
Recent Advances in Financial Engineering 2009 : Proceedings of the KIER-TMU International Workshop on Financial Engineering.
Title:
Recent Advances in Financial Engineering 2009 : Proceedings of the KIER-TMU International Workshop on Financial Engineering.
Author:
Kijima, Masaaki.
ISBN:
9789814304078
Personal Author:
Physical Description:
1 online resource (284 pages)
Contents:
CONTENTS -- Preface -- Program -- Risk Sensitive Investment Management with Affine Processes: A Viscosity Approach M. Davis and S. Lleo -- Keywords: -- 1. Introduction -- 2. Analytical Setting -- 2.1 Overview -- 2.2 Factor Dynamics -- 2.3 Asset Market Dynamics -- 2.4 Portfolio Dynamics -- 3. Problem Setup -- 3.1 Optimization Criterion -- 3.2 Change of Measure -- 3.3 The HJB Equation -- 4. Properties of the Value Function -- 4.1 "Zero Beta" Policies -- 4.2 Convexity -- 4.3 Boundedness -- 4.4 Growth -- 5. Viscosity Solution Approach -- 5.1 Definitions -- 5.2 Characterization of the Value Function as a Viscosity Solution -- 6. Comparison Result -- 6.1 Uniqueness -- 7. Conclusion -- References -- Small-Sample Estimation of Models of Portfolio Credit Risk M. B. Gordy and E. Heitfield -- Keywords: -- 1. Introduction -- 2. A Structural Default Model -- 3. Moment and Maximum Likelihood Estimators -- 4. Monte Carlo Simulations -- 5. Bias in Method of Moments -- Conclusion -- Appendices -- References -- Heterogeneous Beliefs with Mortal Agents A. A. Brown and L. C. G. Rogers -- 1. Introduction -- 1.1 Literature Review -- 2. The Model -- 2.1 The Dividend Process -- 2.2 The Agents -- 2.3 Deriving the State Price Density -- 2.4 A Continuum of Agents -- 3. Asset Prices -- 3.1 The Interest Rate Process -- 3.2 The Stock Price -- 3.2.1 A PDE for the stock price -- 3.2.2 Calculation of stock price via computation of conditional expectation -- 3.2.3 Solving the ODEs -- 3.3 The Bond Price -- 3.4 Remarks on the Case in which a is Known -- 4. Numerical Results -- 4.1 Comments on Results -- 5. Conclusions -- Appendices. Stochastic Integrals -- References -- Counterparty Risk on a CDS in a Markov Chain Copula Model with Joint Defaults S. Crepey, M. Jeanblanc and B. Zargari -- Keywords: -- 1. Introduction -- 1.1 Counterparty Credit Risk -- 1.2 A Markov Copula Approach.
1.3 Outline of the Paper -- 2. General Set-Up -- 2.1 Cash Flows -- 2.2 Pricing -- 2.3 Special Case F = H -- 3. Markov Copula Factor Set-Up -- 3.1 Factor Process Model -- 3.2 Pricing -- 3.3 Hedging -- 3.3.1 Price dynamics -- 3.3.2 Min-variance hedging -- 4. Implementation -- 4.1 Affine Intensities Model Specification -- 4.1.1 Calibration issues -- 4.1.2 Special case of constant intensities -- 4.2 Numerical Results -- 5. Concluding Remarks and Perspectives -- Appendix. -- References -- Portfolio Efficiency Under Heterogeneous Beliefs X.-Z. He and L. Shi -- Keywords: -- 1. Introduction -- 2. MV Equilibrium Asset Prices Under Heterogeneous Beliefs -- 2.1 Heterogeneous Beliefs -- 2.2 Consensus Belief and Equilibrium Asset Prices -- 2.3 The Zero-Beta CAPM Under Heterogeneous Beliefs -- 3. The Impact of Heterogeneity -- 3.1 The Shadow Prices and the Aggregation Property -- 3.2 The Impact of Heterogeneous ARA Coefficients -- 3.3 The Impact of Heterogeneous Expected Payoffs -- 4. MV Efficiency and Geometric Relationship of MV Frontiers -- 4.1 MV Efficiency of the Optimal Portfolios Under Heterogeneous Beliefs -- 4.2 The Relation of the Equilibrium MV Frontiers without Risk-Free Asset -- 5. The Impact of Heterogeneity on the Market with Many Investors -- 6. Conclusion -- Appendices -- References -- Security Pricing with Information-Sensitive Discounting A. Macrina and P. A. Parbhoo -- Keywords: -- 1. Introduction -- 2. Information-Sensitive Pricing Kernels -- 3. Weighted Heat Kernel Models -- 4. Credit-Risky Discount Bonds -- 5. Credit-Risky Bonds with Continuous Market-Dependent Recovery -- 6. Call Option Price Process -- 7. Hybrid Securities -- 8. Credit-Risky Coupon Bonds -- 9. Credit-Sensitive Pricing Kernels -- References -- On Statistical Aspects in Calibrating a Geometric Skewed Stable Asset Price Model H. Masuda -- Keywords: -- 1. Introduction.
