Cover image for New Trends in Financial Engineering : Works Under the Auspices of the World Class University Program of Ajou University.
New Trends in Financial Engineering : Works Under the Auspices of the World Class University Program of Ajou University.
Title:
New Trends in Financial Engineering : Works Under the Auspices of the World Class University Program of Ajou University.
Author:
Koo, H.K.
ISBN:
9781607508359
Personal Author:
Physical Description:
1 online resource (164 pages)
Series:
Studies in Probability, Optimization and Statistics
Contents:
Title Page -- Contents -- Preface -- Real Options and Variational Inequalities -- Introduction -- Complete Market and Risk-Neutral Pricing -- Evolution of the Resource Process -- The Classical Real Options Model - A Single Player (Monopolist) -- Economic Framework -- The Monopolist's Problem and Its Solution -- Real Options and Competition -- The Economic Framework -- Investment Payoff Formulation for Players -- The Stackelberg Leader-Follower Game -- The Preemption Game -- Stackelberg Leader's Lowest Threshold, y1, vs. Optimal Threshold for Leading Firm in Preemption Game, y -- Research and Development: Creator of New Options -- Conclusion -- Real Options: A Framework of Optimal Switching -- Introduction -- Finite-Horizon Optimal Switching -- Dynamic Programming and Hamilton-Jacobi-Bellman Equation -- Entry and Exit Under Ambiguity as an Infinite Horizon Two-Mode Switching Model -- Conclusion -- Optimal Consumption and Investment in the Presence of a Stopping Choice -- Introduction -- The Basic Market Environment -- A Benchmark Problem -- A Wealth-Dependent Investment Opportunity Set -- The Problem -- A Solution and Its Properties -- Disutility, Optimal Retirement and Portfolio Selection -- The Problem -- A Solution and Its Properties -- The Problem in the Presence of Liquidity Constraints -- Optimal Retirement Time, Consumption/Investment, and Leisure Choice Problem -- The Problem -- The Solution and Its Properties -- The Problem in the Presence of Liquidity Constraints -- Conclusion -- Stochastic Control Methods for the Joint Optimization of the Risk and Dividend Policies of a Firm -- Introduction -- Proportional Reinsurance -- The Mathematical Model -- Properties of the Value Function -- Properties of the Solution to the QVI -- The Optimal Policy -- Bankruptcy and Expected Time Between Dividend Payments -- Excess-of-Loss Reinsurance.

The Mathematical Model -- Open Problems -- Nonlinear Expectations and Limit Theorems -- Introduction -- Expectations and Risk Measures -- g-Expectation -- Choquet Expectation -- Risk Measures -- Nonlinear Expectations and Risk Measures -- Summary -- Nonlinear Expectations and Limit Theorems -- Notation and Lemmas -- Strong Law of Large Number for Capacities -- Law of Iterated Logarithm for Capacities -- Applications to Financial Engineering and Econometrics -- Conclusion -- Market Microstructure -- Introduction -- Microstructure Noise and High Frequency Data Analysis -- Microstructure Noise -- High Frequency Data Analysis -- Liquidity Risk and Transaction Cost -- Liquidity Cost Model -- Transaction Cost Model -- Limit Order Book Dynamics -- Queuing Type Approach -- Extra Spread Approach -- Information Effect -- Information Asymmetry, Informed Trader/Insider -- Bid-Ask Spread, Volume, Variance, Depth, etc. -- Financial Market Equilibrium -- Conclusion -- Financial Engineering and Agency Problems -- Introduction -- Financial Crises and Moral Hazard -- The S&L (Savings and Loan) Crisis -- The Subprime Mortgage Crisis -- Excessive Competition over Similar Investment Opportunities -- Effects of Agency Problems on Loan Contracts -- A Naive Analysis -- An Incentive-Compatible Loan Contract -- Credit Risk and Agency -- Delegated Portfolio Management -- Portfolio Selection and Agency -- Interest Rates and Market Prices of Risks in the Presence of Moral Hazard -- Conclusion -- A Survey on Banking and Financial Markets: Lessons for Financial Engineering -- Introduction -- Beyond the Neoclassical Foundation of Financial Engineering -- Banks and Financial Markets -- A Historical Survey -- History of Banking -- Financial Markets -- Financial Crises -- Economic Theories of Banking and Financial Markets -- Risk Sharing -- Liquidity Provision -- Payment Services.

Monitoring -- The Effects of the Derivatives Revolution on Banking and Financial Markets -- Risk Sharing -- Liquidity Provision -- Payment Services -- Monitoring -- Conclusion and Future Research -- Securitization -- Pricing and Hedging with Liquidity Risk -- A Central Counterparty for Over-the-Counter Derivatives -- Derivatives and Transparency -- Banking for Small and Medium-Sized Firms -- Author Index.
Abstract:
Financial engineering is defined as the application of mathematical methods to the solution of problems in finance. The recent financial crisis raised many challenges for financial engineers: not only were financially engineered products such as collateralized debt obligations and credit default swaps implicated in causing the crisis, but the risk management techniques developed by financial engineers appeared to fail when they were most desperately needed. This book is the first in a series describing research by a multidisciplinary team of economists, mathematicians and control theorists exploring new research directions in financial engineering. It is broadly divided into three parts. The first part of the book reviews recent developments of real options; an application of the theory of financial options to capital investments with the emphasis on flexibility. Topics covered include the technique of variational inequalities, the use of forward and backward stochastic differential equations and the application of a real option approach to a consumption and portfolio selection problem.The second part of the book presents new topics, including simultaneous control of dividend payments and risk management, risk measures and non-linear probability models and a survey of recent studies on market microstructure. The last part of the volume proposes a new perspective. The availability and success of mathematical tools has attracted many talented people to the financial services industry. This examination of the way in which they are approaching current and future challenges will be of interest to all those working in the field of financial engineering.
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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