Self-Financing Trading and the Ito-Doeblin Lemma

3 Pages Posted: 13 Jan 2015

See all articles by Chris Kenyon

Chris Kenyon

MUFG Securities EMEA plc; University College London

Andrew David Green

Scotiabank

Date Written: January 11, 2015

Abstract

The objective of the note is to remind readers on how self-financing works in Quantitative Finance. The authors have observed continuing uncertainty on this issue which may be because it lies exactly at the intersection of stochastic calculus and finance. The concept of a self-financing trading strategy was originally, and carefully, introduced in (Harrison and Kreps 1979) and expanded very generally in (Harrison and Pliska 1981).

Keywords: self-financing trading strategy; stochastic calculus; finance; hedging

JEL Classification: A22, A23, G12, G13

Suggested Citation

Kenyon, Chris and Green, Andrew David, Self-Financing Trading and the Ito-Doeblin Lemma (January 11, 2015). Available at SSRN: https://ssrn.com/abstract=2548676 or http://dx.doi.org/10.2139/ssrn.2548676

Chris Kenyon (Contact Author)

MUFG Securities EMEA plc ( email )

25 Ropemaker St
London, EC2Y 9AJ
United Kingdom

University College London ( email )

Gower Street
London, WC1E 6BT
United Kingdom

Andrew David Green

Scotiabank ( email )

201 Bishopsgate
London, London EC2M 3NS
United Kingdom

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