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The economics of risk and time

The economics of risk and time (7회 대출)

자료유형
단행본
개인저자
Gollier, Christian.
서명 / 저자사항
The economics of risk and time / Christian Gollier.
발행사항
Cambridge, Mass. :   MIT Press,   c2001.  
형태사항
xx, 444 p : ill. ; 24 cm.
ISBN
9780262072151 (hc. : alk. paper) 9780262572248 (pb. : alk. paper)
내용주기
The expected utility model -- Risk aversion -- Change in risk -- The standard portfolio problem -- The equilibrium price risk -- A hyperplane separation theorem -- Log-supermodularity -- Risk aversion with background risk -- The tempering effect of background risk -- Taking multiple risks -- The dynamic investment problem -- Special topics in dynamic finance -- The demand for contingent claims -- Risk on wealth -- Consumption under certainty -- Precautionary saving and prudence -- The equilibrium price of time -- The liquidity constraint -- The saving-portfolio problem -- Disentangling risk and time -- Efficient risk sharing -- The equilibrium price of risk and time -- Searching for the representative agent -- The value of information -- Decision making and information -- Information and equilibrium.
서지주기
Includes bibliographical references (p. [428]-440) and index.
일반주제명
Finance. Financial engineering. Risk. Risk assessment. Risk management.
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001 000000838553
005 20110127191758
008 010208s2001 maua b 001 0 eng
010 ▼a 1030213
020 ▼a 9780262072151 (hc. : alk. paper)
020 ▼a 9780262572248 (pb. : alk. paper)
040 ▼a DLC ▼c DLC ▼d UKM ▼d C#P ▼d IBS ▼d LVB ▼d 211009
049 ▼l 111261767
050 0 0 ▼a HG101 ▼b .G65 2001
082 0 0 ▼a 658.15/5 ▼2 22
084 ▼a 658.155 ▼2 DDCK
090 ▼a 658.155 ▼b G626e
100 1 ▼a Gollier, Christian.
245 1 4 ▼a The economics of risk and time / ▼c Christian Gollier.
260 ▼a Cambridge, Mass. : ▼b MIT Press, ▼c c2001.
300 ▼a xx, 444 p : ▼b ill. ; ▼c 24 cm.
504 ▼a Includes bibliographical references (p. [428]-440) and index.
505 0 ▼a The expected utility model -- Risk aversion -- Change in risk -- The standard portfolio problem -- The equilibrium price risk -- A hyperplane separation theorem -- Log-supermodularity -- Risk aversion with background risk -- The tempering effect of background risk -- Taking multiple risks -- The dynamic investment problem -- Special topics in dynamic finance -- The demand for contingent claims -- Risk on wealth -- Consumption under certainty -- Precautionary saving and prudence -- The equilibrium price of time -- The liquidity constraint -- The saving-portfolio problem -- Disentangling risk and time -- Efficient risk sharing -- The equilibrium price of risk and time -- Searching for the representative agent -- The value of information -- Decision making and information -- Information and equilibrium.
650 0 ▼a Finance.
650 0 ▼a Financial engineering.
650 0 ▼a Risk.
650 0 ▼a Risk assessment.
650 0 ▼a Risk management.

소장정보

No. 소장처 청구기호 등록번호 도서상태 반납예정일 예약 서비스
No. 1 소장처 중앙도서관/서고7층/ 청구기호 658.155 G626e 등록번호 111608493 (4회 대출) 도서상태 대출가능 반납예정일 예약 서비스 B M
No. 2 소장처 중앙도서관/교육보존A/6 청구기호 658.155 G626e 등록번호 111261767 (4회 대출) 도서상태 대출가능 반납예정일 예약 서비스 B M

컨텐츠정보

책소개

Winner, 2003 Kulp-Wright Book Award from the American Risk and Insurance Association (ARIA) and Awarded the 2001 Paul A. Samuelson Award presented by the TIAA-CREF Institute for Outstanding Scholarly Writing on Lifelong Financial Security

This book updates and advances the theory of expected utility as applied to risk analysis and financial decision making. Von Neumann and Morgenstern pioneered the use of expected utility theory in the 1940s, but most utility functions used in financial management are still relatively simplistic and assume a mean-variance world. Taking into account recent advances in the economics of risk and uncertainty, this book focuses on richer applications of expected utility in finance, macroeconomics, and environmental economics.

