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"This book is remarkable. I expect it to become the anchor reference for people working in the foreign exchange field."
--Richard K. Lyons, Dean and Professor of Finance, Haas School of Business, University of California Berkeley
"It is quite easily the most wide ranging treaty of expertise on the forex market I have ever come across. I will be keeping a copy close to my fingertips."
--Jim O'Neill, Chairman, Goldman Sachs Asset Management
How should we evaluate the forecasting power of models? What are appropriate loss functions for major market participants? Is the exchange rate the only means of adjustment? Handbook of Exchange Rates answers these questions and many more, equipping readers with the relevant concepts and policies for working in today's international economic climate.
Featuring contributions written by leading specialists from the global financial arena, this handbook provides a collection of original ideas on foreign exchange (FX) rates in four succinct sections:
* Overview introduces the history of the FX market and exchange rate regimes, discussing key instruments in the trading environment as well as macro and micro approaches to FX determination.
* Exchange Rate Models and Methods focuses on forecasting exchange rates, featuring methodological contributions on the statistical methods for evaluating forecast performance, parity relationships, fair value models, and flow-based models.
* FX Markets and Products outlines active currency management, currency hedging, hedge accounting; high frequency and algorithmic trading in FX; and FX strategy-based products.
* FX Markets and Policy explores the current policies in place in global markets and presents a framework for analyzing financial crises.
Throughout the book, topics are explored in-depth alongside their founding principles. Each chapter uses real-world examples from the financial industry and concludes with a summary that outlines key points and concepts.
Handbook of Exchange Rates is an essential reference for fund managers and investors as well as practitioners and researchers working in finance, banking, business, and econometrics. The book also serves as a valuable supplement for courses on economics, business, and international finance at the upper-undergraduate and graduate levels.
"This book is remarkable. I expect it to become the anchor reference for people working in the foreign exchange field."
--Richard K. Lyons, Dean and Professor of Finance, Haas School of Business, University of California Berkeley
"It is quite easily the most wide ranging treaty of expertise on the forex market I have ever come across. I will be keeping a copy close to my fingertips."
--Jim O'Neill, Chairman, Goldman Sachs Asset Management
How should we evaluate the forecasting power of models? What are appropriate loss functions for major market participants? Is the exchange rate the only means of adjustment? Handbook of Exchange Rates answers these questions and many more, equipping readers with the relevant concepts and policies for working in today's international economic climate.
Featuring contributions written by leading specialists from the global financial arena, this handbook provides a collection of original ideas on foreign exchange (FX) rates in four succinct sections:
* Overview introduces the history of the FX market and exchange rate regimes, discussing key instruments in the trading environment as well as macro and micro approaches to FX determination.
* Exchange Rate Models and Methods focuses on forecasting exchange rates, featuring methodological contributions on the statistical methods for evaluating forecast performance, parity relationships, fair value models, and flow-based models.
* FX Markets and Products outlines active currency management, currency hedging, hedge accounting; high frequency and algorithmic trading in FX; and FX strategy-based products.
* FX Markets and Policy explores the current policies in place in global markets and presents a framework for analyzing financial crises.
Throughout the book, topics are explored in-depth alongside their founding principles. Each chapter uses real-world examples from the financial industry and concludes with a summary that outlines key points and concepts.
Handbook of Exchange Rates is an essential reference for fund managers and investors as well as practitioners and researchers working in finance, banking, business, and econometrics. The book also serves as a valuable supplement for courses on economics, business, and international finance at the upper-undergraduate and graduate levels.