2. Setup -- 3. Description of Estimation Procedure -- 3.1 Preliminaries -- 3.1.1 Expression of empirical-sign statistics -- 3.1.2 Expression of normalized MPV -- 3.1.3 A basic limit result -- 3.2 Joint Asymptotic (Mixed) Normality -- 3.4 Case (B): Time-Varying Scale Process -- 4. Simulation Experiments -- 4.1 Case (A) -- 4.2 Case (B) -- 5. Concluding Remarks -- References -- A Note on a Statistical Hypothesis Testing for Removing Noise by the Random Matrix Theory and Its Application to Co-Volatility Matrices Morimoto and K. Tachibana -- Keywords: -- 1. Introduction -- 2. Theoretical Background -- 2.1 Random matrix -- 2.2 Extraction of Essential Volatility -- 2.3 Maximum Eigenvalue Density of Random Matrix -- 2.4 Realized Quantities -- 3. Empirical Analysis -- 4. Concluding Remarks -- References -- Quantile Hedging for Defaultable Claims Y. Nakano -- Keywords: -- 1. Introduction -- 2. Model -- 3. Quantile Hedging Problem -- 4. Case of Non-Zero Recovery Rate -- References -- New Unified Computational Algorithm in a High-Order Asymptotic Expansion Scheme K. Takehara, A. Takahashi and M. Toda -- Keywords: -- 1. Introduction -- 2. An Asymptotic Expansion Approach in a Black-Scholes Economy -- 2.1 An Asymptotic Expansion Approach in a Black-Scholes Economy -- 2.2 An Approach with an Expansion into Iterated It Integrals -- 2.3 An Alternative Approach with a System of Ordinary Differential Equations -- 3. Numerical Examples -- 3.1 -SABR Model -- 3.2 Currency Option under a Libor Market Model of Interest Rates and a Stochastic Volatility of a Spot Exchange Rate -- 3.2.1 Cross-Currency Libor Market Models -- 3.2.2 Numerical Examples -- 4. Concluding Remarks -- References -- Can Financial Synergy Motivate M&A? Y. Tian, M. Nishihara and T. Shibata -- 1. Introduction -- 2. Model Setup -- 3. Model Analysis -- 3.1 After M&A -- 3.2 BeforeM&A.
4. Model Implications -- 4.1 Measure of Financial Synergy -- 4.2 Main Results -- 5. Conclusions -- Appendix A -- Appendix B -- References.
Abstract:
This book consists of 18 papers presented at the KIER-TMU International Workshop on Financial Engineering 2009. These papers address state-of-the-art techniques in financial engineering, and they are selected through appropriate referees' evaluation followed by the editors' final decision in order to make this book a high-quality one. The KIER-TMU International Workshop on Financial Engineering was held for the first time in 2009. Prof. Kijima (the Chair of this workshop) and his colleagues held the Daiwa International Workshop on Financial Engineering in Tokyo from 2004-2008. Each year, various kinds of interesting and high-quality studies are presented by many researchers from various countries, from both academia and the industry. Accordingly, this workshop serves as a bridge between academic researchers on financial engineering and practitioners. In 2009, the Institute of Economic Research, Kyoto University (KIER) and Tokyo Metropolitan University (TMU) held a new international workshop, the KIER-TMU International Workshop on Financial Engineering, which is regarded as a successor to the Daiwa International Workshop.
Local Note:
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2017. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
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