The Modern Portfolio Theory As an Investment Decision Tool
Total Page:16
File Type:pdf, Size:1020Kb
Load more
Recommended publications
-
Basel III: Post-Crisis Reforms
Basel III: Post-Crisis Reforms Implementation Timeline Focus: Capital Definitions, Capital Focus: Capital Requirements Buffers and Liquidity Requirements Basel lll 2018 2019 2020 2021 2022 2023 2024 2025 2026 2027 1 January 2022 Full implementation of: 1. Revised standardised approach for credit risk; 2. Revised IRB framework; 1 January 3. Revised CVA framework; 1 January 1 January 1 January 1 January 1 January 2018 4. Revised operational risk framework; 2027 5. Revised market risk framework (Fundamental Review of 2023 2024 2025 2026 Full implementation of Leverage Trading Book); and Output 6. Leverage Ratio (revised exposure definition). Output Output Output Output Ratio (Existing exposure floor: Transitional implementation floor: 55% floor: 60% floor: 65% floor: 70% definition) Output floor: 50% 72.5% Capital Ratios 0% - 2.5% 0% - 2.5% Countercyclical 0% - 2.5% 2.5% Buffer 2.5% Conservation 2.5% Buffer 8% 6% Minimum Capital 4.5% Requirement Core Equity Tier 1 (CET 1) Tier 1 (T1) Total Capital (Tier 1 + Tier 2) Standardised Approach for Credit Risk New Categories of Revisions to the Existing Standardised Approach Exposures • Exposures to Banks • Exposure to Covered Bonds Bank exposures will be risk-weighted based on either the External Credit Risk Assessment Approach (ECRA) or Standardised Credit Risk Rated covered bonds will be risk Assessment Approach (SCRA). Banks are to apply ECRA where regulators do allow the use of external ratings for regulatory purposes and weighted based on issue SCRA for regulators that don’t. specific rating while risk weights for unrated covered bonds will • Exposures to Multilateral Development Banks (MDBs) be inferred from the issuer’s For exposures that do not fulfil the eligibility criteria, risk weights are to be determined by either SCRA or ECRA. -
Financial Literacy and Portfolio Diversification
WORKING PAPER NO. 212 Financial Literacy and Portfolio Diversification Luigi Guiso and Tullio Jappelli January 2009 University of Naples Federico II University of Salerno Bocconi University, Milan CSEF - Centre for Studies in Economics and Finance DEPARTMENT OF ECONOMICS – UNIVERSITY OF NAPLES 80126 NAPLES - ITALY Tel. and fax +39 081 675372 – e-mail: [email protected] WORKING PAPER NO. 212 Financial Literacy and Portfolio Diversification Luigi Guiso and Tullio Jappelli Abstract In this paper we focus on poor financial literacy as one potential factor explaining lack of portfolio diversification. We use the 2007 Unicredit Customers’ Survey, which has indicators of portfolio choice, financial literacy and many demographic characteristics of investors. We first propose test-based indicators of financial literacy and document the extent of portfolio under-diversification. We find that measures of financial literacy are strongly correlated with the degree of portfolio diversification. We also compare the test-based degree of financial literacy with investors’ self-assessment of their financial knowledge, and find only a weak relation between the two measures, an issue that has gained importance after the EU Markets in Financial Instruments Directive (MIFID) has required financial institutions to rate investors’ financial sophistication through questionnaires. JEL classification: E2, D8, G1 Keywords: Financial literacy, Portfolio diversification. Acknowledgements: We are grateful to the Unicredit Group, and particularly to Daniele Fano and Laura Marzorati, for letting us contribute to the design and use of the UCS survey. European University Institute and CEPR. Università di Napoli Federico II, CSEF and CEPR. Table of contents 1. Introduction 2. The portfolio diversification puzzle 3. The data 4. -
Personal Loans 101: Understanding Your Credit Risk Loans Have Some Risk for Both the Borrower and the Lender
PERSONAL LOANS 101: Understanding YoUr credit risk Loans have some risk for both the borrower and the lender. The borrower takes on the responsibilities and terms of paying back the loan. The lender’s risk is the chance of non-payment. Consumers can choose from several types of loans. As a borrower, you need to understand the type of loan you are considering and its possible risk. This brochure provides information to help you make a smart choice before applying for a loan. 2 It is important to review your financial situation to see if you can handle another monthly payment before applying for a loan. Creating a budget will help you apply for the loan that best meets your present and future needs. For an interactive budget, visit www.afsaef.org/budgetplanner or www.afsaef.org/personalloans101. You will need to show the lender that you can repay what you borrow, with interest. After you have made a budget, consider these factors, which maY redUce or add risk to a Loan. 3 abiLitY to repaY the Loan Is the lender evaluating your ability to repay the loan based on facts such as your credit history, current and expected income, current expenses, debt-to- income ratio (your expenses compared to your income) and employment status? This assessment, often called underwriting, helps determine if you can make the monthly payment and raises your chances of getting a loan to fit your needs that you can afford to repay. It depends on you providing complete and correct information to the lender. Testing “your ability to repay” and appropriate “underwriting” reduces your risk when taking out any type of loan. -