Preface xxiii
Contributors xxvii
part one Overview
1 Foreign Exchange Market Structure, Players, and Evolution 3
1.1 Introduction, 3
1.2 Geography and Composition of Currency Trading, 4
1.2.1 Which Currencies are Traded? 6
1.2.2 What Instruments are Traded? 9
1.2.3 How is Trading Regulated? 9
1.3 Players and Information in FX Markets, 11
1.3.1 Who Needs Liquidity? 12
1.3.2 Who Provides Liquidity? 15
1.3.3 Asymmetric Information and Exchange Rate Determination, 19
1.4 Electronic Trading Revolution in FX Markets, 21
1.4.1 The Telephone Era, 22
1.4.2 The Rise of the Computer, 22
1.4.3 Recent Developments in Electronic Trading, 30
1.5 Survey of Multibank FX Platforms, 35
1.6 Summary, 38
Glossary, 39
Acknowledgments, 41
References, 42
2 Macro Approaches to Foreign Exchange Determination 45
2.1 Introduction, 45
2.2 Models of the Nominal Exchange Rate, 46
2.2.1 The Monetary Model, 46
2.2.2 Portfolio Balance Models, 49
2.2.3 Empirical Evidence, 51
2.3 Real Models of the Real Exchange Rate, 54
2.3.1 Purchasing Power Parity, 55
2.3.2 Balassa-Samuelson and Productivity-Based Models, 56
2.3.3 Two-Good Models, 59
2.4 New Directions in Exchange-Rate Modeling, 60
2.4.1 Taking Reaction Functions Seriously, 60
2.4.2 The Impact of Financial Globalization, 63
2.4.3 The Risk Premium and Order Flow, 64
2.5 Conclusions, 65
Acknowledgments, 65
References, 66
3 Micro Approaches to Foreign Exchange Determination 73
3.1 Introduction, 73
3.2 Perspectives on Spot-Rate Dynamics, 74
3.2.1 Decomposition of Depreciation Rates, 74
3.2.2 Macro- and Microperspectives, 77
3.3 Currency Trading Models and their Implications, 80
3.3.1 The Portfolio Shifts Model, 81
3.3.2 Empirical Implications, 88
3.4 Exchange Rates, Order Flows, and the Macro Economy, 95
3.4.1 A Micro-Based Macro model, 96
3.4.2 Empirical Implications, 100
3.5 Conclusion, 105
Appendix, 105
3.6 Acknowledgment, 108
References, 108
4 The Exchange Rate in a Behavioral Finance Framework 111
4.1 Introduction, 111
4.1.1 Mainstream Exchange Rate Models, 111
4.1.2 Away from the Mainstream, 113
4.2 Exchange Rate Puzzles, 114
4.2.1 Disconnect Puzzle and Excess Volatility Puzzle, 114
4.2.2 Unit Root Property, 115
4.2.3 Volatility Clustering, 118
4.2.4 Fat-Tailed Distributed Exchange Rate Returns, 119
4.3 A Prototype Behavioral Model of the Foreign Exchange Market, 122
4.4 Conclusion, 127
References, 129
5 The Evolution of Exchange Rate Regimes and Some Future Perspectives 133
5.1 Introduction, 133
5.2 A Brief History of Currency Regimes, 135
5.3 Performance of the Laisser-Faire Exchange Rate System, 1973-2010, 138
5.3.1 Market Discipline, 139
5.3.2 Economic Policy Coordination, 140
5.3.3 Integration of Emerging Market Countries into the Global Economy, 140
5.4 Trends in Currency Use, 141
5.4.1 Global Imbalances and the Financial Crisis of 2007-2009, 143
5.5 Prospects for the Future, 144
5.5.1 The Current System, 144
5.5.2 Toward a more Managed International Monetary System? 146
5.5.3 How and When Will Reform Occur? 150
