New York May 26, 1995 Morgan Guaranty Trust Company Market Risk Research Scott Howard (1-212) 648-4317 [email protected] page 192 E. How to access and use RiskMetrics Update 1. Data access 2. Implementing a risk management framework This section reviews where users can access the daily RiskMetrics datasets. It also lists and describes the products that a number of firms have developed to incorporate the RiskMetrics methodology and datasets. 3. Third party developers of risk management software 1. Data access 4. Examples disk user guide RiskMetrics files are available through the services listed below. The estimates of volatilities and correlations for the daily and monthly horizons are updated daily using the prior day’s close of business data. The data is usually available by 10:00 a.m. U.S. Eastern Standard Time. The datasets are compressed for DOS, Apple Macintosh, and Unix platforms. The DOS and Apple files are “auto-unstuffing,” i.e., the decompression software is enclosed in the file. Datasets are not updated on official U.S. holidays. Foreign market data for these holidays are included in the following day’s datasets. U.S. market data for U.S. holidays is adjusted according to the EM method described in Section D. EM is also used for missing data in other markets. RiskMetrics datasets are currently available from: Internet/World Wide Web RiskMetrics datasets are updated daily whereas RiskMetrics publications are updated as required. The data is accessible in two distinct ways. For interactive browsing users can access the World Wide Web directly via Mosaic, Netscape, or other equivalent browsers. It is also available through such services as CompuServe, Prodigy, Delphi, and America Online. To obtain the RiskMetrics data via the Web, users can access one of the following URL’s: Home page http://www.jpmorgan.com RiskMetrics http://www.jpmorgan.com/RiskMetrics/RiskMetrics.html Downloads http://www.jpmorgan.com/RiskMetrics/DOWNLOADING/download-data.html The RiskMetrics documentation can be downloaded from the RiskMetrics Report file page (http://www.jpmorgan.com/RiskMetrics/DOWNLOADING/download-docs.html). For automatic retrieval, or for those without access to the Web, the data is also available via anonymous ftp. • Use local ftp client software to connect to ftp.jpmorgan.com/pub/RiskMetrics/ and filename. • Enter anonymous as the user name and your internet ID as the password. • Users should download the file instructions.txt to obtain information about directory layout and where to find specific data. • Follow the instructions for the data you wish to access. page 193 RiskMetrics – Technical Document Third edition CompuServe J.P. Morgan has a forum on the CompuServe Information Service. Clients can dial in from around the globe, generally via a local phone call, and download RiskMetrics datasets and publications. Access to the datasets is available to the public at the first level of this forum. Other parts are available exclusively to J.P. Morgan clients. The only costs are the normal CompuServe connect-time charges for access. Hardware requirements are Macintosh, or DOS/ Windows-based PCs and a high-speed modem (9,600 bps or faster is suggested) for connecting to CompuServe. Software requirements include the CompuServe Information Manager (CIM) software (for Mac or PC) and a CompuServe account ID. Once one has accessed the CompuServe network, enter GO JPM to reach the top level of the JPM forum (see below) or GO JPM -15 or GO JPM-16 to reach the daily or monthly datasets directly. Screen menus used to access the RiskMetrics library. 1. General CompuServe Menu 4. Within the JP Forum Select “JP Morgan RiskMetrics Data and Publications” 2. Accessing the JPM Forum Select the <Services...Go> menu 3. Accessing the JPM Forum Type “GO JPM” 5. Within the RiskMetrics library Click on selections New York May 26, 1995 Morgan Guaranty Trust Company Market Risk Research Scott Howard (1-212) 648-4317 [email protected] Data Services Telerate will distribute via its Telerate Workstation the RiskMetrics dataset into either an Excel spreadsheets or Telerate’s Fixed Income for Windows. The Workstation enables Windows-based PC clients to import into resident applications, offered either by Telerate or other vendors, both market information and the RiskMetrics datasets. page 194 Reuters allows users of their IDN service to receive in logical record format any and all of the RiskMetrics daily and monthly volatility estimates. Subsets of the RiskMetrics volatility and correlation data are also published on the following pages of major news wire services: Bloomberg Subsets of the RiskMetrics dataset can be accessed by typing RMMX Go. Reuters Subsets of the RiskMetrics dataset can be accessed on pages RKMS-Z. Telerate Subsets of the RiskMetrics dataset can be accessed on pages 6733-39 (commodities) and 17379-17389 (Foreign exchange, Government bond zero rates, equity indices). 2. Implementing a risk management framework Setting up a risk management framework within an organization requires more than a quantitative methodology. The following consulting firms have set up capital markets advisory practices to help end users implement effective risk management. All of the firms listed below have reviewed RiskMetrics and can provide support for implementation: Andersen Consulting LLP 1345 Avenue of the Americas, New York, NY 10105 Americas – Steven Mollenkamp (1-212) 708-3829, FAX (1-212) 708-7962, [email protected] Europe - Andrew Marshall (44-171) 438-5721, FAX (44-171) 304-8314 Asia - Tomomichi Tomiie (81-3) 3470-9241 • Risk Integration Services. Andersen Consulting provides its clients with a cohesive set of services to support the continuous linkage and interaction of strategy, people, processes and technology. A key focus is the integration of capabilities across a firm to create an enterprise wide view of risk using common measures such as RiskMetrics. • Vision Architecture. A framework for constructing applications specifically for the financial industry. The architecture is structured along functional lines and addresses key challenges faced by the industry. • Risk Management Practice Aid. Eleven binders of