Palisade Risk Management Conference Las Vegas November 10-11, 2011 Christina I Ray Senior Managing Director for Market Intelligence Omnis, Inc. McLean, VA DECISION MAKING AND ENTERPRISE RISK MANAGEMENT: THE PLAUSIBLE VERSUS THE PROBABLE Company Proprietary Omnis, Inc. (c) 11/21/2011 1 Two Worldviews: Probability vs. Plausibility Company Proprietary Omnis, Inc. (c) 2 Two Worldviews Probability The future is adequately represented by the past Plausibility The future my be very unlike the past Everything that can be reasonably be expected to occur hasn’t yet happened! Company Proprietary Omnis, Inc. (c) 3 Two Worldviews (continued) Probability Easier to model using classical statistical models (e.g., using variance/covariance) Plausibility More difficult to model; requires use of causal models and subject matter expertise But the latter has a high payoff! Company Proprietary Omnis, Inc. (c) 4 Inductive Reasoning and the Scientific Method The classical view of the philosophy of science is that it is the goal of science to "prove” hypotheses or induce them from observational data. But, consistent with a Bayesian attitude, we can only have a degree of belief in, say, “all swans are white”. Company Proprietary Omnis, Inc. (c) November 21, 2011 5 Popper’s Falsifiability Scientific hypotheses have to be falsifiable (i.e., refutable) This doesn’t mean that something is false; rather, that it can be contradicted by an observation or the results of a direct experiment (e.g., we observe a black swan). Company Proprietary Omnis, Inc. (c) November 21, 2011 6 Bayesians vs. Frequentists Focus on “plausibility” Focus on “probability” Explicitly acknowledge Implicitly assume a breaks in the system Each new piece of data affects their degree of belief (i.e., “prior” becomes “posterior” knowledge) stable system Each new piece of data modifies statistical parameters and the level of uncertainty about them Company Proprietary Omnis, Inc. (c) November 21, 2011 7 Knowledge Discovery in Brief Data Information Knowledge Company Proprietary Omnis, Inc. (c) 11/21/2011 8 Two Missions: Two Worldviews The financial community The national security often assumes system stability, in which historical market behavior is assumed to be representative of future market behavior Its focus is on probability This worldview permits the use of classical stochastic models community assumes constantly-evolving threats in the face of adaptive enemies, and must generate its own future scenarios Its focus is on plausibility This worldview requires the use of causal inference models Company Proprietary Omnis, Inc. (c) November 21, 2011 9 Decision-Theoretic Models: Choice Under Uncertainty Decision theory is concerned with identifying the values, uncertainties, and all other issues relevant to identifying an optimal decision. Most of decision theory is prescriptive; i.e., it is concerned with identifying the best decision to take by a decision maker who is fully informed, able to compute with perfect accuracy, and is fully rational. However, it also allows for preferences for one outcome over another in the form of marginal utility functions Decision-theoretic models require decision support systems and tools Company Proprietary Omnis, Inc. (c) 10 Objective of Analytic Methods (All Domains) Objective of any analytic methods: “actionable insights” (irrespective of the domain) To do so, we must have an integrated structure describing the observations we have gathered, but must also specify a causal structure, so we can anticipate the consequences of actions we have not yet taken. One of the largest challenges: adding complexity and computational requirements, since most dynamics uncovered in some domains are probabilistic rather than deterministic in nature. Company Proprietary Omnis, Inc. (c) 11 Enterprise Risk Management A Fused Approach Company Proprietary Omnis, Inc. (c) 12 Ultimate Objective of ERM: Inform Management Decisions! Company Proprietary Omnis, Inc. (c) 13 Purposes of an Integrated ERM Framework Knowledge Unification Knowledge Representation & Communication Reasoning Company Proprietary Omnis, Inc. (c) 14 A Framework for Information Fusion: Inference Models • Ability to model complex causal chain of events • Ability to integrate expert knowledge, historical experience, opinions, and even unknown unknowns • Ability to include utility functions/preferences • Completeness • Efficiency Company Proprietary Omnis, Inc. (c) 15 Mitigation of Cognitive Biases Confirmation Bias Anchoring Bias Random Bias Availability Bias Framing Bias Statistical Bias Company Proprietary Omnis, Inc. (c) 16 Comparison of Attitudes About Risk Characteristic National Security Community Financial Community Purpose of Risk Management Defend homeland Profit Attitude Toward Risk Always a negative; to be eliminated or mitigated Taken deliberately (within limits) Types of Models Conceptual/Causal Primarily Stochastic “Bayesians” “Frequentists” Focus Catastrophic scenarios Everyday and extreme scenarios Data Expert opinion informed by intelligence Historical experience Attitude About Model Error Always aware of model error; efforts to control Often not an integral part of risk management Company Proprietary Omnis, Inc. (c) 17 The US as Enterprise Company Proprietary Omnis, Inc. (c) 18 Vision 2015 Persistent Threats and Emerging Missions Company Proprietary Omnis, Inc. (c) 11/21/2011 19 Economic and Financial Warfare “So, which [of many unconventional means], which seem totally