Solvability of differential Riccati equations and applications to algorithmic trading with signals
We study a differential Riccati equation (DRE) with indefinite matrix coefficients, which arises in a wide class of practical problems. We show that the DRE solves an associated control problem, which is key to provide existence and uniqueness of a solution. As an application, we solve two algorithm...
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| Format: | Journal article |
| Language: | English |
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Taylor and Francis
2023
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| _version_ | 1797111896293244928 |
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| author | Drissi, F |
| author_facet | Drissi, F |
| author_sort | Drissi, F |
| collection | OXFORD |
| description | We study a differential Riccati equation (DRE) with indefinite matrix coefficients, which arises in a wide class of practical problems. We show that the DRE solves an associated control problem, which is key to provide existence and uniqueness of a solution. As an application, we solve two algorithmic trading problems in which the agent adopts a constant absolute risk-aversion (CARA) utility function, and where the optimal strategies use signals and past observations of prices to improve their performance. First, we derive a multi-asset market making strategy in over-the-counter markets, where the market maker uses an external trading venue to hedge risk. Second, we derive an optimal trading strategy that uses prices and signals to learn the drift in the asset prices. |
| first_indexed | 2024-03-07T08:15:20Z |
| format | Journal article |
| id | oxford-uuid:36d6ba0b-d369-44ed-bd47-7fe0813f2f3b |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T08:15:20Z |
| publishDate | 2023 |
| publisher | Taylor and Francis |
| record_format | dspace |
| spelling | oxford-uuid:36d6ba0b-d369-44ed-bd47-7fe0813f2f3b2024-01-04T13:12:02ZSolvability of differential Riccati equations and applications to algorithmic trading with signalsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:36d6ba0b-d369-44ed-bd47-7fe0813f2f3bEnglishSymplectic ElementsTaylor and Francis2023Drissi, FWe study a differential Riccati equation (DRE) with indefinite matrix coefficients, which arises in a wide class of practical problems. We show that the DRE solves an associated control problem, which is key to provide existence and uniqueness of a solution. As an application, we solve two algorithmic trading problems in which the agent adopts a constant absolute risk-aversion (CARA) utility function, and where the optimal strategies use signals and past observations of prices to improve their performance. First, we derive a multi-asset market making strategy in over-the-counter markets, where the market maker uses an external trading venue to hedge risk. Second, we derive an optimal trading strategy that uses prices and signals to learn the drift in the asset prices. |
| spellingShingle | Drissi, F Solvability of differential Riccati equations and applications to algorithmic trading with signals |
| title | Solvability of differential Riccati equations and applications to algorithmic trading with signals |
| title_full | Solvability of differential Riccati equations and applications to algorithmic trading with signals |
| title_fullStr | Solvability of differential Riccati equations and applications to algorithmic trading with signals |
| title_full_unstemmed | Solvability of differential Riccati equations and applications to algorithmic trading with signals |
| title_short | Solvability of differential Riccati equations and applications to algorithmic trading with signals |
| title_sort | solvability of differential riccati equations and applications to algorithmic trading with signals |
| work_keys_str_mv | AT drissif solvabilityofdifferentialriccatiequationsandapplicationstoalgorithmictradingwithsignals |