5.5.4 A Global Nominal Anchor? 151
5.6 Concluding Comments, 153
Appendix A: A Formal Test of Hollowing Out, 154
References, 156
part two Exchange Rate Models and Methods
6 Purchasing Power Parity in Economic History 161
6.1 Introduction, 161
6.2 Categorization of Purchasing-Power-Parity Theories, 162
6.3 Historical Application of PPP: Premodern Periods, 163
6.3.1 Ancient Period, 163
6.3.2 Medieval Period, 164
6.3.3 Sixteenth-Century Spain, 165
6.4 Techniques of Testing PPP Theory in Economic-History Literature, 165
6.4.1 Comparative-Static Computation, 165
6.4.2 Regression Analysis, 165
6.4.3 Testing for Causality, 165
6.4.4 Nonstationarity and Spurious Regression, 166
6.4.5 Testing for Stationarity, 167
6.4.6 Cointegration Analysis, 167
6.5 Price Variable in PPP Computations, 168
6.6 Modern Period: Testing of PPP, 169
6.6.1 Early North America, 169
6.6.2 Bullionist Periods, 170
6.6.3 Floating Rates-Second-Half of Nineteenth Century, 171
6.6.4 Classic Metallic Standards, 172
6.6.5 World War I, 172
6.6.6 Floating Rates-1920s, 173
6.6.7 1930s, 175
6.6.8 Interwar Period, 175
6.6.9 Spain-Long Term, 176
6.6.10 Guatemala-Long Term, 176
6.7 Analysis of U.S. Return to Gold Standard in 1879, 177
6.8 Establishment and Assessment of a Fixed Exchange Rate in Interwar Period, 177
6.8.1 United Kingdom, 177
6.8.2 France, 179
6.9 Conclusions, 180
References, 181
7 Purchasing Power Parity in Tradable Goods 189
7.1 Introduction, 189
7.2 The LOP and Price Indices, 190
7.3 Empirical Evidence on the LOP, 194
7.3.1 Early Tests of the LOP, 194
7.3.2 The Border Effect, 194
7.3.3 Barriers to Arbitrage and Nonlinearities, 195
7.3.4 The Tradable Versus Nontradable Goods Dichotomy, 198
7.3.5 The Aggregation Bias and Micro Price Studies, 199
7.4 Purchasing Power Parity, 200
7.4.1 Transitory and Structural Disparities from Parity, 203
7.5 Aggregating from the LOP to PPP: What Can We Infer? 205
7.5.1 An Eyeball Analysis of PPP, 207
7.6 Conclusion and Implications, 213
Appendix: TAR Modeling, 214
Acknowledgments, 215
References, 215
8 Statistical and Economic Methods for Evaluating Exchange Rate Predictability 221
8.1 Introduction, 221
8.2 Models for Exchange Rate Predictability, 224
8.2.1 A Present Value Model for Exchange Rates, 224
8.2.2 Predictive Regressions, 226
8.3 Statistical Evaluation of Exchange Rate Predictability, 228
8.4 Economic Evaluation of Exchange Rate Predictability, 231
8.4.1 The Dynamic FX Strategy, 231
8.4.2 Mean-Variance Dynamic Asset Allocation, 231
8.4.3 Performance Measures, 232
8.4.4 Transaction Costs, 234
8.5 Combined Forecasts, 235
8.6 Empirical Results, 237
8.6.1 Data on Exchange Rates and Economic Fundamentals, 237
8.6.2 Predictive Regressions, 242
8.6.3 Statistical Evaluation, 244
8.6.4 Economic Evaluation, 249
8.7 Conclusion, 256
Appendix A: The Bootstrap Algorithm, 259
Acknowledgments, 260
References, 260
9 When Are Pooled Panel-Data Regression Forecasts of Exchange Rates More Accurate than the Time-Series Regression Forecasts? 265