practical risk management system design and implementation aids. This practice aid describes risk management concepts, covering both business issues and design system considerations. • Risk Management Designware. Provides a proven set of design materials covering both market and credit risk management. Included are actual design specifications and sample documents. page 195 RiskMetrics – Technical Document Third edition Price Waterhouse 1177 Avenue of the Americas, New York, NY 10036 Mike Salzberg (1-212) 596-8710 FAX (1-212) 596-8945, [email protected] • Risk Management Primer. Multimedia PC-based application that describes the concept of market risk and its implications for senior management. • Implementation Guide. Practice guidance document describing key considerations in the implementation of a comprehensive risk management framework and infrastructure within a corporate or financial institution (approximately 30 pages). • Risk ToolSet. Modular Windows-based PC system designed to analyze portfolios of financial transactions over a wide array of cash and derivative products across a number of markets. It uses the J.P. Morgan definitions for position maps and it links to the publicly accessible RiskMetrics databases for updates on volatility and correlation estimates. Coopers & Lybrand Plumtree Court, London EC4A 4HT, England Paul Reyniers (44-171) 583-5000 FAX (44-171) 822-4652 1301 Avenue of the Americas, New York, NY 10019 Rocco Maggiotto (1-212) 259-1000 FAX (1-212) 259-1347 • Strategic Risk Management Framework. Comprehensive methodology to develop a strategic risk management framework to support executive management. This structured approach covers all areas of the market, credit and operational risk as well as the development of performance measures and capital allocation policies, providing the context in which RiskMetrics may be used effectively as a strategic risk management tool. • Derivatives Diagnostic. Four-step diagnostic approach that assesses risk and operational controls for derivatives operations, either for dealers or end-users. This provides an evaluation of management and controls against a series of detailed checklists and benchmarks, and provides the basis for identifying priority actions and a longer term program for improving risk management and operational controls. This diagnostic incorporates the G30 and other recommendations and the high level principles underlying the RiskMetrics approach to risk quantification. • ECAM+. An integrated set of client-server software products to support the 1996 Capital Adequacy Directive (CAD) regulatory reporting requirements. These products currently cover Position Risk Requirements, Credit Risk Requirements, and Large Exposures for firms regulated by the SFA or the Bank of England. Enhancements are under development to meet the requirements of the other European regulators. Ernst & Young LLP 750 7th Avenue, New York, NY 10019 Alvi Abuaf (1-212) 773-1255, Edwin Pisano (1-212) 773-2712, David Cannon (44-171) 931-1180 • Systems Implementation and Integration. Define risk management business requirements, select and implement industry leading software packages which incorporate RiskMetrics and meet these requirements. Integrate these packages with front-office, back-office, and accounting systems. Develop and implement custom software as required. • Industry Comparisons. Review risk management and middle office procedures for best practices comparisons, to evaluate regulatory and rating agency expectations, and to make recommendations for improving controls. Assist in structuring risk management roles and responsibilities. Apply best practices for measuring and monitoring all dimensions of risk including market, credit, liquidity, and operational risks. New York May 26, 1995 Morgan Guaranty Trust Company Market Risk Research Scott Howard (1-212) 648-4317 [email protected] page 196 • Management Reporting Practices. Assess the reasonableness of the information management receives. Provide feedback with regard to the adequacy of the information based on standard benchmarks and best practices. • Benching of Valuation Methodologies. Assess the reasonableness of theoretical valuation methodologies through the use of independent pricing models. KPMG 2 Dorset Rise, Blackfriars, London EC4Y 8AE, England Robert Armstrong (44-171) 311-5137, FAX (44-171) 311-5833 • RiskMetrics Review Document. Guidance for KPMG clients on the strengths and weaknesses of the RiskMetrics methodology and comments on its applicability as a risk management tool. This objective document has been reviewed by J.P. Morgan for technical accuracy and is the basis of the RiskMetrics advice and consultancy support provided by KPMG. 3. Third party developers of risk management software “A methodology and the underlying data to apply it will not be sufficient to enable users of RiskMetrics to implement internal market risk measurement and management systems. A number of systems developers have committed to develop risk management estimation and reporting tools based on the RiskMetrics methodology and data. Users will be able to choose from a number of applications which will achieve different goals, offer various levels of performance and run on a number of computer platforms. The list below is a non-comprehensive review of a number of firms who publicly state their applications integrate RiskMetrics, either the methodology, access to the data, or both. J.P. Morgan does not endorse the products of these third party developers nor does it warrant their accuracy in the application of the RiskMetrics methodology and the use of the underlying data accompanying it. Clients should review the capabilities of these systems thoroughly before committing to their implementation.” Algorithmics Incorporated. 