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    RISK ANALYSIS TECHNIQUES FOR TRADERS  關(guān)閉 [推廣有獎(jiǎng)]

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    THE MATHEMATICS OF MONEY MANAGEMENT:
    RISK ANALYSIS TECHNIQUES FOR TRADERS
    by Ralph Vince

    1. Investment analysis! Mathematics. 
    2. Risk management! Mathematics
    3. Program trading (Securities)

    Index
    Parametric Approach..............................................................
    Introduction........................................................................................5
    Estimating Volatility..........................................................
    Scope of this book..........................................................................5
    Ruin, Risk and Reality........................................................
    Some prevalent misconceptions.......................................................6
    Option pricing models........................................................
    Worst-case scenarios and stategy.....................................................6
    A European options pricing model for all distributions.........
    Mathematics notation......................................................................7
    The single long option and optimal f...................................
    Synthetic constructs in this text.......................................................7
    The single short option.......................................................
    Optimal trading quantities and optimal f..........................................8
    The single position in The Underlying Instrument...............
    Chapter 1-The Empirical Techniques...................................................9
    Multiple simultaneous positions with a causal relationship...
    Deciding on quantity.......................................................................9
    Multiple simultaneous positions with a random relationship.
    Basic concepts................................................................................9
    Chapter 6 - Correlative Relationships and the Derivation of th
    The runs test.................................................................................10
    Frontier..................................................................................
    Serial correlation..........................................................................11
    Definition of The Problem..................................................
    Common dependency errors..........................................................12
    Solutions of Linear Systems using Row-Equivalent Matrice
    Mathematical Expectation.............................................................13
    Interpreting The Results......................................................
    To reinvest trading profits or not...................................................14
    Chapter 7 - The Geometry of Portfolios...................................
    Measuring a good system for reinvestment the Geometric Mean....14
    The Capital Market Lines (CMLs)......................................
    How best to reinvest.....................................................................15
    The Geometric Efficient Frontier........................................
    Optimal fixed fractional trading....................................................15
    Unconstrained portfolios.....................................................
    Kelly formulas..............................................................................16
    How optimal f fits with optimal portfolios...........................
    Finding the optimal f by the Geometric Mean................................16
    Threshold to The Geometric for Portfolios..........................
    To summarize thus far..................................................................17
    Completing The Loop.........................................................
    Geometric Average Trade.............................................................17
    Chapter 8 - Risk Management.................................................
    Why you must know your optimal f...............................................18
    Asset Allocation.................................................................
    The severity of drawdown.............................................................18
    Reallocation: Four Methods................................................
    Modern portfolio theory................................................................19
    Why reallocate?..................................................................
    The Markovitz model....................................................................19
    Portfolio Insurance ¨ The Fourth Reallocation Technique....
    The Geometric Mean portfolio strategy.........................................21
    The Margin Constraint........................................................
    Daily procedures for using optimal portfolios................................21
    Rotating Markets................................................................
    Allocations greater than 100%.......................................................22
    To summarize....................................................................
    How the dispersion of outcomes affects geometric growth.............23
    Application to Stock Trading..............................................
    The Fundamental Equation of trading............................................24
    A Closing Comment...........................................................
    Chapter 2 - Characteristics of Fixed Fractional Trading and Salutary
    APPENDIX A - The Chi-Square Test......................................
    Techniques.......................................................................................26
    APPENDIX B - Other Common Distributions.........................
    Optimal f for small traders just starting out....................................26
    The Uniform Distribution...................................................
    Threshold to geometric.................................................................26
    The Bernouli Distribution...................................................
    One combined bankroll versus separate bankrolls..........................27
    The Binomial Distribution..................................................
    Threat each play as if infinitely repeated........................................28
    The Geometric Distribution................................................
    Efficiency loss in simultaneous wagering or portfolio trading.........28
    The Hypergeometric Distribution........................................
    Time required to reach a specified goal and the trouble with fractional
    The Poisson Distribution.....................................................
    f...................................................................................................29
    The Exponential Distribution..............................................
    Comparing trading systems...........................................................30
    The Chi-Square Distribution...............................................
    Too much sensivity to the biggest loss...........................................30
    The Student's Distribution...................................................
    Equalizing optimal f.....................................................................31
    The Multinomial Distribution.............................................
    Dollar averaging and share averaging ideas...................................32
    The stable Paretian Distribution..........................................
    The Arc Sine Laws and random walks...........................................33
    APPENDIX C - Further on Dependency: The Turning Points a
    Time spent in a drawdown............................................................34
    Length Tests...........................................................................
    Chapter 3 - Parametric Optimal f on the Normal Distribution.............35
    The basics of probability distributions...........................................35
    Descriptive measures of distributions............................................35
    Moments of a distribution.............................................................36
    The Normal Distribution...............................................................37
    The Central Limit Theorem...........................................................38
    Working with the Normal Distribution..........................................38
    Normal Probabilities.....................................................................39
    Further Derivatives of the Normal.................................................41
    The Lognormal Distribution..........................................................41
    The parametric optimal f...............................................................42
    The distribution of trade P&L's.....................................................43
    Finding optimal f on the Normal Distribution................................44
    The mechanics of the procedure....................................................45
    Chapter 4 - Parametric Techniques on Other Distributions..................49
    The Kolmogorov-Smirnov (K-S) Test...........................................49
    Creating our own Characteristic Distribution Function...................50
    Fitting the Parameters of the distribution.......................................52
    Using the Parameters to find optimal f...........................................54
    Performing "What Ifs"..................................................................56
    Equalizing f..................................................................................56
    Optimal f on other distributions and fitted curves...........................57
    Scenario planning.........................................................................57
    Optimal f on binned data...............................................................60
    Which is the best optimal f?..........................................................60

