MIT Sloan Finance Problems and Solutions Collection Finance Theory I Part 1 Andrew W
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Valuation Methodologies V4 WST
® ST Providing financial training to Wall Street WALL www.wallst-training.com TRAINING CORPORATE VALUATION METHODOLOGIES “What is the business worth?” Although a simple question, determining the value of any business in today’s economy requires a sophisticated understanding of financial analysis as well as sound judgment from market and in dustry experience. The answer can differ among buyers and depends on several factors such as one’s assumptions regarding the growth and profitability prospects of the business, one’s assessment of future market conditions, one’s appetite for assuming risk (or discount rate on expected future cash flows) and what unique synergies may be brought to the business post-transaction. The purpose of this article is to provide an overview of the basic valuation techniques used by financial analysts to answer the question in the context of a merger or acquisition. Basic Valuation Methodologies In determining value, there are several basic analytical tools that are commonly used by financial analysts. These methods have been developed over several years of research and refinement and are based on financial theory and market reality. However, these tools are just that – tools – and should not be viewed as final judgment, but rather, as a starting point to determining value. It is also important to note that different people will have different ideas on value of an entity depending on factors such as: u Public status of the seller and buyer u Nature of potential buyers (strategic vs. financial) u Nature of the deal (“beauty contest” or privately negotiated) u Market conditions (bull or bear market, industry specific issues) u Tax position of buyer and seller Each methodology is fairly simple in theory but can become extremely complex. -
Chapter 06 - Bonds and Other Securities Section 6.2 - Bonds Bond - an Interest Bearing Security That Promises to Pay a Stated Amount of Money at Some Future Date(S)
Chapter 06 - Bonds and Other Securities Section 6.2 - Bonds Bond - an interest bearing security that promises to pay a stated amount of money at some future date(s). maturity date - date of promised final payment term - time between issue (beginning of bond) and maturity date callable bond - may be redeemed early at the discretion of the borrower putable bond - may be redeemed early at the discretion of the lender redemption date - date at which bond is completely paid off - it may be prior to or equal to the maturity date 6-1 Bond Types: Coupon bonds - borrower makes periodic payments (coupons) to lender until redemption at which time an additional redemption payment is also made - no periodic payments, redemption payment includes original loan principal plus all accumulated interest Convertible bonds - at a future date and under certain specified conditions the bond can be converted into common stock Other Securities: Preferred Stock - provides a fixed rate of return for an investment in the company. It provides ownership rather that indebtedness, but with restricted ownership privileges. It usually has no maturity date, but may be callable. The periodic payments are called dividends. Ranks below bonds but above common stock in security. Preferred stock is bought and sold at market price. 6-2 Common Stock - an ownership security without a fixed rate of return on the investment. Common stock dividends are paid only after interest has been paid on all indebtedness and on preferred stock. The dividend rate changes and is set by the Board of Directors. Common stock holders have true ownership and have voting rights for the Board of Directors, etc. -
3. VALUATION of BONDS and STOCK Investors Corporation
3. VALUATION OF BONDS AND STOCK Objectives: After reading this chapter, you should be able to: 1. Understand the role of stocks and bonds in the financial markets. 2. Calculate value of a bond and a share of stock using proper formulas. 3.1 Acquisition of Capital Corporations, big and small, need capital to do their business. The investors provide the capital to a corporation. A company may need a new factory to manufacture its products, or an airline a few more planes to expand into new territory. The firm acquires the money needed to build the factory or to buy the new planes from investors. The investors, of course, want a return on their investment. Therefore, we may visualize the relationship between the corporation and the investors as follows: Capital Investors Corporation Return on investment Fig. 3.1: The relationship between the investors and a corporation. Capital comes in two forms: debt capital and equity capital. To raise debt capital the companies sell bonds to the public, and to raise equity capital the corporation sells the stock of the company. Both stock and bonds are financial instruments and they have a certain intrinsic value. Instead of selling directly to the public, a corporation usually sells its stock and bonds through an intermediary. An investment bank acts as an agent between the corporation and the public. Also known as underwriters, they raise the capital for a firm and charge a fee for their services. The underwriters may sell $100 million worth of bonds to the public, but deliver only $95 million to the issuing corporation. -
Understanding the Z-Spread Moorad Choudhry*
