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Hedging Derivatives on Two Assets with Model Risk

  • Koichi MatsumotoEmail author
  • Keita Shimizu
Original Research
First Online:
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Abstract

This paper studies a static hedging problem of derivatives when the model risk exists. When the payoff of derivative depends on one asset, Matsumoto (Int J Financ Eng 4(4):1750042, 2017b) solves the problem. We extend his result to derivatives on two assets. Though the optimal solution is more complicated, we show that the problem can be solved numerically in an algebraic way. Further we give some simple numerical examples to show our method works well.

Keywords

Hedging Derivatives Model risk 

Mathematical Subject Classification

91G20 91G60 

JEL Classification

G13 D81 
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Notes

Acknowledgements

We wish to thank the participants of the Japanese Association of Financial Econometrics and Engineering (JAFEE), Winter Conference 2017, for helpful discussions and comments. We also thank the anonymous referees for the valuable comments. This research was partially supported by JSPS KAKENHI Grant Number JP 15K03544.

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Copyright information

© Springer Japan KK, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of Economic Engineering, Faculty of EconomicsKyushu UniversityFukuokaJapan

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