4.3d Derivative instruments - the mathematics of Black Scholes - PDE solutions 3
This paper covers:
· Applying the Kolmogorov equations to Black Scholes
· Implicit representation of the forward Kolmogorov equation
· The Feynman-Kac stochastic representation theorem
· An alternative derivation of the Black Scholes PDE
· Implications for risk-neutral pricing
· Analytic solutions of the Black Scholes and Black PDEs
· An example bespoke product
· Analytic hedging ratios
· Monte Carlo solutions
This paper has 17 pages and the Excel has 3 sheets