The book covers these topics: expected utility theory and related concepts; the standard portfolio problem of choice under uncertainty involving two different assets; P the basic hyperplane separation theorem and log-supermodular functions as technical tools for solving various decision-making problems under uncertainty; s choice involving multiple risks; the Arrow-Debreu portfolio problem; consumption and saving; the equilibrium price of risk and time in an Arrow-Debreu economy; and dynamic models of decision making when a flow of information on future risks is expected over time. The book is appropriate for both students and professionals. Concepts are presented intuitively as well as formally, and the theory is balanced by empirical considerations. Each chapter concludes with a problem set.


정보제공 : Aladin

목차


CONTENTS

Preface = xv

Acknowledgments = xix

Ⅰ General Theory = 1

 1 The Expected Utility Model = 3

  1.1 Simple and Compound Lotteries = 3

  1.2 Axioms on Preferences under Uncertainty = 4

  1.3 The Expected Utility Theorem = 6

  1.4 Critics of the Expected Utility Model = 9

   1.4.1 The Allais Paradox = 10

   1.4.2 The Allais Paradox and Time Consistency = 11

  1.5 Concluding Remark = 14

  1.6 Exercises and Extensions = 14

 2 Risk Aversion = 17

  2.1 Characterization of Risk Aversion = 17

  2.2 Comparative Risk Aversion = 18

  2.3 Certainty Equivalent and Risk Premium = 20

  2.4 The Arrow-Pratt Approximation = 21

  2.5 Decreasing Absolute Risk Aversion = 24

  2.6 Some Classical Utility Functions = 25

  2.7 Test for Your Own Degree of Risk Aversion = 29

  2.8 An Application : The Cost of Macroeconomic Risks = 32

  2.9 Conclusion = 34

  2.10 Exercises and Extensions = 35

 3 Change in Risk = 39

  3.1 The Extremal Approach = 40

  3.2 Second-Order Stochastic Dominance = 42

  3.3 Diversification = 45

  3.4 First-Order Stochastic Dominance = 46

  3.5 Concluding Remark = 47

  3.6 Exercises and Extensions = 48

Ⅱ The Standard Portfolio Problem = 51

 4 The Standard Portfolio Problem = 53

  4.1 The Model and Its Basic Properties = 53

  4.2 The Case of a Small Risk = 55

  4.3 The Case of HARA Functions = 57

  4.4 The Impact of Risk Aversion = 58

  4.5 The Impact of a Change in Risk = 59

  4.6 Concluding Remark = 61

  4.7 Exercises and Extensions = 62

 5 The Equilibrium Price of Risk = 65

  5.1 A Simple Equilibrium Model for Financial Markets = 65

  5.2 The Equity Premium Puzzle = 68

  5.3 The Equity Premium with Limited Participation = 71

  5.4 The Equity Premium and the Integration of International Financial Markets = 73

  5.5 Conclusion = 75

  5.6 Exercises = 76

Ⅲ Some Technical Tools and Their Applications = 79

 6 A Hyperplane Separation Theorem = 81

  6.1 The Diffidence Theorem = 81

  6.2 Link with the Jensen's Inequality = 88

  6.3 Applications of the Diffidence Theorem = 89

   6.3.1 Diffidence = 89

   6.3.2 Comparative Diffidence = 90

   6.3.3 Central Risk Aversion = 91

   6.3.4 Central Riskiness = 92

  6.4 The Covariance Rule = 94

  6.5 Conclusion = 95

  6.6 Exercises and Extensions = 96

 7 Log-Supermodularity = 99

  7.1 Definition = 99

  7.2 Log-Supermodularity and Single Crossing = 102

