Applied mathematics and finance

Author:

Abstract

My aim is to make some comments of a quite general nature about the relation between applied mathematics and finance, theoretical and practical. I shall begin with a brief description of a case in which ‘technology transfer’ from a quite different area of mathematics, the Stefan problem, was helpful with a financial problem, namely the Black-Scholes approach to an American option. I then discuss some more general issues about the role of this kind of mathematics in finance and suggest some possible avenues for future progress.

Publisher

The Royal Society

Subject

Pharmacology (medical),Complementary and alternative medicine,Pharmaceutical Science

Reference15 articles.

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4. Dewynne J. N. & Wilmott P. 1994 A note on average rate options with discrete sampling. SIAM Jl appl. Math. (In the press.)

5. Duffie D. 1992 Dynamic asset pricing theory. Princeton.

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