9.1 Introduction, 265
9.2 Panel Data Exchange Rate Determination Studies, 267
9.3 Asymptotic Consequences of Pooling, 268
9.3.1 Predictive Regression Estimated on Full Sample, 268
9.3.2 Out-of-Sample Prediction, 271
9.4 Monte Carlo Study, 272
9.5 An Illustration with Data, 275
9.6 Conclusions, 278
References, 279
10 Carry Trades and Risk 283
10.1 Introduction, 283
10.2 The Carry Trade: Basic Facts, 285
10.2.1 What is a Carry Trade? 285
10.2.2 Measuring the Returns to the Carry Trade, 286
10.3 Pricing the Returns to the Carry Trade, 290
10.4 Empirical Findings, 293
10.4.1 Traditional Risk Factors, 293
10.4.2 Factors Derived from Currency Returns, 299
10.5 Time-Varying Risk and Rare Events, 308
10.6 Conclusion, 311
Acknowledgments, 311
References, 311
11 Currency Fair Value Models 313
11.1 Introduction, 313
11.2 Models/Taxonomy, 315
11.2.1 ''Adjusted PPP'': Harrod-Balassa-Samuelson and Penn Effects, 315
11.2.2 The Behavioral Equilibrium Exchange Rate Family of Models, 316
11.2.3 The Underlying Balance (UB) Approach, 320
11.2.4 External Sustainability (ES) Approach, 324
11.2.5 The Natural Real Exchange Rate (NATREX), 325
11.2.6 The Indirect Fair Value (IFV), 325
11.3 Implementation Choices and Model Characteristics, 328
11.3.1 Horizon/Frequency, 329
11.3.2 Direct Econometric Estimation Versus ''Methods of Calculation'', 331
11.3.3 Treatment of External Imbalances , 332
11.3.4 Real Versus Nominal Exchange Rates, 333
11.3.5 Bilateral Versus Effective Exchange Rate, 333
11.3.6 Time Series Versus Cross Section or Panel, 336
11.3.7 Model Maintenance, 336
11.4 Conclusion, 337
Acknowledgments, 338
References, 339
12 Technical Analysis in the Foreign Exchange Market 343
12.1 Introduction, 343
12.2 The Practice of Technical Analysis, 345
12.2.1 The Philosophy of Technical Analysis, 345
12.2.2 Types of Technical Analysis, 346
12.3 Studies of Technical Analysis in the Foreign Exchange Market, 350
12.3.1 Why Study Technical Analysis? 350
12.3.2 Survey Evidence on the Practice of Technical Analysis, 350
12.3.3 Computing Signals and Returns, 351
12.3.4 Early Studies: Skepticism before the Tide Turns, 353
12.3.5 Pattern Recognition, Intraday Data, and Other Exchange Rates, 353
12.4 Explaining The Success of Technical Analysis, 355
12.4.1 Data Snooping, Publication Bias, and Data Mining, 355
12.4.2 Temporal Variation in Trading Rule Returns, 357
12.4.3 Do Technical Trading Returns Compensate Investors for Bearing...
| Erscheinungsjahr: | 2012 |
|---|---|
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Inhalt: | 856 S. |
| ISBN-13: | 9780470768839 |
| ISBN-10: | 0470768835 |
| Sprache: | Englisch |
| Einband: | Gebunden |
| Redaktion: |
James, Jessica
Marsh, Ian Sarno, Lucio |
| Herausgeber: | Jessica James/Ian Marsh/Lucio Sarno |
| Hersteller: |
Wiley
John Wiley & Sons |
| Maße: | 240 x 161 x 50 mm |
| Von/Mit: | Jessica James (u. a.) |
| Erscheinungsdatum: | 03.07.2012 |
| Gewicht: | 1,431 kg |
Preface xxiii
Contributors xxvii
part one Overview
1 Foreign Exchange Market Structure, Players, and Evolution 3
1.1 Introduction, 3
1.2 Geography and Composition of Currency Trading, 4
1.2.1 Which Currencies are Traded? 6
1.2.2 What Instruments are Traded? 9
1.2.3 How is Trading Regulated? 9
1.3 Players and Information in FX Markets, 11
1.3.1 Who Needs Liquidity? 12
1.3.2 Who Provides Liquidity? 15
1.3.3 Asymmetric Information and Exchange Rate Determination, 19
1.4 Electronic Trading Revolution in FX Markets, 21
1.4.1 The Telephone Era, 22
1.4.2 The Rise of the Computer, 22
1.4.3 Recent Developments in Electronic Trading, 30
1.5 Survey of Multibank FX Platforms, 35
1.6 Summary, 38
Glossary, 39
Acknowledgments, 41
References, 42
2 Macro Approaches to Foreign Exchange Determination 45
2.1 Introduction, 45
2.2 Models of the Nominal Exchange Rate, 46
2.2.1 The Monetary Model, 46
2.2.2 Portfolio Balance Models, 49
2.2.3 Empirical Evidence, 51
2.3 Real Models of the Real Exchange Rate, 54
2.3.1 Purchasing Power Parity, 55
