Mean field equilibrium asset pricing model with habit formation
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866915014850379776 |
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| author | Fujii, Masaaki Sekine, Masashi |
| author_facet | Fujii, Masaaki Sekine, Masashi |
| contents | This paper presents an asset pricing model in an incomplete market involving a large number of heterogeneous agents based on the mean field game theory. In the model, we incorporate habit formation in consumption preferences, which has been widely used to explain various phenomena in financial economics. In order to characterize the market-clearing equilibrium, we derive a quadratic-growth mean field backward stochastic differential equation (BSDE) and study its well-posedness and asymptotic behavior in the large population limit. Additionally, we introduce an exponential quadratic Gaussian reformulation of the asset pricing model, in which the solution is obtained in a semi-analytic form. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_02155 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Mean field equilibrium asset pricing model with habit formation Fujii, Masaaki Sekine, Masashi Mathematical Finance Pricing of Securities Trading and Market Microstructure 49N80, 91B51, 60H10 This paper presents an asset pricing model in an incomplete market involving a large number of heterogeneous agents based on the mean field game theory. In the model, we incorporate habit formation in consumption preferences, which has been widely used to explain various phenomena in financial economics. In order to characterize the market-clearing equilibrium, we derive a quadratic-growth mean field backward stochastic differential equation (BSDE) and study its well-posedness and asymptotic behavior in the large population limit. Additionally, we introduce an exponential quadratic Gaussian reformulation of the asset pricing model, in which the solution is obtained in a semi-analytic form. |
| title | Mean field equilibrium asset pricing model with habit formation |
| topic | Mathematical Finance Pricing of Securities Trading and Market Microstructure 49N80, 91B51, 60H10 |
| url | https://arxiv.org/abs/2406.02155 |