Learning Curve September 2005 Understanding the Z-Spread Moorad Choudhry* © YieldCurve.com 2005 A key measure of relative value of a corporate bond is its swap spread. This is the basis point spread over the interest-rate swap curve, and is a measure of the credit risk of the bond. In its simplest form, the swap spread can be measured as the difference between the yield-to-maturity of the bond and the interest rate given by a straight-line interpolation of the swap curve. In practice traders use the asset-swap spread and the Z- spread as the main measures of relative value. The government bond spread is also considered. We consider the two main spread measures in this paper. Asset-swap spread An asset swap is a package that combines an interest-rate swap with a cash bond, the effect of the combined package being to transform the interest-rate basis of the bond. Typically, a fixed-rate bond will be combined with an interest-rate swap in which the bond holder pays fixed coupon and received floating coupon. The floating-coupon will be a spread over Libor (see Choudhry et al 2001). This spread is the asset-swap spread and is a function of the credit risk of the bond over and above interbank credit risk.1 Asset swaps may be transacted at par or at the bond’s market price, usually par. This means that the asset swap value is made up of the difference between the bond’s market price and par, as well as the difference between the bond coupon and the swap fixed rate. -
Frequently Asked Questions Coins and Notes July 2020
Frequently Asked Questions Coins and Notes July 2020 A. Currency Issuance 1. Under what authority does the Bangko Sentral ng Pilipinas (BSP) issue currency? The BSP is the sole government institution mandated by law to issue notes and coins for circulation in the Philippines. In Particular, Section 50 of Republic Act (R.A) No. 7653, otherwise known as The New Central Bank Act, as amended by Republic Act No. 11211, stipulates that the BSP shall have the sole power and authority to issue currency within the territory of the Philippines. It also issues legal tender commemorative notes and coins. 2. How does the BSP determine the volume/value of notes and coins to be issued annually? The annual volume/value of currency to be issue is projected based on currency demand that is estimated from a set of economic indicators which generally measure the country’s economic activity. Other variables considered in estimating currency order include: required currency reserves, unfit notes for replacement, and beginning inventory balance. The total amount of banknotes and coins that the BSP may issue should not exceed the total assets of the BSP. 3. How is currency issued to the public? Based on forecast of currency demand, denominational order of banknotes and coins is submitted to the Currency Production Sub-Sector (CPSS) for production of banknotes and coins. The CPSS delivers new BSP banknotes and coins to the Cash Department (CD) and the Regional Operations Sub-Sector (ROSS). In turn, CD services withdrawals of notes and coins of banks in the regions through its 22 Regional Offices/Branches. -
Uva-F-1274 Methods of Valuation for Mergers And
Graduate School of Business Administration UVA-F-1274 University of Virginia METHODS OF VALUATION FOR MERGERS AND ACQUISITIONS This note addresses the methods used to value companies in a merger and acquisitions (M&A) setting. It provides a detailed description of the discounted cash flow (DCF) approach and reviews other methods of valuation, such as book value, liquidation value, replacement cost, market value, trading multiples of peer firms, and comparable transaction multiples. Discounted Cash Flow Method Overview The discounted cash flow approach in an M&A setting attempts to determine the value of the company (or ‘enterprise’) by computing the present value of cash flows over the life of the company.1 Since a corporation is assumed to have infinite life, the analysis is broken into two parts: a forecast period and a terminal value. In the forecast period, explicit forecasts of free cash flow must be developed that incorporate the economic benefits and costs of the transaction. Ideally, the forecast period should equate with the interval in which the firm enjoys a competitive advantage (i.e., the circumstances where expected returns exceed required returns.) For most circumstances a forecast period of five or ten years is used. The value of the company derived from free cash flows arising after the forecast period is captured by a terminal value. Terminal value is estimated in the last year of the forecast period and capitalizes the present value of all future cash flows beyond the forecast period. The terminal region cash flows are projected under a steady state assumption that the firm enjoys no opportunities for abnormal growth or that expected returns equal required returns in this interval. -
The Promise and Peril of Real Options
