AMIS 4200 Advanced Accounting Autumn 2013 Office hours: MW 1:30 – 2:15 John Fellingham Fisher 406 General Description The course deals with theory and practice in the academic discipline of accounting. In particular, accounting will be treated as an information science. That is, not only is accounting a conveyor of information, the accounting activity, itself, resides in an environment in which information is a first order phenomena. Accounting affects, and is affected by, the information environment. The first topic treats the accounting double entry system as an information channel. The central question is: How much information gets through the channel? Some important mathematical results are accessed for a sensible answer to the question: the fundamental theorem of linear algebra, orthogonality, optimization, and projection results. The second topic, arbitrage free pricing of derivative securities, utilizes the results from the first topic. Some additional results are derived including the fundamental theorem of finance. The third topic is accounting valuation for derivative securities. The information perspective is retained. The final accounting topic is business combinations, and, in particular, the effect of the information environment on efficient combinations, and the interaction of accounting and information. Some further information results are useful for the study of business combinations, as well as the optimal use of information in investment settings. Some similarities between investment and production settings are analyzed. Text and Reading Materials All of the exercises and the suggested readings are from the class notes available on the course website. http://fisher.osu.edu/~fellingham_1/Fellingham.html There are some other (optional) sources which will be referred to from time to time, as they cover derivatives, hedge funds, and the use of information in particular business settings. The Smartest Guys in the Room by Bethany McLean and Peter Elkind When Genius Failed by Roger Lowenstein Conspiracy of Fools by Kurt Eichenwald Fortune’s Formula by William Poundstone 1 Course Requirements and Grading Grades will be assigned based on cumulative performance in the course, using the following weights for the components: Making a positive contribution to the learning environment Quiz (Sept. 27) Midterm (Nov. 1) Comprehensive final exam 20% 20% 20% 40% No makeup midterm exams are offered. Students must provide a valid reason in advance or will receive zero credit for the exam. Examinations The exams are cumulative, closed book, and closed note. Calculators are allowed, personal computers and other electronic devices are not. Make-ups for the final exam will be given only for reasons acceptable according to University guidelines. The final will be given at the time determined by the University. 2 Preliminary schedule for AMIS 4200 autumn 2013: Topics Readings Problems Accounting as an information science Ch. 1 Alternative representations of accounting Ch. 2.1 – 2.3 Linear algebra representation Ch. 2.4 Example 2.1 (cont.) Accounting as a communication channel Ch. 3.1 – 3.2 Examples 3.1, 3.2 Computing yrow – quadratic program Ch. 3.3 Computing yrow – orthogonality conditions and nullspace Ch. 3.4 – 3.5 Fundamental theorem of linear Ch. 3.8 – 3.9 algebra; multiple loops Theorem of the separating hyperplane Ch. 4.1 Accounting illustration of the theorem Ch. 4.2 – 4.3 Arbitrage free pricing Ch. 4.4 State probabilities Ch. 4.5 Multiple equilibria Ch. 4.6 Derivative pricing and horse racing* Example 2.1 Example 3.3 Example 3.2 (cont.), example 3.4, 3.5 Example 3.8 Exercises 3.1, 3.3, 3.5, 3.9* Chapter 3 exercises Ch. 4 exercises Exercises1.1, 1.2, 1.3 “simple” example Example 4.1 Example 4.2 Example 4.2 (cont.) “expanded” example Exercises 4.1, 4.3, 4.4, 4.13 Exercises 4.5, 4.6, 4.7 3 Accounting and equilibrium – historical cost and mark to Ch. 5.1 – 5.2 market Example 5.1 Accounting and equilibrium – Ch. 5.3 valuation in the row space Examples 5.2, 5.3 Accounting and equilibrium – Ch. 5.4 null component Example 5.4 Ch. 5 exercises Exercises 5.1, 5.2, 5.3, 5.6, 5.7, 5.8, 5.9, 5.12, 5.13, 5.14 Continuous compounding and Ch. 6.1.1 rates of return Exercises 6.16, 6.17, 6.18, 6.19, 6.20 Shannon’s theorem Ch. 8.1 The additivity property Ch. 8.2 Mutual information and Kelly Ch. 8.3 – 8.4 criterion Mutual information theorem Ch. 8.5 Alternative frames for Kelly criterion* Ch. 8.6.1 An accounting connection Ch. 8.7 Chapter 12 exercises Example 8.2 Example 8.3, footnote 3 Examples 8.4, 8.5 Example 8.6 Examples 8.8, 8.9 Exercises 8.2, 8.4, 8.14, 8.15, 8.16, 8.17, 8.18, 8.19, 8.20 Chapter 8 exercises Synergy, information, and goodwill Example 8.1 Ch. 12.1 Example 12.1 Exercises 12.21, 12.22 4