The Pricing and Hedging of an Attainable Claim in a Hybrid Black–Scholes Model under Regime Switching
This article formulates and dissects a Black–Scholes model with regime switching that can be used to describe the performance of a complete market. An explicit integrand formula ϕt,ω is obtained when the T-claim Fω is given for an attainable claim in this complete market. In addition, some perfect r...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2021/5592901 |
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| author | Kuanhou Tian Yanfang Li Guixin Hu |
| author_facet | Kuanhou Tian Yanfang Li Guixin Hu |
| author_sort | Kuanhou Tian |
| collection | DOAJ |
| description | This article formulates and dissects a Black–Scholes model with regime switching that can be used to describe the performance of a complete market. An explicit integrand formula ϕt,ω is obtained when the T-claim Fω is given for an attainable claim in this complete market. In addition, some perfect results are presented on how to hedge an attainable claim for this Black–Scholes model, and the price p of the European call and the self-financing portfolio θt=θ0t,θ1t are given explicitly. Finally, some concluding remarks are provided to illustrate the theoretical results. |
| format | Article |
| id | doaj-art-a5abf274121145779a1ecf48bee00935 |
| institution | Kabale University |
| issn | 1607-887X |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-a5abf274121145779a1ecf48bee009352025-08-20T03:38:30ZengWileyDiscrete Dynamics in Nature and Society1607-887X2021-01-01202110.1155/2021/5592901The Pricing and Hedging of an Attainable Claim in a Hybrid Black–Scholes Model under Regime SwitchingKuanhou Tian0Yanfang Li1Guixin Hu2School of Mathematics and Quantitative EconomicsSchool of Mathematics and Information ScienceSchool of Mathematics and Information ScienceThis article formulates and dissects a Black–Scholes model with regime switching that can be used to describe the performance of a complete market. An explicit integrand formula ϕt,ω is obtained when the T-claim Fω is given for an attainable claim in this complete market. In addition, some perfect results are presented on how to hedge an attainable claim for this Black–Scholes model, and the price p of the European call and the self-financing portfolio θt=θ0t,θ1t are given explicitly. Finally, some concluding remarks are provided to illustrate the theoretical results.http://dx.doi.org/10.1155/2021/5592901 |
| spellingShingle | Kuanhou Tian Yanfang Li Guixin Hu The Pricing and Hedging of an Attainable Claim in a Hybrid Black–Scholes Model under Regime Switching Discrete Dynamics in Nature and Society |
| title | The Pricing and Hedging of an Attainable Claim in a Hybrid Black–Scholes Model under Regime Switching |
| title_full | The Pricing and Hedging of an Attainable Claim in a Hybrid Black–Scholes Model under Regime Switching |
| title_fullStr | The Pricing and Hedging of an Attainable Claim in a Hybrid Black–Scholes Model under Regime Switching |
| title_full_unstemmed | The Pricing and Hedging of an Attainable Claim in a Hybrid Black–Scholes Model under Regime Switching |
| title_short | The Pricing and Hedging of an Attainable Claim in a Hybrid Black–Scholes Model under Regime Switching |
| title_sort | pricing and hedging of an attainable claim in a hybrid black scholes model under regime switching |
| url | http://dx.doi.org/10.1155/2021/5592901 |
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