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Advanced Stochastic Methods in Quantitative Finance: Beyond the Black-Scholes World: Jumps, Levy Processes, and Rough Paths
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Publisher: Independently Published
Published: Jan 7 2026
Pages: 566
Weight: 1.65
Height: 1.15 Width: 6.00 Depth: 9.00
Language: English
Advanced Stochastic Methods in Quantitative Finance goes beyond the classical assumptions that dominate traditional financial modeling and confronts the realities of modern markets. Moving past the Gaussian world of Brownian motion and Black-Scholes, this book provides a rigorous yet applied treatment of the stochastic structures that better capture jumps, heavy tails, volatility clustering, and path-dependent behavior observed in real asset prices.
Designed for quantitatively trained practitioners, researchers, and advanced students, the book introduces Lévy processes, jump-diffusion models, and infinitely divisible distributions as core building blocks for realistic market dynamics. It then progresses into contemporary frameworks such as rough volatility and rough path theory, explaining how these models reshape pricing, hedging, and risk management in environments where classical smoothness assumptions fail.
Rather than focusing on abstract theory alone, the text emphasizes intuition, mathematical structure, and financial interpretation. Readers will learn how and why these models outperform traditional approaches, where they break down, and how they are used in practice across derivatives pricing, volatility modeling, and risk systems. Each topic is positioned within the broader evolution of quantitative finance, highlighting the shift from closed-form elegance to structurally robust, data-consistent models.
This book is ideal for quants who already understand standard stochastic calculus and want to operate at the frontier of modern financial modeling, where uncertainty is discontinuous, volatility is rough, and markets are no longer well described by simple diffusion assumptions.
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Wired on Wall Street: The Rise and Fall of Tipper X, One of the Fbi's Most Prolific Informants
Hardin, Tom
Hardcover
The Currencies of Wellness: A Field Guide to the Unexpected Ways Brands Can Shape Everyday Well-Being
Nichols, Tricia
Paperback
Our Dollar, Your Problem: An Insider's View of Seven Turbulent Decades of Global Finance, and the Road Ahead
Rogoff, Kenneth
Paperback
Financial Literacy for All: Disrupting Struggle, Advancing Financial Freedom, and Building a New American Middle Class
Bryant, John Hope
Paperback
Investing 101: From Stocks and Bonds to Etfs and Ipos, an Essential Primer on Building a Profitable Portfolio
Cagan, Michele
Hardcover
The Tax and Legal Playbook: Game-Changing Solutions to Your Small Business Questions
Kohler, Mark
Paperback
The Infographic Guide to Personal Finance: A Visual Reference for Everything You Need to Know
Lariviere, Elisabeth
Cagan, Michele
Paperback
El Dinero No Es El Problema, Tú Lo Eres - Money is Not the Problem Spanish
Heer, Dain
Douglas, Gary M.
Paperback
Best Loser Wins: Why Normal Thinking Never Wins the Trading Game - Written by a High-Stake Day Trader
Hougaard, Tom
Paperback
No Loose Ends: The Smart & Slightly Morbid Guide to Estate Planning & End-Of-Life Tasks
Zuckerman, Adam
Hardcover
Stop Making Stupid Investments: 7 Rules to Avoid the Hype and Build Real Wealth
Leiter, David
Hardcover
Trade Like a Stock Market Wizard: How to Achieve Superperformance in Stocks in Any Market
Minervini, Mark
Hardcover
SEVENTEEN TO MILLIONAIRE You're Seventeen. You're Canadian. You wanna be rich. Let's do this.
Price, Douglas
Paperback
Easy Money: Cryptocurrency, Casino Capitalism, and the Golden Age of Fraud: The Basis for the Documentary Everyone Is Lying to You for Money
McKenzie, Ben
Silverman, Jacob
Paperback
The Capital Order: How Economists Invented Austerity and Paved the Way to Fascism
Mattei, Clara E.
Paperback
Maximize Your Retirement: The Only Book You'll Ever Need to Retire Prosperous and Worry-Free
Oh, Jae
Paperback
Sideways: Using the Power of Technical Analysis to Profit in Uncertain Times
Richards, Keith G.
Paperback
The Mental Game of Trading: A System for Solving Problems with Greed, Fear, Anger, Confidence, and Discipline
Tendler, Jared
Paperback
Mastering Private Equity: Transformation Via Venture Capital, Minority Investments and Buyouts
Zeisberger, Claudia
White, Bowen
Prahl, Michael
Hardcover
J.K. Lasser's Small Business Taxes 2026: Your Complete Guide to a Better Bottom Line
Weltman, Barbara
Paperback
Fooled by Randomness: The Hidden Role of Chance in Life and in the Markets
Taleb, Nassim Nicholas
Paperback
The Book on Rental Property Investing: How to Create Wealth with Intelligent Buy and Hold Real Estate Investing
Turner, Brandon
Paperback
The World for Sale: Money, Power, and the Traders Who Barter the Earth's Resources
Farchy, Jack
Blas, Javier
Hardcover
Como Gane $2,000,000 En La Bolsa / How I Made $2,000,000 in the Stock Market
Darvas, Nicolas
Paperback
Masters of the Universe: Winning Strategies of America's Greatest Dealmakers
Kadlec, Daniel J.
Paperback
Elliott Wave - Fibonacci High Probability Trading: Master The Wave Principle and Market Timing With Proven Strategies
Sanders, Jarrod
Paperback
Layered Money: From Gold and Dollars to Bitcoin and Central Bank Digital Currencies
Bhatia, Nik
Paperback
Money and Me: How to Make Your Finances Work Harder for You and Your Family
Clements, Jonathan
Paperback
Fixed: Why Personal Finance Is Broken and How to Make It Work for Everyone
Ramadorai, Tarun
Campbell, John Y.
Hardcover
The Accounting Game: Basic Accounting Fresh from the Lemonade Stand
Mullis, Darrell
Orloff, Judith
Paperback
You Can Be a Stock Market Genius: Uncover the Secret Hiding Places of Stock Market Profits
Greenblatt, Joel
Paperback
Covered Calls for Beginners: A Risk-Free Way to Collect "Rental Income" Every Single Month on Stocks You Already Own
Publications, Freeman
Paperback
A Richer Retirement: Supercharging the 4% Rule to Spend More and Enjoy More
Bengen, William P.
Hardcover