The Valuation of Interest Rate Digital Options and Range Notes Revisited

Posted: 21 Oct 1998

See all articles by Patrick Navatte

Patrick Navatte

Université de Rennes I

Francois Quittard-Pinon

EMLYON Business School


The aim of this paper is to value interest rate structured products in a simpler and more intuitive way than Turnbull(1995). Considering some assumptions with respect to the evolution of the term structure of interest rates, the price of a European interest rate digital call option is given. Recall it is a contract designed to pay one dollar at maturity if a reference interest rate is above a prespecified level (the strike), and zero in all the others cases. Combining two options of this type enables us to value a European range digital option. Then using a one factor linear Gaussian model and the new well-known change of numeraire approach, a closed-form formula is found to value range notes which pay at the end of each defined period, a sum equal to prespecified interest rate times the number of days the reference interest rate lies inside a corridor.

JEL Classification: C63, G12, G13

Suggested Citation

Navatte, Patrick and Quittard-Pinon, Francois, The Valuation of Interest Rate Digital Options and Range Notes Revisited. Available at SSRN:

Patrick Navatte (Contact Author)

Université de Rennes I ( email )

7, Place Hoche
Institut de Gestion de Rennes
35065 Rennes Cedex
+33 2 9925 3545 (Phone)
+33 2 9938 8084 (Fax)

Francois Quittard-Pinon

EMLYON Business School ( email )

23, Avenue Guy de Collongue
69134, Ecully

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