$ρ$-arbitrage and $ρ$-consistent pricing for star-shaped risk measures
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2022
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866910453089697792 |
|---|---|
| author | Herdegen, Martin Khan, Nazem |
| author_facet | Herdegen, Martin Khan, Nazem |
| contents | This paper revisits mean-risk portfolio selection in a one-period financial market, where risk is quantified by a star-shaped risk measure $ρ$. We make three contributions. First, we introduce the new axiom of sensitivity to large expected losses and show that it is key to ensure the existence of optimal portfolios. Second, we give primal and dual characterisations of (strong) $ρ$-arbitrage. Finally, we use our conditions for the absence of (strong) $ρ$-arbitrage to explicitly derive the (strong) $ρ$-consistent price interval for an external financial contract. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2202_07610 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | $ρ$-arbitrage and $ρ$-consistent pricing for star-shaped risk measures Herdegen, Martin Khan, Nazem Mathematical Finance This paper revisits mean-risk portfolio selection in a one-period financial market, where risk is quantified by a star-shaped risk measure $ρ$. We make three contributions. First, we introduce the new axiom of sensitivity to large expected losses and show that it is key to ensure the existence of optimal portfolios. Second, we give primal and dual characterisations of (strong) $ρ$-arbitrage. Finally, we use our conditions for the absence of (strong) $ρ$-arbitrage to explicitly derive the (strong) $ρ$-consistent price interval for an external financial contract. |
| title | $ρ$-arbitrage and $ρ$-consistent pricing for star-shaped risk measures |
| topic | Mathematical Finance |
| url | https://arxiv.org/abs/2202.07610 |