Convergence analysis of power penalty method for American bond option pricing
This paper is concerned with the convergence analysis of power penalty method to pricing American options on discount bond, where the single factor Cox–Ingrosll–Ross model is adopted for the short interest rate. The valuation of American bond option is usually formulated as a partial differential co...
| Main Authors: | , |
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| Format: | Journal Article |
| Published: |
Springer
2013
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| Online Access: | http://hdl.handle.net/20.500.11937/8052 |
| _version_ | 1848745545262170112 |
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| author | Zhang, K. Teo, Kok Lay |
| author_facet | Zhang, K. Teo, Kok Lay |
| author_sort | Zhang, K. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | This paper is concerned with the convergence analysis of power penalty method to pricing American options on discount bond, where the single factor Cox–Ingrosll–Ross model is adopted for the short interest rate. The valuation of American bond option is usually formulated as a partial differential complementarity problem. We first develop a power penalty method to solve this partial differential complementarity problem, which produces a nonlinear degenerated parabolic PDE. Within the framework of variational inequalities, the solvability and convergence properties of this penalty approach are explored in a proper infinite dimensional space. Moreover, a sharp rate of convergence of the power penalty method is obtained. Finally, we show that the power penalty approach is monotonically convergent with the penalty parameter. |
| first_indexed | 2025-11-14T06:19:04Z |
| format | Journal Article |
| id | curtin-20.500.11937-8052 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T06:19:04Z |
| publishDate | 2013 |
| publisher | Springer |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-80522017-09-13T15:33:37Z Convergence analysis of power penalty method for American bond option pricing Zhang, K. Teo, Kok Lay complementarity problem option pricing penalty method variational inequalities This paper is concerned with the convergence analysis of power penalty method to pricing American options on discount bond, where the single factor Cox–Ingrosll–Ross model is adopted for the short interest rate. The valuation of American bond option is usually formulated as a partial differential complementarity problem. We first develop a power penalty method to solve this partial differential complementarity problem, which produces a nonlinear degenerated parabolic PDE. Within the framework of variational inequalities, the solvability and convergence properties of this penalty approach are explored in a proper infinite dimensional space. Moreover, a sharp rate of convergence of the power penalty method is obtained. Finally, we show that the power penalty approach is monotonically convergent with the penalty parameter. 2013 Journal Article http://hdl.handle.net/20.500.11937/8052 10.1007/s10898-012-9843-1 Springer restricted |
| spellingShingle | complementarity problem option pricing penalty method variational inequalities Zhang, K. Teo, Kok Lay Convergence analysis of power penalty method for American bond option pricing |
| title | Convergence analysis of power penalty method for American bond option pricing |
| title_full | Convergence analysis of power penalty method for American bond option pricing |
| title_fullStr | Convergence analysis of power penalty method for American bond option pricing |
| title_full_unstemmed | Convergence analysis of power penalty method for American bond option pricing |
| title_short | Convergence analysis of power penalty method for American bond option pricing |
| title_sort | convergence analysis of power penalty method for american bond option pricing |
| topic | complementarity problem option pricing penalty method variational inequalities |
| url | http://hdl.handle.net/20.500.11937/8052 |