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Pricing interest rate derivatives with model risk

Satoshi Hosokawa and Koichi Matsumoto ()
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Satoshi Hosokawa: Graduate School of Economics, Kyushu University, Fukuoka, Japan
Koichi Matsumoto: Department of Economic Engineering, Faculty of Economics, Kyushu University 6-19-1 Hakozaki Higashi-ku, Fukuoka-shi, Fukuoka 812-8581, Japan

Journal of Financial Engineering (JFE), 2015, vol. 02, issue 01, 1-18

Abstract: This paper studies an interest rate derivative when there is the model risk in an interest rate model. We consider a mean reverting interest rate process whose volatility model is not known. Most of prices of interest rate derivatives cannot be determined uniquely, based on this interest rate model. We study the price bounds of a derivative and propose how to calculate the price bounds by a trinomial model. Further, we analyze the model risk of derivatives and their portfolios numerically.

Keywords: Interest rate derivatives; model risk; uncertainty of parameter; G13; D81; C61 (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1142/S2345768615500038

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