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🍑(o^^o)Fay 🙃 · 2022年08月07日

c 选项不明白在说什么

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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).

老师, 话说能不能解释一下c 为什么正确。 另外,想确认一下 对于选项a 和b的理解,就是duration 是衡量1单位利率变动下的 对价格的影响,利率变动和价格变动是negative 的的关系,所以,其实就是duration 越大价格变动的越多,债券的抗风险能力越差。 所以 无论是那种 scenario 都是 1 outperform 2, and 2 outperform 3. 是这样子嘛?

1 个答案

星星_品职助教 · 2022年08月07日

同学你好,

前面理解基本正确,最终结论要看利率的变动方向:

当利率上升时,债券价格会下降,此时duration小的债券会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大的债券会outperform。所以在scenario 3中,Bond 3>2>1.

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