理論応用力学講演会 講演論文集
第59回理論応用力学講演会
セッションID: 3B10
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OS6 金融工学理論の新潮流
On a Type I Error of a Random Walk Hypothesis on Interest Rates
赤堀 次郎*劉 念麟
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In the present paper, we will establish a law of large numbers for the sample covariance matrix of the forward rates when random walk hypothesis (RWH) on the spot rates holds. The study is motivated by the result in Liu, N.L.(2010) that says the forward rates have much more factors than the stylized belief, and aimed to explain the result as a ``type I error" on RWH. Our result in this paper shows that the number of factors of the forward rates is greater than that of the spot rates but at most twice.

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