822 Richmond Street W., Suite 300, Toronto, Ontario, Canada M6J 1C9 Bob Boettcher (1-416) 703-0898, FAX (1-416) 703-0767, [email protected] • RiskWatch is built around a patented, scenario-based optimization methodology for measuring and reengineering portfolio risk. It allows users to manage risk exposure across a variety of trading operations and isolate the risk reward profile for each underlying market position. RiskWatch also provides “what if” scenario analysis. In addition, it has been designed to cater to Value-at-Risk calculations and incorporate the RiskMetrics dataset. BARRA International Ltd. 1 Whittington Avenue, London, EC3V 1LE, England Andrew Cauldwell (44-171) 283-2255, FAX (44-171) 220-7555 • World Markets Model. Windows-based system enabling clients to enter exposure to RiskMetrics factors. The system displays the risk estimates based on the latest update of RiskMetrics as well as associated analytics (provided to clients via diskette – daily RiskMetrics data updated using the electronic framework BARRALINK). page 197 RiskMetrics – Technical Document Third edition Brady Plc Cambridge Science Park, Milton Road, Cambridge CB4 4WE, England Jayne Knightley (44-1223) 423-250, FAX (44-1223) 420-302, brady 100031,2760 • Trinity. Brady’s Trinity RiskMetrics is a component of the Windows based trading and risk management system. Trinity accepts deal input both manually using the provided deal capture model and electronically through the published FTIS Level 2 API. Trinity can be used to provide risk monitoring functionality both within a derivatives trading operation and globally. Trinity RiskMetrics/1 provides calculations of diversified and undiversified DeaR using equivalent cash flows from trade information as well as uploads of the RiskMetrics dataset. The RiskMetrics module will be available in July 1995. C•ATS Software Inc. 1870 Embarcadero Road, Palo Alto, CA 94303 Rod A. Beckström (1-415) 321-3000, FAX (1-415) 321-3050, [email protected] • FICAD financial objects. Functions and algorithms for DEaR have been implemented in FICAD, an object oriented toolkit designed for financial systems integration. Includes objects for mapping transaction data into standardized positions, reading the RiskMetrics dataset, and performing the algebra required to calculate DEaR. Centre Financial Products Limited One Chase Manhattan Plaza, 42nd floor, New York, NY 10005 Robert A. Lopez (1-212) 898-0150, FAX (1-212) 509-6591 • The Capital Adequacy Model analyzes an entity’s credit risk across a portfolio that includes traditional financial instruments and derivatives, both exchange traded and OTC contracts (interest and currency swaps, caps, quantos, equity index options). Credit exposure is measured by analyzing the impact of various economic events, portfolio growth and counterparty default probabilities utilizing Monte Carlo simulation techniques and RiskMetrics correlation data. • The Value at Risk Model analyzes the simulated movement of cross correlated market risk components utilizing the RiskMetrics datasets. Changes in portfolio value can be reviewed at different confidence intervals. The corresponding output can be reviewed and broken down by counterparty, product type, currency or any other common attribute of the portfolio. EDS Systems and Management SpA Via Carlo Farini 82, 20159 Milano, Italy Marco Pissarello (39-2) 668-921, FAX (39-2) 668-03330 • GFI is an integrated system designed to offer a complete Financial Treasury System based on an organizational model of a bank's Finance Department. The applications modules are focused on the management of trades, on risk measurement and performance analysis for credit risk and market risk. Market risk analysis is performed in any base currency using the RiskMetrics dataset and methodology. The system is based on several servers that perform the management of yield curves, analytics for all clients on the network and on-line computation of VaR trade by trade. Instruments have been designed as objects and the mathematics related to the class of financial instruments relies on the inheritance mechanism. GFI covers most common financial instruments, either exchange traded or OTC. It is a flexible systems able to collect trades from specialized front office systems. It is Unix based and available on Sun or IBM workstations. New York May 26, 1995 Morgan Guaranty Trust Company Market Risk Research Scott Howard (1-212) 648-4317 [email protected] Derivative Strategy 170 West 73rd street, New York, NY 10023 Mark Edwards (1-212) 874-0071, [email protected] page 198 • Getriskdata. A Microsoft Excel function for calculating value at risk numbers from J.P. Morgan’s RiskMetrics database. The disk is “Freeware” and may be copied freely. The function was developed independently of both Microsoft Corporation and J.P. Morgan. An article outlining how to use Getriskdata was published in the December 12, 1994 edition of Derivatives Strategy. Dow Jones/Telerate Harborside Financial Ctr, 600 Plaza Two, Jersey City, NJ 07311 Bernard F. Battista (1-201) 938-5650, FAX (1-201) 938-5455 • Excel spreadsheets on PC. DEaR templates using real time feed update to be used as training material. Can be modified by users to fit individual requirements. • Fixed Income for Windows. Risk management simulation package. FEA 2484 Shattuck Ave, Suite 225, Berkeley, CA 94704-2029 Chris Fehily (1-510) 548-6200, FAX (1-510) 548-0332, [email protected] • Outlook. Outlook is a series of templates, macros, and libraries which work together to produce RiskMetrics VaR estimates. Outlook displays your undiversified and diversified exposures for a specified horizon and confidence interval. Outlook is supported for Microsoft Excel for Windows and Applix spreadsheet for Sun. Outlook supports a wide range of cash and derivative products. Outlook decomposes each instrument of a portfolio into its component cash flows, then maps the cash flows into the standard RiskMetrics vertices. Financialware Pty Ltd. Level 7, 155 George Street, Sydney NSW 2000, Australia Christopher Millhouse (612) 247-8055 • Plato. Is a front and middle office tool designed to measure and manage market risk for both discretionary portfolios and trading positions. FX, money market and bond market physical and derivative products are analyzed using scenario based stress testing, return analysis and optimization. Windows based, PLATO is extremely open, allowing connection to live data feeds, back office products and RiskMetrics data sets. Comprehensive risk measurement is provided using RiskMetrics DEaR and