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SUMMER · 2023年05月19日

BEY= 365/180∗(100−PV)/PV​ =6.72% 根据公式求得PV=96.79 请问求PV怎么按计算器?

NO.PZ2018062010000027

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

考点:BEY

解析:本题考点是discount yield和BEY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discount yield,即discount rate=0.0642。注意,discount yield中Year应该代入题目已知条件360。

根据公式求得PV=96.79 请问求PV怎么按计算器?

1 个答案
已采纳答案

吴昊_品职助教 · 2023年05月19日

嗨,从没放弃的小努力你好:


PV相当于是x,解一个一元一次方程,(100−PV)/PV=6.72%×180/365=3.31%,100/PV-1=3.31%,100/PV=1.0331,所以PV=96.79

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