دورية أكاديمية
Arbitrage-free Models In Markets With Transaction Costs
| العنوان: | Arbitrage-free Models In Markets With Transaction Costs |
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| المؤلفون: | Sayit, Hasanjan, Viens, Frederi |
| بيانات النشر: | The Institute of Mathematical Statistics and the Bernoulli Society |
| سنة النشر: | 2011 |
| المجموعة: | Project Euclid (Cornell University Library) |
| مصطلحات موضوعية: | Financial markets, arbitrage, transaction cost, sticky process, fractional Brownian motion, time-change, 91G10, 91B25, 60G22 |
| الوصف: | In the paper [7], Guasoni studies financial markets which are subject to proportional transaction costs. The standard martingale framework of stochastic finance is not applicable in these markets, since the transaction costs force trading strategies to have bounded variation, while continuous- time martingale strategies have infinite transaction cost. The main question that arises out of [7] is whether it is possible to give a convenient condition to guarantee that a trading strategy has no arbitrage. Such a condition was proposed and studied in [6] and [1], the so-called stickiness property, whereby an asset's price is never certain to exit a ball within a predetermined finite time. In this paper, we define the multidimensional extension of the stickiness property, to handle arbitrage-free conditions for markets with multiple assets and proportional transaction costs. We show that this condition is sufficient for a multi-asset model to be free of arbitrage. We also show that d-dimensional fractional Brownian models are jointly sticky, and we establish a time-change result for joint stickiness. |
| نوع الوثيقة: | text |
| وصف الملف: | application/pdf |
| اللغة: | English |
| تدمد: | 1083-589X |
| العلاقة: | https://projecteuclid.org/euclid.ecp/1465262009Test; Electron. Commun. Probab. 16 (2011), 614-622 |
| DOI: | 10.1214/ECP.v16-1671 |
| الإتاحة: | https://doi.org/10.1214/ECP.v16-1671Test https://projecteuclid.org/euclid.ecp/1465262009Test |
| حقوق: | Copyright 2011 The Institute of Mathematical Statistics and the Bernoulli Society |
| رقم الانضمام: | edsbas.D756CD24 |
| قاعدة البيانات: | BASE |
Full Text Finder | تدمد: | 1083589X |
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| DOI: | 10.1214/ECP.v16-1671 |