VaR methodology. Infinity Financial Technology Inc. 2001 Landings Drive, Mountain View, CA 94043 Jan Ellison (1-415) 940-6100, FAX (1-415) 964-9844, [email protected] • Montage. Montage provides VaR/DEaR functionality using the RiskMetrics methodology and dataset. Support is provided at the application and class library levels, and uses transaction data stored in the Montage Data Model, a risk management data warehouse. A wide range of interest rate and foreign exchange instruments are supported, and the product is fully extensible. The Fin++ Class Library provides classes for importing J.P. Morgan data files, creating cash flow maps and performing VaR calculations. page 199 RiskMetrics – Technical Document Third edition International Risk Control 3475G Edison Way, Menlo Park, CA 94025 Joshua Sommer (1-415) 323-9494, FAX (1-415) 568-9497, [email protected] • MerX. Since May 1, 1995 International Risk Control, Inc. (IRC) is shipping Version 1.41 of MerX for Windows, its popular foreign exchange pricing, modeling, and analysis software. Version 1.41 will incorporate, for foreign exchange positions, the RiskMetrics methodology of calculating Value-at-Risk. Users of MerX will be able to select between using RiskMetrics volatilities and correlations or statistics calculated using the RiskMetrics methodology from their own data series. Leading Market Technologies 53 Wall Street, 5th Floor, New York, NY 10005 Ericka Stewart (1-212) 858-7770, FAX (1-212) 858-7632, [email protected] • Expo/RiskMetrics. Expo RiskMetrics allows users to generate RiskMetrics compatible volatility and correlation calculations of securities using J.P. Morgan’s methodology, as well as to perform the Daily Earnings at Risk (DEaR) and Value at Risk (VaR) calculations using the RiskMetrics dataset. Users can choose to generate volatilities and correlations using their own underlying data to estimate risks in a set of tradable securities or use the RiskMetrics data which is supplied free of charge by J.P. Morgan. Oy Trema Ab Salomonkatu 17A, FIN-00100 Helsinki, Finland Risto Lehtinen (358) 06859-020 [email protected] • Finance Kit. Finance Kit is an integrated trading, risk management and back office system for money and FX markets, with extensive reporting capabilities and links to various external systems. One of the core principles of Finance Kit is the real-time monitoring of market values and risks associated with a position or a portfolio. Any changes in market variables or transactions immediately show up in Treasury Monitor. The position monitored is any userdefined combination of cash flows belonging to the transactions entered into the systems through Deal Capture. RiskMetrics data will be used to calculate DEaR as another risk measure. Quantec Ltd. City Gate House, 39-45 Finsbury Square, London EC2A 1PX Jason MacQueen (44-171) 972-0303, FAX (44-171) 256-9284 • GPAS. Global Portfolio Analysis Service provides pension fund managers with a global asset allocation tool incorporating the RiskMaster quadratic optimization algorithm. Custom versions of GPAS exist for Treasuries of banks and multinationals (focus on short term risks) and for Central Banks (optimizing currency and interest rate exposure). Renaissance Software Inc. 17 State Street, 20th floor, New York, NY 10004 Michael Seppi (1-212) 344-6900, FAX (1-212) 344-7039, [email protected] • OPUS. The Opus Value-at-Risk application has been developed for multi-currency and multiproduct market risk assessment. Opus VaR incorporates RiskMetrics datasets, and provides an analytically tractable approach for integrating financial instruments with non-linear risk characteristics and various unwinding periods for the calculation of DEaR and total VaR. An integration framework enables the capture of instrument positions from other sources, thereby supporting organization-wide risk assessment. New York May 26, 1995 Morgan Guaranty Trust Company Market Risk Research Scott Howard (1-212) 648-4317 [email protected] Sailfish Systems 150 Broadway, Suite 710, New York, NY 10038 Peter N.C. Davies (1-212) 587-0007, FAX (1-212) 587-0027, [email protected] page 200 • Trading Manager. Designed to identify and quantify market risks of discretionary portfolios down to the individual position level. Positions can be collected from multiple deal capture systems and integrated into a relational database to calculate and store Risk capital utilization. Market risk simulation options includes use of RiskMetrics data. True Risk 165 Queen Street West, Suite 1505, Toronto, Ontario, Canada M5H 2M5 Paul Boore (1-416) 869-1119, FAX (1-416) 865-1116, [email protected] • TrueVaR. TrueVaR calculated DEaR/VaR using the RiskMetrics dataset. It is available as an application and a C++ class library. It covers a wide range of interest rate and foreign exchange instruments, and is easily extendible. The class library provides classes for importing the RiskMetrics data files, creating cash flow maps, performing VaR calculations and showing the results. The product integrates fully with the Montage range of products from Infinity Financial Technology Inc. Wall Street Systems 30 Broad Street, 25th floor, New York, NY 10004 Joseph A. Patrina (1-212) 809-7200, FAX (1-212) 809-7578 Wall Street Systems (WSS) is a true global engine for International Treasury, covering the front, middle, and back offices in one seamless system. Users in different cities all trade of one worldwide WSS database in real-time. The WSS Money at Risk (MAR) module is built within the global engine itself, so that risk figures can be calculated on demand for any portfolio, profit center, city or for all cities. • As dealers transact business through the WSS pricing/deal-capture front end, the MAR server decomposes the underlying cash flows, so that sensitivity levels are already precalculated. The RiskMetrics statistics are then applied without processing delays. • For FX and Interest options, simulation tools are available to measures sensitivity distributions. • Because WSS also manages P&L for each portfolio, risk/return ratios are generated as part of management reports. • Stress testing scenarios are run using client-supplied volatility