Portfolio Management & CAPM

Size: px
Start display at page:

Download "Portfolio Management & CAPM"

Transcription

1 CA BUSINESS SCHOOL POSTGRADUATE DIPLOMA IN BUSINESS & FINANCE SEMESTER 3: Financial Strategy Portfolio Management & CAPM M B G Wimalarathna (ACA, ACMA, ACIM, SAT, ACPM)(MBA USJ/PIM)

2 Introduction Portfolio Management refers managing a pool of investments for the given period of time. Pool of investments refers collection of different types of investments which ultimately represents the holding/ownership of the investor. Factors such as globalization and liberalization of capital market activities creates many investment opportunities (sources of investments) locally and globally. Investors can be categorized as individuals/group of people and institutions. Factors affecting choice of investments; Security Liquidity Return Risks (spreading risks) Growth prospects Attitude of the investor

3 Portfolio Risk and Return In general, risk can be identified as a variability (of expectations)due to uncertainty. Hence, portfolio risk is also a variation of expected return on investment (portfolio) as opposed to actual return. Actual return will not same as expected due to many reasons. But, rational investor attempts to minimise such gap of variations. Gap represents the risk. Return on portfolio is the weighted average return received from respective investments in the portfolio. This usually will be calculated by weighting the different returns as opposed total investment in each category. Even though, it is quite qualitative in nature, portfolio risk and return will be calculated based on mathematical approach. Return will be average of total returns while risk will be denoted/measured through standard deviation.

4 Portfolio Risk and Return (Contd.) Calculating return and risk; Return from the known investment will be as follows; Return probability 10% % % % 0.2 Return is the weighted average expected value Risk is the standard deviation

5 Portfolio Risk and Return (Contd.) Based on portfolio theory, a rational investor might attempt to reduce overall risk of investment by spreading the risks between each other. This usually called: diversification. Diversification theory leads following three types of relationships between investments; Positive Correlation : positive correlation effects when invest in shares of the companies having similar pattern of business. Both investments take similar direction. Umbrella and Raincoats business. Negative Correlation : invest in shares of the companies having complete different pattern of business leads to negative correlation. Two types of investments take opposite direction. Umbrella and Ice-cream business. No Correlation : when different investments do not denote pattern of relationship, it can be treated as no correlation situation. Telecommunication and Plantation.

6 Portfolio Theory and Financial Management In most aspects of financial management, main focus is to enhance the shareholders wealth. Portfolio theory attempts to minimize the risks of investments through diversifications. Remember, minimizing risks does not count maximize the return. Hence, reasonable question arise whether company should more work towards diversification or refrain from diversification. Why company should refrain from diversification strategy; Company can get maximum from its employees when deployed them with the work for which they have enormous level of skills and experience rather than deployed with the work new to them. You still can argue that staff can get training and/or recruit new staff with skills. But, all those claim costs and take time.

7 Portfolio Theory and Financial Management (Contd.) Company can post growth momentum of revenue in the business that they are in for many years rather than in new business. With minimum effort, company can seek avenues for increase revenue and profit since it clearly demarcate the dimensions of business activities. Since shareholders themselves can minimize risk being invest in different sources, it is not expected from company to diversify the business and minimize the risks accordingly. Shareholders might willing to see company undertake (even) high risk projects which gives high level of return. There is a high tendency of being takeover the individual businesses due to the fact that when businesses are valued independently, those carry low level of EPS/PER. Above factors do not necessarily alarm companies refrain from diversifications. But care is must when company planning to diversify into completely different types businesses.

8 Capital Asset Pricing Model (CAPM) Capital Asset Pricing Model (CAPM)is an alternative to the dividend valuation model to determined the cost of equity capital. In CAPM, cost of company s equity will be determined by considering both business and financial risk. CAPM theory usually includes following propositions; Investors who make an investment in shares require return in excess of risk free rate of return in order to compensate the systematic risk involved with the shares. Investors do not expect premium for unsystematic risk since they can manage such risk by investing in portfolios. Systematic risk varies depend on the nature of the company (shares) and as such investors expect high return when high systematic risk exist. These will apply same for the companies invest in projects.

9 CAPM Systematic & Unsystematic Risk Systematic risk is the risk inherited with nature of the source of investment (shares) which is unavoidable. Hence, systematic risk must be accepted by any investor unless make an investment in riskfree source. Risk which could manage through diversification is treated as unsystematic risk. Hence, unsystematic risk is not inherited which is avoidable. When an investor wants to avoid risk in full, he/she should invest in risk-free sources of investments. When investor having pool of investments in few companies shares, he/she experiences systematic risk as well as certain level of unsystematic risk. When investor having well balanced pool of investments in companies shares, he/she experiences systematic risk and might avoid unsystematic risk.

10 Systematic Risk & CAPM Taking all the shares in a stock market together, the total expected return from the market will vary due to systematic risk. CAPM developed with the aim of evaluating investment made in shares (stock market) rather than in projects. Hence, it can clearly build the argument: CAPM is only considers systematic risk and such systematic risk affects required return and share prices all the time. Systematic risk measured through beta factor. A major assumption in CAPM is that there is linear relationship between the return recognize from individual shares and the average return recognize from all shares in the market.

11 CAPM Beta Factor In finance, the Beta (β) of a stock or portfolio is a number which describes the correlated volatility of an asset in relation to the volatility of the benchmark that asset being attached and compared to. This benchmark is generally the overall financial market and is often estimated via the use of representative indices such as ASPI. Hence, β essentially measures the changes in return between overall market (shares) as opposed to individual selected shares/pool of shares. For example; assume that return on shares of ABC Ltd tend to vary twice as much as returns from the market as a whole. Hence, when market returns increase by 4%, return of ABC shares expected to be increase by 8% and vice versa. Accordingly, the beta factor of ABC Ltd shares will be 2 (times).

