New Trends in Financial Engineering :Works under the Auspices of the World Class University Program of Ajou University ( Studies in Probability, Optimization and Statistics )

Publication subTitle :Works under the Auspices of the World Class University Program of Ajou University

Publication series : Studies in Probability, Optimization and Statistics

Author: Koo H.K.  

Publisher: Ios Press‎

Publication year: 2011

E-ISBN: 9781607508359

P-ISBN(Paperback): 9781607508342

Subject: F Economic

Keyword: 经济

Language: ENG

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Description

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

Chapter

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

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