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An Actuarial Mathematics Approach to Option Pricing

Authors: Filippo Fratini;

An Actuarial Mathematics Approach to Option Pricing

Abstract

We derive and test a new option pricing method based on statistics. We show how such a method allows to a) analytically price options with risk measures - such as Value-at-Risk or Expected Shortfall - on assets with stochastic volatility; and b) build several new structural models for the credit spread. We discuss how the method entails a new put-call parity relation, and how the option price is affected by the issuer’s credit spread. Finally, we discuss several extensions to the formalism developed here, such as to assets with interdependencies, and to any model for the asset’s returns distribution.

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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
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