The Mathematics of Financial Modelingand Investment Management

(Brent) #1

Frontmatter Page xi Monday, March 8, 2004 10:06 AM


Contents xi

Dynamic Market Models of Returns 537

Estimation of State-Space Models 538

Dynamic Models for Prices 538

Estimation and Testing of Cointegrated Systems 543

Cointegration and Financial Time Series 544

Nonlinear Dynamic Models for Prices and Returns 546

Summary 549

CHAPTER 19
Equity Portfolio Management 551

Integrating the Equity Portfolio Management Process 551

Active versus Passive Portfolio Management 552

Tracking Error 553

Backward-Looking versus Forward-Looking Tracking Error 555

The Impact of Portfolio Size, Benchmark Volatility, and
Portfolio Beta on Tracking Error 556

Equity Style Management 560

Types of Equity Styles 560

Style Classification Systems 562

Passive Strategies 564

Constructing an Indexed Portfolio 564

Index Tracking and Cointegration 565

Active Investing 566

Top-Down Approaches to Active Investing 566

Bottom-Up Approaches to Active Investing 567

Fundamental Law of Active Management 568

Strategies Based on Technical Analysis 571

Nonlinear Dynamic Models and Chaos 573

Technical Analysis and Statistical Nonlinear
Pattern Recognition 574

Market-Neutral Strategies and Statistical Arbitrage 575

Application of Multifactor Risk Models 577

Risk Decomposition 577

Portfolio Construction and Risk Control 582

Assessing the Exposure of a Portfolio 583

Risk Control Against a Stock Market Index 587

Tilting a Portfolio 587

Summary 589

CHAPTER 20
Term Structure Modeling and Valuation of Bonds and Bond Options 593

Basic Principles of Valuation of Debt Instruments 594

Yield-to-Maturity Measure 596

Premium Par Yield 598

Reinvestment of Cash Flow and Yield 598

The Term Structure of the Interest Rates and the Yield Curve 599

Limitations of Using the Yield to Value a Bond 602

Valuing a Bond as a Package of Cash Flows 603

Obtaining Spot Rates from the Treasury Yield Curve 603

Using Spot Rates to the Arbitrage-Free Value of a Bond 606
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