Dillon, John L. The Analysis of Response in Crop and Livestock
Production (New York: Pergamon Press, 1979).
Unfortunately, the first two references are out of print. Therefore, copies of the relevant sections of these books will be left in
the secretarial office at 1120 McCarty Hall. In addition to these references, other readings from the literature will also be required.
The most current copy of the reading list as well as lecture notes will be available on the internet at
http://128.227.113.185/aeb6182.risk/syllbus.html.To facilitate classroom discussion I have a established a teaching bulletin board at
http://ricardo.ifas.ufl.edu/cgi-bin/YaBB/YaBB.cgi
Computing: The software used in this course are available
on either my DEC Alpha/OSF workstation or the department network.
OSF is a variant of Unix and can be operated with Xwin, a Windows
terminal emulator. GAMS is a standard program on the department
network. Further, a student version of GAMS is available with
the users guide at a reasonable price. A student version of Mathematica
is also available through the Technology Hub.
Grading: The grade for this class will be assigned based
on two examinations, a term project, class participation, and
homework as follows:
| Mid - Term Examination | 25%
|
| Final Examination | 35%
|
| Term Project | 25%
|
| Homework | 10%
|
| Class Participation | 5%
|
Homework is due on two week increments. Each assignment will be handed out
at the beginning of each increment and will involve topics covered over that
time span. For example, the first assignment will involve the computation of
expected utilities and certainty equivalents. Assignments are intended
to diagnose the students understanding of material as it is covered
in class and provide the basis for classroom discussion
of the application of risk theory. The term project consists of
two components (1) a written paper of a relevant application of
risk theory less than 12 pages in length and (2) an oral presentation
of the results for the class. The intent of this project is to prepare
the students for the contributed paper process followed by most
academic societies. The 5% assigned to class participation is
intended to guarantee that the students are attending classes
and keeping up with the required readings.
Course Outline
- Expected Utility
- Risk Aversion
- Expected Value-Variance
- Portfolio Analysis
- Risk Programming
Midterm October 14
- Stochastic Dominance
- Dynamic Decision Rules
- Market Models
- Option Models of Risk
- State Contigent Production Models"
Final Examination Thursday December 19, 12:30-2:30
Class notes will be offered in Adobe Acrobat PDF format. The Acrobat read is available at
http://www.adobe.com/acrobat/readstep.html.
Expected Utility
The basic economic notions of decision making under risk are based on the concept that economic agents
make decisions that maximize their expected utilities. This section of the course develops the basis for
this theory and how this basic tenant is used to analyze decisions under risk.
Lecture I: Expected Utility PDF,PowerPoint,Slides
Anderson, Jock R., John L. Dillon, and J. Brian Hardaker. Agricultural Decision Analysis (Ames, Iowa: Iowa State University Press, 1984) Chapter 4: 65-108.
Henderson, James M. and Richard E. Quandt. Microeconomic Theory (New York: McGraw-Hill Book Company) Chapters 2 and 3: 5-63.
Kaylen, Michael S., Paul V. Preckel, and Edna T. Loehman. "Risk Modeling via Direct Utility Maximization Using Numerical Quadrature." American Journal of Agricultural Economics 69(1987): 701-6.
Turvey, Calum G. "An Economic Analysis of Alternative Farm Revenue Insurance Policies." Canadian Journal of Agricultural Economics 40(1992): 403-26.
Lecture II: von Neumann-Morgenstern PDF,PowerPoint,Slides
Featherstone, Allen M. and Charles B. Moss. "Quantifying Gains to Diversification Using Certainty Equivalence in a Mean Variance Model: An Application to Florida Citrus." Southern Journal of Agricultural Economics 22(1990): 191-8.
Pana, Regina, Richard N. Weldon, Charles B. Moss, and Ronald P. Muraro. "An Economic Assessment of the Benefit of Tree Enclosures for Orange Trees in Florida." Food and Resource Economics, University of Florida, Staff Paper Series SP91-8, February 1991.
