這門課程將涵蓋機率論、隨機過程、隨機微積分以及它們在各種衍生品評價中的應用。機率論將使學生理解隨機事件和機率分佈的基本概念，從而為後續的學習打下基礎。
隨機過程將介紹時間變化的隨機現象，例如布朗運動和隨機漫步，以及它們在金融市場中的應用。
隨機微積分將使學生瞭解如何對隨機過程進行微積分操作，並應用於金融衍生品的定價和風險管理。課程將強調理論知識與實際應用的結合，並通過案例研究和實際問題解決來加強學生的技能和理解。

This course will cover rate discussions, random processes, random microscores and their applications in various derivatives ratings. Opportunity discussion will enable students to understand the basic concepts of random events and probability distribution, thereby laying the foundation for subsequent learning.
Random processes will introduce random phenomena of time changes, such as Brownian sports and random walks, and their application in the financial market.
Random micro-score will allow students to understand how to perform micro-score operations on random processes and apply them to pricing and risk management of financial derivatives. The course will strengthen the combination of theoretical knowledge and practical applications and enhance students' skills and understanding through case studies and actual problem solving.

1. Shreve, S.E., Stochastic Calculus for Finance II Continuous-Time Models, Springer-Verlag, NY, 2004. (Textbook)
2. Musiela, M. and Rutkowski, M., Martingale Methods in Financial Modelling, Springer-Verlag, NY, 1997. (Reference)

1. Shreve, S.E., Stochastic Calculus for Finance II Continuous-Time Models, Springer-Verlag, NY, 2004. (Textbook)
2. Musiela, M. and Rutkowski, M., Martingale Methods in Financial Modelling, Springer-Verlag, NY, 1997. (Reference)