Stock Valuation Models (4.1)
Research STOCK VALUATION January 6, 2003 MODELS (4.1) Topical Study #58 All disclosures can be found on the back page. Dr. Edward Yardeni (212) 778-2646 [email protected] 2 Figure 1. 75 75 70 STOCK VALUATION MODEL (SVM-1)* 70 65 (percent) 65 60 60 55 55 50 50 45 45 RESEARCH 40 40 35 35 30 30 25 25 20 Overvalued 20 15 15 10 10 5 5 0 0 -5 -5 -10 -10 -15 -15 -20 -20 -25 -25 -30 Undervalued -30 -35 12/27 -35 -40 -40 -45 -45 Yardeni Stock ValuationModels -50 -50 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 00 01 02 03 04 05 06 January 6,2003 * Ratio of S&P 500 index to its fair value (i.e. 52-week forward consensus expected S&P 500 operating earnings per share divided by the 10-year U.S. Treasury bond yield) minus 100. Monthly through March 1994, weekly after. Source: Thomson Financial. R E S E A R C H Stock Valuation Models I. The Art Of Valuation Since the summer of 1997, I have written three major studies on stock valuation and numerous commentaries on the subject.1 This is the fourth edition of this ongoing research. More so in the past than in the present, it was common for authors of investment treatises to publish several editions to update and refine their thoughts. My work on valuation has been acclaimed, misunderstood, and criticized. In this latest edition, I hope to clear up the misunderstandings and address some of the criticisms. -
The Capital Asset Pricing Model (CAPM) Prof
Foundations of Finance: The Capital Asset Pricing Model (CAPM) Prof. Alex Shapiro Lecture Notes 9 The Capital Asset Pricing Model (CAPM) I. Readings and Suggested Practice Problems II. Introduction: from Assumptions to Implications III. The Market Portfolio IV. Assumptions Underlying the CAPM V. Portfolio Choice in the CAPM World VI. The Risk-Return Tradeoff for Individual Stocks VII. The CML and SML VIII. “Overpricing”/“Underpricing” and the SML IX. Uses of CAPM in Corporate Finance X. Additional Readings Buzz Words: Equilibrium Process, Supply Equals Demand, Market Price of Risk, Cross-Section of Expected Returns, Risk Adjusted Expected Returns, Net Present Value and Cost of Equity Capital. 1 Foundations of Finance: The Capital Asset Pricing Model (CAPM) I. Readings and Suggested Practice Problems BKM, Chapter 9, Sections 2-4. Suggested Problems, Chapter 9: 2, 4, 5, 13, 14, 15 Web: Visit www.morningstar.com, select a fund (e.g., Vanguard 500 Index VFINX), click on Risk Measures, and in the Modern Portfolio Theory Statistics section, view the beta. II. Introduction: from Assumptions to Implications A. Economic Equilibrium 1. Equilibrium analysis (unlike index models) Assume economic behavior of individuals. Then, draw conclusions about overall market prices, quantities, returns. 2. The CAPM is based on equilibrium analysis Problems: – There are many “dubious” assumptions. – The main implication of the CAPM concerns expected returns, which can’t be observed directly. 2 Foundations of Finance: The Capital Asset Pricing Model (CAPM) B. Implications of the CAPM: A Preview If everyone believes this theory… then (as we will see next): 1. There is a central role for the market portfolio: a. -
An Overview of the Empirical Asset Pricing Approach By
AN OVERVIEW OF THE EMPIRICAL ASSET PRICING APPROACH BY Dr. GBAGU EJIROGHENE EMMANUEL TABLE OF CONTENT Introduction 1 Historical Background of Asset Pricing Theory 2-3 Model and Theory of Asset Pricing 4 Capital Asset Pricing Model (CAPM): 4 Capital Asset Pricing Model Formula 4 Example of Capital Asset Pricing Model Application 5 Capital Asset Pricing Model Assumptions 6 Advantages associated with the use of the Capital Asset Pricing Model 7 Hitches of Capital Pricing Model (CAPM) 8 The Arbitrage Pricing Theory (APT): 9 The Arbitrage Pricing Theory (APT) Formula 10 Example of the Arbitrage Pricing Theory Application 10 Assumptions of the Arbitrage Pricing Theory 11 Advantages associated with the use of the Arbitrage Pricing Theory 12 Hitches associated with the use of the Arbitrage Pricing Theory (APT) 13 Actualization 14 Conclusion 15 Reference 16 INTRODUCTION This paper takes a critical examination of what Asset Pricing is all about. It critically takes an overview of its historical background, the model and Theory-Capital Asset Pricing Model and Arbitrary Pricing Theory as well as those who introduced/propounded them. This paper critically examines how securities are priced, how their returns are calculated and the various approaches in calculating their returns. In this Paper, two approaches of asset Pricing namely Capital Asset Pricing Model (CAPM) as well as the Arbitrage Pricing Theory (APT) are examined looking at their assumptions, advantages, hitches as well as their practical computation using their formulae in their examination as well as their computation. This paper goes a step further to look at the importance Asset Pricing to Accountants, Financial Managers and other (the individual investor). -
