND OTHER INVESTMENT CRITERIA

CHAPTER 9 NET PRESENT VALUE AND OTHER INVESTMENT CRITERIA CHAPTER 9 NET PRESENT VALUE AND OTHER INVESTMENT CRITERIA 1. To calculate the payback period, we need to find the time that the project has recovered its initial investment. After three years, the project

More information

Chapter 9 Capital Budgeting Decision Models

Chapter 9 Capital Budgeting Decision Models Chapter 9 Capital Budgeting Decision Models LEARNING OBJECTIVES (Slide 9-2) 1. Explain capital budgeting and differentiate between short-term and long-term budgeting decisions. 2. Explain the payback model

More information

Chapter 09 - Using Discounted Cash-Flow Analysis to Make Investment Decisions

Chapter 09 - Using Discounted Cash-Flow Analysis to Make Investment Decisions Solutions to Chapter 9 Using Discounted Cash-Flow Analysis to Make Investment Decisions 1. Net income = ($74 $42 $10) [0.35 ($74 $42 $10)] = $22 $7.7 = $14.3 million Revenues cash expenses taxes paid =

More information

Chapter 5 Capital Budgeting

Chapter 5 Capital Budgeting Chapter 5 Capital Budgeting Road Map Part A Introduction to finance. Part B Valuation of assets, given discount rates. Fixed-Income securities. Common stocks. Real assets (capital budgeting). Part C Determination

More information

e C P M 1 0 5 : P o r t f o l i o M a n a g e m e n t f o r P r i m a v e r a P 6 W e b A c c e s s

e C P M 1 0 5 : P o r t f o l i o M a n a g e m e n t f o r P r i m a v e r a P 6 W e b A c c e s s e C P M 1 5 : P o r t f o l i o M a n a g e m e n t f o r P r i m a v e r a P 6 W e b A c c e s s Capital Budgeting C o l l a b o r a t i v e P r o j e c t M a n a g e m e n t e C P M 1 5 C a p i t a l

More information

STUDENT CAN HAVE ONE LETTER SIZE FORMULA SHEET PREPARED BY STUDENT HIM/HERSELF. FINANCIAL CALCULATOR/TI-83 OR THEIR EQUIVALENCES ARE ALLOWED.

STUDENT CAN HAVE ONE LETTER SIZE FORMULA SHEET PREPARED BY STUDENT HIM/HERSELF. FINANCIAL CALCULATOR/TI-83 OR THEIR EQUIVALENCES ARE ALLOWED. Test III-FINN3120-090 Fall 2009 (2.5 PTS PER QUESTION. MAX 100 PTS) Type A Name ID PRINT YOUR NAME AND ID ON THE TEST, ANSWER SHEET AND FORMULA SHEET. TURN IN THE TEST, OPSCAN ANSWER SHEET AND FORMULA

More information

Performing Net Present Value (NPV) Calculations

Performing Net Present Value (NPV) Calculations Strategies and Mechanisms For Promoting Cleaner Production Investments In Developing Countries Profiting From Cleaner Production Performing Net Present Value (NPV) Calculations Cleaner Production Profiting

More information

PV Tutorial Using Excel

PV Tutorial Using Excel EYK 15-3 PV Tutorial Using Excel TABLE OF CONTENTS Introduction Exercise 1: Exercise 2: Exercise 3: Exercise 4: Exercise 5: Exercise 6: Exercise 7: Exercise 8: Exercise 9: Exercise 10: Exercise 11: Exercise

More information

EXAM 2 OVERVIEW. Binay Adhikari

EXAM 2 OVERVIEW. Binay Adhikari EXAM 2 OVERVIEW Binay Adhikari FEDERAL RESERVE & MARKET ACTIVITY (BS38) Definition 4.1 Discount Rate The discount rate is the periodic percentage return subtracted from the future cash flow for computing

More information

Total 100 All learning outcomes must be evidenced; a 10% aggregate variance is allowed.

