The Mathematics of Financial Modelingand Investment Management

(Brent) #1

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


Contents xiii

The Poisson Process 697

The Jarrow-Turnbull Model 698

Transition Matrix 703

The Duffie-Singleton Model 706

General Observations on Reduced Form Models 710

Pricing Single-Name Credit Default Swaps 710

General Framework 711

Survival Probability and Forward Default Probability:
A Recap 712

Credit Default Swap Value 713

No Need For Stochastic Hazard Rate or Interest Rate 716

Delivery Option in Default Swaps 716

Default Swaps with Counterparty Risk 717

Valuing Basket Default Swaps 718

The Pricing Model 718

How to Model Correlated Default Processes 722

Summary 734

CHAPTER 23
Risk Management 737

Market Completeness 738

The Mathematics of Market Completeness 739

The Economics of Market Completeness 742

Why Manage Risk? 744

Risk Models 745

Market Risk 745

Credit Risk 746

Operational Risk 746

Risk Measures 747

Risk Management in Asset and Portfolio Management 751

Factors Driving Risk Management 752

Risk Measurement in Practice 752

Getting Down to the Lowest Level 753

Regulatory Implications of Risk Measurement 754

Summary 755

INDEX 757
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