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Inverse problem and concentration method of a continuous-in-time financial model

Tarik Chakkour and Emmanuel Frénod ()
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Tarik Chakkour: Laboratory of Mathematics of Atlantic Brittany, University of Bretagne-Sud, UMR 6205, LMBA, F-56000 Vannes, France
Emmanuel Frénod: Laboratory of Mathematics of Atlantic Brittany, University of Bretagne-Sud, UMR 6205, LMBA, F-56000 Vannes, France

International Journal of Financial Engineering (IJFE), 2016, vol. 03, issue 02, 1-20

Abstract: In a continuous-in-time model, there is an important financial quantity called Loan which cannot be determined directly in terms of algebraic spending but has a major impact on the financial strategy. In this paper, we use a mathematical framework to discuss an inverse problem of determining the implied Loan Measure from Algebraic Spending Measure when it is possible. In addition, we build a numerical method to concentrate a measure as a sum of Dirac masses.

Keywords: Inverse problem; financial model; concentrated measure; mathematical model (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (1)

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DOI: 10.1142/S242478631650016X

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