Total 100 All learning outcomes must be evidenced; a 10% aggregate variance is allowed. Prescription: 603 Business Finance Elective prescription Level 6 Credit 20 Version 2 Aim Prerequisites Recommended prior knowledge Students will apply financial management knowledge and skills to small

More information

Tools for Project Evaluation. Nathaniel Osgood 1.040/1.401J 2/11/2004

Tools for Project Evaluation. Nathaniel Osgood 1.040/1.401J 2/11/2004 Tools for Project Evaluation Nathaniel Osgood 1.040/1.401J 2/11/2004 Basic Compounding Suppose we invest $x in a bank offering interest rate i If interest is compounded annually, asset will be worth $x(1+i)

More information

The table for the present value of annuities (Appendix A, Table 4) shows: 10 periods at 14% = 5.216. = 3.93 years

The table for the present value of annuities (Appendix A, Table 4) shows: 10 periods at 14% = 5.216. = 3.93 years 21-18 Capital budgeting methods, no income taxes. The table for the present value of annuities (Appendix A, Table 4) shows: 10 periods at 14% 5.216 1a. Net present value $28,000 (5.216) $146,048 $36,048

More information

The Time Value of Money

The Time Value of Money The Time Value of Money Future Value - Amount to which an investment will grow after earning interest. Compound Interest - Interest earned on interest. Simple Interest - Interest earned only on the original

More information

PV Tutorial Using Calculator (Sharp EL-738)

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

More information

Calculator (Hewlett-Packard 10BII) Tutorial

Calculator (Hewlett-Packard 10BII) Tutorial UNDERSTANDING HEALTHCARE FINANCIAL MANAGEMENT Calculator (Hewlett-Packard 10BII) Tutorial To begin, look at the face of the calculator. Most keys (except a few) have two functions: Each key s primary function

More information

Problems on Time value of money January 22, 2015

Problems on Time value of money January 22, 2015 Investment Planning Problems on Time value of money January 22, 2015 Vandana Srivastava SENSEX closing value on Tuesday: closing value on Wednesday: opening value on Thursday: Top news of any financial

More information

Spring 2012. True/False Indicate whether the statement is true or false.

Spring 2012. True/False Indicate whether the statement is true or false. Corporation Finance Spring 2012 Sample Exam 2B True/False Indicate whether the statement is true or false. 1. The total return on a share of stock refers to the dividend yield less any commissions paid

More information

AN INTRODUCTION TO REAL ESTATE INVESTMENT ANALYSIS: A TOOL KIT REFERENCE FOR PRIVATE INVESTORS

AN INTRODUCTION TO REAL ESTATE INVESTMENT ANALYSIS: A TOOL KIT REFERENCE FOR PRIVATE INVESTORS AN INTRODUCTION TO REAL ESTATE INVESTMENT ANALYSIS: A TOOL KIT REFERENCE FOR PRIVATE INVESTORS Phil Thompson Business Lawyer, Corporate Counsel www.thompsonlaw.ca Rules of thumb and financial analysis

More information

Project Evolution & Estimation :cash flow forecasting, cost benefit evolution techniques, risk evolution, Cost benefit analysis

Project Evolution & Estimation :cash flow forecasting, cost benefit evolution techniques, risk evolution, Cost benefit analysis Project Evolution & Estimation :cash flow forecasting, cost benefit evolution techniques, risk evolution, Cost benefit analysis EA Cost-benefit Analysis A standard way to assess the economic benefits Two

More information

CHAPTER 9 Time Value Analysis

CHAPTER 9 Time Value Analysis Copyright 2008 by the Foundation of the American College of Healthcare Executives 6/11/07 Version 9-1 CHAPTER 9 Time Value Analysis Future and present values Lump sums Annuities Uneven cash flow streams

More information

CHAPTER 4. The Time Value of Money. Chapter Synopsis

CHAPTER 4. The Time Value of Money. Chapter Synopsis CHAPTER 4 The Time Value of Money Chapter Synopsis Many financial problems require the valuation of cash flows occurring at different times. However, money received in the future is worth less than money

More information

How To Calculate Net Present Value In Excel 113

How To Calculate Net Present Value In Excel 113 11. Introduction to Discounted Cash Flow Analysis and Financial Functions in Excel John Herbohn and Steve Harrison The financial and economic analysis of investment projects is typically carried out using