   7.2.1 A Theoretical Result = 102

   7.2.2 Applications to the Standard Portfolio Problem = 103

   7.2.3 Jewitt's Preference Orders = 104

  7.3 Expectation of a Log-Supermodular Function = 105

   7.3.1 A Theoretical Result = 105

   7.3.2 Two Applications = 106

  7.4 Concluding Remark = 107

  7.5 Exercises and Extensions = 107

  7.6 Appendix = 108

Ⅳ Multiple Risks = 111

 8 Risk Aversion with Background Risk = 113

  8.1 Preservation of DARA = 114

  8.2 The Comparative Risk Aversion Is Not Preserved = 117

  8.3 Extensions with Dependent Background Risk = 119

   8.3.1 Affiliated Background Risk = 119

   8.3.2 The Comparative Risk Aversion in the Sense of Ross = 121

  8.4 Conclusion = 123

  8.5 Exercises and Extensions = 124

 9 The Tempering Effect of Background Risk = 125

  9.1 Risk Vulnerability = 126

  9.2 Risk Vulnerability and Increase in Risk = 130

   9.2.1 Increase in Background Risk = 130

   9.2.2 Increase in the Endogenous Risk = 130

  9.3 Risk Vulnerability and the Equity Premium Puzzle = 131

  9.4 Generalized Risk Vulnerability = 132

  9.5 Standardness = 135

  9.6 Conclusion = 138

  9.7 Exercises and Extensions = 139

 10 Taking Multiple Risks = 141

  10.1 The Interaction between Asset Demand and Small Gambles = 142

  10.2 Are Independent Assets Substitutes? = 144

   10.2.1 The i.i.d. Case = 144

   10.2.2 The General Case = 150

  10.3 Conclusion = 153

  10.4 Exercises and Extensions = 153

 11 The Dynamic Investment Problem = 155

  11.1 Static versus Dynamic Optimization = 157

  11.2 The Standard Portfolio Problem = 158

   11.2.1 The Model = 158

   11.2.2 The HARA Case = 160

   11.2.3 A Sufficient Condition for Younger People to Be More Risk-Averse = 161

  11.3 Discussion of the Results = 165

   11.3.1 Nonlinear Risk Tolerance = 165

   11.3.2 Nondifferentiable Marginal Utility = 166

  11.4 Background Risk and Time Horizon = 168

   11.4.1 Investors Bear a Background Risk at Retirement = 168

   11.4.2 Stationary Income Process = 171

  11.5 Final Remark = 172

  11.6 Exercises and Extensions = 173

 12 Special Topics in Dynamic Finance = 175

  12.1 The Length of Periods between Trade = 175

  12.2 Dynamic Discrete Choice = 179

  12.3 Constraints on Feasible Strategies = 183

  12.4 The Effect of a Leverage Constraint = 185

   12.4.1 The Case of a Lower Bound on the Investment in the Risky Asset = 185

   12.4.2 The Case of an Upper Bound on the Investment in the Risky Asset = 187

  12.5 Concluding Remarks = 190

  12.6 Exercises and Extensions = 190

Ⅴ The Arrow-Debreu Portfolio Problem = 193

 13 The Demand for Contingent Claims = 195

  13.1 The Model = 196

  13.2 Characterization of the Optimal Portfolio = 197

  13.3 The Impact of Risk Aversion = 200

  13.4 Conclusion = 201

  13.5 Exercises and Extensions = 202

 14 Risk on Wealth = 205

  14.1 The Marginal Propensity to Consume in State π = 206

  14.2 The Preservation of DARA and IARA = 208

  14.3 The Marginal Value of Wealth = 210

  14.4 Aversion to Risk on Wealth = 211

  14.5 Concluding Remark = 212

  14.6 Exercises and Extensions = 212

Ⅵ Consumption and Saving = 215

 15 Consumption under Certainty = 217

  15.1 Time Separability = 217

