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WINWIN8 · 2022年08月19日

int rate的改变

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NO.PZ201512181000007205

问题如下:

Based only on Exhibits 2 and 3, it is most likely that under:

选项:

A.

Scenario 1, Bond 2 outperforms Bond 1

B.

Scenario 2, Bond 1 underperforms Bond 3.

C.

Scenario 3, Bond 3 is the best performing security

解释:

C is correct.

The change in value of a bond is inversely related to a change in yield. Given a bond priced at B with duration D and yield change of Δy, the rate of return or percentage price change for the bond is approximately given as follows: ΔB/B ≈ -DΔy/(1 + y). Under Scenario 3, interest rates decrease by 20 bps. In an environment of decreasing interest rates, the bond with the highest duration will have the greatest positive return. Bond 3 has a duration of 10.2, which is greater than that of both Bond 1 (duration = 1.3) and Bond 2 (duration = 3.7).

你好小助手,这道题我做对了,但我的思路是这样的:在场景1和2里,利率都上升了,代表yield curve inverted了,那么持有长期的bond收益率就会低。 在场景3里,利率下降了,代表yield curve 是upward的, 那么持有长期就盈利更多,所以bond 3会outperform.

我这样理解这个题,对吗?

3 个答案
已采纳答案

星星_品职助教 · 2022年08月19日

同学你好,

本题应从duration角度去理解。

当利率上升时,债券价格会下降,此时duration小的债券价格下降的少,即outperform。所以在scenario1 & 2中,Bond 1>2>3.

当利率下降时,债券价格会上升,此时duration大的债券价格涨得多,即outperform。所以在scenario 3中,Bond 3>2>1.

星星_品职助教 · 2022年08月19日

@STRENGTH8 对的。

星星_品职助教 · 2022年08月19日

@STRENGTH8

另外两只债券价格下降的更多,价格下降最少的债券相对的表现就是最好的。

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