More information

Chapter 10 The Basics of Capital Budgeting: Evaluating Cash Flows ANSWERS TO END-OF-CHAPTER QUESTIONS

Chapter 10 The Basics of Capital Budgeting: Evaluating Cash Flows ANSWERS TO END-OF-CHAPTER QUESTIONS Chapter 10 The Basics of Capital Budgeting: Evaluating Cash Flows ANSWERS TO END-OF-CHAPTER QUESTIONS 10-1 a. Capital budgeting is the whole process of analyzing projects and deciding whether they should

More information

How To Calculate Discounted Cash Flow

How To Calculate Discounted Cash Flow Chapter 1 The Overall Process Capital Expenditures Whenever we make an expenditure that generates a cash flow benefit for more than one year, this is a capital expenditure. Examples include the purchase

More information

Finance 3130 Sample Exam 1B Spring 2012

Finance 3130 Sample Exam 1B Spring 2012 Finance 3130 Sample Exam 1B Spring 2012 True/False Indicate whether the statement is true or false. 1. A firm s income statement provides information as of a point in time, and represents how management

More information

Capital Budgeting. Financial Modeling Templates

Capital Budgeting. Financial Modeling Templates Financial Modeling Templates http://spreadsheetml.com/finance/capitalbudgeting.shtml Copyright (c) 2009-2014, ConnectCode All Rights Reserved. ConnectCode accepts no responsibility for any adverse affect

More information

Accounting Income, Residual Income and Valuation

Accounting Income, Residual Income and Valuation Accounting Income, Residual Income and Valuation Ray Donnelly PhD, MSc, BComm, ACMA Examiner in Strategic Corporate Finance 1. Introduction The residual income (RI) for a firm for any year t is its accounting

More information

FINANCIAL AND RISK ANALYSIS WITH RETSCREEN SOFTWARE. SLIDE 1: Financial and Risk Analysis with RETScreen Software

FINANCIAL AND RISK ANALYSIS WITH RETSCREEN SOFTWARE. SLIDE 1: Financial and Risk Analysis with RETScreen Software Training Module SPEAKER S NOTES FINANCIAL AND RISK ANALYSIS WITH RETSCREEN SOFTWARE CLEAN ENERGY PROJECT ANALYSIS COURSE This document provides a transcription of the oral presentation (Voice & Slides)

More information

6. FINANCIAL MANAGEMENT

6. FINANCIAL MANAGEMENT 6. FINANCIAL MANAGEMENT Syllabus Financial Management: Investment-need, Appraisal and criteria, Financial analysis techniques-simple pay back period, Return on investment, Net present value, Internal rate

More information

Chapter 6. Discounted Cash Flow Valuation. Key Concepts and Skills. Multiple Cash Flows Future Value Example 6.1. Answer 6.1

Chapter 6. Discounted Cash Flow Valuation. Key Concepts and Skills. Multiple Cash Flows Future Value Example 6.1. Answer 6.1 Chapter 6 Key Concepts and Skills Be able to compute: the future value of multiple cash flows the present value of multiple cash flows the future and present value of annuities Discounted Cash Flow Valuation

More information

Prepared by: Dalia A. Marafi Version 2.0

Prepared by: Dalia A. Marafi Version 2.0 Kuwait University College of Business Administration Department of Finance and Financial Institutions Using )Casio FC-200V( for Fundamentals of Financial Management (220) Prepared by: Dalia A. Marafi Version

More information

Chapter 7. Net Present Value and Other Investment Criteria

Chapter 7. Net Present Value and Other Investment Criteria Chapter 7 Net Present Value and Other Investment Criteria 7-2 Topics Covered Net Present Value Other Investment Criteria Mutually Exclusive Projects Capital Rationing 7-3 Net Present Value Net Present

More information

UNIVERSITY OF WAH Department of Management Sciences

UNIVERSITY OF WAH Department of Management Sciences BBA-330: FINANCIAL MANAGEMENT UNIVERSITY OF WAH COURSE DESCRIPTION/OBJECTIVES The module aims at building competence in corporate finance further by extending the coverage in Business Finance module to

More information

Continue this process until you have cleared the stored memory positions that you wish to clear individually and keep those that you do not.