Post-Modern Portfolio Theory Supports Diversification in an Investment Portfolio to Measure Investment's Performance
A Service of Leibniz-Informationszentrum econstor Wirtschaft Leibniz Information Centre Make Your Publications Visible. zbw for Economics Rasiah, Devinaga Article Post-modern portfolio theory supports diversification in an investment portfolio to measure investment's performance Journal of Finance and Investment Analysis Provided in Cooperation with: Scienpress Ltd, London Suggested Citation: Rasiah, Devinaga (2012) : Post-modern portfolio theory supports diversification in an investment portfolio to measure investment's performance, Journal of Finance and Investment Analysis, ISSN 2241-0996, International Scientific Press, Vol. 1, Iss. 1, pp. 69-91 This Version is available at: http://hdl.handle.net/10419/58003 Standard-Nutzungsbedingungen: Terms of use: Die Dokumente auf EconStor dürfen zu eigenen wissenschaftlichen Documents in EconStor may be saved and copied for your Zwecken und zum Privatgebrauch gespeichert und kopiert werden. personal and scholarly purposes. Sie dürfen die Dokumente nicht für öffentliche oder kommerzielle You are not to copy documents for public or commercial Zwecke vervielfältigen, öffentlich ausstellen, öffentlich zugänglich purposes, to exhibit the documents publicly, to make them machen, vertreiben oder anderweitig nutzen. publicly available on the internet, or to distribute or otherwise use the documents in public. Sofern die Verfasser die Dokumente unter Open-Content-Lizenzen (insbesondere CC-Lizenzen) zur Verfügung gestellt haben sollten, If the documents have been made available under an Open gelten abweichend -
Arbitrage Pricing Theory∗
ARBITRAGE PRICING THEORY∗ Gur Huberman Zhenyu Wang† August 15, 2005 Abstract Focusing on asset returns governed by a factor structure, the APT is a one-period model, in which preclusion of arbitrage over static portfolios of these assets leads to a linear relation between the expected return and its covariance with the factors. The APT, however, does not preclude arbitrage over dynamic portfolios. Consequently, applying the model to evaluate managed portfolios contradicts the no-arbitrage spirit of the model. An empirical test of the APT entails a procedure to identify features of the underlying factor structure rather than merely a collection of mean-variance efficient factor portfolios that satisfies the linear relation. Keywords: arbitrage; asset pricing model; factor model. ∗S. N. Durlauf and L. E. Blume, The New Palgrave Dictionary of Economics, forthcoming, Palgrave Macmillan, reproduced with permission of Palgrave Macmillan. This article is taken from the authors’ original manuscript and has not been reviewed or edited. The definitive published version of this extract may be found in the complete The New Palgrave Dictionary of Economics in print and online, forthcoming. †Huberman is at Columbia University. Wang is at the Federal Reserve Bank of New York and the McCombs School of Business in the University of Texas at Austin. The views stated here are those of the authors and do not necessarily reflect the views of the Federal Reserve Bank of New York or the Federal Reserve System. Introduction The Arbitrage Pricing Theory (APT) was developed primarily by Ross (1976a, 1976b). It is a one-period model in which every investor believes that the stochastic properties of returns of capital assets are consistent with a factor structure. -
The Use of Leveraged Investments to Diversify a Concentrated Position1 by Craig Mccann, Phd, CFA and Dengpan Luo Phd
The Use of Leveraged Investments to Diversify a Concentrated Position1 By Craig McCann, PhD, CFA and Dengpan Luo PhD Introduction Brokerage firms recently recommended that investors holding a concentrated position in a single stock borrow and invest in a portfolio of additional stocks to reduce risk. For example, Merrill Lynch distributed the following2: Five Strategies for Diversifying a Concentrated Position … There are several strategies that may be appropriate for diversifying concentrated positions and reducing a portfolio’s risk. … 2. Borrow Against the Position and Reinvest to Diversify Another strategy is to borrow against your shares – up to 50% of their market value – and invest the loan proceeds in other securities. Borrowing generates liquidity without triggering a tax liability and may not trigger a reporting obligation to your company or the Securities and Exchange Commission. The key to success with this strategy is for the investments affected with borrowed funds to generate a higher return than the loan’s interest rate and result in a more diversified portfolio. The current low cost of borrowing may make this strategy attractive. Of course, borrowing against or margining your portfolio securities entails special risks, including the potential that the securities may be liquidated in the event of market declines. Contrary to Merrill Lynch’s claim, the strategy to borrow against the concentrated position and buy additional securities virtually always increases risk. In this note, we explain the error of this “leveraged diversification” strategy. We also report results of simulations that demonstrate the virtual impossibility of reducing the risk of a concentrated position by leveraged investments in other stocks. -
