# Arbitrage with fixed costs and interest rate models

## Author Info

• Elyès Jouini

(Dauphine)

• Hedi Kallal

• Clotilde Napp

(Dauphine & CREST)

Registered author(s):

## Abstract

In this paper, we start by considering market models with fixed costs; in such a context, we characterize the absence of arbitrage opportunity and we provide pricing rules. We then apply these results to extend some classical interest rate and option pricing models. In particular, we prove that the quite surprising result obtained by Dybvig-Ingersoll-Ross $\left( 1996\right)$, which asserts that, under the assumption of absence of arbitrage, long zero-coupon rates can never fall, is no longer true in models with fixed costs. Models where the long rate follows a diffusion process as in Brennan-Schwartz $\left( 1979\right)$ are no more to be rejected for arbitrage considerations.

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File URL: http://econwpa.repec.org/eps/fin/papers/0312/0312002.pdf

## Bibliographic Info

Paper provided by EconWPA in its series Finance with number 0312002.

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 Length: Date of creation: 05 Dec 2003 Date of revision: Handle: RePEc:wpa:wuwpfi:0312002 Note: Type of Document - pdf; prepared on Win98 Contact details of provider: Web page: http://econwpa.repec.org

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