
Economic Modeling and Inference
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- Covers identification and estimation of dynamic programming models
- Treats sources of error--measurement error, random utility, and imperfect control
- Features financial applications including asset pricing, option pricing, and optimal hedging
- Describes labor applications including job search, equilibrium search, and retirement
- Illustrates the wide applicability of the approach using micro, macro, and marketing examples
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Content
- Cover Page
- Half-title Page
- Title Page
- Copyright Page
- Dedication Page
- Contents
- Preface
- 1. Introduction
- 1.1 Expected Utility Theory
- 1.2 Uncertainty Aversion, Ellsberg and Allais
- 1.3 Structural Versus Reduced-Form Methods
- 1.4 Exercises
- 1.5 References
- 2. Components of a Dynamic Programming Model
- 2.1 Examples
- 2.2 Data Configurations
- 2.3 The Objective Function
- 2.4 The State Variables
- 2.5 The Control Variables
- 2.6 The Transition Distribution
- 2.7 The Curse of Dimensionality
- 2.8 The Curse of Degeneracy
- 2.9 Exercises
- 2.10 References
- 3. Discrete States and Controls
- 3.1 Solving DP Problems: Finite Horizon
- 3.2 Solving DP Problems: Infinite Horizon
- 3.2.1 The Method of Successive Approximation
- 3.2.2 The Method of Policy Iteration
- 3.3 Identification: A Preview
- 3.4 Exercises
- 3.5 References
- 4. Likelihood Functions for Discrete State/Control Models
- 4.1 Likelihood with Complete Observability
- 4.2 Measurement Error
- 4.3 Imperfect Control
- 4.4 Conclusions
- 4.5 Exercises
- 4.6 References
- 5. Random Utility Models
- 5.1 Introduction
- 5.2 The Value Function
- 5.3 A Binary Utility Shock
- 5.4 A Continuously Distributed Utility Shock
- 5.5 Choice Probabilities
- 5.6 Dynamic Continuous Random Utility
- 5.7 Exercises
- 5.8 References
- 6. Continuous States, Discrete Controls
- 6.1 Introduction
- 6.2 Transition Distributions and Utility
- 6.3 The Value Function and Backward Recursion
- 6.4 Example: Exercising an American Option
- 6.5 Infinite Horizon: Contraction and Forward Recursion
- 6.6 Example: Optimal Stopping in Discrete Time
- 6.7 Exercises
- 6.8 References
- 7. Econometric Framework for the Search Model
- 7.1 The Search Model
- 7.2 Likelihood: General Considerations
- 7.3 Likelihood: Specifics for Wage Data
- 7.3.1 Wage Data Alone-One Parameter
- 7.3.2 Wage Data-Two Parameters
- 7.3.3 Wage Data Alone-Offer Arrival Probability
- 7.4 Likelihood: Wage and Duration Data
- 7.4.1 Wage and Duration Data-Two Parameters
- 7.4.2 Wage and Duration Data-Three Parameters
- 7.4.3 Wage and Duration Data-Gamma Distribution
- 7.5 Exercises
- 7.6 References
- 8. Exact Distribution Theory for the Job Search Model
- 8.1 Introduction
- 8.2 The Prototypal Search Model
- 8.3 Alternative Economic Parametrizations
- 8.4 Models for Joint Wage and Duration Data
- 8.5 Conclusion
- 8.6 Exercises
- 8.7 References
- 9. Measurement Error in the Prototypal Job Search Model
- 9.1 Introduction
- 9.2 The Prototypal Search Model
- 9.3 The Prototypal Model with Measurement Errors
- 9.4 Characterizing the Distribution of Measurement Errors
- 9.5 Estimation in the Prototypal Model with Measurement Errors
- 9.6 Application to the SIPP Data Set
- 9.7 Conclusions
- 9.8 Exercises
- 9.9 References
- 10. Asset Markets
- 10.1 Introduction
- 10.2 General Asset Pricing
- 10.3 The Term Structure of Interest Rates
- 10.4 Forward Contracts
- 10.5 Futures Contracts
- 10.6 Introduction to Options
- 10.7 The Binomial Method
- 10.8 Empirical Applications
- 10.8.1 Time Series Properties
- 10.8.2 Portfolio Models
- 10.8.3 Time-Varying Volatility
- 10.8.4 Term Structure Analysis
- 10.9 Exercises
- 10.10 References
- 11. Financial Options
- 11.1 Introduction
- 11.2 Financial Option Exercise and Job Search
- 11.3 Multiple Finite-Horizon Options
- 11.4 Markov Stock Prices
