
Explanation:
Model 3 is a parallel shift model, as is any model without mean reversion. In addition, the term structure of volatility in Model 3 is flat. Because volatility in Model 3 varies over time, the term structure of volatility is flat at changing levels, but it is always flat.
Further Explanation
A parallel shift model, in the context of interest rates, refers to a model where all maturities on the yield curve move up or down by the same amount. The term "parallel" is used because if you were to graph the yield curve before and after the shift, the two curves would be parallel to each other.
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Q.1672 Model 3 is similar to the Vasicek Model with mean reversion in many ways. For example, if the time-dependent drift of model 3 matches the average path of rates of the Vasicek model, then both modes result in similar terminal distributions. However, these models differ in many ways. Which of the following statements are true with regard to the differences between these two models? I. Model 3 is a parallel shift model just like models without mean reversion. II. Model 3 is a parallel shift model just like models with mean reversion. III. The term structure of volatility is flat in Model 3, which is not the case with the Vasicek Model. IV. The term structure of volatility is curved in Model 3, which is not the case with the Vasicek Model.
A
I and IV
B
II and III
C
I and III
D
II and IV