Continue this process until you have cleared the stored memory positions that you wish to clear individually and keep those that you do not. Texas Instruments (TI) BA II PLUS Professional The TI BA II PLUS Professional functions similarly to the TI BA II PLUS model. Any exceptions are noted here. The TI BA II PLUS Professional can perform two

More information

6: Financial Calculations

6: Financial Calculations : Financial Calculations The Time Value of Money Growth of Money I Growth of Money II The FV Function Amortisation of a Loan Annuity Calculation Comparing Investments Worked examples Other Financial Functions

More information

Investment, Time, and Present Value

Investment, Time, and Present Value Investment, Time, and Present Value Contents: Introduction Future Value (FV) Present Value (PV) Net Present Value (NPV) Optional: The Capital Asset Pricing Model (CAPM) Introduction Decisions made by a

More information

Ing. Lenka Strýčková, Ph.D.

Ing. Lenka Strýčková, Ph.D. Ing. Lenka Strýčková, Ph.D. 1. Introduction to Business Financial Management (introduction to the course, basic terminology) 2. Capital Budgeting: Long-Term Decisions (capital budgeting, short-term and

More information

Integrated Case. 5-42 First National Bank Time Value of Money Analysis

Integrated Case. 5-42 First National Bank Time Value of Money Analysis Integrated Case 5-42 First National Bank Time Value of Money Analysis You have applied for a job with a local bank. As part of its evaluation process, you must take an examination on time value of money

More information

How to Calculate Present Values

How to Calculate Present Values How to Calculate Present Values Michael Frantz, 2010-09-22 Present Value What is the Present Value The Present Value is the value today of tomorrow s cash flows. It is based on the fact that a Euro tomorrow

More information

5. Time value of money

5. Time value of money 1 Simple interest 2 5. Time value of money With simple interest, the amount earned each period is always the same: i = rp o We will review some tools for discounting cash flows. where i = interest earned

More information

CALCULATING ROI FOR TECHNOLOGY INVESTMENTS

CALCULATING ROI FOR TECHNOLOGY INVESTMENTS CALCULATING ROI FOR TECHNOLOGY INVESTMENTS Alex Corman Technology Finance Partners Abstract: In this short white paper, the author discusses the value of producing a business case analysis (also known

More information

Net Present Value and Other Investment Criteria

Net Present Value and Other Investment Criteria Net Present Value and Other Investment Criteria Topics Covered Net Present Value Other Investment Criteria Mutually Exclusive Projects Capital Rationing Net Present Value Net Present Value - Present value

More information

Chapter 9 Net Present Value and Other Investment Criteria Chapter Organization

Chapter 9 Net Present Value and Other Investment Criteria Chapter Organization T9.1 Chapter Outline Chapter 9 Net Present Value and Other Investment Criteria Chapter Organization! 9.1 Net Present Value! 9.2 The Payback Rule! 9.3 The Average Accounting Return! 9.4 The Internal Rate

More information

CHAPTER 29. Capital Budgeting

CHAPTER 29. Capital Budgeting CHAPTER 9 Capital Budgeting Meaning The term Capital Budgeting refers to the long-term planning for proposed capital outlays or expenditure for the purpose of maximizing return on investments. The capital

More information

CHAPTER 2. Time Value of Money 2-1

CHAPTER 2. Time Value of Money 2-1 CHAPTER 2 Time Value of Money 2-1 Time Value of Money (TVM) Time Lines Future value & Present value Rates of return Annuities & Perpetuities Uneven cash Flow Streams Amortization 2-2 Time lines 0 1 2 3

More information

Excel Financial Functions

Excel Financial Functions Excel Financial Functions PV() Effect() Nominal() FV() PMT() Payment Amortization Table Payment Array Table NPer() Rate() NPV() IRR() MIRR() Yield() Price() Accrint() Future Value How much will your money