- 11.5 Value Functions for American Options
- 11.6 Option Price Data
- 11.7 Testing Option Market Efficiency
- 11.8 Exercises
- 11.9 References
- 12. Retirement
- 12.1 Introduction
- 12.2 A Simple Retirement Model
- 12.3 The Likelihood Function
- 12.4 Longitudinal Data
- 12.5 Regularizing the Likelihood
- 12.6 Generalizations
- 12.7 Alternative Models
- 12.8 Application: The Joint Retirement of Married Couples
- 12.9 Exercises
- 12.10 References
- 13. Continuous States and Controls
- 13.1 Introduction
- 13.2 The Linear-Quadratic Model: Finite Horizon
- 13.2.1 An Application: Macroeconomic Control
- 13.2.2 Rational Expectations
- 13.3 The Linear-Quadratic Model: Infinite Horizon
- 13.3.1 Application: Macro Policy with Rational Expectations
- 13.4 Estimation of Linear-Quadratic Models
- 13.4.1 The Curse of Degeneracy
- 13.4.2 Sources of Noise
- 13.4.3 Measurement Error
- 13.4.4 Imperfect Control
- 13.4.5 Random Utility
- 13.5 The General (Non-LQ) Case
- 13.6 Smoothness: Euler Equations
- 13.7 Discussion and Examples
- 13.8 Random Utility in the General Case
- 13.9 Exercises
- 13.10 References
- 14. Continuous-Time Models
- 14.1 Introduction
- 14.2 Optimal Stopping in Continuous Time
- 14.3 A Jump Process Application: Allocation of Time over Time
- 14.4 Dynamic Consumption and Portfolio Choice
- 14.5 Application: Changing Investment Opportunities
- 14.6 Derivatives, Hedging, and Arbitrage Pricing
- 14.7 Stochastic Volatility and Jumps
- 14.8 The Term Structure of Interest Rates in Continuous Time
- 14.9 Exercises
- 14.10 References
- 15. Microeconomic Applications
- 15.1 Introduction
- 15.2 Bus Engine Replacement
- 15.3 Aircraft Engine Maintenance
- 15.4 Medical Treatment and Absenteeism
- 15.5 Nuclear Power Plant Operation
- 15.6 Fertility and Child Mortality
- 15.7 Costs of Price Adjustment
- 15.8 Schooling, Work, and Occupational Choice
- 15.9 Renewal of Patents
- 15.10 Marketing-Direct Mailing of Catalogs
- 15.11 Scrapping Subsidies and Automobile Purchases
- 15.12 On-the-Job Search and the Wage Distribution
- 15.13 Exercises
- 15.14 References
- 16. Macroeconomic Applications
- 16.1 Consumption as a Random Walk
- 16.2 Consumption and Asset Returns
- 16.3 Dynamic Labor Demand
- 16.4 Time Inconsistency of Optimal Plans
- 16.5 Time to Build
- 16.6 Nonseparable Utility
- 16.7 Preferences of Monetary Authorities
- 16.8 Dynamic Labor Supply
- 16.9 Effects of U.S. Farm Subsidies
- 16.10 Exercises
- 16.11 References
- 17. Finance Application: Futures Hedging
- 17.1 Hedging Strategies
- 17.2 Self-Financing Trading Strategies
- 17.3 Estimation
- 17.4 Exercises
- 17.5 References
- 18. Intertemporal Asset Pricing
- 18.1 Introduction
- 18.2 Prices and Returns
- 18.3 Capital Asset Pricing Model
- 18.4 Estimation
- 18.5 A Structural Model
- 18.6 Asset Pricing Puzzles
- 18.7 Exercises
- 18.8 References
- 19. Dynamic Equilibrium: The Search Model
- 19.1 Introduction
- 19.2 Homogeneous Equilibrium Search
- 19.3 Data Distribution and Likelihood
- 19.4 Panels with Partially Missing Observations
- 19.4.1 The Contribution of Unemployment Duration
- 19.4.2 The Contribution of Wages
- 19.4.3 The Contribution of Employment Duration
- 19.4.4 A Numerical Example
- 19.5 Geometric Information Decomposition
- 19.5.1 Destination State Information
- 19.6 Data and Summary Statistics
- 19.7 Empirical Results
- 19.8 Conclusion
- 19.9 Exercises
- 19.10 References
- 20. Dynamic Equilibrium: Search Equilibrium Extensions
- 20.1 Introduction
- 20.2 Measurement Error in Wages
- 20.3 Heterogeneity in Productivity: The Discrete Case
- 20.4 Heterogeneity in Productivity: The Continuous Case
- 20.5 Conclusion
- 20.6 Exercises
- 20.7 References
- Appendix: Brief Review of Statistical Theory
- A.1 Introduction
- A.2 Exponential Families
- A.3 Maximum Likelihood
- A.4 Classical Theory of Testing
- References
- Index
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