12 CAPM Beta Factor (Contd.) Beta measures the part of the asset's statistical variance that cannot be removed by the diversification provided by the portfolio of many risky assets which cannot be net off the risk involved in one share with another share. Beta can be estimated for individual companies using regression analysis against a stock market index. It is an basic principle in CAPM that unsystematic risk can be cancelled out by diversification. Hence, risks of individual shares will be cancelled within each other. But beta indicates specific unsystematic risk which unable to cancelled automatically. CAPM formula; Re = Rf + [Rm Rf] β Re expected return of share/cost of equity Rf risk free rate of return Rm return from the market as a whole β beta factor

13 CAPM Beta Factor (Contd.) Some interpretations of beta are explained in the following table; Value of Beta Interpretation Example β < 0 β = 0 0 < β < 1 Asset generally moves in the opposite Gold, which often moves opposite to the direction as compared to the index. movements of the stock market. Fixed-yield asset in which growth is Movement of the asset is uncorrelated with unrelated to the movement of the stock the movement of the benchmark. market. Stable, "staple" shares such as a company Movement of the asset is generally in the that makes FMCG. Moves in the same same direction, but less than the movement direction as the market at large, but less of the benchmark. susceptible to day-to-day fluctuation. β = 1 Movement of the asset is generally in the A representative shares or a share that same direction and about the same amount has strong contribution to the index itself. as the movement of the benchmark. β > 1 Movement of the asset is generally in the Volatile shares such as a high tech or same direction, but more than the shares which are very strongly influenced movement of the benchmark. by day-to-day market news.

14 Portfolio Management and CAPM It is well established that; Each share carries beta factor Pool of shares (portfolio) carries beta factor Market as a whole carries beta factor Hence, A portfolio which represents almost all the shares (except risk free securities) in the overall market has same return as expected from the market and as such beta factor will be 1. A portfolio which comprised all risk free securities will have beta factor of 0.

15 Portfolio Management and CAPM (Contd.) Why CAPM cannot practice successfully; In CAPM, we used historical data to determine excess return between return from market and risk free return where actually decision will be made in the future. Even though we assumed that government securities carries no risk, in practice there will be risk involvement based on the nature of the security to some extent which ultimately results vary in the return. Calculating most suitable beta factor will be a tuff task in real word circumstance.

Answers to Concepts in Review

Answers to Concepts in Review Answers to Concepts in Review 1. A portfolio is simply a collection of investments assembled to meet a common investment goal. An efficient portfolio is a portfolio offering the highest expected return

More information

Source of Finance and their Relative Costs F. COST OF CAPITAL

Source of Finance and their Relative Costs F. COST OF CAPITAL F. COST OF CAPITAL 1. Source of Finance and their Relative Costs 2. Estimating the Cost of Equity 3. Estimating the Cost of Debt and Other Capital Instruments 4. Estimating the Overall Cost of Capital

More information

Wel Dlp Portfolio And Risk Management

Wel Dlp Portfolio And Risk Management 1. In case of perfect diversification, the systematic risk is nil. Wel Dlp Portfolio And Risk Management 2. The objectives of investors while putting money in various avenues are:- (a) Safety (b) Capital

More information

Chapter 11, Risk and Return

Chapter 11, Risk and Return Chapter 11, Risk and Return 1. A portfolio is. A) a group of assets, such as stocks and bonds, held as a collective unit by an investor B) the expected return on a risky asset C) the expected return on

More information

The CAPM (Capital Asset Pricing Model) NPV Dependent on Discount Rate Schedule

The CAPM (Capital Asset Pricing Model) NPV Dependent on Discount Rate Schedule The CAPM (Capital Asset Pricing Model) Massachusetts Institute of Technology CAPM Slide 1 of NPV Dependent on Discount Rate Schedule Discussed NPV and time value of money Choice of discount rate influences

More information

Chapter 5. Risk and Return. Copyright 2009 Pearson Prentice Hall. All rights reserved.

Chapter 5. Risk and Return. Copyright 2009 Pearson Prentice Hall. All rights reserved. Chapter 5 Risk and Return Learning Goals 1. Understand the meaning and fundamentals of risk, return, and risk aversion. 2. Describe procedures for assessing and measuring the risk of a single asset. 3.

More information

Chapter 5 Risk and Return ANSWERS TO SELECTED END-OF-CHAPTER QUESTIONS

Chapter 5 Risk and Return ANSWERS TO SELECTED END-OF-CHAPTER QUESTIONS Chapter 5 Risk and Return ANSWERS TO SELECTED END-OF-CHAPTER QUESTIONS 5-1 a. Stand-alone risk is only a part of total risk and pertains to the risk an investor takes by holding only one asset. Risk is

More information

CHAPTER 10 RISK AND RETURN: THE CAPITAL ASSET PRICING MODEL (CAPM)

CHAPTER 10 RISK AND RETURN: THE CAPITAL ASSET PRICING MODEL (CAPM) CHAPTER 10 RISK AND RETURN: THE CAPITAL ASSET PRICING MODEL (CAPM) Answers to Concepts Review and Critical Thinking Questions 1. Some of the risk in holding any asset is unique to the asset in question.

