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Hedge and speculate: replicating option payoffs with limit and market orders

Abstract:

We consider an agent who takes a short position in a contingent claim and employs limit orders (LOs) and market orders (MOs) to trade in the underlying asset to maximize expected utility of terminal wealth. The agent solves a combined optimal stopping and control problem where trading has frictions: MOs (executed by the agent and other traders) have permanent price impact and pay exchange fees, and LOs earn the spread (relative to the midprice of the asset) and pay no exchange fees. We show h...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1137/18M1192706

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
ORCID:
0000-0002-7426-4645
Publisher:
Society for Industrial and Applied Mathematics Publisher's website
Journal:
SIAM Journal on Financial Mathematics Journal website
Volume:
10
Issue:
3
Pages:
790–814
Publication date:
2019-09-17
Acceptance date:
2019-06-14
DOI:
EISSN:
1945-497X
Language:
English
Keywords:
Pubs id:
pubs:1015712
UUID:
uuid:405c3eb3-130f-4e67-bff0-223c4f6e980a
Local pid:
pubs:1015712
Source identifiers:
1015712
Deposit date:
2019-06-18

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