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6 votes
1 answer
5k views

Transformation of the Black-Scholes PDE into the diffusion equation - shift of coordinate system

The aim of transforming the Black-Scholes PDE is of course to find a form where an relatively easy solution exists. Most of the steps seem to be straightforward - please use this reference: https://...
vonjd's user avatar
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5 votes
1 answer
437 views

Elliptic PDEs in Finance

In mathematical finance, one often encounters parabolic PDEs typically through the Feynman-Kac representation theorem/formula. However, I'm curious are there interesting examples of Elliptic boundary ...
ABIM's user avatar
  • 5,405
4 votes
0 answers
198 views

Pricing zero coupon bonds through PDE

I'm currently studying Paul Wilmott on quantitative finance and saw an interesting idea for an interest rate model that went unexplored in the book. The idea is to model the market price of risk as a ...
David Hunt's user avatar