More information

Portfolio Performance Measures

Portfolio Performance Measures Portfolio Performance Measures Objective: Evaluation of active portfolio management. A performance measure is useful, for example, in ranking the performance of mutual funds. Active portfolio managers

More information

Managing FOREX Foreign Exchange Risk Management

Managing FOREX Foreign Exchange Risk Management CA BUSINESS SCHOOL POSTGRADUATE DIPLOMA IN BUSINESS & FINANCE SEMESTER 3: Financial Strategy Managing FOREX Foreign Exchange Risk Management M B G Wimalarathna (ACA, ACMA, ACIM, SAT, ACPM)(MBA USJ/PIM)

More information

Models of Risk and Return

Models of Risk and Return Models of Risk and Return Aswath Damodaran Aswath Damodaran 1 First Principles Invest in projects that yield a return greater than the minimum acceptable hurdle rate. The hurdle rate should be higher for

More information

Review for Exam 2. Instructions: Please read carefully

Review for Exam 2. Instructions: Please read carefully Review for Exam Instructions: Please read carefully The exam will have 1 multiple choice questions and 5 work problems. Questions in the multiple choice section will be either concept or calculation questions.

More information

1. Portfolio Returns and Portfolio Risk

1. Portfolio Returns and Portfolio Risk Chapter 8 Risk and Return: Capital Market Theory Chapter 8 Contents Learning Objectives 1. Portfolio Returns and Portfolio Risk 1. Calculate the expected rate of return and volatility for a portfolio of

More information

Review for Exam 2. Instructions: Please read carefully

Review for Exam 2. Instructions: Please read carefully Review for Exam 2 Instructions: Please read carefully The exam will have 25 multiple choice questions and 5 work problems You are not responsible for any topics that are not covered in the lecture note

More information

Chapter 7 Risk, Return, and the Capital Asset Pricing Model

Chapter 7 Risk, Return, and the Capital Asset Pricing Model Chapter 7 Risk, Return, and the Capital Asset Pricing Model MULTIPLE CHOICE 1. Suppose Sarah can borrow and lend at the risk free-rate of 3%. Which of the following four risky portfolios should she hold

More information

1. CFI Holdings is a conglomerate listed on the Zimbabwe Stock Exchange (ZSE) and has three operating divisions as follows:

1. CFI Holdings is a conglomerate listed on the Zimbabwe Stock Exchange (ZSE) and has three operating divisions as follows: NATIONAL UNIVERSITY OF SCIENCE AND TECHNOLOGY FACULTY OF COMMERCE DEPARTMENT OF FINANCE BACHELOR OF COMMERCE HONOURS DEGREE IN FINANCE PART II 2 ND SEMESTER FINAL EXAMINATION MAY 2005 CORPORATE FINANCE

More information

Concentrated Stock Diversification Analysis

Concentrated Stock Diversification Analysis Concentrated Stock Diversification Analysis Example analysis Three Harbor Drive, Suite 315 Sausalito, CA 94965 (415) 339-4300 www.aperiogroup.com Copyright 2013 Aperio Group LLC Aperio v. [Latin] to make

More information

CFA Examination PORTFOLIO MANAGEMENT Page 1 of 6

CFA Examination PORTFOLIO MANAGEMENT Page 1 of 6 PORTFOLIO MANAGEMENT A. INTRODUCTION RETURN AS A RANDOM VARIABLE E(R) = the return around which the probability distribution is centered: the expected value or mean of the probability distribution of possible

More information

ENTREPRENEURIAL FINANCE: Strategy, Valuation, and Deal Structure

ENTREPRENEURIAL FINANCE: Strategy, Valuation, and Deal Structure ENTREPRENEURIAL FINANCE: Strategy, Valuation, and Deal Structure Chapter 11. The Entrepreneur s Perspective on Value Questions and Problems 1. A venture that requires an investment of $5 million is expected

More information

Solution: The optimal position for an investor with a coefficient of risk aversion A = 5 in the risky asset is y*:

Solution: The optimal position for an investor with a coefficient of risk aversion A = 5 in the risky asset is y*: Problem 1. Consider a risky asset. Suppose the expected rate of return on the risky asset is 15%, the standard deviation of the asset return is 22%, and the risk-free rate is 6%. What is your optimal position

More information

TPPE17 Corporate Finance 1(5) SOLUTIONS RE-EXAMS 2014 II + III

TPPE17 Corporate Finance 1(5) SOLUTIONS RE-EXAMS 2014 II + III TPPE17 Corporate Finance 1(5) SOLUTIONS RE-EXAMS 2014 II III Instructions 1. Only one problem should be treated on each sheet of paper and only one side of the sheet should be used. 2. The solutions folder

More information

Concepts in Investments Risks and Returns (Relevant to PBE Paper II Management Accounting and Finance)

Concepts in Investments Risks and Returns (Relevant to PBE Paper II Management Accounting and Finance) Concepts in Investments Risks and Returns (Relevant to PBE Paper II Management Accounting and Finance) Mr. Eric Y.W. Leung, CUHK Business School, The Chinese University of Hong Kong In PBE Paper II, students

More information

Chapter 11. Topics Covered. Chapter 11 Objectives. Risk, Return, and Capital Budgeting

Chapter 11. Topics Covered. Chapter 11 Objectives. Risk, Return, and Capital Budgeting Chapter 11 Risk, Return, and Capital Budgeting Topics Covered Measuring Market Risk Portfolio Betas Risk and Return CAPM and Expected Return Security Market Line CAPM and Stock Valuation Chapter 11 Objectives

More information

Life Cycle Asset Allocation A Suitable Approach for Defined Contribution Pension Plans

Life Cycle Asset Allocation A Suitable Approach for Defined Contribution Pension Plans Life Cycle Asset Allocation A Suitable Approach for Defined Contribution Pension Plans Challenges for defined contribution plans While Eastern Europe is a prominent example of the importance of defined

More information

Econ 422 Summer 2006 Final Exam Solutions

Econ 422 Summer 2006 Final Exam Solutions Econ 422 Summer 2006 Final Exam Solutions This is a closed book exam. However, you are allowed one page of notes (double-sided). Answer all questions. For the numerical problems, if you make a computational

