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Fake Geometric Brownian Motion And Its Option Pricing

Abstract:

In this thesis, we begin with introducing the notion of a fake geometric Brownian motion in analogy to the fake Brownian motion. Secondly we construct two discontinuous fake geometric Brownian motion processes via the solutions to the Skorokhod embedding problem. Finally we simulate European and path-dependent option pricings for stock prices following these processes, to see how different the results can be compared with the traditional Black & Scholes setting. Key words: fake Brownian ...

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Publisher:
oxford university;mathematical institute
Publication date:
2011-06-24
UUID:
uuid:8ea80f50-d88a-4e02-a9b2-fdeb27cf907d
Local pid:
oai:eprints.maths.ox.ac.uk:1385
Deposit date:
2011-08-15

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