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徐威廉 · 2019年12月01日

问一道题:NO.PZ2016031001000071 [ CFA I ]

问题如下图:

选项:请问,这算2014年4月10日PV的时候,4月10日这天的coupon为什么不参与折现,变为6期coupon的先付年金?

A.

B.

C.

解释:

2 个答案

吴昊_品职助教 · 2020年09月10日

同学你好:

由于4.10是一个付息日,付息日当天AI=0,因此flat price=full price=102.36,不再区分到底是flat price还是full price。但ppt上的公式也就是原版书上给出的公式都是full,所以这里不需要这么纠结,只要知道还需要将102.36复利到6.14就可以了。

吴昊_品职助教 · 2019年12月01日

嗨,爱思考的PZer你好:


这道题未涉及先付年金的概念。债券在某一时点的价值等于未来现金流折现求和,当期的coupon不是未来现金流。我们将未来五笔现金流折现到2014.4.10,得到现值之和为102.36。N=5,PMT=2.5,I/Y=2,FV=100,求得PV=102.36。然后再将这个数值复利到2014.6.16,得到full price为103.10。

我们之所以没有直接将未来五笔现金流折到2014.6.16,是因为五笔现金流的时间间隔不同,后面四笔现金流时间间隔是半年,而从6.16到10.10之间并不是半年。因此现金流就不是一个年金的形式,我们就没有办法用计算器直接求PV了。

 


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I Yuan · 2020年09月09日

助教你好,请问2014.4.10的$102.36是该时间点的flat price还是full price?谢谢

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NO.PZ2016031001000071 问题如下 BonG, scribein the exhibit below, is solfor settlement on 16 June 2014.AnnuCoupon 5%Coupon Payment Frequen SemiannualInterest Payment tes 10 April an10 OctoberMaturity te 10 October 2016y Count Convention 30/360AnnuYielto-Maturity 4%The flprifor BonG on the settlement te of 16 June 2014 is closest to: A.102.18. B.103.10. C.104.02. A is correct.The flpriof 102.18 is terminesubtracting the accrueinterest(from question 20) from the full pri(from question 19).PVFlat=PVFull−Acrrue InterestPV^{Flat}=PV^{Full}-Acrrue;InterestPVFlat=PVFull−AcrruenterestPVFlatPV^{Flat}PVFlat=103.10 - 0.92=102.18考点flpri full price解析flpri= full pri- accrueinterest = 103.10 - 0.92 = 102.18,故A正确。 如题

2023-10-22 08:24 2 · 回答

NO.PZ2016031001000071问题如下BonG, scribein the exhibit below, is solfor settlement on 16 June 2014.AnnuCoupon 5%Coupon Payment Frequen SemiannualInterest Payment tes 10 April an10 OctoberMaturity te 10 October 2016y Count Convention 30/360AnnuYielto-Maturity 4%The flprifor BonG on the settlement te of 16 June 2014 is closest to:A.102.18.B.103.10.C.104.02. A is correct.The flpriof 102.18 is terminesubtracting the accrueinterest(from question 20) from the full pri(from question 19).PVFlat=PVFull−Acrrue InterestPV^{Flat}=PV^{Full}-Acrrue;InterestPVFlat=PVFull−AcrruenterestPVFlatPV^{Flat}PVFlat=103.10 - 0.92=102.18考点flpri full price解析flpri= full pri- accrueinterest = 103.10 - 0.92 = 102.18,故A正确。 老师先谢谢了。。。。。

2023-03-02 04:59 1 · 回答

NO.PZ2016031001000071 问题如下 BonG, scribein the exhibit below, is solfor settlement on 16 June 2014.AnnuCoupon 5%Coupon Payment Frequen SemiannualInterest Payment tes 10 April an10 OctoberMaturity te 10 October 2016y Count Convention 30/360AnnuYielto-Maturity 4%The flprifor BonG on the settlement te of 16 June 2014 is closest to: A.102.18. B.103.10. C.104.02. A is correct.The flpriof 102.18 is terminesubtracting the accrueinterest(from question 20) from the full pri(from question 19).PVFlat=PVFull−Acrrue InterestPV^{Flat}=PV^{Full}-Acrrue;InterestPVFlat=PVFull−AcrruenterestPVFlatPV^{Flat}PVFlat=103.10 - 0.92=102.18考点flpri full price解析flpri= full pri- accrueinterest = 103.10 - 0.92 = 102.18,故A正确。 谢谢老师!

2022-10-13 14:30 2 · 回答

NO.PZ2016031001000071问题如下BonG, scribein the exhibit below, is solfor settlement on 16 June 2014.AnnuCoupon 5%Coupon Payment Frequen SemiannualInterest Payment tes 10 April an10 OctoberMaturity te 10 October 2016y Count Convention 30/360AnnuYielto-Maturity 4%The flprifor BonG on the settlement te of 16 June 2014 is closest to: A.102.18. B.103.10. C.104.02. A is correct.The flpriof 102.18 is terminesubtracting the accrueinterest(from question 20) from the full pri(from question 19).PVFlat=PVFull−Acrrue InterestPV^{Flat}=PV^{Full}-Acrrue;InterestPVFlat=PVFull−AcrruenterestPVFlatPV^{Flat}PVFlat=103.10 - 0.92=102.18考点flpri full price解析flpri= full pri- accrueinterest = 103.10 - 0.92 = 102.18,故A正确。 为啥clepri= rty pri- AI?前面是price,后面是rate,相减是怎么肥事?

2022-04-03 10:36 1 · 回答

有没有直接求flprice的公式的呢?

2020-11-06 23:10 1 · 回答