More information

CALCULATION OF AVERAGE WEIGHTED COST OF CAPITAL FOR INDIVIDUAL SHARES OF SARAJEVO AND BANJA LUKA STOCK EXCHANGE

CALCULATION OF AVERAGE WEIGHTED COST OF CAPITAL FOR INDIVIDUAL SHARES OF SARAJEVO AND BANJA LUKA STOCK EXCHANGE CALCULATION OF AVERAGE WEIGHTED COST OF CAPITAL FOR INDIVIDUAL SHARES OF SARAJEVO AND BANJA LUKA STOCK EXCHANGE Almir Alihodžić University of Zenica, Bosnia and Herzegovina almir.dr2@gmail.com Dejan Erić

More information

Equity Market Risk Premium Research Summary. 12 April 2016

Equity Market Risk Premium Research Summary. 12 April 2016 Equity Market Risk Premium Research Summary 12 April 2016 Introduction welcome If you are reading this, it is likely that you are in regular contact with KPMG on the topic of valuations. The goal of this

More information

INVESTMENTS IN OFFSHORE OIL AND NATURAL GAS DEPOSITS IN ISRAEL: BASIC PRINCIPLES ROBERT S. PINDYCK

INVESTMENTS IN OFFSHORE OIL AND NATURAL GAS DEPOSITS IN ISRAEL: BASIC PRINCIPLES ROBERT S. PINDYCK INVESTMENTS IN OFFSHORE OIL AND NATURAL GAS DEPOSITS IN ISRAEL: BASIC PRINCIPLES ROBERT S. PINDYCK Bank of Tokyo-Mitsubishi Professor of Economics and Finance Sloan School of Management Massachusetts Institute

More information

1 Capital Asset Pricing Model (CAPM)

1 Capital Asset Pricing Model (CAPM) Copyright c 2005 by Karl Sigman 1 Capital Asset Pricing Model (CAPM) We now assume an idealized framework for an open market place, where all the risky assets refer to (say) all the tradeable stocks available

More information

Cost of Capital, Valuation and Strategic Financial Decision Making

Cost of Capital, Valuation and Strategic Financial Decision Making Cost of Capital, Valuation and Strategic Financial Decision Making By Dr. Valerio Poti, - Examiner in Professional 2 Stage Strategic Corporate Finance The financial crisis that hit financial markets in

More information

Chapter 11. Topics Covered. Chapter 11 Objectives. Risk, Return, and Capital Budgeting

Chapter 11. Topics Covered. Chapter 11 Objectives. Risk, Return, and Capital Budgeting Chapter 11 Risk, Return, and Capital Budgeting Topics Covered Measuring Market Risk Portfolio Betas Risk and Return CAPM and Expected Return Security Market Line CAPM and Stock Valuation Chapter 11 Objectives

More information

The cost of capital. A reading prepared by Pamela Peterson Drake. 1. Introduction

The cost of capital. A reading prepared by Pamela Peterson Drake. 1. Introduction The cost of capital A reading prepared by Pamela Peterson Drake O U T L I N E 1. Introduction... 1 2. Determining the proportions of each source of capital that will be raised... 3 3. Estimating the marginal

More information

CHAPTER 11: ARBITRAGE PRICING THEORY

CHAPTER 11: ARBITRAGE PRICING THEORY CHAPTER 11: ARBITRAGE PRICING THEORY 1. The revised estimate of the expected rate of return on the stock would be the old estimate plus the sum of the products of the unexpected change in each factor times

More information

Risk and Return Models: Equity and Debt. Aswath Damodaran 1

Risk and Return Models: Equity and Debt. Aswath Damodaran 1 Risk and Return Models: Equity and Debt Aswath Damodaran 1 First Principles Invest in projects that yield a return greater than the minimum acceptable hurdle rate. The hurdle rate should be higher for

More information

How should I invest my Pension/Investment money? Thank you to AXA Wealth for their contribution to this guide.

How should I invest my Pension/Investment money? Thank you to AXA Wealth for their contribution to this guide. How should I invest my Pension/Investment money? Thank you to AXA Wealth for their contribution to this guide. www.increaseyourpension.co.uk Welcome to making investing simple Investing doesn t have to

More information

ON THE RISK ADJUSTED DISCOUNT RATE FOR DETERMINING LIFE OFFICE APPRAISAL VALUES BY M. SHERRIS B.A., M.B.A., F.I.A., F.I.A.A. 1.

ON THE RISK ADJUSTED DISCOUNT RATE FOR DETERMINING LIFE OFFICE APPRAISAL VALUES BY M. SHERRIS B.A., M.B.A., F.I.A., F.I.A.A. 1. ON THE RISK ADJUSTED DISCOUNT RATE FOR DETERMINING LIFE OFFICE APPRAISAL VALUES BY M. SHERRIS B.A., M.B.A., F.I.A., F.I.A.A. 1. INTRODUCTION 1.1 A number of papers have been written in recent years that

More information

CHAPTER 7: OPTIMAL RISKY PORTFOLIOS

CHAPTER 7: OPTIMAL RISKY PORTFOLIOS CHAPTER 7: OPTIMAL RIKY PORTFOLIO PROLEM ET 1. (a) and (e).. (a) and (c). After real estate is added to the portfolio, there are four asset classes in the portfolio: stocks, bonds, cash and real estate.

