The Mathematics of Financial Modelingand Investment Management

(Brent) #1

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


x Contents

CHAPTER 16
Portfolio Selection Using Mean-Variance Analysis 471

Diversification as a Central Theme in Finance 472

Markowitz’s Mean-Variance Analysis 474

Capital Market Line 477

Deriving the Capital Market Line 478

What is Portfolio M? 481

Risk Premium in the CML 482

The CML and the Optimal Portfolio 482

Utility Functions and Indifference Curves 482

Selection of the Optimal Portfolio 484

Extension of the Markowitz Mean-Variance Model to
Inequality Constraints 485

A Second Look at Portfolio Choice 487

The Return Forecast 487

The Utility Function 488

Optimizers 490

A Global Probabilistic Framework for Portfolio Selection 490

Relaxing the Assumption of Normality 491

Multiperiod Stochastic Optimization 492

Application to the Asset Allocation Decision 494

The Inputs 495

Portfolio Selection: An Example 500

Inclusion of More Asset Classes 503

Extensions of the Basic Asset Allocation Model 507

Summary 509

CHAPTER 17
Capital Asset Pricing Model 511

CAPM Assumptions 512

Systematic and Nonsystematic Risk 513

Security Market Line 516

Estimating the Characteristic Line 518

Testing The CAPM 518

Deriving the Empirical Analogue of the CML 518

Empricial Implications 519

General Findings of Empirical Tests of the CAPM 520

A Critique of Tests of the CAPM 520

Merton and Black Modifications of the CAPM 521

CAPM and Random Matrices 522

The Conditional CAPM 523

Beta, Beta Everywhere 524

The Role of the CAPM in Investment Management Applications 525

Summary 526

CHAPTER 18
Multifactor Models and Common Trends for Common Stocks 529

Multifactor Models 530

Determination of Factors 532
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