Lecture III: St. Petersburg Paradox and State-Preference Setup PDF,PowerPoint,Slides
Lecture IV: State-Contingent Utility PDF,PowerPoint,Slides
Course Outline
Risk Aversion
Lecture V: Risk Aversion and Arrow-Pratt Risk Aversion Coefficients PDF, PowerPoint,Slides
Musser, Wesley N., and Lynn Mather Musser. "Psychological Perspectives on Risk Analysis." in Risk Management in Agriculture Edited by Peter J. Barry (Ames, Iowa: Iowa State University Press, 1984): 82-94.
Robison, Lindon J., Peter J. Barry, James B. Kliebenstein, and George F. Patrick. "Risk Attitudes: Concepts and Measurment Approaches." in Risk Management in Agriculture Edited by Peter J. Barry (Ames, Iowa: Iowa State University Press, 1984): 11-30.
Lecture VI: Utility Functions, Risk Aversion Coefficients and Transformations PDF, PowerPoint, Slides
Wakker, Peter and Daniel Deneffe. "Eliciting von Neumann-Morgenstern Utilities When Probabilities are Distorted or Unknown." Management Science 42(8)(August 1996): 1131-50. JSTOR
Varian, Hal R. "Estimating Risk Aversion from Arrow-Debreu Portfolio Choice." Econometrica 56(4)(July 1988): 973-9. JSTOR
Wolf, Charles and Larry Pohlman. "The Recovery of Risk Preferences from Actual Choices." Econometrica 51(3)(May 1983): 843-50. JSTOR.
Young, Douglas L. "Risk Preferences of Agricultural Producers: Their Use in Extension and Research." American Journal of Agricultural Economics 61(5)(December 1979): 1063-70. JSTOR
Binswanger, Hans P. "Attitudes toward Risk: Experimental Measurements in Rural India." American Journal of Agricultural Economics 62(3)(August 1980): 395-407. JSTOR.
Binswanter, Hans P. "Attitudes toward Risk: Theoretical Implications of an Experiment in Rural India." American Journal of Agricultural Economics 91(364)(December 1981): 867-90. JSTOR.
Course Outline
Expected Value-Variance
Lecture VII: Expected Utility, Mean-Variance and Risk Aversion PDF, PowerPoint ,Slides
Kroll, Yoram, Haim Levy, and Harry M. Markowitz. "Mean-Variance versus Direct Utility Maximization." Journal of Finance 39(1984): 47-61. JSTOR
Pulley, Lawrence B. "Mean-Variance versus Direct Utility Maximization: A Comment." Journal of Finance 40(1985): 601-2.
Reid, Donald W. and Bernard V. Tew. "Mean-Variance versus Direct Utility Maximization: A Comment." Journal of Finance 41(1986): 1177-79.
Tew, Bernard V. and Donald W. Reid. "More Evidence on Expected Value-Variance Analysis versus Direct Utility Maximization." Journal of Financial Research 10(1987): 249-57.
Lecture VIII: Meyer's Location Scale Transformation PDF, PowerPoint, Slides
Meyer, Jack "Two-Moment Decision Models and Expected Utility Maximization" American Journal of Agricultural Economics 77(3)(June 1987): 421-30. JSTOR
Course Outline
Portfolio Analysis
Lecture IX: Portfolio and Risk Analysis PDF, PowerPoint, Slides
Lecture X: Derivation of the Expected Value-Variance Frontier without a Risk-Free Asset PDF, PowerPoint, Slides
Lecture XI: Derivation of the Expected Value-Variance Frontier with a Risk-Free Asset PDF, PowerPoint, Slides
Course Outline
Risk Programming
The historic difficulties in eliciting utility functions and direct maximization of expected utility originally lead to the
development of the mean-variance or of risk programming models. Historically, agricultural economics has focused on mean-variance
models to design a crop portfolio. More recent advances include the use of risk programming models to study optimal leverage and
other sequential decision processes.
