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张大龙 · 2024年12月07日

这个是金融市场与产品的题吗?我怎么一点儿印象都没有?

NO.PZ2016082402000001

问题如下:

An investor buys a Treasury bill maturing in one month for $987. On the maturity date the investor collects $1,000. Calculate effective annual rate (EAR).

选项:

A.

17.0%

B.

15.8%

C.

13.0%

D.

11.6%

解释:

ANSWER: A

The EAR is defined byFVPV=(1+EAR)T\frac{FV}{PV}={(1+EAR)}^T . So (FVPV)1T1{(\frac{FV}{PV})}^\frac1T-1  EAR =  . Here, T = 1/12. So, EAR =   (1,000987)121=17.0%\;{(\frac{1,000}{987})}^{12}-1=17.0\%

这个是金融市场与产品的题吗?我怎么一点儿印象都没有?

1 个答案

李坏_品职助教 · 2024年12月07日

嗨,从没放弃的小努力你好:


这个考点是EAR的计算。这个属于比较老的考点,现在已经删除了。


EAR的意思是,从几何平均数的逻辑来看,每年平均的收益率是多少?这个Treasury bill的收益倍数是1000/987,假设平均每年的收益率是X,那么(1+X)^ (1/12) = 1000/987,所以X = 17%.


这道题了解一下即可。



----------------------------------------------
虽然现在很辛苦,但努力过的感觉真的很好,加油!

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NO.PZ2016082402000001 问题如下 investor buys a Treasury bill maturing in one month for $987. On the maturity te the investor collects $1,000. Calculate effective annurate (EAR). A.17.0% B.15.8% C.13.0% 11.6% ANSWER: AThe Eis finebyFVPV=(1+EAR)T\frac{FV}{PV}={(1+EAR)}^TPVFV​=(1+EAR)T . So (FVPV)1T−1{(\frac{FV}{PV})}^\frac1T-1(PVFV​)T1​−1 E= . Here, T = 1/12. So, E=   (1,000987)12−1=17.0%\;{(\frac{1,000}{987})}^{12}-1=17.0\%(9871,000​)12−1=17.0% EAR和BEY在讲义的哪个地方,找不到了

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