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    12/5/2007

    Paul Wilmott's Books on Quantitative Finance

    Paul Wilmott在数量金融(Quantitative Finance)方面的书,跟Fabozzi(发包子)在固定收益(Fixed Income)方面的书一样有名,一样充满重复,不过捡来的声誉要高得多。现在有朋友问,他哪些书值得买(或者复印、打印),其实这个问题Paul写书之前——我看——就给出了答案。他最有名的书,Paul Wilmott on Quantitative Finance,以前是两卷本(2000,1064页),现在是三卷(2006,1500页),手头备一份就可以了。如果还嫌贵,Paul还准备了一册Paul Wilmott Introduces Quantitative Finance(2007,722页),是上面三卷本的精简版

    是已经够了。不过在国内,还偶尔能看到Paul的另一本Derivatives: the Theory and Practice of Financial Engineering(1998,768页),或者一册更薄的,The Mathematics of Financial Derivatives: A Student Introduction(1995,330页),这本小书又是他的Option Pricing: mathematical Methods and Computation(1994,457页)的缩写。

    这些书章节惊人的重复,大概看看下面的几个目录就可以决定取舍了:

    Paul Wilmott on Quantitative Finance三卷本(2006,1500页)

    第一卷

    1. Products and Markets
    2. Derivatives
    3. The Random Behavior of Assets
    4. Elementary Stochastic Calculus
    5. The Black-Scholes Model
    6. Partial Differential Equations
    7. The Black-Scholes Formulae and the 'Greeks'
    8. Simple Generalizations of the Black-Scholes World
    9. Early Exercise and American Options
    10. Probability Density Functions and First Exit Times
    11. Multi-asset Options
    12. How to Delta Hedge
    13. Fixed-income Products and Analysis: Yield, Duration and Convexity
    14. Swaps
    15. The Binomial Model
    16. How Accurate is the Normal Approximation?
    17. Investment Lessons from Blackjack and Gambling
    18. Portfolio Management
    19. Value at Risk
    20. Forecasting the Markets?
    21. A Trading Game

    第二卷

    22. An Introduction to Exotic and Path-dependent Options
    23. Barrier Options
    24. Strongly Path-dependent Options
    25. Asian Options
    26. Lookback Options
    27. Derivatives and Stochastic Control
    28. Miscellaneous Exotics
    29. Equity and FX Term Sheets
    30. One-factor Interest Rate Modeling
    31. Yield Curve Fitting
    32. Interest Rate Derivatives
    33. Convertible Bonds
    34. Mortgage-backed Securities
    35. Multi-factor Interest Rate Modeling
    36. Empirical Behavior of the Spot Interest Rate
    37. The Heath, Jarrow & Morton and Brace, Gatarek & Musiela Models
    38. Fixed Income Term Sheets
    39. Value of the Firm and the Risk of Default
    40. Credit Risk
    41. Credit Derivatives
    42. RiskMetrics and CreditMetrics
    43. CrashMetrics
    44. Derivatives **** Ups

    第三卷

    45. Financial Modeling
    46. Defects in the Black-Scholes Model
    47. Discrete Hedging
    48. Transaction Costs
    49. Overview of Volatility Modeling
    50. Volatility Smiles and Surfaces
    51. Stochastic Volatility
    52. Uncertain Parameters
    53. Empirical Analysis of Volatility
    54. Stochastic Volatility and Mean-variance Analysis
    55. Asymptotic Analysis of Volatility
    56. Volatility Case Study: The Cliquet Option
    57. Jump Diffusion
    58. Crash Modeling
    59. Speculating with Options
    60. Static Hedging
    61. The Feedback Effect of Hedging in Illiquid Markets
    62. Utility Theory
    63. More About American Options and Related Matters
    64. Advanced Dividend Modeling
    65. Serial Autocorrelation in Returns
    66. Asset Allocation in Continuous Time
    67. Asset Allocation Under Threat Of A Crash
    68. Interest-rate Modeling Without Probabilities
    69. Pricing and Optimal Hedging of Derivatives, the Non-probabilistic Model Cont'd
    70. Extensions to the Non-probabilistic Interest-rate Model
    71. Modeling Inflation
    72. Energy Derivatives
    73. Real Options
    74. Life Settlements and Viaticals
    75. Bonus Time
    76. Overview of Numerical Methods
    77. Finite-difference Methods for One-factor Models
    78. Further Finite-difference Methods for One-factor Models
    79. Finite-difference Methods for Two-factor Models
    80. Monte Carlo Simulation and Related Methods
    81. Numerical Integration and Simulation Methods
    82. Finite-difference Programs
    83. Monte Carlo Programs
    A. All the Math You Need… and No More (An Executive Summary)

    Paul Wilmott Introduces Quantitative Finance

    1 Products and Markets: Equities, Commodities, Exchange Rates, Forwards and Futures

    2 Derivatives

    3 The Binomial Model

    4 The Random Behavior of Assets

    5 Elementary Stochastic Calculus 

    6 The Black-Scholes Model

    7 Partial Differential Equations

    8 The Black-Scholes Formula and the 'Greeks'

    9 Overview of Volatility Modeling

    10 How to Delta Hedge

    11 An Introduction to Exotic and Path-dependent Options

    12 Multi-asset Options

    13 Barrier Options

    14 Fixed-income Products and Analysis: Yield, Duration and Convexity

    15 Swaps

    16 One-factor Interest Rate Modeling

    17 Yield Curve Fitting

    18 Interest Rate Derivatives

    19 The Heath, Jarrow & Morton and Brace, Gatarek & Musiela Models

    20 Investment Lessons from Blackjack and Gambling

    21 Portfolio Management

    22 Value at Risk

    23 Credit Risk

    24 RiskMetrics and CreditMetrics

    25 CrashMetrics

    26 Derivatives **** Ups

    27 Overview of Numerical Methods

    28 Finite-difference Methods for One-factor Models

    29 Monte Carlo Simulation

    30 Numerical Integration

    A All the Math You Need. . . and No More (An Executive Summary)

    B Forecasting the Markets? A Small Digression

    C A Trading Game

    D Contents of CD accompanying Paul Wilmott Introduces Quantitative Finance, second edition

    E What you get if (when) you upgrade to PWOQF2

    Bibliography

    Index

     

    The Mathematics of Financial Derivatives: A Student Introduction

    PART I: Basic Option Theory
    1. An Introduction to Options and Markets
    2. Asset Price Random Walks
    3. The Black-Scholes Model
    4. Partial Differential Equations
    5. The Black-Scholes Formulae
    6. Variations on the Black-Scholes Model
    7. American Options
    PART II: Numerical Methods
    8. Finite-Difference Methods
    9. Methods for American Options
    10. Binomial Methods
    PART III: Further Option Theory
    11. Exotic and Path-Dependent Options
    12. Barrier Options
    13. A Unifying Framework for Path-Dependent Options
    14. Asian Options
    15. Lookback Options
    16. Options with Transaction Costs
    PART IV: Interest Rate Derivative Products
    17. Interest rate Derivatives
    18. Convertible Bonds
    Hints to Selected Exercises
    Bibliography
    Index


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    Nov. 9
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