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杨舒芃 · 2021年06月08日

想问一下什么时候BEY指365天的addon yield， 什么时候指APR2

  1. CFA I
  2. Fixed Income

NO.PZ2016031001000084

问题如下：

The bond equivalent yield of a 180-day banker’s acceptance quoted at a discount rate of 4.25% for a 360-day year is closest to:

选项：

A.

4.31%.

B.

4.34%.

C.

4.40%.

解释：

C is correct.

The bond equivalent yield is closest to 4.40%. The present value of the banker’s acceptance is calculated as:

PV=FV×(1−DaysYear×DR)PV=FV\times{(1-\frac{Days}{Year}\times DR)}

where:

PV = present value, or price of the money market instrument

FV = future value paid at maturity, or face value of the money market instrument

Days = number of days between settlement and maturity

Year = number of days in the year

DR = discount rate, stated as an annual percentage rate

PV=100×(1−DaysYear×DR)PV=100\times{(1-\frac{Days}{Year}\times DR)}

PV=100×(1−180360×0.0425)PV=100\times{(1-\frac{180}{360}\times0.0425)}

PV = 100 × (1 – 0.02125)

PV = 100 × 0.97875

PV = 97.875

The bond equivalent yield (AOR) is calculated as:

AOR=(YearDays)×(FV−PVPV)AOR={(\frac{Year}{Days})}\times{(\frac{FV-PV}{PV})}

where:

PV = present value, principal amount, or the price of the money market instrument

FV = future value, or the redemption amount paid at maturity including interest

Days = number of days between settlement and maturity

Year = number of days in the year

AOR = add-on rate (bond equivalent yield), stated as an annual percentage rate

AOR=(365180)×(100−PVPV)AOR={(\frac{365}{180})}\times{(\frac{100-PV}{PV})}

AOR=(365180)×(100−97.87597.875)AOR={(\frac{365}{180})}\times{(\frac{100-97.875}{97.875})}

AOR = 2.02778 × 0.02171

AOR = 0.04402, or approximately 4.40%

Note that the PV is calculated using an assumed 360-day year and the AOR (bond equivalent yield) is calculated using a 365-day year.

想问一下什么时候BEY指365天的addon yield， 什么时候指APR2

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1 个答案

吴昊_品职助教 · 2021年06月08日

嗨，努力学习的PZer你好：


同学你好：

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

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。

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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