Long-term returns in stochastic interest rate models
We consider the behavior of integral functional of the solution of stochastic differential equation with coefficients contained small parameter. The dependence on the order of small parameter in every term of equation with Wiener process and Poisson measure term is studied. We observe the convergenc...
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| Datum: | 2007 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2007
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/4528 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Long-term returns in stochastic interest rate models / V. Zubchenko // Theory of Stochastic Processes. — 2007. — Т. 13 (29), № 4. — С. 247–261. — Бібліогр.: 11 назв.— англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862707899133853696 |
|---|---|
| author | Zubchenko, V. |
| author_facet | Zubchenko, V. |
| citation_txt | Long-term returns in stochastic interest rate models / V. Zubchenko // Theory of Stochastic Processes. — 2007. — Т. 13 (29), № 4. — С. 247–261. — Бібліогр.: 11 назв.— англ. |
| collection | DSpace DC |
| description | We consider the behavior of integral functional of the solution of stochastic differential equation with coefficients contained small parameter. The dependence on the order of small parameter in every term of equation with Wiener process and Poisson measure term is studied. We observe the convergence of the long-term return, using an extension of the Cox-Ingersoll-Ross stochastic model of the short interest rate. Obtained results are applied for studying of two-factor stochastic interest rate model.
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| first_indexed | 2025-12-07T17:08:03Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-4528 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 0321-3900 |
| language | English |
| last_indexed | 2025-12-07T17:08:03Z |
| publishDate | 2007 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Zubchenko, V. 2009-11-24T15:40:59Z 2009-11-24T15:40:59Z 2007 Long-term returns in stochastic interest rate models / V. Zubchenko // Theory of Stochastic Processes. — 2007. — Т. 13 (29), № 4. — С. 247–261. — Бібліогр.: 11 назв.— англ. 0321-3900 https://nasplib.isofts.kiev.ua/handle/123456789/4528 We consider the behavior of integral functional of the solution of stochastic differential equation with coefficients contained small parameter. The dependence on the order of small parameter in every term of equation with Wiener process and Poisson measure term is studied. We observe the convergence of the long-term return, using an extension of the Cox-Ingersoll-Ross stochastic model of the short interest rate. Obtained results are applied for studying of two-factor stochastic interest rate model. en Інститут математики НАН України Long-term returns in stochastic interest rate models Article published earlier |
| spellingShingle | Long-term returns in stochastic interest rate models Zubchenko, V. |
| title | Long-term returns in stochastic interest rate models |
| title_full | Long-term returns in stochastic interest rate models |
| title_fullStr | Long-term returns in stochastic interest rate models |
| title_full_unstemmed | Long-term returns in stochastic interest rate models |
| title_short | Long-term returns in stochastic interest rate models |
| title_sort | long-term returns in stochastic interest rate models |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/4528 |
| work_keys_str_mv | AT zubchenkov longtermreturnsinstochasticinterestratemodels |