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A tractable market model with jumps for pricing short-term interest rate derivatives

Y. Samuelides and E. Nahum

Quantitative Finance, 2001, vol. 1, issue 2, 270-283

Abstract: Short-term interest rate derivatives present a few unresolved problems. It is not obvious which pricing model to use, and the usual Heath-Jarrow-Morton type models seem insufficient to describe the risk they entail. Moreover, the hedging process is fairly delicate as the liquidity of short-term products cannot always be relied upon. In this paper, we justify the use of a market model with jumps to price these products. The main advantage of this approach is two fold. First, we will show how realistic such a model proves to be. Then, using justified approximations, the market model with jumps is made very tractable. Finally, the hedging issue is resolved by describing a dynamic delta-hedging strategy provided by the model in addition to a static vega-hedging strategy designed to use the relevant liquid products at the trader's disposal.

Date: 2001
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Citations: View citations in EconPapers (5)

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DOI: 10.1088/1469-7688/1/2/309

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