  15.2 Exponential Discounting = 218

  15.3 Consumption Smoothing under Certainty = 219

  15.4 Analogy with the Portfolio Problem = 221

  15.5 The Social Cost of Volatility = 224

  15.6 The Marginal Propensity to Consume = 226

  15.7 Time Diversification and Self-Insurance = 227

  15.8 Concluding Remark = 232

  15.9 Exercises and Extensions = 232

 16 Precautionary Saving and Prudence = 235

  16.1 Prudence = 235

  16.2 The Demand for Saving = 239

  16.3 The Marginal Propensity to Consume under Uncertainty = 239

   16.3.1 Does Uncertainty Increase the MPC? = 240

   16.3.2 Does Uncertainty Make the MPC Decreasing in Wealth? = 241

  16.4 More Than Two Periods = 242

   16.4.1 The Euler Equation = 242

   16.4.2 Multiperiod Precautionary Saving = 244

  16.5 Illiquid Saving under Uncertainty = 246

  16.6 Conclusion = 247

  16.7 Exercises and Extensions = 248

 17 The Equilibrium Price of Time = 249

  17.1 Description of the Economy = 250

  17.2 The Determinants of the Interest Rate = 252

   17.2.1 The Interest Rate in the Absence of Growth = 252

   17.2.2 The Effect of a Sure Growth = 253

   17.2.3 The Effect of Uncertainty = 254

  17.3 The Risk-Free Rate Puzzle = 256

  17.4 The Yield Curve = 258

   17.4.1 The Pricing Formula = 258

   17.4.2 The Yield Curve with HARA Utility Functions = 260

   17.4.3 A Result When There Is No Risk of Recession = 261

   17.4.4 Exploring the Slope of the Yield Curve When There Is a Risk of Recession = 264

  17.5 Concluding Remark = 267

  17.6 Exercises and Extensions = 268

 18 The Liquidity Constraint = 269

  18.1 Saving as a Buffer Stock = 270

  18.2 The Liquidity Constraint Raises Risk Aversion = 272

  18.3 The Liquidity Constraint and the Shape of Absolute Risk Tolerance = 273

  18.4 Numerical Simulations = 277

  18.5 Conclusion = 279

  18.6 Exercises and Extensions = 281

 19 The Saving-Portfolio Problem = 285

  19.1 Precautionary Saving with an Endogenous Risk = 285

   19.1.1 The Case of Complete Markets = 285

   19.1.2 The Case of the Standard Portfolio Problem = 287

   19.1.3 Discussion of the Results = 288

  19.2 Optimal Portfolio Strategy with Consumption = 290

  19.3 The Merton-Samuelson Model = 291

  19.4 Concluding Remark = 295

  19.5 Exercises and Extensions = 295

 20 Disentangling Risk and Time = 297

  20.1 The Model of Kreps and Porteus = 298

  20.2 Preferences for an Early Resolution of Uncertainty = 299

  20.3 Prudence with Kreps-Porteus Preferences = 300

  20.4 Conclusion = 302

  20.5 Exercises and Extensions = 303

Ⅶ Equilibrium Prices of Risk and Time = 305

 21 Efficient Risk Sharing = 307

  21.1 The Case of a Static Exchange Economy = 307

  21.2 The Mutuality Principle = 309

  21.3 The Sharing of the Social Risk = 311

   21.3.1 Decomposition of the Problem = 311

   21.3.2 The Veil of Ignorance = 312

   21.3.3 Efficient Sharing Rules of the Macro Risk = 312

   21.3.4 A Two-Fund Separation Theorem = 314

   21.3.5 The Case of Small Risk per Capita = 315

  21.4 Group's Attitude toward Risk = 316

   21.4.1 The Representative Agent = 316

   21.4.2 Arrow-Lind Theorem = 317

   21.4.3 Group Decision and Individual Choice = 317

  21.5 Introducing Time and Investment = 319