tables. • In addition to dealer support and market risk management, WSS also handles counterparty credit, accounting, and full back office. This complete offering makes a unified operation possible, without developments of complex interfaces, without clerical dependencies, and without the reconciliation problems which are all encountered when using risk software products which sit outside of the operational engine. page 201 RiskMetrics – Technical Document Third edition 4. RiskMetrics Technical Document examples disk user guide In order to address numerous questions regarding the examples included in previous editions of the RiskMetrics Technical Document, we now include an examples disk. The enclosed disk contains a Microsoft Excel workbook file containing 6 spreadsheets and 1 macro file. The workbook can be used under Excel Version 4.0 or higher. Certain spreadsheets allow the user to modify inputs in order to investigate different scenarios. Others display less functionality. In the latter case, the objective is to provide the user with a detailed illustration of the essential calculations. This workbook and user guide is presented to the experienced user of Microsoft Excel, although we hope the material is meaningful to less experienced users. Please make a duplicate of the Examples.XLW workbook and save at least one copy on your hard drive and at least one copy on a floppy disk. This will allow you to manipulate the enclosed spreadsheet without sacrificing the original format. Opening the “examples.xlw” workbook will show the following file structure: The files listed above relate to the following: File TD Section Description CFMapTD.xls C.2.3 Decomposition of the 10-year benchmark OAT into RiskMetrics vertices CFMap.xls C.2.3 Generic Excel cash flow mapping spreadsheet (users are given flexibility to map standard bullet bonds) FRA.xls C.2.4 Mapping and VaR calculation of a 6x12 French franc FRA FX_Fwd.xls C.1.2 Mapping and VaR calculation of a DEM/USD 1year forward Str_note.xls C.2.4 Mapping and VaR calculation of a 1-year Note indexed to 2-year DEM swap rates FXBase.xls D.3 Generic calculator to convert U.S. dollar based volatilities and correlations to another base currency Examples.XLM Macro sheet that links to buttons on the various spreadsheets New York May 26, 1995 Morgan Guaranty Trust Company Market Risk Research Scott Howard (1-212) 648-4317 [email protected] page 202 CFMapTD.xls & CFMap.xls These two spreadsheets are similar, although CFMap.xls allows the user to change more of the inputs in order to investigate different scenarios, or to perform sensitivity analysis. CFMap.xls allows provides more vertices to which to map the cash flows. Note that only data in red is changeable on all spreadsheets. In CFMapTD.xls, Example Part 1 illustrates the mapping of a single cash flow, while Example Part II illustrates the mapping of the entire bond. To begin mapping on either spreadsheet, enter your chosen data in all cells that display red font. Then click the ‘Create cash flows’ button. Wait for the macro to execute, and then click the ‘Map the cash flows to vertices’ button. This macro routine executes for the final output of Diversified Value at Risk, Market Value, and Percentage of market value. If you wish to print the cash flow mapping output, simply click the ‘Print Mapping’ macro button. FRA.xls This Forward Rate Agreement example is for illustrative purposes only. We encourage the user, however, to manipulate the spreadsheet is such a way as to increase it’s functionality. Changing any spreadsheet, of course, should be done after creating a duplicate workbook. In this spreadsheet, cells are named so that formulae show the inputs to their respective calculations. This naming convention, we hope, increases user friendliness. For example, looking at cell C21 shows the calculation for the FRA rate utilizing the data in 1. Basic Contract Data and data under the Maturity column under 2. FRA Mapping and VaR on 6Jan-95. Cells are named according to the heading under which they fall, or the cell to their left that best describes the data. For example, cell B30 is named Maturity_1, while cell K32 is named Divers_VaR_1. Also note that the RiskMetrics Correlations are named in two-dimensional arrays: cells L30:M31 are named Corr_Matrx_1, while cells L40:N42 are named Corr_Matrx_2. If you have any confusion about the naming convention, simply go to the Formula Define name... command. The Define Name dialogue box will appear, where the cell names are listed in alphabetical order along with their respective cell references. The cells containing the individual VaR calculations (K30, K31, K40, K41, K42) contain the absolute value of the value at risk. In order to calculate the Diversified VaR, however, in cells K32 and K43, we have placed the actual VaR values to the right of the correlation matrices. If you go to cell K32, you will see that the formula makes use of VaR_Array_1, which refers to cells O31:O32. This VaR array contains the actual values of VaR_1 and VaR_2, which are essential to calculating the Divers_VaR_1. Cells O31 and O32 are formatted with white font in order to maintain the clarity of the spreadsheet. Similarly, the calculation in cell K43 utilizes VaR_Array_2, found in cells O40:O42. FX_Fwd.xls This spreadsheet offers some interaction whereby the user can enter data in all red cells. Before examining this spreadsheet, please review the names of the cells in the 1. Basic contract data section in order to better understand the essential calculations. If you have any page 203 RiskMetrics – Technical Document Third edition confusion about the naming convention, simply go to the Formula Define name... command. The Define Name dialogue box will appear, where the cell names are listed in alphabetical order along with their respective cell references. Please note that the Diversified Value at Risk calculation utilizes the var_array input, which refers to cells I33:I35. These cells are formatted in white font in order to maintain the clarity of the worksheet. Str_note.xls This spreadsheet is for illustrative purposes only. Again, we encourage the user to format the spreadsheet for