2.3.2 Balassa-Samuelson and Productivity-Based Models, 56
2.3.3 Two-Good Models, 59
2.4 New Directions in Exchange-Rate Modeling, 60
2.4.1 Taking Reaction Functions Seriously, 60
2.4.2 The Impact of Financial Globalization, 63
2.4.3 The Risk Premium and Order Flow, 64
2.5 Conclusions, 65
Acknowledgments, 65
References, 66
3 Micro Approaches to Foreign Exchange Determination 73
3.1 Introduction, 73
3.2 Perspectives on Spot-Rate Dynamics, 74
3.2.1 Decomposition of Depreciation Rates, 74
3.2.2 Macro- and Microperspectives, 77
3.3 Currency Trading Models and their Implications, 80
3.3.1 The Portfolio Shifts Model, 81
3.3.2 Empirical Implications, 88
3.4 Exchange Rates, Order Flows, and the Macro Economy, 95
3.4.1 A Micro-Based Macro model, 96
3.4.2 Empirical Implications, 100
3.5 Conclusion, 105
Appendix, 105
3.6 Acknowledgment, 108
References, 108
4 The Exchange Rate in a Behavioral Finance Framework 111
4.1 Introduction, 111
4.1.1 Mainstream Exchange Rate Models, 111
4.1.2 Away from the Mainstream, 113
4.2 Exchange Rate Puzzles, 114
4.2.1 Disconnect Puzzle and Excess Volatility Puzzle, 114
4.2.2 Unit Root Property, 115
4.2.3 Volatility Clustering, 118
4.2.4 Fat-Tailed Distributed Exchange Rate Returns, 119
4.3 A Prototype Behavioral Model of the Foreign Exchange Market, 122
4.4 Conclusion, 127
References, 129
5 The Evolution of Exchange Rate Regimes and Some Future Perspectives 133
5.1 Introduction, 133
5.2 A Brief History of Currency Regimes, 135
5.3 Performance of the Laisser-Faire Exchange Rate System, 1973-2010, 138
5.3.1 Market Discipline, 139
5.3.2 Economic Policy Coordination, 140
5.3.3 Integration of Emerging Market Countries into the Global Economy, 140
5.4 Trends in Currency Use, 141
5.4.1 Global Imbalances and the Financial Crisis of 2007-2009, 143
5.5 Prospects for the Future, 144
5.5.1 The Current System, 144
5.5.2 Toward a more Managed International Monetary System? 146
5.5.3 How and When Will Reform Occur? 150
5.5.4 A Global Nominal Anchor? 151
5.6 Concluding Comments, 153
Appendix A: A Formal Test of Hollowing Out, 154
References, 156
part two Exchange Rate Models and Methods
6 Purchasing Power Parity in Economic History 161
6.1 Introduction, 161
6.2 Categorization of Purchasing-Power-Parity Theories, 162
6.3 Historical Application of PPP: Premodern Periods, 163
6.3.1 Ancient Period, 163
6.3.2 Medieval Period, 164
6.3.3 Sixteenth-Century Spain, 165
6.4 Techniques of Testing PPP Theory in Economic-History Literature, 165
6.4.1 Comparative-Static Computation, 165
6.4.2 Regression Analysis, 165
6.4.3 Testing for Causality, 165
6.4.4 Nonstationarity and Spurious Regression, 166
6.4.5 Testing for Stationarity, 167
6.4.6 Cointegration Analysis, 167
6.5 Price Variable in PPP Computations, 168
6.6 Modern Period: Testing of PPP, 169
6.6.1 Early North America, 169
6.6.2 Bullionist Periods, 170
6.6.3 Floating Rates-Second-Half of Nineteenth Century, 171
6.6.4 Classic Metallic Standards, 172
6.6.5 World War I, 172
6.6.6 Floating Rates-1920s, 173
6.6.7 1930s, 175
6.6.8 Interwar Period, 175
6.6.9 Spain-Long Term, 176
6.6.10 Guatemala-Long Term, 176
6.7 Analysis of U.S. Return to Gold Standard in 1879, 177
6.8 Establishment and Assessment of a Fixed Exchange Rate in Interwar Period, 177
6.8.1 United Kingdom, 177
6.8.2 France, 179
6.9 Conclusions, 180
References, 181
7 Purchasing Power Parity in Tradable Goods 189
7.1 Introduction, 189
7.2 The LOP and Price Indices, 190
7.3 Empirical Evidence on the LOP, 194
7.3.1 Early Tests of the LOP, 194
7.3.2 The Border Effect, 194
7.3.3 Barriers to Arbitrage and Nonlinearities, 195
7.3.4 The Tradable Versus Nontradable Goods Dichotomy, 198
7.3.5 The Aggregation Bias and Micro Price Studies, 199
7.4 Purchasing Power Parity, 200
7.4.1 Transitory and Structural Disparities from Parity, 203
7.5 Aggregating from the LOP to PPP: What Can We Infer? 205
7.5.1 An Eyeball Analysis of PPP, 207
7.6 Conclusion and Implications, 213
Appendix: TAR Modeling, 214