More information

FIN 432 Investment Analysis and Management Review Notes for Midterm Exam

FIN 432 Investment Analysis and Management Review Notes for Midterm Exam FIN 432 Investment Analysis and Management Review Notes for Midterm Exam Chapter 1 1. Investment vs. investments 2. Real assets vs. financial assets 3. Investment process Investment policy, asset allocation,

More information

Leverage. FINANCE 350 Global Financial Management. Professor Alon Brav Fuqua School of Business Duke University. Overview

Leverage. FINANCE 350 Global Financial Management. Professor Alon Brav Fuqua School of Business Duke University. Overview Leverage FINANCE 35 Global Financial Management Professor Alon Brav Fuqua School of Business Duke University Overview Capital Structure does not matter! Modigliani & Miller propositions Implications for

More information

Journal of Exclusive Management Science May 2015 -Vol 4 Issue 5 - ISSN 2277 5684

Journal of Exclusive Management Science May 2015 -Vol 4 Issue 5 - ISSN 2277 5684 Journal of Exclusive Management Science May 2015 Vol 4 Issue 5 ISSN 2277 5684 A Study on the Emprical Testing Of Capital Asset Pricing Model on Selected Energy Sector Companies Listed In NSE Abstract *S.A.

More information

Chapter 5. Conditional CAPM. 5.1 Conditional CAPM: Theory. 5.1.1 Risk According to the CAPM. The CAPM is not a perfect model of expected returns.

Chapter 5. Conditional CAPM. 5.1 Conditional CAPM: Theory. 5.1.1 Risk According to the CAPM. The CAPM is not a perfect model of expected returns. Chapter 5 Conditional CAPM 5.1 Conditional CAPM: Theory 5.1.1 Risk According to the CAPM The CAPM is not a perfect model of expected returns. In the 40+ years of its history, many systematic deviations

More information

Multi Asset Portfolio: Back-testing Report

Multi Asset Portfolio: Back-testing Report Multi Asset Portfolio: Back-testing Report Report Prepared for the Hamilton Investment Fund This analysis has been undertaken by Dr Paul Docherty to verify the performance and risk of the Multi Asset Portfolio

More information

Investment Philosophies: Introduction

Investment Philosophies: Introduction Investment Philosophies: Introduction Aswath Damodaran www.damodaran.com Aswath Damodaran! 1! What is an investment philosophy? What is it? An investment philosophy is a coherent way of thinking about

More information

Chapter 6 The Tradeoff Between Risk and Return

Chapter 6 The Tradeoff Between Risk and Return Chapter 6 The Tradeoff Between Risk and Return MULTIPLE CHOICE 1. Which of the following is an example of systematic risk? a. IBM posts lower than expected earnings. b. Intel announces record earnings.

More information

Cost of Capital Presentation for ERRA Tariff Committee Dr. Konstantin Petrov / Waisum Cheng / Dr. Daniel Grote April 2009 Experience you can trust.

Cost of Capital Presentation for ERRA Tariff Committee Dr. Konstantin Petrov / Waisum Cheng / Dr. Daniel Grote April 2009 Experience you can trust. Cost of Capital Presentation for ERRA Tariff Committee Dr. Konstantin Petrov / Waisum Cheng / Dr. Daniel Grote April 2009 Experience you can trust. Agenda 1.Definition of Cost of Capital a) Concept and

More information

Practice Bulletin No. 2

Practice Bulletin No. 2 Practice Bulletin No. 2 INTERNATIONAL GLOSSARY OF BUSINESS VALUATION TERMS To enhance and sustain the quality of business valuations for the benefit of the profession and its clientele, the below identified

More information

Chapter 9. The Valuation of Common Stock. 1.The Expected Return (Copied from Unit02, slide 39)

Chapter 9. The Valuation of Common Stock. 1.The Expected Return (Copied from Unit02, slide 39) Readings Chapters 9 and 10 Chapter 9. The Valuation of Common Stock 1. The investor s expected return 2. Valuation as the Present Value (PV) of dividends and the growth of dividends 3. The investor s required

More information

t = 1 2 3 1. Calculate the implied interest rates and graph the term structure of interest rates. t = 1 2 3 X t = 100 100 100 t = 1 2 3

t = 1 2 3 1. Calculate the implied interest rates and graph the term structure of interest rates. t = 1 2 3 X t = 100 100 100 t = 1 2 3 MØA 155 PROBLEM SET: Summarizing Exercise 1. Present Value [3] You are given the following prices P t today for receiving risk free payments t periods from now. t = 1 2 3 P t = 0.95 0.9 0.85 1. Calculate

More information

How To Understand The Value Of A Mutual Fund

How To Understand The Value Of A Mutual Fund FCS5510 Sample Homework Problems and Answer Key Unit03 CHAPTER 6. INVESTMENT COMPANIES: MUTUAL FUNDS PROBLEMS 1. What is the net asset value of an investment company with $10,000,000 in assets, $500,000

More information

Market Efficiency: Definitions and Tests. Aswath Damodaran

Market Efficiency: Definitions and Tests. Aswath Damodaran Market Efficiency: Definitions and Tests 1 Why market efficiency matters.. Question of whether markets are efficient, and if not, where the inefficiencies lie, is central to investment valuation. If markets

More information

International Glossary of Business Valuation Terms*

International Glossary of Business Valuation Terms* 40 Statement on Standards for Valuation Services No. 1 APPENDIX B International Glossary of Business Valuation Terms* To enhance and sustain the quality of business valuations for the benefit of the profession

More information

Paper 2. Derivatives Investment Consultant Examination. Thailand Securities Institute November 2014

Paper 2. Derivatives Investment Consultant Examination. Thailand Securities Institute November 2014 Derivatives Investment Consultant Examination Paper 2 Thailand Securities Institute November 2014 Copyright 2014, All right reserve Thailand Securities Institute (TSI) The Stock Exchange of Thailand Page

