| | | 金融數學中的帶跳隨機微分方程數值解 | 該商品所屬分類:圖書 -> 成人考試 | 【市場價】 | 806-1168元 | 【優惠價】 | 504-730元 | 【作者】 | E普蘭頓 | 【出版社】 | 世界圖書出版公司 | 【ISBN】 | 9787510071188 | 【折扣說明】 | 一次購物滿999元台幣免運費+贈品 一次購物滿2000元台幣95折+免運費+贈品 一次購物滿3000元台幣92折+免運費+贈品 一次購物滿4000元台幣88折+免運費+贈品
| 【本期贈品】 | ①優質無紡布環保袋,做工棒!②品牌簽字筆 ③品牌手帕紙巾
| |
版本 | 正版全新電子版PDF檔 | 您已选择: | 正版全新 | 溫馨提示:如果有多種選項,請先選擇再點擊加入購物車。*. 電子圖書價格是0.69折,例如了得網價格是100元,電子書pdf的價格則是69元。 *. 購買電子書不支持貨到付款,購買時選擇atm或者超商、PayPal付款。付款後1-24小時內通過郵件傳輸給您。 *. 如果收到的電子書不滿意,可以聯絡我們退款。謝謝。 | | | | 內容介紹 | |
出版社:世界圖書出版公司 ISBN:9787510071188 商品編碼:13132946126 品牌:文軒 出版時間:2017-01-01 代碼:125 作者:E.普蘭頓,(
" 作 者:(澳)E.普蘭頓(Eckhard Platen),(澳)N.利伯蒂-布魯迪(Nicola Bruti-Liberati) 著 著 定 價:125 出 版 社:世界圖書出版公司 出版日期:2017年01月01日 頁 數:856 裝 幀:平裝 ISBN:9787510071188 ●Preface Suggestions for the Reader Basic Notation Motivation and Brief Survey 1 Stochastic Differential Equations with Jumps 1.1 Stochastic Processes 1.2 Supermartingales and Martingajes 1.3 Quadratic Variation and Covariation 1.4 Ito Integral 1.5 Ito Formula 1.6 Stochastic Differential Equations 1.7 Linear SDEs 1.8 SDEs with Jumps 1.9 Existence and Uniqueness of Solutions of SDEs 1.10 Exercises 2 Exact Simulation of Solutions of SDEs 2.1 Motivation of Exact Simulation 2.2 Sampling from Transition Distributions 2.3 Exact Solutions of lti—dimensional SDEs 24 Functions of Exact Solutions 2.5 Almost Exact Solutions by Conditioning 2.6 Almost Exact Simulation by Time Change 2.7 Functionals of Solutions of SDEs 2.8 Exercises 3 Benchmark Approach to Finance and Insurance 3.1 Market Model 3.2 Best Performing Portfolio 3.3 Supermartingale Property and Pricing 3.4 Diversification 3.5 Real World Pricing Under Some Models 3.6 Real World Pricing Under the MMM 3.7 Binomial Option Pricing 3.8 Exercises 4 Stochastic Expansions 4.1 Introduction to Wagner—Platen Expansions 4.2 ltiple Stochastic Integrals 4.3 Coefficient Functions 4.4 Wagner—Platen Expansions 4.5 Moments of ltiple Stochastic Integrals 4.6 Exercises 5 Introduction to Scenario Simulation 5.1 Approximating Solutions of ODEs 5.2 Scenario Simulation 5.3 Strong Taylor Schemes 5.4 Derivative—Free Strong Schemes 5.5 Exercises 6 Regular Strong Taylor Approximations with Jumps 6.1 Discrete—Time Approximation 6.2 Strong Order 1.0 Taylor Scheme 6.3 Conunutativity Conditions 6.4 Convergence Results 6.5 Lemma on ltiple Ito Integrals 6.6 Proof of the Convergence Theorem 6.7 Exercises 7 Regular Strong Ito Approximations 7.1 Explicit Regular Strong Schemes 7.2 Drift—Implicit Schemes 7.3 Balanced Implicit Methods 7.4 Predictor—Corrector Schemes 7.5 Convergence Results 7.6 Exercises 8 Jump—Adapted Strong Approximations 8.1 Introduction to Jump—Adapted Approximations 8.2 Jump—Adapted Strong Taylor Schemes 8.3 Jump—Adapted Derivative—Free Strong Schemes 8.4 Jump—Adapted Drift—Implicit Schemes 