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Quantitative Finance. A Simulation-Based Introduction Using Excel de Matt Davison, 9781439871683, ECONOMÍA | MATEMÁTICAS, economía | matemáticas | estadística, Taylor and Francis, Inglés

Quantitative Finance. A Simulation-Based Introduction Using Excel

Matt Davison

EAN9781439871683

TématicaEconomía, Matemáticas

SubtématicaEconomía, Matemáticas, Estadística

EditorialTaylor and Francis

IdiomaInglés

FormatoCartoné   Año de publicación2014

 
Teach Your Students How to Become Successful Working Quants

Quantitative Finance: A Simulation-Based Introduction Using Excel provides an introduction to financial mathematics for students in applied mathematics, financial engineering, actuarial science, and business administration. The text not only enables students to practice with the basic techniques of financial mathematics, but it also helps them gain significant intuition about what the techniques mean, how they work, and what happens when they stop working.

After introducing risk, return, decision making under uncertainty, and traditional discounted cash flow project analysis, the book covers mortgages, bonds, and annuities using a blend of Excel simulation and difference equation or algebraic formalism. It then looks at how interest rate markets work and how to model bond prices before addressing mean variance portfolio optimization, the capital asset pricing model, options, and value at risk (VaR). The author next focuses on binomial model tools for pricing options and the analysis of discrete random walks. He also introduces stochastic calculus in a nonrigorous way and explains how to simulate geometric Brownian motion. The text proceeds to thoroughly discuss options pricing, mostly in continuous time. It concludes with chapters on stochastic models of the yield curve and incomplete markets using simple discrete models.

Accessible to students with a relatively modest level of mathematical background, this book will guide your students in becoming successful quants. It uses both hand calculations and Excel spreadsheets to analyze plenty of examples from simple bond portfolios. The spreadsheets are available on the book’s CRC Press web page.
Introduction

Intuition about Uncertainty and Risk

Introduction

Individual Attitudes toward Risk

The St. Petersburg Paradox

Looking Forward to Chapter 3

The Classical Approach to Decision Making under Uncertainty

Map to the Future

Valuing Investment Opportunities: The Discounted Cash Flow Method

Discounted Cash Flow Method for Evaluating Investment Opportunities

Conclusions

Repaying Loans Over Time

Introduction

Repaying a Loan over Time: Excel

Repaying a Loan over Time: Mathematics

First-Order Difference Equations

Solving the Loan Repayment Difference Equation

More Examples of Using Difference Equations to Find Loan Payments

Writing the Difference Equation in Forward versus Backward Forms

Bridges to the Future

Bond Pricing with Default: Using Simulations

Modeling a Defaultable Bond or Loan

Financial Insights

Simulating Loan Portfolios

What Happens if There Are a Large Number of Independent Loans?

Bridge to the Future

Bond Pricing with Default: Using Difference Equations

Risky Bonds

Using Difference Equations to Find C

Exploring the Insights Arising from Equation 7.5

Determining Recovery Rates

Determining the Probability of Default

A Bridge to the Future

Difference Equations for Life Annuities

Introduction

Tranching and Collateralized Debt Obligations

Collateralized Debt Obligations

Tranched Portfolios

The Detailed Calculation

Correlation of Two Identical Bonds

Conclusion

Bond CDOs: More Than Two Bonds, Correlation, and Simulation

Introduction

Using an Excel Simulation to Analyze CDOs with More Than Two Bonds

Collateralized Debt Obligations: An Example of Financial Engineering

The Binomial Simplification

Correlated Defaults

Fundamentals of Fixed Income Markets

What Are Bonds?

Getting Down to Quantitative Details

Simplest Bond Pricing Equation

How Bonds Are Traded in Canada

Clean and Dirty Bond Prices

Conclusion and Bridge to the Next

Yield Curves and Bond Risk Measures

Introduction

Constructing Yield Curves from Bond Prices

Bond Price Sensitivities to the Yield

Forward Rates

Introduction

Relationships between Forward Rates and the Yield Curve

Yield Curves, Discount Factors, and Forward Rates

Interpreting Forward Curves

Modeling Stock Prices

What Are Stocks?

Simple Statistical Analysis of Real Stock Data

Mean Variance Portfolio Optimization

Selecting Portfolios

CAPM and Markowitz

A Qualitative Introduction to Options

Stock Option Definitions

Uses for Put and Call Options

Qualitative Behavior of Puts and Calls

Value at Risk (VaR)

Introduction to Value at Risk

Pitfalls of VaR

Summary

Pricing Options Using Binomial Trees

Introduction

Binomia l Model

Single-Period Binomial Tree Model for Option Pricing

Extending the Binomial Model to Multiple Time Steps

Multiple-Step Binomial Trees

Summary

Random Walks

Introduction

Deriving the Diffusion Partial Differential Equation

Basic Stochastic Calculus

Basics of Stochastic Calculus

Stochastic Integration by Examples

Conclusions and Bridge to Next Chapters

Simulating Geometric Brownian Motion

Simulating GBM Stock Prices at a Single Future Time

Simulating a Time Sequence of GBM Stock Prices

Summary

Black Scholes PDE for Pricing Options in Continuous Time

Introduction

Hedging Argument

Call Price Solution of the Black Scholes Equation

Why Short Selling Is So Dangerous

Summary and Bridge to the Future

Solving the Black Scholes PDE

Solving the Black Scholes Partial PDE for a European Call

General European Option Payoffs: Risk-Neutral Pricing

Summary

Pricing Put Options Using Put Call Parity

Summary

Some Approximate Values of the Black Scholes Call Formula

Approximate Call Formulas at-the-Money

Approximate Call Values Near-the-Money

Approximate Call Values Far-from-the-Money

Simulating Delta Hedging

Introduction

How Does Delta Hedging Really Work?

Understanding the Results of the Delta Hedging Process

The Impact of Transaction Costs

A Hedgers Perspective on Option Gamma or, "Big Gamma" = "Big Money"

Bridge to the Future

Black Scholes with Dividends

Modeling Dividends

The Black Scholes PDE for the Continuously Paid Dividend Case

Pricing the Prepaid Forward on a Continuous Dividend Paying Stock

More Complicated Derivatives on Underlying Paying Continuous Dividends

American Options

Introduction and Binomial Pricing

American Puts

American Calls

Pricing the Perpetual American Put and Call

Perpetual Options: Underlying Pays No Dividends

Basic Perpetual American Call

Perpetual American Call/Put Model with Dividends

The Perpetual American Call, Continuous Dividends

Options on Multiple Underlying Assets

Exchange Options

Interest Rate Models

Setting the Stage for Stochastic Interest Rate Models

Pricing When You CANNOT Trade the Underlying Asset

Hedging Bonds in Continuous Time

Solving the Bond Pricing PDE

Vasicek Model

Summary

Incomplete Markets

Introduction to Incomplete Markets

Trying to Hedge Options on a Trinomial Tree

Minimum Variance Hedging of a European Option with Default

Binomial Tree Model with Default Risk

Appendix 1: Probability Theory Basics—Experiments, Sample Outcomes, Events, and Sample Space

Appendix 2: Proof of De Moivre–Laplace Theorem Using MGF

Appendix 3: Naming Variables in Excel

Appendix 4: Building VBA Macros from Excel

Index

Exercises and References appear at the end of each chapter.

PVP:  62,91 €

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