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Feeling · 2020年11月03日

问一道题:NO.PZ201602270200001803

* 问题详情,请 查看题干

问题如下:

3. Which of the following statements about the missing data in Exhibit 3 is correct?

选项:

A.

Node 3–2 can be derived from Node 2–2.

B.

Node 4–1 should be equal to Node 4–5 multiplied by e0.4.

C.

Node 2–2 approximates the implied one-year forward rate two year from now.

解释:

C is correct.

Because Node 2–2 is the middle node rate in Year 2, it will be close to the implied one-year forward rate two year from now (as derived from the spot curve). Node 4–1 should be equal to the product of Node 4–5 and e0.8e^{0.8}. Lastly, Node 3–2 cannot be derived from Node 2–2; it can be derived from any other Year 3 node; for example, Node 3–2 can be derived from Node 3–4 (equal to the product of Node 3–4 and e4σe4\sigma ).

请问为什么Node 3–2 cannot be derived from Node 2–2?

2 个答案
已采纳答案

WallE_品职答疑助手 · 2020年11月04日

因为在只给定sigma的情况下,只有同一时期的上下两个点存在着 e^2sigma的关系。

N2-2是推导不出N3-2的。

ww · 2023年05月01日

只能用sigma推的话,那么后一期node是怎么从前一期node推出来的呢?

pzqa31 · 2023年05月01日

嗨,爱思考的PZer你好:


利率二叉树上两个时间点之间的利率是没有关系的,推导不出来。

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