8.5 Predictor—Corrector Strong Schemes 8.6 Jump—Adapted Exact Simulation 8.7 Convergence Results 8.8 Numerical Results on Strong Schemes 8.9 Approximation of Pure Jump Processes 8.10 Exercises 9 Estimating Discretely Observed Diffusions 9.1 Maximum Likelihood Estimation 9.2 Discretization of Estimators 9.3 Transform Functions for Diffusions 9.4 Estimation of Affine Diffusions 9.5 Asymptotics of Estimating Functions 9.6 Estimating Jump Diffusions 9.7 Exercises 10 Filtering 10.1 Kalman—Bucy Filter 10.2 Hidden Markov Chain Filters 10.3 Filtering a Mean Reverting Process 10.4 Balanced Method in Filtering 10.5 A Benchmark Approach to Filtering in Finance 10.6 Exercises 11 Monte Carlo Simulation of SDEs 11.1 Introduction to Monte Carlo Simulation 11.2 Weak Taylor Schemes 11.3 Derivative—Free Weak Approximations 11.4 Extrapolation Methods 11.5 Implicit and Predictor—Corrector Methods 11.6 Exercises 12 Regular Weak Taylor Approximations 12.1 Weak Taylor Schemes 12.2 Commutativity Conditions 12.3 Convergence Results 12.4 Exercises 13 Jump—Adapted Weak Approximations 13.1 Jump—Adapted Weak Schemes 13.2 Derivative—Free Schemes 13.3 Predictor—Corrector Schemes 13.4 Some Jump—Adapted Exact Weak Schemes 13.5 Convergence of Jump—Adapted Weak Taylor Schemes 13.6 Convergence of Jump—Adapted Weak Schemes 13.7 Numerical Results on Weak Schemes 13.8 Exercises 14 Numerical Stability 14.1 Asymptotic p—Stability 14.2 Stability of Predictor—Corrector Methods 14.3 Stability of Some Implicit Methods 14.4 Stability of Simplified Schemes 14.5 Exercises 15 Martingale Representations and Hedge Ratios 15.1 General Contingent Claim Pricing 15.2 Hedge Ratios for One—dimensional Processes 15.3 Explicit Hedge Ratios 15.4 Martingale R,epresentation for Non—Smooth Payoffs 15.5 Absolutely Continuous Payoff Functions 15.6 Maximum of Several Assets 15.7 Hedge Ratios for Lookback Options 15.8 Exercises 16 Variance Reduction Techniques 16.1 Various Variance Reduction Methods 16.2 Measure Transformation Techniques 16.3 Discrete—Time Variance Reduced Estimators 16.4 Control Variates 16.5 HP Variance Reduction 16.6 Exercises 17 Trees and Markov Chain Approxirnations 17.1 Numerical Effects of Tree Methods 17.2 Efficiency of Simplified Schemes 17.3 Higher Order Markov Chain Approximations 17.4 Finite Difference Methods 17.5 ConvergenCP, Theorem for Markov Chains 17.6 Exercises 18 Solutions for Exercises Acknowledgements Bibliographical Notes References Author Index Index 《金融數學中的帶跳隨機微分方程數值解》主要闡述Wiener和 sion過程或者 sion跳度形成的隨機微分方程的離散時間分散值的設計和分析。在金融和精算模型中及其他應用領域,這樣的跳躍擴散常被用來描述不同狀態變量的動態。在金融領域,這些可能代表資產價格,信用等級,股票指數,利率,外彙彙率或商品價格。本書主要介紹離散隨機方程的近似離散值解的有效性和數值穩定性。 (澳)E.普蘭頓(Eckhard Platen),(澳)N.利伯蒂-布魯迪(Nicola Bruti-Liberati) 著 著 Eckhard Platen , Nicola Bruti-Liberati都是澳大利亞的金融統計領域的學者。
" | | | | | |