More information

A Review of Cross Sectional Regression for Financial Data You should already know this material from previous study

A Review of Cross Sectional Regression for Financial Data You should already know this material from previous study A Review of Cross Sectional Regression for Financial Data You should already know this material from previous study But I will offer a review, with a focus on issues which arise in finance 1 TYPES OF FINANCIAL

More information

How Many Days Equal A Year? Non-trivial on the Mean-Variance Model

How Many Days Equal A Year? Non-trivial on the Mean-Variance Model How Many Days Equal A Year? Non-trivial on the Mean-Variance Model George L. Ye, Dr. Sobey School of Business Saint Mary s University Halifax, Nova Scotia, Canada Christine Panasian, Dr. Sobey School of

More information

Fundamentals Level Skills Module, Paper F9

Fundamentals Level Skills Module, Paper F9 Answers Fundamentals Level Skills Module, Paper F9 Financial Management December 2008 Answers 1 (a) Rights issue price = 2 5 x 0 8 = $2 00 per share Theoretical ex rights price = ((2 50 x 4) + (1 x 2 00)/5=$2

More information

Holding Period Return. Return, Risk, and Risk Aversion. Percentage Return or Dollar Return? An Example. Percentage Return or Dollar Return? 10% or 10?

Holding Period Return. Return, Risk, and Risk Aversion. Percentage Return or Dollar Return? An Example. Percentage Return or Dollar Return? 10% or 10? Return, Risk, and Risk Aversion Holding Period Return Ending Price - Beginning Price + Intermediate Income Return = Beginning Price R P t+ t+ = Pt + Dt P t An Example You bought IBM stock at $40 last month.

More information

Fundamentals Level Skills Module, Paper F9

Fundamentals Level Skills Module, Paper F9 Answers Fundamentals Level Skills Module, Paper F9 Financial Management June 2008 Answers 1 (a) Calculation of weighted average cost of capital (WACC) Cost of equity Cost of equity using capital asset

More information

UNDERSTANDING PARTICIPATING WHOLE LIFE INSURANCE

UNDERSTANDING PARTICIPATING WHOLE LIFE INSURANCE UNDERSTANDING PARTICIPATING WHOLE LIFE INSURANCE equimax CLIENT GUIDE ABOUT EQUITABLE LIFE OF CANADA Equitable Life is one of Canada s largest mutual life insurance companies. For generations we ve provided

More information

PROSHARES S&P 500 EX-FINANCIALS ETF

PROSHARES S&P 500 EX-FINANCIALS ETF SUMMARY PROSPECTUS SEPTEMBER 17, 2015 SPXN PROSHARES S&P 500 EX-FINANCIALS ETF SPXN LISTED ON NYSE ARCA This Summary Prospectus is designed to provide investors with key fund information in a clear and

More information

CHAPTER 6. Topics in Chapter. What are investment returns? Risk, Return, and the Capital Asset Pricing Model

CHAPTER 6. Topics in Chapter. What are investment returns? Risk, Return, and the Capital Asset Pricing Model CHAPTER 6 Risk, Return, and the Capital Asset Pricing Model 1 Topics in Chapter Basic return concepts Basic risk concepts Stand-alone risk Portfolio (market) risk Risk and return: CAPM/SML 2 What are investment

More information

SAMPLE MID-TERM QUESTIONS

SAMPLE MID-TERM QUESTIONS SAMPLE MID-TERM QUESTIONS William L. Silber HOW TO PREPARE FOR THE MID- TERM: 1. Study in a group 2. Review the concept questions in the Before and After book 3. When you review the questions listed below,

More information

AN OVERVIEW OF FINANCIAL MANAGEMENT

AN OVERVIEW OF FINANCIAL MANAGEMENT CHAPTER 1 Review Questions AN OVERVIEW OF FINANCIAL MANAGEMENT 1. Management s basic, overriding goal is to create for 2. The same actions that maximize also benefits society 3. If businesses are successful

More information

Cash flow before tax 1,587 1,915 1,442 2,027 Tax at 28% (444) (536) (404) (568)

Cash flow before tax 1,587 1,915 1,442 2,027 Tax at 28% (444) (536) (404) (568) Answers Fundamentals Level Skills Module, Paper F9 Financial Management June 2014 Answers 1 (a) Calculation of NPV Year 1 2 3 4 5 $000 $000 $000 $000 $000 Sales income 5,670 6,808 5,788 6,928 Variable

More information

Investing. Mutual Fund. ABC Company 123 Main Street Anywhere, USA 12345 www.sampleabccompany.com 800.123.4567

Investing. Mutual Fund. ABC Company 123 Main Street Anywhere, USA 12345 www.sampleabccompany.com 800.123.4567 Mutual Fund Investing Your promotional imprint here and/or back cover. ABC Company 123 Main Street Anywhere, USA 12345 www.sampleabccompany.com 800.123.4567 Mutual funds are one of the most popular ways

More information

April 2016. The Value Reversion

April 2016. The Value Reversion April 2016 The Value Reversion In the past two years, value stocks, along with cyclicals and higher-volatility equities, have underperformed broader markets while higher-momentum stocks have outperformed.

More information

Total Beta. An International Perspective: A Canadian Example. By Peter J. Butler, CFA, ASA

Total Beta. An International Perspective: A Canadian Example. By Peter J. Butler, CFA, ASA Total Beta An International Perspective: A Canadian Example By Peter J. Butler, CFA, ASA Introduction: This article will highlight total beta s applicability for appraisers around the world. While I have

More information

The problems of being passive

The problems of being passive The problems of being passive Evaluating the merits of an index investment strategy In the investment management industry, indexing has received little attention from investors compared with active management.

