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yy1177 · 2021年02月17日

能麻烦老师再解释下D选项吗

NO.PZ2018122701000067

问题如下:

Model 1 assumes zero drift and is also called a normal model. Model 2 add a term for drift. Each of the following is true about these two models except for:

选项:

A.

A weakness of Model 1 is that the short-term rate can become negative.

B.

Model 1 implies a term structure that is perfectly flat at the current rate for all maturities, including the long-term rates.

C.

Model 2 is more capable of producing an upward-sloping term structure, which is often observed.

D.

Model 2 is an equilibrium model, rather than an arbitrage-free model, because no attempt is made to match the term structure closely.

解释:

B is correct.

考点 Term Structure Models

解析 Under Model 1, it is true that the middle node recombines to the same current node. But these are future short-term rates; they are not the term structure: the term structure is spot rates at all maturities. Models that take the initial term structure implied by market prices are called arbitrage-free models. A different approach, however, is to start with assumptions about the interest rate process and about the risk premium demanded by the market for bearing interest rate risk and then derive the risk-neutral process. Models of this sort do not necessarily match the initial term structure and are called equilibrium models.

没太看明白,谢谢哈

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已采纳答案

小刘_品职助教 · 2021年02月18日

同学你好,


D选项本身建议当作一个结论记住就好,理解可以按照原版书,an arbitrage-free model是基于给定的收益率曲线,而equilibrium model 开始并不基于一个给定的收益率曲线形态,而是根据利率的分布和风险中性过程,所以从这个分类上来说,model 2 是一个equilibrium model 。

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