ACTA MATHEMATICA UNIVERSITATIS COMENIANAE

Vol. LXXIII, 2 (2004)
p. 161 – 174

The American Put Option Close to Expiry
R. Mallier and G. Alobaidi


Abstract.  We use an asymptotic expansion to study the behavior of the American put option close to expiry for the case where the dividend yield is less than or equal to the risk-free interest rate. Series solutions are obtained for the location of the free boundary and the price of the option in that limit.

AMS Subject classification:  91B28;  
Keywords:  American options, asymptotics, free boundary, equity securities.

Download:     Adobe PDF     Compressed Postscript      

Version to read:     Adobe PDF

Acta Mathematica Universitatis Comenianae
Institute of Applied Mathematics
Faculty of Mathematics, Physics and Informatics
Comenius University
842 48 Bratislava, Slovak Republic  

Telephone: + 421-2-60295755 Fax: + 421-2-65425882  
e-Mail: amuc@fmph.uniba.sk   Internet: www.iam.fmph.uniba.sk/amuc

© Copyright 2004, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE