Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/257883 
Year of Publication: 
2019
Citation: 
[Journal:] Risks [ISSN:] 2227-9091 [Volume:] 7 [Issue:] 2 [Article No.:] 45 [Publisher:] MDPI [Place:] Basel [Year:] 2019 [Pages:] 1-18
Publisher: 
MDPI, Basel
Abstract: 
While the main conceptual issue related to deposit insurances is the moral hazard risk, the main technical issue is inaccurate calibration of the implied volatility. This issue can raise the risk of generating an arbitrage. In this paper, first, we discuss that by imposing the no-moral-hazard risk, the removal of arbitrage is equivalent to removing the static arbitrage. Then, we propose a simple quadratic model to parameterize implied volatility and remove the static arbitrage. The process of removing the static risk is as follows: Using a machine learning approach with a regularized cost function, we update the parameters in such a way that butterfly arbitrage is ruled out and also implementing a calibration method, we make some conditions on the parameters of each time slice to rule out calendar spread arbitrage. Therefore, eliminating the effects of both butterfly and calendar spread arbitrage make the implied volatility surface free of static arbitrage.
Subjects: 
deposit insurance
implied volatility
static arbitrage
parameterization
machine learning
calibration
Persistent Identifier of the first edition: 
Creative Commons License: 
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Document Type: 
Article
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