  21.6 A Final Remark : The Concavity of the Certainty Equivalent Functional = 321

  21.7 Conclusion = 323

  21.8 Exercises and Extensions = 323

  21.9 Appendix = 325

 22 The Equilibrium Price of Risk and Time = 327

  22.1 An Arrow-Debreu Economy = 327

  22.2 Application of the First Theorem of Welfare Economics = 328

  22.3 Pricing Arrow-Debreu Securities = 329

  22.4 Pricing by Arbitrage = 330

  22.5 The Competitive Price of Risk = 332

  22.6 The Competitive Price of Time = 334

  22.7 Spot Markets and Markets for Futures = 335

  22.8 Corporate Finance in an Arrow-Debreu Economy = 337

  22.9 Conclusion = 339

  22.10 Exercises and Extensions = 340

 23 Searching for the Representative Agent = 343

  23.1 Analytical Solution to the Aggregation Problem = 344

  23.2 Wealth Inequality, Risk Aversion, and the Equity Premium = 345

  23.3 Wealth Inequality and the Risk-Free Rate = 347

   23.3.1 The Consumption Smoothing Effect = 348

   23.3.2 The Precautionary Effect = 349

  23.4 Conclusion = 351

  23.5 Exercises and Extensions = 352

Ⅷ Risk and Information = 355

 24 The Value of Information = 357

  24.1 The General Model of Risk and Information = 357

   24.1.1 Structure of Information = 357

   24.1.2 The Decision Problem = 358

   24.1.3 The Posterior Maximum Expected Utility Is Convex in the Vector of Posterior Probabilities = 359

  24.2 The Value of Information Is Positive = 362

  24.3 Refining the Information Structure = 364

   24.3.1 Definition and Basic Characterization = 364

   24.3.2 Garbling Messages and the Theorem of Blackwell = 366

   24.3.3 Location Experiments = 371

  24.4 The Value of Information and Risk Aversion = 373

   24.4.1 A Definition of the Value of Information = 373

   24.4.2 A Simple Illustration : The Gambler's Problem = 374

   24.4.3 The Standard Portfolio Problem = 378

  24.5 Conclusion = 379

  24.6 Exercises and Extensions = 380

  24.7 Appendix = 382

 25 Decision Making and Information = 383

  25.1 A Technique for the Comparative Statics of More Informativeness = 383

  25.2 The Portfolio-Saving Problem = 386

  25.3 A Digression : Scientific Uncertainty, Global Warming, and the "Precautionary Principle" = 389

  25.4 The Saving Problem with Uncertain Returns = 390

  25.5 Precautionary Saving = 392

  25.6 The Value of Flexibility and Option Value = 393

  25.7 Predictability and Portfolio Management = 397

   25.7.1 Exogenous Predictability = 399

   25.7.2 Endogenous Predictability and Mean-Reversion = 400

  25.8 Conclusion = 405

  25.9 Exercises and Extensions = 405

 26 Information and Equilibrium = 407

  26.1 Hirshleifer Effect = 407

  26.2 Information and the Equity Premium = 413

  26.3 Conclusion = 418

  26.4 Exercises and Extensions = 418

  26.5 Appendix = 420

 27 Epilogue = 423

  27.1 The Important Open Questions = 423

   27.1.1 The Independence Axiom = 423

   27.1.2 Measures of Risk Aversion = 425

   27.1.3 Qualitative Properties of the Utility Function = 425

   27.1.4 Economics of Uncertainty and Psychology = 426

  27.2 Conclusion = 427

Bibliography = 429

Index of Lemmas and Propositions = 441

Index of Subjects = 443



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