Lecture XII: The Farm Portfolio Problem Part I: The Expected Value-Variance Frontier PDF,PowerPoint,Slides
Anderson, Jock R., John L. Dillon, and J. Brian Hardaker. Agricultural Decision Analysis (Ames, Iowa: Iowa State University Press, 1984) Chapter 7: 189-238.
Freund, R. J. "The Introduction of Risk into a Programming Model." Econometrica 24(1956): 253-63.
Moss, Charles B., Allen M. Featherstone, and Timothy G. Baker. "Agricultural Assets in an Efficient Multiperiod Portfolio." Agricultural Finance Review 47(1987): 82-94.
Musser, Wesley N., Harry P. Mapp, Jr., and Peter J. Barry. "Application I: Risk Programming." in Risk Management in Agriculture Edited by Peter J. Barry (Ames Iowa: Iowa State University Press, 1984): 129-147.
Lecture XIII: The Farm Portfolio Problem Part II: MOTAD and Direct Utility Maximization PDF,PowerPoint,Slides
Lecture XIV: The Farm Portfolio Problem Part III: Target MOTAD and Discrete Sequential Stochastic Programming PDF,PowerPoint,Slides
Kramer, Randall A., William T. McSweeny, and Robert W. Stavros. "Soil Conservation with Uncertain Revenues and Input Supplies." American Journal of Agricultural Economics (1983): 694-702.
Misra, Sukant and Stan R. Spurlock. "Incorporating the Impacts of Uncertain Fieldwork Time on Whole-Farm Risk-Return Levels: A Target Motad Approach." Southern Journal of Agricultural Economics (1991): 9-17.
Paris, Quirino. "Revenue and Cost Uncertainty, Generalized Mean-Variance, and the Linear Complementarity Problem." American Journal of Agricultural Economics (1979): 268-75.
Rae, Allan N. "Stochastic Programming, Utility, and Sequential Decision Problems in Farm Management." American Journal of Agricultural Economics
Tauer, Loren W. "Target MOTAD." American Journal of Agricultural Economics (1983): 606-10.
Zimet, David J. and Thomas H. Spreen. "A Target MOTAD Analysis of a Crop and Livestock Farm in Jefferson County, Florida." Southern Journal of Agricultural Economics (1986): 175-85.
Vandeveer, Lonnie R., Kenneth W. Paxton, and David R. Lavergne. "Irrigation and Potential Diversification Benefits in Humid Climates." Southern Journal of Agricultural Economics (1989): 167-74.
Other Materials
Fortran file for the portfolio problem Fortran
SPECS file for portfolio problem SPECS
Course Outline
Stochastic Dominance
An alternative to either assuming a utility function or approximating the utility maximizing behavior with mean-variance rule is
the use of efficiency criteria. One group of those efficiency criteria are known as stochastic dominance criteria. The most popular of
these criteria are first and second degree stochastic dominance along with stochastic dominance with respect to a function. In the first
case the only economic assumption required is that the decision maker prefers more to less. In the second two criteria we must assume
something about the utility function.
Lecture XVI: Overview of Stochastic Dominance PDF,PowerPoint,Slides
Anderson, Jock R., John L. Dillon, and J. Brian Hardaker. Agricultural Decision Analysis (Ames, Iowa: Iowa StateUniversity Press, 1984) Chapter 9: 281-319.
Lecture XVII: Derivation of First and Second Degree Stochastic Dominance PDF,PowerPoint,Slides
Lecture XVIII: Definitions of Increasing Risk PDF,PowerPoint,Slides
Lecture XIX: Implications of Increasing Spreads PDF, PowerPoint, Slides
Meyer, Jack. "Increasing Risk." Journal of Economic Theory 11(1975): 119-32.
Lecture XX: Generalized Stochastic Dominance with Respect to a Function PDF,PowerPoint,Slides
King, Robert P. and Lindon J. Robison. "Risk Efficiency Models." in Risk Management in Agriculture Edited by Peter J. Barry (Ames, Iowa: Iowa State University Press): 68-81.
Meyer, Jack. "Choice Among Distributions." Journal of Economic Theory 14(1977): 326-36.
