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Contribution Details
| Type | Journal Article |
| Scope | Discipline-based scholarship |
| Title | Some no-arbitrage rules under short-sales constraints, and applications to converging asset prices |
| Organization Unit | |
| Authors |
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| Item Subtype | Original Work |
| Refereed | Yes |
| Status | Published in final form |
| Language |
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| Journal Title | Finance and Stochastics |
| Publisher | Springer |
| Geographical Reach | international |
| ISSN | 0949-2984 |
| Volume | 23 |
| Number | 2 |
| Page Range | 397 - 421 |
| Date | 2019 |
| Abstract Text | Under short-sales prohibitions, no free lunch with vanishing risk (NFLVRS) is known to be equivalent to the existence of an equivalent supermartingale measure for the price process (Pulido in Ann. Appl. Probab. 24:54–75, 2014). We give a necessary condition for the drift of a price process to satisfy NFLVRS. For two given price processes, we introduce the concept of fundamental supermartingale measure, and when a certain condition necessary for the construction of this fundamental supermartingale measure is not fulfilled, we provide the corresponding arbitrage portfolios. The motivation of our study lies in understanding the particular case of converging prices, i.e., two prices that coincide at a bounded random time. |
| Official URL | https://link.springer.com/article/10.1007/s00780-019-00386-3 |
| Digital Object Identifier | 10.1007/s00780-019-00386-3 |
| Other Identification Number | merlin-id:17736 |
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