custom use. Please notice that the Diversified VaR calculations make use of VaR_Array1 and VaR_Array2. VaR_Array1 references cells N26:N28, while VaR_Array2 references cells O37:O40. These two arrays are formatted in white font in order to maintain the clarity of the worksheet. If you get confused about the naming convention, simply go to the Formula Define name...command The Define Name dialogue box will appear, where the cell names are listed in alphabetical order along with their respective cell references. New York May 26, 1995 Morgan Guaranty Trust Company Global Research Till M. Guldimann (1-212) 648-6480 [email protected] page 204 Glossary This glossary defines important terms in RiskMetrics Absolute market risk: Risk associated with the change in value of a position or a portfolio resulting from changes in market conditions i.e., yield levels or prices. Adverse move X: Defined in RiskMetrics as 1.65 times the standard error of returns. It is a measure of the most the return will move over a specified time period. ARCH: Autoregressive Conditional Heteroskedascticity. A time series process which models volatility as dependent on past returns. GARCH - Generalized ARCH, models volatility as a function of past returns and past values of volatility. EGARCH – Exponential GARCH, IGARCH – Integrated GARCH. SWARCH – Switching Regime ARCH. Autocorrelation (Serial Correlation): When observations are correlated over time. In other words, the covariance between data recorded on the same series sequentially in time is non-zero. Beta: A volatility measure relating the rate of return on a security with that of its market over time. It is defined as the covariance between a security’s return and the return on the market portfolio divided by the variance of the return of the market portfolio. Bootstrapping: A method to generate random samples from the observed data’s underlying, possibly unknown, distribution by randomly resampling the observed data. The generated samples can be used to compute summary statistics such as the median. In this document, bootstrapping is used to show monthly returns can be generated from data which are sampled daily. CAPM: Capital Asset Pricing Model. A model which relates the expected return on an asset to the expected return on the market portfolio. Cholesky factorization/decomposition: A method to simulation of multivariate normal returns based on the assumption that the covariance matrix is symmetric and positive-definite. Refer to section B.4.1.2. Constant maturity: The process of inducing fixed maturities on a time series of bonds. This is done to account for bonds “rolling down” the yield curve. Decision horizon: The time period between entering and unwinding or revaluing a position. Currently, RiskMetrics offers statistics for 1-day and 1-month horizons. Decay factor: See Lamda. Delta equivalent cash flow: In situations when the underlying cash flows are uncertain (e.g. option), the delta equivalent cash flow is defined as the change in an instrument's fair market value when its respective discount factor changes. These cash flows are used to find the net present value of an instrument. page 205 RiskMetrics – Technical Document Third edition Delta neutral cash flows: These are cash flows that exactly replicate a callable bond’s sensitivity to shifts in the yield curve. A single delta neutral cash flow is the change in the price of the callable bond divided by the change in the value of the discount factor. Duration (Macaulay): The weighted average term of a security’s cash flow. EM algorithm: A statistical algorithm that can estimate parameters of a function in the presence of incomplete data (e.g. missing data). EM stands for Expectation Maximization. Simply put, the missing values are replaced by their expected values given the observed data. Exponential moving average: Applying weights to a set of data points with the weights declining exponentially over time. In a time series context, this results in weighing recent data more than the distant past. GAAP: Generally Accepted Accounting Principles. Historical simulation: A non-parametric method of using past data to make inferences about the future. One application of this technique is to take today’s portfolio and revalue it using past historical price and rates data. Kurtosis: Characterizes relative peakedness or flatness of a given distribution compared to a normal distribution.1 4 N X −x N2 − 2N + 3 i Kx = ∑ ( N − 1)( N − 2)( N − 3) i=1 σ x ( N − 1)(2 N − 3) −3 N( N − 2)( N − 3) Since the unconditional normal distribution has a kurtosis of 3, excess kurtosis is defined as Kx-3. λ Lamda (decay factor): The weight applied in the exponential moving average. It takes a value between 0 and 1. In the RiskMetrics Lamda is 0.94 in the calculation of volatilities and correlations for a 1-day horizons and 0.97 for 1-month horizon. Leptokurtosis (fat tails): The situation where there are more occurrences far away from the mean than predicted by a standard normal distribution. Linear risk (nonlinear): For a given portfolio, when the underlying prices/rates change, the incremental change in the payoff of the portfolio remains constant for all values of the underlying prices/rates. When this does not occur, the risk is said to be nonlinear. Log vs. change returns: For any price or rate Pt, log return is defined as ln(Pt/Pt-1) whereas the change return is defined by (Pt-Pt-1)/Pt-1. For small values of Pt -Pt -1, these two types of returns give very similar results. Also, both expressions can be converted to percentage returns/changes by simply multiplying them by 100. 