Acknowledgments, 215
References, 215
8 Statistical and Economic Methods for Evaluating Exchange Rate Predictability 221
8.1 Introduction, 221
8.2 Models for Exchange Rate Predictability, 224
8.2.1 A Present Value Model for Exchange Rates, 224
8.2.2 Predictive Regressions, 226
8.3 Statistical Evaluation of Exchange Rate Predictability, 228
8.4 Economic Evaluation of Exchange Rate Predictability, 231
8.4.1 The Dynamic FX Strategy, 231
8.4.2 Mean-Variance Dynamic Asset Allocation, 231
8.4.3 Performance Measures, 232
8.4.4 Transaction Costs, 234
8.5 Combined Forecasts, 235
8.6 Empirical Results, 237
8.6.1 Data on Exchange Rates and Economic Fundamentals, 237
8.6.2 Predictive Regressions, 242
8.6.3 Statistical Evaluation, 244
8.6.4 Economic Evaluation, 249
8.7 Conclusion, 256
Appendix A: The Bootstrap Algorithm, 259
Acknowledgments, 260
References, 260
9 When Are Pooled Panel-Data Regression Forecasts of Exchange Rates More Accurate than the Time-Series Regression Forecasts? 265
9.1 Introduction, 265
9.2 Panel Data Exchange Rate Determination Studies, 267
9.3 Asymptotic Consequences of Pooling, 268
9.3.1 Predictive Regression Estimated on Full Sample, 268
9.3.2 Out-of-Sample Prediction, 271
9.4 Monte Carlo Study, 272
9.5 An Illustration with Data, 275
9.6 Conclusions, 278
References, 279
10 Carry Trades and Risk 283
10.1 Introduction, 283
10.2 The Carry Trade: Basic Facts, 285
10.2.1 What is a Carry Trade? 285
10.2.2 Measuring the Returns to the Carry Trade, 286
10.3 Pricing the Returns to the Carry Trade, 290
10.4 Empirical Findings, 293
10.4.1 Traditional Risk Factors, 293
10.4.2 Factors Derived from Currency Returns, 299
10.5 Time-Varying Risk and Rare Events, 308
10.6 Conclusion, 311
Acknowledgments, 311
References, 311
11 Currency Fair Value Models 313
11.1 Introduction, 313
11.2 Models/Taxonomy, 315
11.2.1 ''Adjusted PPP'': Harrod-Balassa-Samuelson and Penn Effects, 315
11.2.2 The Behavioral Equilibrium Exchange Rate Family of Models, 316
11.2.3 The Underlying Balance (UB) Approach, 320
11.2.4 External Sustainability (ES) Approach, 324
11.2.5 The Natural Real Exchange Rate (NATREX), 325
11.2.6 The Indirect Fair Value (IFV), 325
11.3 Implementation Choices and Model Characteristics, 328
11.3.1 Horizon/Frequency, 329
11.3.2 Direct Econometric Estimation Versus ''Methods of Calculation'', 331
11.3.3 Treatment of External Imbalances , 332
11.3.4 Real Versus Nominal Exchange Rates, 333
11.3.5 Bilateral Versus Effective Exchange Rate, 333
11.3.6 Time Series Versus Cross Section or Panel, 336
11.3.7 Model Maintenance, 336
11.4 Conclusion, 337
Acknowledgments, 338
References, 339
12 Technical Analysis in the Foreign Exchange Market 343
12.1 Introduction, 343
12.2 The Practice of Technical Analysis, 345
12.2.1 The Philosophy of Technical Analysis, 345
12.2.2 Types of Technical Analysis, 346
12.3 Studies of Technical Analysis in the Foreign Exchange Market, 350
12.3.1 Why Study Technical Analysis? 350
12.3.2 Survey Evidence on the Practice of Technical Analysis, 350
12.3.3 Computing Signals and Returns, 351
12.3.4 Early Studies: Skepticism before the Tide Turns, 353
12.3.5 Pattern Recognition, Intraday Data, and Other Exchange Rates, 353
12.4 Explaining The Success of Technical Analysis, 355
12.4.1 Data Snooping, Publication Bias, and Data Mining, 355
12.4.2 Temporal Variation in Trading Rule Returns, 357
12.4.3 Do Technical Trading Returns Compensate Investors for Bearing...
| Erscheinungsjahr: | 2012 |
|---|---|
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Inhalt: | 856 S. |
| ISBN-13: | 9780470768839 |
| ISBN-10: | 0470768835 |
| Sprache: | Englisch |
| Einband: | Gebunden |
| Redaktion: |
James, Jessica
Marsh, Ian Sarno, Lucio |
| Herausgeber: | Jessica James/Ian Marsh/Lucio Sarno |
| Hersteller: |
Wiley
John Wiley & Sons |
| Maße: | 240 x 161 x 50 mm |
| Von/Mit: | Jessica James (u. a.) |
| Erscheinungsdatum: | 03.07.2012 |
| Gewicht: | 1,431 kg |
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