    Chapter 5 - Introduction to Multiple Simultaneous Positions under the
    Index
     
    Parametric Approach........................................................................62
    Estimating Volatility....................................................................62
    Ruin, Risk and Reality..................................................................63
    Option pricing models..................................................................63
    A European options pricing model for all distributions...................66
    The single long option and optimal f.............................................67
    The single short option.................................................................70
    The single position in The Underlying Instrument.........................71
    Multiple simultaneous positions with a causal relationship.............71
    Multiple simultaneous positions with a random relationship...........73
    Chapter 6 - Correlative Relationships and the Derivation of the Efficient
    Frontier............................................................................................74
    Definition of The Problem............................................................74
    Solutions of Linear Systems using Row-Equivalent Matrices.........77
    Interpreting The Results................................................................78
    Chapter 7 - The Geometry of Portfolios.............................................81
    The Capital Market Lines (CMLs)................................................81
    How best to reinvest.....................................................................15
    The Geometric Efficient Frontier..................................................82
    Unconstrained portfolios...............................................................84
    How optimal f fits with optimal portfolios.....................................85
    Threshold to The Geometric for Portfolios....................................86
    Completing The Loop...................................................................86
    Chapter 8 - Risk Management...........................................................89 
    Asset Allocation...........................................................................89
    Reallocation: Four Methods..........................................................91
    Why reallocate?............................................................................93
    Portfolio Insurance ¨ The Fourth Reallocation Technique..............93
    The Margin Constraint..................................................................96
    Rotating Markets..........................................................................97
    To summarize..............................................................................97
    How the dispersion of outcomes affects geometric growth.............23
    Application to Stock Trading........................................................98
    A Closing Comment.....................................................................98
    Chapter 2 - Characteristics of Fixed Fractional Trading and Salutary
    APPENDIX A - The Chi-Square Test..............................................100
    APPENDIX B - Other Common Distributions.................................101
    The Uniform Distribution...........................................................101

    The Bernouli Distribution...........................................................101
    The Binomial Distribution..........................................................102
    The Geometric Distribution........................................................103
    The Hypergeometric Distribution................................................104
    Time required to reach a specified goal and the trouble with fractional
    The Poisson Distribution.............................................................104
    The Exponential Distribution......................................................105
    The Chi-Square Distribution.......................................................105
    Too much sensivity to the biggest loss...........................................30
    The Student's Distribution...........................................................106
    The Multinomial Distribution.....................................................107
    The stable Paretian Distribution..................................................107
    APPENDIX C - Further on Dependency: The Turning Points and Phase
    Length Tests...................................................................................109

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