The compiled works of the man behind the evolution of quantitative finance Finance, Economics, and Mathematics is the complete Vasicek reference work, including published and unpublished work and interviews with the man himself. The name Oldrich A.

Foreword (by Robert C. Merton) ix Preface xi PART ONE Efforts and Opinions 1 CHAPTER 1 Introduction to Part I 3 CHAPTER 2 Lifetime Achievement Award (by Dwight Cass) 7 CHAPTER 3 One-on-One Interview with Oldrich Alfons Vasicek (by Nina Mehta) 13 CHAPTER 4 Credit Superquant (by Robert Hunter) 21 PART TWO Term Structure of Interest Rates 27 CHAPTER 5 Introduction to Part II 29 CHAPTER 6 An Equilibrium Characterization of the Term Structure 33 CHAPTER 7 The Liquidity Premium 45 CHAPTER 8 Term Structure Modeling Using Exponential Splines (with Gifford Fong) 49 CHAPTER 9 The Heath, Jarrow, Morton Model 63 PART THREE General Equilibrium 65 CHAPTER 10 Introduction to Part III 67 CHAPTER 11 The Economics of Interest Rates 71 CHAPTER 12 General Equilibrium with Heterogeneous Participants and Discrete Consumption Times 89 CHAPTER 13 Independence of Production and Technology Risks 107 CHAPTER 14 Risk-Neutral Economy and Zero Price of Risk 111 PART FOUR Credit 125 CHAPTER 15 Introduction to Part IV 127 CHAPTER 16 Credit Valuation 131 CHAPTER 17 Probability of Loss on Loan Portfolio 143 CHAPTER 18 Limiting Loan Loss Probability Distribution 147 CHAPTER 19 Loan Portfolio Value 149 CHAPTER 20 The Empirical Test of the Distribution of Loan Portfolio Losses 161 PART FIVE Markets, Portfolios, and Securities 163 CHAPTER 21 Introduction to Part V 165 CHAPTER 22 The Efficient Market Model (with John A. McQuown) 169 CHAPTER 23 A Risk Minimizing Strategy for Portfolio Immunization (with Gifford Fong) 195 CHAPTER 24 The Tradeoff between Return and Risk in Immunized Portfolios (with Gifford Fong) 203 CHAPTER 25 Bond Performance: Analyzing Sources of Return (with Gifford Fong and Charles J. Pearson) 213 CHAPTER 26 The Best-Return Strategy 223 CHAPTER 27 Volatility: Omission Impossible (with Gifford Fong and Daihyun Yoo) 237 CHAPTER 28 A Multidimensional Framework for Risk Analysis (with Gifford Fong) 247 CHAPTER 29 Plugging into Electricity (with Hélyette Geman) 261 CHAPTER 30 Pricing of Energy Derivatives 277 PART SIX Probability Theory and Statistics 281 CHAPTER 31 Introduction to Part VI 283 CHAPTER 32 A Note on Using Cross-sectional Information in Bayesian Estimation of Security Betas 287 CHAPTER 33 A Series Expansion for the Bivariate Normal Integral 297 CHAPTER 34 A Conditional Law of Large Numbers 305 CHAPTER 35 A Test for Normality Based on Sample Entropy 315 CHAPTER 36 Monotone Measures of Ergodicity for Markov Chains (with Julian Keilson) 325 CHAPTER 37 An Inequality for the Variance of Waiting Time under a General Queueing Discipline 333 About the Author 339 Index 341

Oldrich Vasicek began his career in economics in the late 1960s as part of a uniquely gifted team of thinkers who pushed the boundaries of financial theory at Wells Fargo Bank in San Francisco. In 1977, he published his breakthrough paper describing the dynamics of the yield curve as a mean-reverting short-rate model, which now is known as the Vasicek model. Oldrich continues to push the frontier of economics, and Finance, Economics, and Mathematics is the brilliantly compiled, up-to-date collection of his work as it shapes the landscape of financial theory and investment practice. For the first time, finance researchers and practitioners have a single resource offering his original published papers, many of which he coauthored with other such economic celebrities as John McQuown, Gifford Fong, and Hélyette Geman. This compendium also features personal thoughts and interviews, as well as never-before published works. Also included are several papers in pure mathematics, showing the other side of his professional double personality. Conveniently organized for topic-specific research, this material provides the author’s firsthand look at: The theory of term structure of interest rates and the valuation of bondsThe causal relationship of interest rates to economic variablesMeasurement of credit risk of corporate loans and loan portfoliosThe principles of bond investment management and performance measurement The mathematics of risk estimation and hedgingThe importance of bringing finance back to economics Vasicek’s research is the foundation of some of the most significant innovations in finance. Reference this collection of enormously influential work.