Meyer, Jack. "Second Degree Stochastic Dominance with Repect to a Function." International Economic Review 18(1977): 477-87.
Moss, Charles B., Stephen A. Ford, and Mario Castejon. "Effect of Debt Position on the Choice of Marketing Strategies for Florida Orange Growers: A Risk Efficiency Approach." Southern Journal of Agricultural Economics 23(1991): 103-12.
Lecture XXI: Applications of Stochastic Dominance in Agriculture PDF,PowerPoint,Slides
Course Outline
Dynamic Decision Rules
Our discussion of dynamic decision rules will focus on the value of information and stochastic optimal control. As a starting
point, we will discuss the value of information without risk aversion with some discussion of Bayesian decision making. Our discussion
of the value of information will then provide an introduction to stochastic dynamic programming which will lead into a discussion of
stochastic optimal control.
Lecture XVIII: Value of Information PDF,PowerPoint,Slides
Chavas, Jean-Paul and Rulon D. Pope. "Information: Its Measurement and Valuation." American Journal of Agricultural Economics 66(1984): 705-10.
Course Outline
Market Models
Beyond the use of risk efficiency rules, another approach to incorporating risk into agricultural decision models is to
use information implied by the financial markets. This approach is based on the theory of financial markets. However, because of the
lack of publically traded equities in agriculture, we typically rely on aggregated data and worry about barriers to entry.
Lecture XXIV: The Capital Asset Pricing Model PDF,PowerPoint,Slides
Lecture XXV: Capital Asset Pricing Model and the Arbitrage Pricing Theorem PDF, PowerPoint, Slides
Lecture XXVI: The Arbitrage Pricing Model PDF, PowerPoint, Slides
Lecture XXVII: Empirical Applications of Capital Market Models PDF, PowerPoint, Slides
Moss, Charles B. and Allen M. Featherstone. "An Empirical Investigation of Risk Diversification Opportunities Within the Farm Credit System." Proceedings of Regional Research committee NC-161 Agricultural Economics Report No. 243, North Dakota State University, January 1989.
Moss, Charles B., Richard N. Weldon, and Ronald P. Muraro. "The Impact of Risk on the Discount Rates for Different Citrus Varieties." Agribusiness: An International Journal 7(1991): 327-38.
Moss, Charles B., Richard N. Weldon, and Allen M. Featherstone. "A Simple Approach to Evaluating Risk Diversification Opportunities." Journal of the American Society of Farm Managers and Rural Appraisors 55(1991): 20-4.
Option Models of Risk
Another link to the financial economics literature is the use of option models to quantify the value of an investment under risk. Most
of this work originates with the work of Dixit and Pindyck.
Lecture XXVIII: Introduction to Options and Futures PDF,PowerPoint,Slides
Lecture XXIX: Options Pricing using Black-Scholes PDF, PowerPoint,Slides
Lecture XXX: Real Option Valuation PDF, PowerPoint, Slides
Moss, Charles B., Amy P. Pagano, and William G. Boggess. "Ex Ante Modeling of the Effect of Irreversibility and Uncertainty on Citrus Investment." Risk Modeling in Agriculture: Retrospective and Prospective Program Proceedings for the annual meetings of the Technical Committee S-232, Department of Economics, Iowa State University, Ames, August 1994.
Purvis, Amy, William G. Boggess, Charles B. Moss, and John Holt. "Technology Adoption Decisions Under Irreversibility and Uncertainty: An Ex Ante Approach." American Journal of Agricultural Economics 77(1995): 541-51.
Lecture XXXI: Crop Insurance and Option Pricing PDF, PowerPoint, Slides
Course Outline
State Contingent Production Models
Lecture XXXII: State Contingent Production Model: The Stochastic Production Set PDF, PowerPoint, Slides
Lecture XXXIII: Distance Functions and Risk Aversion PDF, PowerPoint, Slides
Lecture XXXIV: Constant Relative and Absolute Risk Aversion and the Derivation of the State-Contingent Dual Functions PDF, PowerPoint, Slides
Course Outline
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