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Ella · 2024年11月12日

为什么不能选D

NO.PZ2023100703000091

问题如下:

For a 2-year zero-coupon bond, the 1-year rate is expected to remain at 5% for the first year. For the second year, it is foretasted the that 1-year spot rate will be either 7% or 3% at equal probability of 50%. If you are asked to reflect the convexity effect for this 2-year bond by Jensen’s inequality formula, which of the following inequalities is the best Correct Answer?

选项:

A.$0.90736 > $0.90703 B.$0.90703 > $0.90000 C.$0.95238 > $0.90736 D.$0.95273 > $0.95238

解释:

The left-hand side of Jensen’s inequality


0.95273/1.05 = 0.90736

The right-hand side of the inequality:


0.95238/1.05 = 0.90703

我觉得D更直接的展示了这个不等式

1 个答案

pzqa39 · 2024年11月12日

嗨,从没放弃的小努力你好:


D选项也没问题,之所以除以0.15是为了和原版书保持一致。

这里用的也是折现到0时刻的现值,这样才是零息债券的价格,他用价格来表示inequality的不等式关系。其实不除以1.05也不影响inequality不等式,题目的本意是为了和原版书保持一致。

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努力的时光都是限量版,加油!

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