More information

Referred to as the statement of financial position provides a snap shot of a company s assets, liabilities and equity at a particular point in time.

Referred to as the statement of financial position provides a snap shot of a company s assets, liabilities and equity at a particular point in time. Glossary Aggressive investor Balance sheet Bear market Typically has a higher risk appetite. They are prepared or can afford to risk much more and for this they stand to reap the big rewards. Referred

More information

Cost of Capital - WACC Mobile networks

Cost of Capital - WACC Mobile networks ITU EXPERT-LEVEL TRAINING ON NETWORK COST MODELING FOR ASIA AND PACIFIC COUNTRIES LEVEL II Cost of Capital - WACC Mobile networks Bangkok, Thailand 15-19 November 2010 Note: The views expressed in this

More information

NorthCoast Investment Advisory Team 203.532.7000 info@northcoastam.com

NorthCoast Investment Advisory Team 203.532.7000 info@northcoastam.com NorthCoast Investment Advisory Team 203.532.7000 info@northcoastam.com NORTHCOAST ASSET MANAGEMENT An established leader in the field of tactical investment management, specializing in quantitative research

More information

ANALYSIS AND MANAGEMENT

ANALYSIS AND MANAGEMENT ANALYSIS AND MANAGEMENT T H 1RD CANADIAN EDITION W. SEAN CLEARY Queen's University CHARLES P. JONES North Carolina State University JOHN WILEY & SONS CANADA, LTD. CONTENTS PART ONE Background CHAPTER 1

More information

Equity Risk Premium Article Michael Annin, CFA and Dominic Falaschetti, CFA

Equity Risk Premium Article Michael Annin, CFA and Dominic Falaschetti, CFA Equity Risk Premium Article Michael Annin, CFA and Dominic Falaschetti, CFA This article appears in the January/February 1998 issue of Valuation Strategies. Executive Summary This article explores one

More information

DCF and WACC calculation: Theory meets practice

DCF and WACC calculation: Theory meets practice www.pwc.com DCF and WACC calculation: Theory meets practice Table of contents Section 1. Fair value and company valuation page 3 Section 2. The DCF model: Basic assumptions and the expected cash flows

More information

Market Efficiency and Behavioral Finance. Chapter 12

Market Efficiency and Behavioral Finance. Chapter 12 Market Efficiency and Behavioral Finance Chapter 12 Market Efficiency if stock prices reflect firm performance, should we be able to predict them? if prices were to be predictable, that would create the

More information

Use the table for the questions 18 and 19 below.

Use the table for the questions 18 and 19 below. Use the table for the questions 18 and 19 below. The following table summarizes prices of various default-free zero-coupon bonds (expressed as a percentage of face value): Maturity (years) 1 3 4 5 Price

More information

SOLUTIONS EXAM 2013-10-25 WRITE AS CLEARLY AND DISTINCTLY AS POSSIBLE!

SOLUTIONS EXAM 2013-10-25 WRITE AS CLEARLY AND DISTINCTLY AS POSSIBLE! SOLUTIONS EXAM 2013-10-25 Instructions 1. Only one problem should be treated on each sheet of paper and only one side of the sheet should be used. 2. The solutions folder must be handed in before you leave

More information

Diploma in Financial Management Examination Module B Paper DB1 incorporating subject areas: Financial Strategy; Risk Management

Diploma in Financial Management Examination Module B Paper DB1 incorporating subject areas: Financial Strategy; Risk Management Answers Diploma in Financial Management Examination Module B Paper DB1 incorporating subject areas: Financial Strategy; Risk Management June 2005 Answers 1 D Items 2, 3 and 4 are correct. Item 1 relates

More information

READING 14: LIFETIME FINANCIAL ADVICE: HUMAN CAPITAL, ASSET ALLOCATION, AND INSURANCE

READING 14: LIFETIME FINANCIAL ADVICE: HUMAN CAPITAL, ASSET ALLOCATION, AND INSURANCE READING 14: LIFETIME FINANCIAL ADVICE: HUMAN CAPITAL, ASSET ALLOCATION, AND INSURANCE Introduction (optional) The education and skills that we build over this first stage of our lives not only determine

More information

The Tangent or Efficient Portfolio

The Tangent or Efficient Portfolio The Tangent or Efficient Portfolio 1 2 Identifying the Tangent Portfolio Sharpe Ratio: Measures the ratio of reward-to-volatility provided by a portfolio Sharpe Ratio Portfolio Excess Return E[ RP ] r

More information

Investing In Volatility

Investing In Volatility Investing In Volatility By: Anish Parvataneni, CFA Portfolio Manager LJM Partners Ltd. LJM Partners, Ltd. is issuing a series a white papers on the subject of investing in volatility as an asset class.

More information

Fama-French and Small Company Cost of Equity Calculations. This article appeared in the March 1997 issue of Business Valuation Review.

Fama-French and Small Company Cost of Equity Calculations. This article appeared in the March 1997 issue of Business Valuation Review. Fama-French and Small Company Cost of Equity Calculations This article appeared in the March 1997 issue of Business Valuation Review. Michael Annin, CFA Senior Consultant Ibbotson Associates 225 N. Michigan

More information

A Basic Introduction to the Methodology Used to Determine a Discount Rate

A Basic Introduction to the Methodology Used to Determine a Discount Rate A Basic Introduction to the Methodology Used to Determine a Discount Rate By Dubravka Tosic, Ph.D. The term discount rate is one of the most fundamental, widely used terms in finance and economics. Whether

More information

MGT201 Solved MCQs(500) By

MGT201 Solved MCQs(500) By MGT201 Solved MCQs(500) By http://www.vustudents.net Why companies invest in projects with negative NPV? Because there is hidden value in each project Because there may be chance of rapid growth Because

