The Handbook of Portfolio Mathematics Formulas for Optimal Allocation Leverage 1st Edition by Ralph Vince – Ebook PDF Instant Download/Delivery: 0471757683, 9780471757689
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Product details:
ISBN 10: 0471757683
ISBN 13: 9780471757689
Author: Ralph Vince
“For the serious investor, trader, or money manager, this book takes a rewarding look into modern portfolio theory. Vince introduces a leverage-space portfolio model, tweaks it for the drawdown probability, and delivers a superior model. He even provides equations to maximize returns for a chosen level of risk. So if you’re serious about making money in today’s markets, buy this book. Read it. Profit from it.”
—Thomas N. Bulkowski, author, Encyclopedia of Chart Patterns
“This is an important book. Though traders routinely speak of their ‘edge’ in the marketplace and ways of handling ‘risk,’ few can define and measure these accurately. In this book, Ralph Vince takes readers step by step through an understanding of the mathematical foundations of trading, significantly extending his earlier work and breaking important new ground. His lucid writing style and liberal use of practical examples make this book must reading.”
—Brett N. Steenbarger, PhD, author, The Psychology of Trading and Enhancing Trader Performance
“Ralph Vince is one of the world’s foremost authorities on quantitative portfolio analysis. In this masterly contribution, Ralph builds on his early pioneering findings to address the real-world concerns of money managers in the trenches-how to systematically maximize gains in relation to risk.”
—Nelson Freeburg, Editor, Formula Research
“Gambling and investing may make strange bedfellows in the eyes of many, but not Ralph Vince, who once again demonstrates that an open mind is the investor’s most valuable asset. What does bet sizing have to do with investing? The answer to that question and many more lie inside this iconoclastic work. Want to make the most of your investing skills Open this book.”
—John Bollinger, CFA, CMT, www.BollingerBands.com
The Handbook of Portfolio Mathematics Formulas for Optimal Allocation Leverage 1st Table of contents:
Part I: Theory
Chapter 1: The Random Process and Gambling Theory
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Independent versus Dependent Trials Processes
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Mathematical Expectation
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Exact Sequences, Possible Outcomes, and the Normal Distribution
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Possible Outcomes and Standard Deviations
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The House Advantage
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Mathematical Expectation Less than Zero Spells Disaster
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Baccarat
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Numbers
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Pari-Mutuel Betting
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Winning and Losing Streaks in the Random Process
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Determining Dependency
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The Runs Test, Z Scores, and Confidence Limits
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The Linear Correlation Coefficient
Chapter 2: Probability Distributions
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The Basics of Probability Distributions
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Descriptive Measures of Distributions
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Moments of a Distribution
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The Normal Distribution
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The Central Limit Theorem
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Working with the Normal Distribution
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Normal Probabilities
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Further Derivatives of the Normal
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The Lognormal Distribution
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The Uniform Distribution
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The Bernoulli Distribution
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The Binomial Distribution
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The Geometric Distribution
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The Hypergeometric Distribution
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The Poisson Distribution
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The Exponential Distribution
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The Chi-Square Distribution
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The Chi-Square “Test”
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The Student’s Distribution
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The Multinomial Distribution
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The Stable Paretian Distribution
Chapter 3: Reinvestment of Returns and Geometric Growth Concepts
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To Reinvest Trading Profits or Not
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Measuring a Good System for Reinvestment—The Geometric Mean
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Estimating the Geometric Mean
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How Best to Reinvest
Chapter 4: Optimal f
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Optimal Fixed Fraction
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Asymmetrical Leverage
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Kelly
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Finding the Optimal f by the Geometric Mean
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To Summarize Thus Far
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How to Figure the Geometric Mean Using Spreadsheet Logic
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Geometric Average Trade
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A Simpler Method for Finding the Optimal f
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The Virtues of the Optimal f
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Why You Must Know Your Optimal f
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Drawdown and Largest Loss with f
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Consequences of Straying Too Far from the Optimal f
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Equalizing Optimal f
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Finding Optimal f via Parabolic Interpolation
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The Next Step
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Scenario Planning
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Scenario Spectrums
Chapter 5: Characteristics of Optimal f
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Optimal f for Small Traders Just Starting Out
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Threshold to Geometric
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One Combined Bankroll versus Separate Bankrolls
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Treat Each Play as If Infinitely Repeated
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Efficiency Loss in Simultaneous Wagering or Portfolio Trading
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Time Required to Reach a Specified Goal and the Trouble with Fractional f
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Comparing Trading Systems
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Too Much Sensitivity to the Biggest Loss
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The Arc Sine Laws and Random Walks
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Time Spent in a Drawdown
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The Estimated Geometric Mean (or How the Dispersion of Outcomes Affects Geometric Growth)
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The Fundamental Equation of Trading
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Why Is f Optimal?
Chapter 6: Laws of Growth, Utility, and Finite Streams
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Maximizing Expected Average Compound Growth
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Utility Theory
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The Expected Utility Theorem
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Characteristics of Utility Preference Functions
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Alternate Arguments to Classical Utility Theory
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Finding Your Utility Preference Curve
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Utility and the New Framework
Chapter 7: Classical Portfolio Construction
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Modern Portfolio Theory
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The Markowitz Model
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Definition of the Problem
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Solutions of Linear Systems Using Row-Equivalent Matrices
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Interpreting the Results
Chapter 8: The Geometry of Mean Variance Portfolios
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The Capital Market Lines (CMLs)
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The Geometric Efficient Frontier
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Unconstrained Portfolios
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How Optimal f Fits In
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Completing the Loop
Chapter 9: The Leverage Space Model
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Why This New Framework Is Better
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Multiple Simultaneous Plays
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A Comparison to the Old Frameworks
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Mathematical Optimization
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The Objective Function
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Mathematical Optimization versus Root Finding
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Optimization Techniques
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The Genetic Algorithm
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Important Notes
Chapter 10: The Geometry of Leverage Space Portfolios
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Dilution
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Reallocation
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Portfolio Insurance and Optimal f
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Upside Limit on Active Equity and the Margin Constraint
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f Shift and Constructing a Robust Portfolio
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Tailoring a Trading Program through Reallocation
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Gradient Trading and Continuous Dominance
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Important Points to the Left of the Peak in the n + 1 Dimensional Landscape
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Drawdown Management and the New Framework
Part II: Practice
Chapter 11: What the Professionals Have Done
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Commonalities
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Differences
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Further Characteristics of Long-Term Trend Followers
Chapter 12: The Leverage Space Portfolio Model in the Real World
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Tags: Ralph Vince, Portfolio Mathematics, Optimal Allocation