unrelated to war, will ultimately become the favored minions of this new type of war – “the non-military war operation” – which is being waged with greater and greater frequency throughout the world? …Financial War is a form of non-military warfare which is just as terribly destructive as a bloody war, but in which no blood is actually shed. Financial warfare has now officially come to war’s center stage.” -- Colonel Qiao Liang ad Colonel Wang Xiangsui, Unrestricted Warfare, 1999 (Translated from Chinese) Company Proprietary Omnis, Inc. (c) 11/21/2011 20 One “IC” Decision Support Framework Likelihood/Probability Susceptibility/Vulnerability Consequences/Impact These are all oriented toward providing actionable intelligence! Company Proprietary Omnis, Inc. (c) November 21, 2011 21 Causality Company Proprietary Omnis, Inc. (c) 22 Causality “I would rather discover one causal relationship than be King of Persia.” Democritus (430-380BC) “Development of Western science is based on two great achievements: the invention of the formal logical system (in Euclidean geometry) by the Greek philosophers), and the discovery of the possibility to find out causal relationships by systematic experiment (during the Renaissance).” Albert Einstein, April 23, 1953 Company Proprietary Omnis, Inc. (c) 11/21/2011 23 Causality as a Property of Nature, Not a Model “It is not reason which is the guide of life, but custom.” --Philosopher David Hume “Reality is that which, when you stop believing in it, doesn't go away.” --Science Fiction Writer Philip K. Dick Company Proprietary Omnis, Inc. (c) November 21, 2011 24 Central Theme of Causality Causality is, ”a computational scheme designed to facilitate prediction of the effects of actions”. I&W provide notice of actions (i.e., interventions) that lead to consequences! Result = Predictive Ability! Company Proprietary Omnis, Inc. (c) November 11/21/201121, 2011 25 Basic Principals of Causality Mechanisms = Stable Functional Relationships (Portrayed as Equations and Graphs) Interventions = “Surgeries” on Mechanisms Causation = Encoding of Behavior Under Interventions These principals can be neatly encapsulated and enclosed in a mathematical object called a causal model. Source: Judea Pearl Company Proprietary Omnis, Inc. (c) 11/21/2011 26 Correlation vs. Causation Y=aX+b Provides no information about whether X causes Y or Y causes X! Company Proprietary Omnis, Inc. (c) 11/21/2011 27 Graphs: The Language of Causality Company Proprietary Omnis, Inc. (c) 11/21/2011 28 One Notation: Directed Acyclic Graphs Nodes = Variables Dotted Curves = “Confounders” (Hidden Causes That Affect Both Variables) Links = Relationship Between Variables These might be reverseengineered to great advantage! Directed Links (Arrows) Show Temporal or Causal Order Company Proprietary Omnis, Inc. (c) 29 Statistical Inference vs. Causal Inference Perhaps the most important aspect of a Bayesian networks is that they are direct representations of the world, not of reasoning processes. The arrows in the diagram represent real causal connections and not the flow of information during reasoning (as in rulebased systems and neural networks). Company Proprietary Omnis, Inc. (c) 30 Operational Example: Dynamic VaR Created using Palisade’s Precision Tree Company Proprietary Omnis, Inc. (c) 31 Contagion and Systemic Risk Company Proprietary Omnis, Inc. (c) 32 Systemic Risk and Systems Thinking A system is defined as a set of elements that have one or more relationships between them, and systems thinking is the process by which one seeks to understand those elements and relationships so as to be able to understand the behavior of the system as a whole. Company Proprietary Omnis, Inc. (c) 33 Systems Representation of the World Economy and Markets Source: Quantum 4D, Inc. Company Proprietary Omnis, Inc. (c) November 21, 2011 34 Characteristics of Some Systems Complex Adaptive Self-Organizing Exhibits Emergent Behavior HOT (Highly Optimized Tolerance) Global capital markets exhibit all these characteristics. Company Proprietary Omnis, Inc. (c) 35 Definition of Systemic Risk “Financial system instability, potentially catastrophic, caused or exacerbated by idiosyncratic events or conditions in financial intermediaries. It is the risk that the financial system fails. It is not the risk that a financial institution fails provided that failure does not result in system instability.” -- Tom Daula, Chief Risk Officer, Morgan Stanley Company Proprietary Omnis, Inc. (c) 36 Example of Contagion: Credit Default Swaps in the “PIGS” Company Proprietary Omnis, Inc. (c) 37 Office of Financial Research (OFR) Mandated by Dodd Frank Established within the Treasury Department Company Proprietary Omnis, Inc. (c) 38 OFR’s Mission Mission is to create two operational centers: Data Center to, “standardize, validate, and maintain the data necessary to identify vulnerabilities in the system as a whole”, and Research and Analysis Center to, “conduct, coordinate, and sponsor research to support and improve regulation of financial firms and markets”. This is explicit acknowledgement of regulations as “interveners” in a complex system! Company Proprietary Omnis, Inc. (c) 39 Contact Information Christina Ray Senior Managing Director for Market Intelligence Omnis, Inc. www.omnisinc.com 1749 Old Meadow Road 4th Floor McLean, VA 22102 cray@omnisinc.com (703) 790-1011 x 108 (Office) (917) 567-8355 (Mobile) Company Proprietary Omnis, Inc. (c) November 21, 2011 40