Portfolio Management Under Transaction Costs
Portfolio management under transaction costs: Model development and Swedish evidence Umeå School of Business Umeå University SE-901 87 Umeå Sweden Studies in Business Administration, Series B, No. 56. ISSN 0346-8291 ISBN 91-7305-986-2 Print & Media, Umeå University © 2005 Rickard Olsson All rights reserved. Except for the quotation of short passages for the purposes of criticism and review, no part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise, without the prior consent of the author. Portfolio management under transaction costs: Model development and Swedish evidence Rickard Olsson Master of Science Umeå Studies in Business Administration No. 56 Umeå School of Business Umeå University Abstract Portfolio performance evaluations indicate that managed stock portfolios on average underperform relevant benchmarks. Transaction costs arise inevitably when stocks are bought and sold, but the majority of the research on portfolio management does not consider such costs, let alone transaction costs including price impact costs. The conjecture of the thesis is that transaction cost control improves portfolio performance. The research questions addressed are: Do transaction costs matter in portfolio management? and Could transaction cost control improve portfolio performance? The questions are studied within the context of mean-variance (MV) and index fund management. The treatment of transaction costs includes price impact costs and is throughout based on the premises that the trading is uninformed, immediate, and conducted in an open electronic limit order book system. These premises characterize a considerable amount of all trading in stocks. -
Revised Standards for Minimum Capital Requirements for Market Risk by the Basel Committee on Banking Supervision (“The Committee”)
A revised version of this standard was published in January 2019. https://www.bis.org/bcbs/publ/d457.pdf Basel Committee on Banking Supervision STANDARDS Minimum capital requirements for market risk January 2016 A revised version of this standard was published in January 2019. https://www.bis.org/bcbs/publ/d457.pdf This publication is available on the BIS website (www.bis.org). © Bank for International Settlements 2015. All rights reserved. Brief excerpts may be reproduced or translated provided the source is stated. ISBN 978-92-9197-399-6 (print) ISBN 978-92-9197-416-0 (online) A revised version of this standard was published in January 2019. https://www.bis.org/bcbs/publ/d457.pdf Minimum capital requirements for Market Risk Contents Preamble ............................................................................................................................................................................................... 5 Minimum capital requirements for market risk ..................................................................................................................... 5 A. The boundary between the trading book and banking book and the scope of application of the minimum capital requirements for market risk ........................................................................................................... 5 1. Scope of application and methods of measuring market risk ...................................................................... 5 2. Definition of the trading book .................................................................................................................................. -
Credit Risk Models
Lecture notes on risk management, public policy, and the financial system Credit risk models Allan M. Malz Columbia University Credit risk models Outline Overview of credit risk analytics Single-obligor credit risk models © 2020 Allan M. Malz Last updated: February 8, 2021 2/32 Credit risk models Overview of credit risk analytics Overview of credit risk analytics Credit risk metrics and models Intensity models and default time analytics Single-obligor credit risk models 3/32 Credit risk models Overview of credit risk analytics Credit risk metrics and models Key metrics of credit risk Probability of default πt defined over a time horizon t, e.g. one year Exposure at default: amount the lender can lose in default For a loan or bond, par value plus accrued interest For OTC derivatives, also driven by market value Net present value (NPV) 0 ( counterparty risk) S → But exposure at default 0 ≥ Recovery: creditor generally loses fraction of exposure R < 100 percent Loss given default (LGD) equals exposure minus recovery (a fraction 1 − R) Expected loss (EL) equals default probability × LGD or fraction πt × (1 − R) Credit risk management focuses on unexpected loss Credit Value-at-Risk related to a quantile of the credit return distribution Differs from market risk in excluding EL Credit VaR at confidence level of α defined as: 1 − α-quantile of credit loss distribution − EL 4/32 Credit risk models Overview of credit risk analytics Credit risk metrics and models Estimating default probabilities Risk-neutral default probabilities based on market