Nonconcave Portfolio Choice under Smooth Ambiguity
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866911499156455424 |
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| author | Borgonovo, Emanuele Chen, An Marinacci, Massimo Zhu, Shihao |
| author_facet | Borgonovo, Emanuele Chen, An Marinacci, Massimo Zhu, Shihao |
| contents | We study continuous-time portfolio choice with nonlinear payoffs under smooth ambiguity and Bayesian learning. We develop a general framework for dynamic, non-concave asset allocation that accommodates nonlinear payoffs, broad utility classes, and flexible ambiguity attitudes. Dynamic consistency is obtained by a robust representation that recasts the ambiguity-averse problem as ambiguity-neutral with distorted priors. This structure delivers explicit trading rules by combining nonlinear filtering with the martingale approach and nests standard concave and linear-payoff benchmarks. As a leading application, delegated management with convex incentives illustrates that ambiguity aversion shifts beliefs toward adverse states, limits the range of states that would otherwise trigger more aggressive risk taking, and reduces volatility through lower risky exposure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_08552 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Nonconcave Portfolio Choice under Smooth Ambiguity Borgonovo, Emanuele Chen, An Marinacci, Massimo Zhu, Shihao Portfolio Management Mathematical Finance 91B06, 91G10, 93E11 We study continuous-time portfolio choice with nonlinear payoffs under smooth ambiguity and Bayesian learning. We develop a general framework for dynamic, non-concave asset allocation that accommodates nonlinear payoffs, broad utility classes, and flexible ambiguity attitudes. Dynamic consistency is obtained by a robust representation that recasts the ambiguity-averse problem as ambiguity-neutral with distorted priors. This structure delivers explicit trading rules by combining nonlinear filtering with the martingale approach and nests standard concave and linear-payoff benchmarks. As a leading application, delegated management with convex incentives illustrates that ambiguity aversion shifts beliefs toward adverse states, limits the range of states that would otherwise trigger more aggressive risk taking, and reduces volatility through lower risky exposure. |
| title | Nonconcave Portfolio Choice under Smooth Ambiguity |
| topic | Portfolio Management Mathematical Finance 91B06, 91G10, 93E11 |
| url | https://arxiv.org/abs/2603.08552 |