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arXiv 0901.2080q-fin.PRmath.PR
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关于Dybvig-Ingersoll-Ross定理

On the Dybvig-Ingersoll-Ross Theorem

Constantinos Kardaras, Eckhard Platen

摘要:

戴比格-英格索尔-罗斯(Dybvig-Ingersoll-Ross)定理指出,在无套利的期限结构模型中,长期收益率和远期利率永远不会下降。我们提出了一个改进的版本,在那里我们确定的倒数的到期日的最大顺序,长期利率在较早的日期可以主导长期利率在较晚的日期。施加在市场模型的可行性假设是弱于以前出现在文献中。

英文摘要:

The Dybvig-Ingersoll-Ross (DIR) theorem states that, in arbitrage-free term structure models, long-term yields and forward rates can never fall. We present a refined version of the DIR theorem, where we identify the reciprocal of the maturity date as the maximal order that long-term rates at earlier dates can dominate long-term rates at later dates. The viability assumption imposed on the market model is weaker than those appearing previously in the literature.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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