1 The Promise and Peril of Real Options Aswath Damodaran Stern School of Business 44 West Fourth Street New York, NY 10012 [email protected] 2 Abstract In recent years, practitioners and academics have made the argument that traditional discounted cash flow models do a poor job of capturing the value of the options embedded in many corporate actions. They have noted that these options need to be not only considered explicitly and valued, but also that the value of these options can be substantial. In fact, many investments and acquisitions that would not be justifiable otherwise will be value enhancing, if the options embedded in them are considered. In this paper, we examine the merits of this argument. While it is certainly true that there are options embedded in many actions, we consider the conditions that have to be met for these options to have value. We also develop a series of applied examples, where we attempt to value these options and consider the effect on investment, financing and valuation decisions. 3 In finance, the discounted cash flow model operates as the basic framework for most analysis. In investment analysis, for instance, the conventional view is that the net present value of a project is the measure of the value that it will add to the firm taking it. Thus, investing in a positive (negative) net present value project will increase (decrease) value. In capital structure decisions, a financing mix that minimizes the cost of capital, without impairing operating cash flows, increases firm value and is therefore viewed as the optimal mix. -
Real Options Theory in Comparison to Other Project Evaluation Techniques
View metadata, citation and similar papers at core.ac.uk brought to you by CORE provided by Universidade do Minho: RepositoriUM 1st International Conference on Project Economic Evaluation ICOPEV’2011, Guimarães, Portugal REAL OPTIONS THEORY IN COMPARISON TO OTHER PROJECT EVALUATION TECHNIQUES Bartolomeu Fernandes,*Jorge Cunha and Paula Ferreira Department of Production and Systems, University of Minho, Portugal * Corresponding author: [email protected], University of Minho, Campus de Azurém, 4800-058, Portugal quality information, so that the uncertainties of the KEYWORDS future start to be present certainties. In order to avoid Real Options, Discounted Cash Flow Techniques, bad (or wrong) decisions, the academic community has, Project Evaluation over the years, developed more accurate techniques for investment evaluation. These techniques have been ABSTRACT classified in two major groups: sophisticated and non- sophisticated. In the former group, techniques like the Wrong investment decisions today can lead to situations Discounted Cash Flow (DCF) methods (e.g. NPV and in the future that will be unsustainable and lead IRR) can be found. In the latter group, techniques like eventually to the bankruptcy of enterprises. Therefore, the Payback Period and the Accounting Rate of Return good financial management combined with good capital have been included. However, several studies (Graham investment decision-making are critical to survival and and Harvey, 2002, Ryan and Ryan, 2002) indicate a long-term success of the firms. Traditionally, the net tendency for an increasing number of companies to use present value (NPV) and discounted cash flow (DCF) those more sophisticated methods for evaluation of methods are worldwide used to evaluate project investment projects. -
PSU Disinvestment Valuation Guidelines
Valuation Methodology CONTENTS CHAPTER I Introduction CHAPTER II Disinvestment Commission's Recommendations CHAPTER III Valuation Methodologies being followed Standardizing the valuation approach & CHAPTER IV methodologies CHAPTER - 1 Introduction 1.1 In any sale process, the sale will materialize only when the seller is satisfied that the price given by the buyer is not less than the value of the object being sold. Determination of that threshold amount, which the seller considers adequate, therefore, is the first pre-requisite for conducting any sale. This threshold amount is called the Reserve Price. Thus Reserve Price is the threshold amount below which the seller generally perceives any offer or bid inadequate. Reserve Price in case of sale of a company is determined by carrying out valuation of the company. In companies which are listed on the Stock Exchanges, market price of the shares serves as a good benchmark for assessing the fair value of the company, though the market price is usually characterized with significant short-term variance due to investor sentiments being influenced by short-term events and environmental aspects. More importantly, most of the PSUs are either not listed on the Stock Exchanges or command extremely limited traded float. They are, therefore, not correctly valued. Thus, deciding the worth of a PSU is indeed a challenging task. 1.2 Another point worth mentioning is that valuation of a PSU is different from establishing the price for which it can be sold. Experts are of the opinion that valuation must be differentiated from price. While the fair value of an asset is based on the assessment of intrinsic value accruing from fundamentals on a stand-alone basis, varying return expectation and underlying strategic aspects for different bidders could influence the price. -
MONEY, MARKETS, and DEMOCRACY
MONEY, MARKETS, and DEMOCRACY POLITICALLY SKEWED FINANCIAL MARKETS and HOW TO FIX THEM GEORGE BRAGUES Money, Markets, and Democracy George Bragues Money, Markets, and Democracy Politically Skewed Financial Markets and How to Fix Them George Bragues University of Guelph-Humber Toronto , Ontario , Canada ISBN 978-1-137-56939-4 ISBN 978-1-137-56940-0 (eBook) DOI 10.1057/978-1-137-56940-0 Library of Congress Control Number: 2016955852 © The Editor(s) (if applicable) and The Author(s) 2017 This work is subject to copyright. All rights are solely and exclusively licensed by the Publisher, whether the whole or part of the material is concerned, specifi cally the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfi lms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specifi c statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the pub- lisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. -
The Most Important Chart in Sustainable Finance?
