Integration Theory in Financial Mathematics
P. Muldowney, W. Wojdowski
A short paper on how integration theory supports the pricing of options and other derivatives since the work of Black, Scholes and Merton. Useful for readers curious about the math under the pricing formulas.
Loading the book...
Keep reading
-
Next in this topic
Stochastic Calculus: An Introduction with ApplicationsA clear introduction to stochastic calculus by a leading probabilist, from discrete martingales and Brownian motion to Itô's formula and stochastic differential equations. Examples from finance appear throughout, with exercises in every chapter.
Verified PDF · Secure download - Lectures on Stochastic Calculus with Applications to Finance
A course book that goes from option pricing basics to martingales, Brownian motion, Wiener and Itô integrals and Itô's formula. It ends by deriving and solving the Black-Scholes partial differential equation.
Verified PDF · Secure download - Advanced Financial Mathematics: Lecture Notes
Graduate lecture notes on continuous-time finance: options and arbitrage, the Black-Scholes model, stochastic integration and pricing in complete markets. A solid bridge between probability theory and financial models.
Verified PDF · Secure download - Stochastic Calculus
Lecture notes on Brownian motion, local martingales, Itô integration, Itô's formula and stochastic differential equations. Rigorous and compact, with pointers to the standard references.
Verified PDF · Secure download - Lecture Notes on Stochastic Analysis for Finance
Covers the core of stochastic analysis, including Itô's formula, martingale representation and Girsanov's theorem, then moves to stochastic differential equations and the Feynman-Kac formula. The final part applies these tools to quantitative finance.
Verified PDF · Secure download