Generalised Geske‐‐Johnson Interpolation of Option Prices
Abstract: This paper describes four separate option types as special cases of Bermudans with general inter–exercise and time to final maturity. This produces a surface with European, finite American, infinite Bermudan and infinite American options as special cases. This allows Geske–Johnson (1984) t...
Published in: | Journal of Business Finance & Accounting |
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Format: | Article in Journal/Newspaper |
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Online Access: | https://doi.org/10.1111/j.1468-5957.2007.02014.x |
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ftrepec:oai:RePEc:bla:jbfnac:v:34:y:2007:i:5-6:p:976-1001 2024-04-14T08:07:32+00:00 Generalised Geske‐‐Johnson Interpolation of Option Prices San–Lin Chung Mark B. Shackleton https://doi.org/10.1111/j.1468-5957.2007.02014.x unknown https://doi.org/10.1111/j.1468-5957.2007.02014.x article ftrepec https://doi.org/10.1111/j.1468-5957.2007.02014.x 2024-03-19T10:30:21Z Abstract: This paper describes four separate option types as special cases of Bermudans with general inter–exercise and time to final maturity. This produces a surface with European, finite American, infinite Bermudan and infinite American options as special cases. This allows Geske–Johnson (1984) two–point pricing to be extended to consider time–to–maturity as well as time–between–exercise opportunities. Due to their position on this ‘map’, infinite Bermudans are christened Arctic options and their pricing solution is presented. Numerical comparisons to benchmark methods are made for call prices under GBM although the results here hold for other processes and for both puts and calls when symmetry arguments are invoked. Article in Journal/Newspaper Arctic RePEc (Research Papers in Economics) Arctic Journal of Business Finance & Accounting 34 5-6 976 1001 |
institution |
Open Polar |
collection |
RePEc (Research Papers in Economics) |
op_collection_id |
ftrepec |
language |
unknown |
description |
Abstract: This paper describes four separate option types as special cases of Bermudans with general inter–exercise and time to final maturity. This produces a surface with European, finite American, infinite Bermudan and infinite American options as special cases. This allows Geske–Johnson (1984) two–point pricing to be extended to consider time–to–maturity as well as time–between–exercise opportunities. Due to their position on this ‘map’, infinite Bermudans are christened Arctic options and their pricing solution is presented. Numerical comparisons to benchmark methods are made for call prices under GBM although the results here hold for other processes and for both puts and calls when symmetry arguments are invoked. |
format |
Article in Journal/Newspaper |
author |
San–Lin Chung Mark B. Shackleton |
spellingShingle |
San–Lin Chung Mark B. Shackleton Generalised Geske‐‐Johnson Interpolation of Option Prices |
author_facet |
San–Lin Chung Mark B. Shackleton |
author_sort |
San–Lin Chung |
title |
Generalised Geske‐‐Johnson Interpolation of Option Prices |
title_short |
Generalised Geske‐‐Johnson Interpolation of Option Prices |
title_full |
Generalised Geske‐‐Johnson Interpolation of Option Prices |
title_fullStr |
Generalised Geske‐‐Johnson Interpolation of Option Prices |
title_full_unstemmed |
Generalised Geske‐‐Johnson Interpolation of Option Prices |
title_sort |
generalised geske‐‐johnson interpolation of option prices |
url |
https://doi.org/10.1111/j.1468-5957.2007.02014.x |
geographic |
Arctic |
geographic_facet |
Arctic |
genre |
Arctic |
genre_facet |
Arctic |
op_relation |
https://doi.org/10.1111/j.1468-5957.2007.02014.x |
op_doi |
https://doi.org/10.1111/j.1468-5957.2007.02014.x |
container_title |
Journal of Business Finance & Accounting |
container_volume |
34 |
container_issue |
5-6 |
container_start_page |
976 |
op_container_end_page |
1001 |
_version_ |
1796304945077551104 |