More information

WEB APPENDIX. Calculating Beta Coefficients. b Beta Rise Run Y 7.1 1 8.92 X 10.0 0.0 16.0 10.0 1.6

WEB APPENDIX. Calculating Beta Coefficients. b Beta Rise Run Y 7.1 1 8.92 X 10.0 0.0 16.0 10.0 1.6 WEB APPENDIX 8A Calculating Beta Coefficients The CAPM is an ex ante model, which means that all of the variables represent before-thefact, expected values. In particular, the beta coefficient used in

More information

Chapter 13 Composition of the Market Portfolio 1. Capital markets in Flatland exhibit trade in four securities, the stocks X, Y and Z,

Chapter 13 Composition of the Market Portfolio 1. Capital markets in Flatland exhibit trade in four securities, the stocks X, Y and Z, Chapter 13 Composition of the arket Portfolio 1. Capital markets in Flatland exhibit trade in four securities, the stocks X, Y and Z, and a riskless government security. Evaluated at current prices in

More information

Some common mistakes to avoid in estimating and applying discount rates

Some common mistakes to avoid in estimating and applying discount rates Discount rates Some common mistakes to avoid in estimating and applying discount rates One of the most critical issues for an investor to consider in a strategic acquisition is to estimate how much the

More information

Protecting. Gold Bullion. Your Investment Portfolio. with. -an WORLD GOLD COUNCIL

Protecting. Gold Bullion. Your Investment Portfolio. with. -an WORLD GOLD COUNCIL Protecting Your Investment Portfolio -an with Gold Bullion WORLD GOLD COUNCIL gold is an EFFECTIVE diversifier Gold s ability to serve as a diversifier is principally due to its negative correlation with

More information

Capital budgeting & risk

Capital budgeting & risk Capital budgeting & risk A reading prepared by Pamela Peterson Drake O U T L I N E 1. Introduction 2. Measurement of project risk 3. Incorporating risk in the capital budgeting decision 4. Assessment of

More information

American Society of Appraisers. ASA Business Valuation Standards

American Society of Appraisers. ASA Business Valuation Standards American Society of Appraisers Business Valuation Standards This release of the approved Business Valuation Standards of the American Society of Appraisers contains all standards approved through February,

More information

Course Outline. BUSN 6020/1-3 Corporate Finance (3,0,0)

Course Outline. BUSN 6020/1-3 Corporate Finance (3,0,0) Course Outline Department of Accounting and Finance School of Business and Economics BUSN 6020/1-3 Corporate Finance (3,0,0) Calendar Description Students acquire the knowledge and skills required to effectively

More information

Performance Evaluation on Mutual Funds

Performance Evaluation on Mutual Funds Performance Evaluation on Mutual Funds Dr.G.Brindha Associate Professor, Bharath School of Business, Bharath University, Chennai 600073, India Abstract: Mutual fund investment has lot of changes in the

More information

Chapter 9. The Valuation of Common Stock. 1.The Expected Return (Copied from Unit02, slide 36)

Chapter 9. The Valuation of Common Stock. 1.The Expected Return (Copied from Unit02, slide 36) Readings Chapters 9 and 10 Chapter 9. The Valuation of Common Stock 1. The investor s expected return 2. Valuation as the Present Value (PV) of dividends and the growth of dividends 3. The investor s required

More information

M.I.T. Spring 1999 Sloan School of Management 15.415. First Half Summary

M.I.T. Spring 1999 Sloan School of Management 15.415. First Half Summary M.I.T. Spring 1999 Sloan School of Management 15.415 First Half Summary Present Values Basic Idea: We should discount future cash flows. The appropriate discount rate is the opportunity cost of capital.

More information

Best Styles: Harvesting Risk Premium in Equity Investing

Best Styles: Harvesting Risk Premium in Equity Investing Strategy Best Styles: Harvesting Risk Premium in Equity Investing Harvesting risk premiums is a common investment strategy in fixed income or foreign exchange investing. In equity investing it is still

More information

1. What are the three types of business organizations? Define them

1. What are the three types of business organizations? Define them Written Exam Ticket 1 1. What is Finance? What do financial managers try to maximize, and what is their second objective? 2. How do you compare cash flows at different points in time? 3. Write the formulas

More information

Exchange-Traded Funds

Exchange-Traded Funds Exchange-Traded Funds Exchange Traded Funds (ETF s) are becoming popular investment vehicles for many investors. Most ETF s are cost effective, broad market funds. We have put together a layman s explanation

More information

Applied Economics For Managers Recitation 5 Tuesday July 6th 2004

Applied Economics For Managers Recitation 5 Tuesday July 6th 2004 Applied Economics For Managers Recitation 5 Tuesday July 6th 2004 Outline 1 Uncertainty and asset prices 2 Informational efficiency - rational expectations, random walks 3 Asymmetric information - lemons,

More information

Chapter 17 Corporate Capital Structure Foundations (Sections 17.1 and 17.2. Skim section 17.3.)

Chapter 17 Corporate Capital Structure Foundations (Sections 17.1 and 17.2. Skim section 17.3.) Chapter 17 Corporate Capital Structure Foundations (Sections 17.1 and 17.2. Skim section 17.3.) The primary focus of the next two chapters will be to examine the debt/equity choice by firms. In particular,

More information

Lecture 6: Arbitrage Pricing Theory

Lecture 6: Arbitrage Pricing Theory Lecture 6: Arbitrage Pricing Theory Investments FIN460-Papanikolaou APT 1/ 48 Overview 1. Introduction 2. Multi-Factor Models 3. The Arbitrage Pricing Theory FIN460-Papanikolaou APT 2/ 48 Introduction

More information