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婷 · 2022年03月01日

计算过程

* 问题详情,请 查看题干

NO.PZ202112010200001903

问题如下:

Which bond rating category offers the highest expected excess returnif spreads instantaneously 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 ratingscategories, we can use

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

for expected excess spread as follows:


能把计算过程详细写一下吗?new oas是怎么算出来的?谢谢

2 个答案

pzqa015 · 2022年05月26日

嗨,爱思考的PZer你好:


这里说的是spread都上升10%,是指在原有spread的1.1倍,所以△spread=0.1*原spread

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pzqa015 · 2022年03月01日

嗨,努力学习的PZer你好:


这个知识点原版书的题解题过程不准确,教研组老师讨论以后,统一得到下面的两条原则,遇着这个知识点的题,同学都按照下面两个原则来解题吧。


1、只要有instan,第一项spread就乘以t=0,第三项LGD*PD不乘0了,LGD*PD是多少就是多少,这点课后题就是这么做的。

所以,如果是Instan,Excess spread这么算:

EXR = Spread 0 × 0 - spread duration × △ Spread - LGD × PD



2、若没有instan,那么持有期是多少(小于1年),第一项Spread和第三项LGD*PD都要乘以t,这是例题这么做的。所以Excess spread这么算:

EXR = Spread 0 × t - spread duration × △ Spread - LGD × PD×t


对于这道题,new OAS是用原OAS*1.1得到的,但是我们根本用不上New OAS,由于是instan上涨10%,所以EXR公式的第一项为0,这道题虽然答案选对了,但是解题过程是错误的

正确的解题过程如下:

EXR of A:0-0.1%*7-0.1%=-0.8%

EXR of BBB:0-0.175%*6-0.75%=-1.8%

EXR of BB:0-0.275%*5-2.5%=-3.88%

故选择A。

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就算太阳没有迎着我们而来,我们正在朝着它而去,加油!

徐威廉 · 2022年05月25日

Δspread=0.1%, 0.175%,0.275%哪来的? 题目都说了spread增加10%啊, Δspread应该都等于10%啊

Shafengler · 2023年05月07日

原版书这部分errata多的坑死了...

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