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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao zbMATH Openarrow_drop_down
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
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Article . 2025
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Article . 2025 . Peer-reviewed
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Optimal Spot Slides

Optimal spot slides
Authors: Madan, Dilip B.; Shirai, Yoshihiro; Wang, King;

Optimal Spot Slides

Abstract

Spot slides record the impact on the market value of existing positions in derivative markets in response to an immediate movement in the underlying asset’s spot price. The question of an optimal spot slide is then one of designing this response to be optimal among the set of possible risk exposure functions. Structurally as a nonzero constant cannot be an exposure, its role as a numeraire asset is replaced by the selection of a numeraire exposure. The design objective replaces expected utility that is not a financial objective by a monetary utility that we define to be a Financial Finance Objective (FFO). An FFO valuation, by virtue of being a market valuation, also avoids the use of physical probabilities in designing exposures. The FFO values risk by the maximal level of the numeraire exposure that may be extracted from a position subject to the resulting risk maintaining its acceptability. Risk acceptability is defined by a convex set that may or may not contain a convex cone larger the nonnegative variables. Such a larger cone is referred to as an embedded Conic Finance Cone (CFC). The absence of a CFC embedding limits risk taking and is a simpler design problem. The more general problem with a CFC embedding is numerically solved using Disciplined Saddle Point (DSP) programming. An FFO maximizes a conservative valuation obtained on minimizing over a set of admissible measure changes. Consequently the general problem is always a saddle point problem. We therefore envisage an enhanced role for DSP in finance with applications revising hedging, investment, and both active and passive wealth management strategies.

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Keywords

distorted expectations, CGMY model, measure distortions, Derivative securities (option pricing, hedging, etc.), bilateral gamma process, self-decomposable laws

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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