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坚持努力 · 2025年01月03日

什么时候spread incrfease 用加法什么时候用乘法

* 问题详情,请 查看题干

NO.PZ202112010200001903

问题如下:

Which bond rating category offers the highest expected excess return if spreads rise 10% across all ratings categories?

选项:

A.

A rated bond category

B.

BBB rated bond category

C.

BB rated bond category

解释:

A is correct. If spreads rise 10% across all ratings categories, we can use

E[ExcessSpread] ≈ Spread0 –(EffSpreadDur × ΔSpread) – (POD × LGD) to solve

for expected excess spread as follows:


spreads rise 10% 这里是*1.1,之前一题是+0.1

怎么判断

2 个答案

发亮_品职助教 · 2025年01月04日

无需太担心这个判断,基本上碰到的题目都是加法。很少有乘法的情况。

发亮_品职助教 · 2025年01月04日

绝大多数情况都是加法,如初始利率是3%,题目说利率上升0.5%(increase),那么期末利率应该是:3%+0.5%

基本上没有出现过乘法的情况。


这道题的题目描述有一点问题。这道题只能从初始的数据上判断,初始数据OAS是1%, 1.75%, 2.75%,初始的利率都很小。

所以,如果spread rise 10%理解成在此基础上加上10%的上升,那么期末的OAS将会变得非常大。如会变成11%,11.75%,12.75%

这显然不太常规。


所以这道题的spread rise 10%,要理解成在原有基础上增加10%,即,1%×(1+10%),这样期末的数据仍然是同量级的数据,不会有很突兀的改变。


考题的措辞会很规范。如果像这道题很难判断,建议就用利率的改变程度来理解,一般而言,利率很少出现增加10%这么庞大的数据(利率加10%),所以当题目说rise 10%,要理解成在原有基础上乘以(1+10%)。

如果题目说,利率增加0.20%,这种基本上就是用加法。因为这是常规的利率上涨、下跌程度。



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