The Valuation of Interest Rate Digital Options and Range Notes Revisited

Patrick Navatte and François Quittard-Pinon

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Abstract: 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 a prespecified interest rate times the number of days the reference interest rate lies inside a corridor.

Date: 1999-11-01
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Citations: View citations in EconPapers (8)

Published in European Financial Management, 1999, 5 (3), pp.425-440 P

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