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In the Vasieck (1977) Model, You Are Given That drt=κ(θrt)dt+σdWtd r _ { t } = \kappa \left( \theta - r _ { t } \right) d t + \sigma d W _ { t }

Question 20

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In the Vasieck (1977) model, you are given that drt=κ(θrt) dt+σdWtd r _ { t } = \kappa \left( \theta - r _ { t } \right) d t + \sigma d W _ { t } where k=0.5k = 0.5 , θ=0.06\theta = 0.06 , σ=0.10\sigma = 0.10 , and the current short rate of interest is r0=0.08r _ { 0 } = 0.08 . What is the expected standard deviation of the short rate of interest one year hence?


A) 0.08
B) 0.09
C) 0.10
D) 0.11

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