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光猪宋两利 · 2024年05月05日

模拟卷1第71题

No.PZ2024030506000071 (选择题)来源:

A risk manager at a bank is measuring the sensitivity of a bond portfolio to non-parallel shifts in spot rates. The portfolio currently holds a 4-year zero coupon bond and a 7-year zero coupon bond with the following sensitivities to these respective spot rates:

To model the non-parallel movement of the spot rate curve, the manager treats the 2-year, 5-year, and 10-year spot rates as key rates. Given this information, what is the portfolio’s key rate 01 (KR01) for a 1-bp increase in the 5-year rate?

您的回答A, 正确答案是: C

A不正确AUD 184.06

BAUD 226.99

CAUD 307.66

DAUD 491.72



按老师在试卷解析视频里的解答, 四年离七年相隔3年,第五年离第四年比较近,离七年比较远,所以是:四年价格*2/3+七年价格*1/3

但是按照这个公式算得226.99(答案B),不是题目中的正确答案C,求解答


1 个答案

pzqa39 · 2024年05月06日

嗨,从没放弃的小努力你好:


七年对应的是五分之三,可以看一下老师视频课中讲解的图:

以及正确的计算过程:

4-year spot rate:

1 ∗ (4 – 2) / (5 – 2) = 0.6667

7-year spot rate:

1 ∗ (10 – 7) / (10 – 5) = 0.6

The change in the value of the portfolio for a 1 bp change in the 5-year spot rate is therefore:

0.6667 ∗ −189.27 + 0.6 ∗ −302.45 = 307.6563

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