1 We would like to thank Steven Hellinger of the New York State Banking Department for pointing this formula out for us. New York May 26, 1995 page 206 Morgan Guaranty Trust Company Global Research Till M. Guldimann (1-212) 648-6480 [email protected] Mapping: The process of translating the cash flow of actual positions into standardized position (vertices). Duration, Principal, and cash flow. Mean: A measure of central tendency. Sum of daily rate changes divided by count x= 1 N ∑ Xi N i=1 Mean reversion: When short rates will tend over time return to a long-run value. Modified Duration: An indication of price sensitivity. It is equal to a security’s Macaulay duration divided by one plus the yield. Outliers: Sudden, unexpectedly large rate or price returns. Overlapping data: This occurs when subsequent returns share common data points. An example would be when monthly returns (25-day horizon) are computed on a daily basis. In this instance adjacent returns would share 24 data points. Non parametric: Potential market movements are described by assumed scenarios, not statistical parameters. Parametric: When a functional form for the distribution a set of data points is assumed. For example, when the Normal distribution is used to characterize a set of returns. Principle of expected return: The expected total change in market value of the portfolio over the evaluation period. Relative market risk: Risk measured relative to an index or benchmark Residual risk: The risk in a position that is issue specific. Skewness: Characterizes the degree of asymmetry of the distribution around its mean. Positive skews indicate asymmetric tail extending toward positive values (right-hand side). Negative skewness implies asymmetry toward negative values (left-hand side). Sx = N X −x N ∑ i ( N − 1)( N − 2) i=1 σ x 3 Speed of adjustment: A parameter used in modelling forward rates. It is estimated from past data on short rates. A fast speed of adjustment will result in a forward curve that approaches the long-run rate at a relatively short maturity. Stochastic volatility: Applied in time series models that take volatility as an unobservable random process. Volatility is often modeled as a first order autoregressive process. page 207 RiskMetrics – Technical Document Third edition Standard deviation: Indication of the width of the distribution of changes around the mean. σx = ( 1 N ∑ Xi − x N − 1 i=1 ) 2 Structured Monte Carlo: Using the RiskMetrics covariance matrix and to generate random Normal variates to simulate future price scenarios. Total variance: The variance of the market portfolio plus the variance of the return on an individual asset. Zero mean: When computing sample statistics such as a variance or covariance, setting the mean to an a prior value of zero. This is often done because it is difficult to get a good estimate of the true mean. New York May 26, 1995 Morgan Guaranty Trust Company Global Research Till M. Guldimann (1-212) 648-6480 [email protected] page 208 References Bachelier, L. (1900), Theorie de la Speculation, Paris: Gauthier-Villars. Bartunek, K. and C. Mustafa, (1994), Implied volatility v. GARCH: A comparison of forecasts, Managerial Finance, forthcoming. Becker, Kent G., Joseph E. Finnerty, Alan L. Tucker, The intraday interdependence structure between U.S. and Japanese equity markets, The Journal of Financial Research, Vol. XV, No. 1, 1992 Bera, A., and Higgins, W. (1990). ARCH Estimation, Journal of Economic Surveys, 36,306-359. Blattberg, R., and Gonedes, N. (1974), A comparison of Stable and Student Distributions as Statistical Models for Stock Prices, Journal of Business, 47, 244-280. 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(1965), The Behavior of Stock Market Prices, Journal of Business, 38, 34-105. Fama, E., and French, K. (1988), Permanent and Temporary Components of Stock Prices, Journal of Political Economy, 96, 246-273. Figlewski, Stephen, (1994) Forecasting Volatility using Historical Data. New York University Working Paper, S-94-13. French, K., Schwert, W.G, and Stambaugh, R.F. (1987), Expected Stock Returns and Volatility, Journal of Financial Economics, 19, 3-29. Hansen, L.P., and R. J. Hodrick, (1980), Forward Exchange Rates as Optimal Predictors of Future Spot Rates: An Econometric Analysis, Journal of Political Economy, 829-853. Harvey, A.C., E. Ruiz and N.G. Shepard, (1994), Multivariate Stochastic Variance Models, Review of Economic Studies, 61, 247-264. page 209 RiskMetrics – Technical Document Third edition Heuts, R.M.J, and Rens, S. (1986) Testing Normality When Observations Satisfy a Certain Low Order ARMA- Scheme, Computational Statistics Quarterly , 1, 49-60. Heynen, R., and Kat, H., (1993), Volatility prediction: A comparison of GARCH(1,1), EGARCH(1,1) and Stochastic Volatility model. Mimeograph. Inclan, C., and Tiao, G.C., (1994), Use of Cumulative Sums of Squares for Retrospective Detection of Changes of Variance. Journal of the American Statistical Association, 913-923. Jarque, C.M., and Bera, A.K., (1980), Efficient Tests for Normality, Homoskedasticity and Serial Independence of Regression Residuals, Economic Letters, 6, 255-259. Johnson, Mark E., (1987), Multivariate Statistical Simulation, John Wiley & Sons, New York. Johnson, R.A., and Wichern, D.W., (1992), Applied Multivariate Statistical Analysis, 3rd ed, Prentice-Hall: Englewood Cliffs. Johnston, J., (1984), Econometric Methods. New York: McGraw-Hill. Jorion, P., (1988), On Jump Processes in the Foreign Exchange and Stock Markets, Review of Financial Studies, 62, 281-300. Kempthorne, J., and Vyas, M., (1994). 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(1963), The Variations of Certain Speculative Prices, Journal of Business, 36, 394-419. Merton, R.C. (1980), On Estimating the Expected Return on the Market: An Exploratory Investigation, Journal of Financial Economics, 8, 323-361. Mittnik, S., and Rachev, S.T., (1993), Modeling Asset Returns with Alternative Stable Distributions, Econometric Reviews, 12, 261-330. New York May 26, 1995 Morgan Guaranty Trust Company Global Research Till M. Guldimann (1-212) 648-6480 [email protected] page 210 Nelson, D. B. (1991), Conditional Heterosckedasticity in Asset Returns: A New Approach. Econometrica, 59, 347-370. Pagan, A., and Schwert, G.W., (1990), Alternative Models for Conditional Stock Volatility. Journal of Econometrics, 45, 267-290. Parkinson, M. (1980), The Extreme Value Method for Estimating the Variance of the Rate of Return. Journal of Business, 1, 61-65. Richardson, M. and Smith, T. (1991), Tests of Financial Models in the Presence of Overlapping Observations. 