fAGF. AGF SUSTAINABLE MARKET INSIGHT The Most Important Chart in Sustainable Finance? By Martin Grosskopf and Andy Kochar AGF SUSTAINABLE fAGF. A great deal has been written in the last few All financial assets and in fact all investment theses have years about the rise of sustainability in the some aspect of duration embedded in their valuation and premiums. For equities, duration can be considered as the financial sector – often either on sustainability time it takes to recoup one’s initial investment through itself (corporate or policy objectives) or on the future cash flows. An estimation of today’s equity market opportunity and risks for financial markets duration is provided in Figure 1. The idea is that long- duration equity investments have a significant proportion (stock prices and fund flows). As we all know, of their intrinsic value tied to their terminal value, thereby the COVID-19 crisis accelerated this movement, making them susceptible to drawdowns when interest with sustainability-linked products taking the rate volatility picks up on a cyclical basis. lion’s share of new fund flows, and with many As one can see from this estimation, the duration of the sustainability-linked themes significantly U.S. equity market has until very recently been increasing since the Great Financial Crisis, thanks to falling interest outperforming in 20201. rates and the significant, growing presence of long- However, 2021 has brought some significant rotation duration sectors such as Information Technology and away from companies with the most to benefit from Health Care. On the other hand, although the fixed capital inflows and the most to offer over the long income market has had its share of duration extensions term – for example, pure EV and battery companies, as well, S&P 500 equities have stretched to a duration of renewables, and so on. -
New Bonds to Make the Eurozone Safer
NEW BONDS TO MAKE THE EUROZONE SAFER Benedikt Fritz, Arne Holzhausen, Lea Pirovino, Tim Schmalle Allianz Research Munich, December 2018 1 NEW BONDS VS STATUS QUO SYNTHETIC EUROBONDS REFORM 01 A DECISION MATRIX 06 2011 EUROBONDS ESBIES PROPOSALS 02 2011 07 2011, 2016, 2017 RED / BLUE BONDS ESIM 03 2010, 2011 08 2011, 2018 PURPLE BONDS APPENDIX 04 2018 09 FURTHER PROPOSALS ACCOUNTABILITY BONDS 05 2015, 2018 2 NEW BONDS VS STATUS QUO: A DECISION MATRIX Red / Blue Accountability Synthetic Eurobonds ESBies ESIM Bonds Bonds Eurobonds Strengthening the Euro Fiscal discipline incentivized 0 0 Euro strengthened as a global currency 0 0 0 Crisis Performance Prevention of excessive rate spikes in crises 0 0 Doom loop broken 0 0 Political Feasibility Political resilience of the mechanism 0 0 Implementation possible 3 EC Green Paper, J.-C. Juncker (then Luxembourg Finance Minister) & G. Tremonti (then Italian Finance Minister), C. Lagarde (IMF Managing Director) EUROBONDS (2011) How does it work? What are the goals? What are the problems? • Bonds are issued jointly by eurozone member • Promotion of further eurozone integration • Entirely incompatible with the no-bailout clause states with joint and several liability • Increased liquidity and lowered borrowing costs, • Higher interest rates for very solvent countries like • Completely replaces national issuance of debt especially in times of financial distress Germany, the Netherlands and Austria • Each member is fully liable for the entire issuance • Resolution of the eurozone debt crisis and • Moral