Homepage » 課程專區 » 理學院 » 應用數學系 » 財務數學導論(二) Introduction to Financial Mathematics II | 應用數學系 吳慶堂老師 » 單元十一 Continuous-Time Models, 11.1 Market portfolios and arbitrage
週次 | 課程內容 | 課程影音 |
---|---|---|
單元七 Coutinuous-time Martingales 7.1 Stochastic process (1/2) | 線上觀看 | |
7.1 Stochastic process (2/2) | 線上觀看 | |
7.2 Uniform integrability | 線上觀看 | |
7.3 Martingale theory in continuous-time | 線上觀看 | |
7.4 Local martingales | 線上觀看 | |
7.5 Doob-Meyer decomposition | 線上觀看 | |
7.6 Semimartingales | 線上觀看 | |
單元八 Brownian Motions 8.1 Scaled random walk | 線上觀看 | |
8.2 Brownian motions | 線上觀看 | |
8.3 The Brownian sample paths | 線上觀看 | |
8.4 Exponential martingales | 線上觀看 | |
8.5 d-dimensional Brownian motions | 線上觀看 | |
單元九 Stochastic Integrals 9.1 Construction of stochastic integrals with respect to martingales (1/3) | 線上觀看 | |
9.1 Construction of stochastic integrals with respect to martingales (2/3) | 線上觀看 | |
9.1 Construction of stochastic integrals with respect to martingales (3/3) | 線上觀看 | |
9.2 Stochastic integrals with respect to semimartingales | 線上觀看 | |
9.3 Stochastic integrals with respect to local martingales | 線上觀看 | |
9.4 Itô formula (1/2) | 線上觀看 | |
9.4 Itô formula (2/2) | 線上觀看 | |
9.5 Integration by parts | 線上觀看 | |
9.6 Martingale representation theorem | 線上觀看 | |
9.7 Change of Measures | 線上觀看 | |
9.8 Girsanov theorem | 線上觀看 | |
9.9 Local times | 線上觀看 | |
單元十 Stochastic Differential Equations 10.1 Examples and some solution methods (1/2) | 線上觀看 | |
10.1 Examples and some solution methods (2/2) | 線上觀看 | |
10.2 An existence and uniqueness result | 線上觀看 | |
10.3 Weak and strong solutions | 線上觀看 | |
10.4 Feynman-Kac theorem | 線上觀看 | |
單元十一 Continuous-Time Models 11.1 Market portfolios and arbitrage | 線上觀看 | |
11.2 Equivalent local martingale measures | 線上觀看 | |
11.3 Completeness | 線上觀看 | |
11.4 Pricing for attainable contingent claim | 線上觀看 | |
11.5 Black-Scholes-Merton formula | 線上觀看 | |
11.6 The Greeks | 線上觀看 | |
11.7 Parity rrelations | 線上觀看 | |
單元十二 Hedging 12.1 Hedging strategy for the simple contingent claim 12.2 Delta and gamma hedging | 線上觀看 | |
Appendix F、Characteristic Functions | 線上觀看 | |
Appendix G、Differntial Equations | 線上觀看 | |
Appendix H、Convex Analysis | 線上觀看 |