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Taylor, S.J. (1986), Modeling Financial Time Series, John Wiley, Chichester, U.K. Tucker, A. L. (1992), A Reexamination of Finite- and Infinite-Variance Distributions as Models of Daily Stock Returns. Journal of Business and Economic Statistics, 1, 73-81. Warga, Arthur. (1992). Bond Returns, Liquidity, and Missing Data. Journal of Financial and Quantitative Analysis, 27, 605-617. West, K., and Cho, D., (1994), The Predictive Ability of Several Models of Exchange Rate Volatility, NBER Technical Working Paper No. 152. White, H., (1982), Maximum likelihood estimation of unspecified models, Econometrica , 1-16 page 211 RiskMetrics – Technical Document Third edition Look to the J.P. Morgan site on the Internet for updates of these examples or useful new tools If there is no diskette in the pocket below, the examples it contains are available from the Internet web pages The enclosed Excel spreadsheets are intended as a demonstrator of the RiskMetrics market risk management methodology and volatility and correlation datasets. They have been designed as an educational tool and should not be used for the risk estimation of actual portfolio positions. Clients should contact firms specialized in the design of risk management software for the implementation of a market risk estimation system. If you have any questions about the use of this spreadsheet contact your local J.P. Morgan representative or: New York North America Scott Howard (1-212) 648-4317 [email protected] London Europe Benny Cheung (44-71) 325-4210 [email protected] Singapore RiskMetrics Technical Document examples For Microsoft Excel Asia Michael Wilson (65) 326-9901 [email protected] New York May 26, 1995 Morgan Guaranty Trust Company Market Risk Research Scott Howard (1-212) 648-4317 [email protected] RiskMetrics – Technical Document Third edition page 212 RiskMetrics products Worldwide RiskMetrics contacts Introduction to RiskMetrics: A 12-page document which broadly describes the RiskMetrics methodology for measuring market risks. For more information about RiskMetrics, please contact the author or any person listed below: North America New York Jacques Longerstaey (1-212) 648-4936 [email protected] Chicago Michael Moore (1-312) 541-3511 [email protected] RiskMetrics Monitor: A quarterly publication which discusses broad market risk management issues, statistical questions as well as new software products built by third party vendors to support RiskMetrics. San Francisco Paul Schoffelen (1-415) 954-3240 [email protected] Toronto Dawn Desjardins (1-416) 981-9264 [email protected] RiskMetrics datasets: Two sets of daily estimates of future volatilities and correlations of approximately 450 rates and prices – each a total of 100,000+ datapoints. One set is to compute short-term trading risks, the other for medium-term investment risks. Datasets currently cover Foreign Exchange, Government Bond, Swap, and Equity markets in up to 22 currencies. 11 commodities are also included. A RiskMetrics Regulatory dataset which incorporates the latest recommendations from the Basel Committee on the use of internal models to measure market risk is now available. Europe RiskMetrics Directory: A short brochure on where to go for risk management systems and other products related to RiskMetrics. RiskMetrics Databook: A 400-page document which provides statistics and graphs of historical data, volatilities and estimation errors on approximately rate and price series includes in the RiskMetrics dataset and on a key set of correlation series (subsets available to large institutional clients only). London Benny Cheung (44-71) 325-4210 [email protected] Brussels Geert Ceuppens (32-2) 508-8522 [email protected] Paris Ciaran O’Hagan (33-1) 4015-4058 [email protected] Frankfurt Guido Barthels (49-69) 712-4238 [email protected] Milan Roberto Fumagalli (39-2) 774-4230 [email protected] Madrid Jose Luis Albert (34-1) 577-1722 [email protected] Zurich Victor Tschirky (41-1) 206-8686 [email protected] Asia Bond Index Cash Flow Maps: A monthly insert into the Government Bond Index Monitor outlining synthetic cash flow maps of J.P. Morgan’s bond indices. Trouble accessing the Internet? If you encounter any difficulties in either accessing the J.P. Morgan home page on http://www.jpmorgan.com or downloading the RiskMetrics data files, you can call 1-800-JPM-INET in the United States. Singapore Michael Wilson (65) 326-9901 [email protected] Tokyo Yuri Nagai (81-3) 5573-1168 [email protected] Hong Kong Martin Matsui (85-2) 973-5480 [email protected] Australia Debra Robertson (61-2) 551-6200 [email protected] RiskMetrics is based on, but differs significantly from, the market risk management systems developed by J.P. Morgan for its own use. J.P. Morgan does not warrant any results obtained from use of the RiskMetrics data, methodology, documentation or any information derived from the data (collectively the "Data") and does not guarantee its sequence, timeliness, accuracy, completeness or continued availability. The Data is calculated on the basis of historical observations and should not be relied upon to predict future market movements. Examples are for illustrative purposes only; actual risks will vary depending on specific circumstances. The Data is meant to be used with systems developed by third parties. J.P. Morgan does not guarantee the accuracy or quality of such systems. Additional information is available upon request. Information herein is believed to be reliable but J.P. Morgan does not warrant its completeness or accuracy. Opinions and estimates constitute our judgment and are subject to change without notice. Past performance is not indicative of future results. This material is not intended as an offer or solicitation for the purchase or sale of any financial instrument. J.P. Morgan may hold a position or act as market maker in the financial instruments of any issuer discussed herein or act as advisor or lender to such issuer. Morgan Guaranty Trust Company is a member of FDIC and SFA. Copyright 1994 J.P. Morgan & Co. Incorporated. Clients should contact analysts at and execute transactions through a J.P. Morgan entity in their home jurisdiction unless governing law permits otherwise.
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