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一只可爱的猪 · 2020年10月17日

问一道题:NO.PZ2018062010000027 [ CFA I ]

问题如下:

The discount rate of a 180-day banker’s acceptance for a 360-day year quoted at a bond equivalent yield of 6.72% is closest to:

选项:

A.

6.62%

B.

6.51%

C.

6.42%

解释:

C is correct.

Bond equivalent yield (BEY) for money market security is yield stated on a 365-day add-on rate basis.

lBEY=365180100PVPV=6.72%{l}BEY=\frac{365}{180}\ast\frac{100-PV}{PV}=6.72\%\\\\

PV=96.79

PV=100*[1-(180/360)*discount rate]=96.79

discount rate=0.0642

与货币市场的bey什么区别
1 个答案

吴昊_品职助教 · 2020年10月17日

同学你好:

固收中有两个BEY。主要是根据产品区分的。分为货币市场工具的BEY,和资本市场Capital Market的BEY。货币市场是365天以下的投资工具,计算的Bond Equivalent Yield是一年按365天算的Add-on Yield。计算BEY时的计算公式是:【(FV-PV)/PV】×365/days(参考基础班讲义P170页)

而在计算一年以上长期债券,提到的BEY是长期债券的BEY,是长期债券的分母的折现率,semi-annual yield,然后double一下,算BEY。(参考基础班讲义P159页)

记忆的话碰到货币市场的就是用365/Days这个。碰到有债券折现算出来的semiannual YTM乘以2就是资本市场工具的BEY。

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NO.PZ2018062010000027问题如下 The scount rate of a 180-y banker’s acceptanfor a 360-y yequotea bonequivalent yielof 6.72% is closest to: A.6.62%B.6.51%C.6.42% C is correct.Bonequivalent yiel(BEY) for money market security is yielstateon a 365-y a-on rate basis.lBEY=365180∗100−PVPV=6.72%{l}BEY=\frac{365}{180}\ast\frac{100-PV}{PV}=6.72\%\\\\lBEY=180365​∗PV100−PV​=6.72%PV=96.79PV=100*[1-(180/360)*scount rate]=96.79scount rate=0.0642考点BEY解析本题考点是scount yielBEY之间的转换。我们通过BEY反求出PV,即PV=96.79。注意BEY中的year要代入365,因为BEY是365天的AOR。有了FV和PV再代入上述第二个公式从而算得scount yiel即scount rate=0.0642。注意,scount yielYear应该代入题目已知条件360。 100*(1-0.0672*(180/360))=96.64((100-96.64)/96.64)*(365/180)=0.0705怎么我算的数是这么多?按了几遍计算器都是这么多呀

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