High order compact finite difference schemes for a nonlinear Black-Scholes equation
AbstractA nonlinear Black-Scholes equation which models transaction costs arising in the hedging of portfolios is discretized semi-implicitly using high order compact finite difference schemes. In particular, the compact schemes of Rigal are generalized. The numerical results are compared to standard finite difference schemes. It turns out that the compact schemes have very satisfying stability and non-oscillatory properties and are generally more e±cient than the considered classical schemes.
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Bibliographic InfoPaper provided by Center of Finance and Econometrics, University of Konstanz in its series CoFE Discussion Paper with number 01-07.
Length: 16 pages
Date of creation: Sep 2001
Date of revision:
This paper has been announced in the following NEP Reports:
- NEP-ALL-2006-09-30 (All new papers)
- NEP-FIN-2006-09-30 (Finance)
- NEP-FMK-2006-09-30 (Financial Markets)
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