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🤨肖大YAN😊 · 2020年08月06日

问一道题：NO.PZ2016031001000083

  1. CFA I
  2. Fixed Income

问题如下：

A 365-day year bank certificate of deposit has an initial principal amount of USD 96.5 million and a redemption amount due at maturity of USD 100 million. The number of days between settlement and maturity is 350. The bond equivalent yield is closest to:

选项：

A.

3.48%.

B.

3.65%.

C.

3.78%.

解释：

C is correct.

The bond equivalent yield is closest to 3.78%. It 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, stated as an annual percentage rate (also, called bond equivalent yield).

AOR=(365350)×(100−96.596.5)AOR={(\frac{365}{350})}\times{(\frac{100-96.5}{96.5})}

AOR = 1.04286 × 0.03627

AOR = 0.03783 or approximately 3.78%

老师，我搞不清楚什么时候 年/日，什么时候日/年

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1 个答案

吴昊_品职助教 · 2020年08月06日

同学你好：

add on yield的公式在基础班讲义P170页，原理就是将FV折现成PV。折现的时候要将利率去年化，所以下列公式中是AOR×(Days/Year)。只要是利率去年化的，都是×Days/Year。我们将讲义中的公式转变一下就是题目解析中给出的公式形式，我建议同学可以直接记下列公式的折现原理，更方便解题。

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NO.PZ2016031001000083 老师，这个题我用 pv=-96.5 fv=100 n=350/365 pmt=0 compute i/yr 算出来答案一样的，这种算法是凑巧还是也可以

2022-01-16 08:55 1 · 回答

NO.PZ2016031001000083 3.65%. 3.78%. C is correct. The bonequivalent yielis closest to 3.78%. It is calculateas: AOR=(Yearys)×(FV−PVPV)AOR={(\frac{Year}{ys})}\times{(\frac{FV-PV}{PV})}AOR=(ysYear​)×(PVFV−PV​) where: PV = present value, principamount, or the priof the money market instrument FV = future value, or the remption amount paimaturity inclung interest ys = number of ys between settlement anmaturity Ye= number of ys in the yeAOR = a-on rate, stateannupercentage rate (also, callebonequivalent yiel. AOR=(365350)×(100−96.596.5)AOR={(\frac{365}{350})}\times{(\frac{100-96.5}{96.5})}AOR=(350365​)×(96.5100−96.5​) AOR = 1.04286 × 0.03627 AOR = 0.03783 or approximately 3.78% 考点BonEquivalent Yiel解析BonEquivalent Yiel一年按365天算的A-on YielBEY=【(FV-PV)/PV】×365/ys，代入可得BEY=3.78%，故C正确。 这个题我的理解是一年期的C购买价格是96.5到期赎回价格是100（1年后到期的赎回价格），在15天的时候卖出，然后求BEY。这个和解答不太一致。不知是我翻译理解错了，还是这个题出得有问题？

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NO.PZ2016031001000083 为什么要考虑那个settlement的时间呢

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2020-11-01 16:25 2 · 回答

3.65%. 3.78%. C is correct. The bonequivalent yielis closest to 3.78%. It is calculateas: AOR=(Yearys)×(FV−PVPV)AOR={(\frac{Year}{ys})}\times{(\frac{FV-PV}{PV})}AOR=(ysYear​)×(PVFV−PV​) where: PV = present value, principamount, or the priof the money market instrument FV = future value, or the remption amount paimaturity inclung interest ys = number of ys between settlement anmaturity Ye= number of ys in the yeAOR = a-on rate, stateannupercentage rate (also, callebonequivalent yiel. AOR=(365350)×(100−96.596.5)AOR={(\frac{365}{350})}\times{(\frac{100-96.5}{96.5})}AOR=(350365​)×(96.5100−96.5​) AOR = 1.04286 × 0.03627 AOR = 0.03783 or approximately 3.78% BEY不是半年复利一次吗？为什么不用转换成半年复利的利息？

2020-08-24 13:54 1 · 回答