RecordNumber
2255
Author
CHESNEY, MAR
Crop_Body
MARC CHESNEY, ROBERTJ. ELLIOTT, RAJNAG IBSON
Title of Article
ANALYTICAL SOLUTIONS FOR THE PRICING OF AMERICAN BOND AND YIELD OPTIONS
Title Of Journal
Mathematical Finance
PublishInfo
Oxford :Blackwell Publishers
Publication Year
1993
Volum
3
Issue Number
3
Page
277-294
Keywords
American bond option , Bessel processes , early exercise premium , free boundary approach , optimal stopping , term structure of interest rates , yield option
Abstract
In this paper we use the Cox, Ingersoll, and Ross (1985b) single-factor, term structure model and extend it to the pricing of American default-free bond puts. We provide a quasi-analytical formula for these option prices based on recently established mathematical results for Bessel bridges, coupled with the optimal stopping time method. We extend our results to another interest rate contingent claim and provide a quasi-analytical solution for American yield option prices which illustrates the flexibility of our framework.
URL
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