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谢朝木 · 2022年01月07日

这个题希望老师能结合翻译解释一下

NO.PZ2016031001000083

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)×(FVPVPV)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)×(10096.596.5)AOR={(\frac{365}{350})}\times{(\frac{100-96.5}{96.5})}

AOR = 1.04286 × 0.03627

AOR = 0.03783 or approximately 3.78%

考点:Bond Equivalent Yield

解析:Bond Equivalent Yield是一年按365天算的Add-on Yield。BEY=【(FV-PV)/PV】×365/days,代入可得BEY=3.78%,故选项C正确。

这个题我的理解是一年期的CD,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?
1 个答案

吴昊_品职助教 · 2022年01月07日

嗨,爱思考的PZer你好:


本题为原版书课后题,题目不存在问题。

题目已知PV=96.5,FV=100,要我们求BEY。这个settlement date是产品交割日,代表标的物交易一次的转手。而days between settlement and maturity,就是指还有多长时间到期,这是Money markets产品的说法。对应到债券里面就是time-to-maturity。所以本题的说法就是这种产品350天后到期,对应day=350。

考察的是BEY,即365天的AOR,代表的是一个折现率的概念。只不过这个折现率需要做一下天数的转化。下列公式一变形,就可以得到解析中的公式。即BEY=【(FV-PV)/PV】×365/days。

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虽然现在很辛苦,但努力过的感觉真的很好,加油!