More information

Project Management Seminars. Financial Management of Projects

Project Management Seminars. Financial Management of Projects Project Management Seminars Financial Management of Projects.inproject managementandsystems engineering, is a deliverable-oriented decomposition of a project into smaller components. (source: Wikipedia)

More information

UNDERSTANDING HEALTHCARE FINANCIAL MANAGEMENT, 5ed. Time Value Analysis

UNDERSTANDING HEALTHCARE FINANCIAL MANAGEMENT, 5ed. Time Value Analysis This is a sample of the instructor resources for Understanding Healthcare Financial Management, Fifth Edition, by Louis Gapenski. This sample contains the chapter models, end-of-chapter problems, and end-of-chapter

More information

CHAPTER 7 MAKING CAPITAL INVESTMENT DECISIONS

CHAPTER 7 MAKING CAPITAL INVESTMENT DECISIONS CHAPTER 7 MAKING CAPITAL INVESTMENT DECISIONS Answers to Concepts Review and Critical Thinking Questions 1. In this context, an opportunity cost refers to the value of an asset or other input that will

More information

Some Mathematics of Investing in Rental Property. Floyd Vest

Some Mathematics of Investing in Rental Property. Floyd Vest Some Mathematics of Investing in Rental Property Floyd Vest Example 1. In our example, we will use some of the assumptions from Luttman, Frederick W. (1983) Selected Applications of Mathematics of Finance

More information

This is Time Value of Money: Multiple Flows, chapter 7 from the book Finance for Managers (index.html) (v. 0.1).

This is Time Value of Money: Multiple Flows, chapter 7 from the book Finance for Managers (index.html) (v. 0.1). This is Time Value of Money: Multiple Flows, chapter 7 from the book Finance for Managers (index.html) (v. 0.1). This book is licensed under a Creative Commons by-nc-sa 3.0 (http://creativecommons.org/licenses/by-nc-sa/

More information

Basic Finance Skills No MBA Required (RIF001) Tuesday April 28, 2015 9:00 a.m. - 11:00 a.m.

Basic Finance Skills No MBA Required (RIF001) Tuesday April 28, 2015 9:00 a.m. - 11:00 a.m. Page 1 Basic Finance Skills No MBA Required (RIF001) Tuesday April 28, 2015 9:00 a.m. - 11:00 a.m. Speakers: Sandra K. Little, Risk Manager, Bar-S Foods Company Jerry L. Stevens, Professor of Finance,

More information

Chapter 4. The Time Value of Money

Chapter 4. The Time Value of Money Chapter 4 The Time Value of Money 1 Learning Outcomes Chapter 4 Identify various types of cash flow patterns Compute the future value and the present value of different cash flow streams Compute the return

More information

CHAPTER 11. Proposed Project. Incremental Cash Flow for a Project. Treatment of Financing Costs. Estimating cash flows:

CHAPTER 11. Proposed Project. Incremental Cash Flow for a Project. Treatment of Financing Costs. Estimating cash flows: CHAPTER 11 Cash Flow Estimation and Risk Analysis Estimating cash flows: Relevant cash flows Working capital treatment Inflation Risk Analysis: Sensitivity Analysis, Scenario Analysis, and Simulation Analysis

More information

2. How would (a) a decrease in the interest rate or (b) an increase in the holding period of a deposit affect its future value? Why?

2. How would (a) a decrease in the interest rate or (b) an increase in the holding period of a deposit affect its future value? Why? CHAPTER 3 CONCEPT REVIEW QUESTIONS 1. Will a deposit made into an account paying compound interest (assuming compounding occurs once per year) yield a higher future value after one period than an equal-sized

More information

2. CAPITAL BUDGETING TECHNIQUES

2. CAPITAL BUDGETING TECHNIQUES 2. CAPITAL BUDGETING TECHNIQUES 2.1 Introduction 2.2 Capital budgeting techniques under certainty 2.2.1 Non-discounted Cash flow Criteria 2.2.2 Discounted Cash flow Criteria 2.3 Comparison of NPV and IRR

More information