问题如下:
Bond L is sold for settlement on 17 July 2011, and its properies are shown below.
The full price that bond L will settle at on 17 July 2011 is closest to:
选项:
A.102.36
B.104.41
C.103.65
解释:
B is correct.
老师,为什么是100/180次方呀?
NO.PZ2018062010000020 问题如下 BonL is sol for settlement on 17 July 2011, anits properies are shown below.The full prithbonL will settle on 17 July 2011 is closest to: A.102.36 B.104.41 C.103.65 B is correct.PVflat=3.5(1+6%2)1+3.5(1+6%2)2+3.5(1+6%2)3+3.5(1+6%2)4+3.5(1+6%2)5+103.5(1+6%2)6=102.71PV^{flat}=\frac{3.5}{(1+{\splaystyle\frac{6\%}2})^1}+\frac{\splaystyle3.5}{\splaystyle(1+\frac{6\%}2)^2}+\frac{\splaystyle3.5}{\splaystyle(1+\frac{6\%}2)^3}+\frac{\splaystyle3.5}{\splaystyle(1+\frac{6\%}2)^4}+\frac{\splaystyle3.5}{\splaystyle(1+\frac{6\%}2)^5}+\frac{\splaystyle103.5}{\splaystyle(1+\frac{6\%}2)^6}=102.71PVflat=(1+26%)13.5+(1+26%)23.5+(1+26%)33.5+(1+26%)43.5+(1+26%)53.5+(1+26%)6103.5=102.71PVfull=PVflat∗(1+6%2)100180=104.41PV^{full}=PV^{flat}\ast(1+\frac{6\%}2)^\frac{100}{180}=104.41PVfull=PVflat∗(1+26%)180100=104.41考点full price解析现在的时间点是2011.7.17,第一步是将未来六笔coupon折现到前一个付息日,也就是2011.4.7。我们之所以没有直接折现到2011.7.17是因为后面的现金流间距不同。第二步是将102.71复利到2011.7.17,复利的过程并不是加上AI的过程。因为4月7日距离7月17日一共100天,所以次方是100/180。 我直接是从2011/4/7~2014/4/7 算出来是6笔现金流。是需要从2011/7/17才开始往后看吗?
NO.PZ2018062010000020 问题如下 BonL is sol for settlement on 17 July 2011, anits properies are shown below.The full prithbonL will settle on 17 July 2011 is closest to: A.102.36 B.104.41 C.103.65 B is correct.PVflat=3.5(1+6%2)1+3.5(1+6%2)2+3.5(1+6%2)3+3.5(1+6%2)4+3.5(1+6%2)5+103.5(1+6%2)6=102.71PV^{flat}=\frac{3.5}{(1+{\splaystyle\frac{6\%}2})^1}+\frac{\splaystyle3.5}{\splaystyle(1+\frac{6\%}2)^2}+\frac{\splaystyle3.5}{\splaystyle(1+\frac{6\%}2)^3}+\frac{\splaystyle3.5}{\splaystyle(1+\frac{6\%}2)^4}+\frac{\splaystyle3.5}{\splaystyle(1+\frac{6\%}2)^5}+\frac{\splaystyle103.5}{\splaystyle(1+\frac{6\%}2)^6}=102.71PVflat=(1+26%)13.5+(1+26%)23.5+(1+26%)33.5+(1+26%)43.5+(1+26%)53.5+(1+26%)6103.5=102.71PVfull=PVflat∗(1+6%2)100180=104.41PV^{full}=PV^{flat}\ast(1+\frac{6\%}2)^\frac{100}{180}=104.41PVfull=PVflat∗(1+26%)180100=104.41考点full price解析现在的时间点是2011.7.17,第一步是将未来六笔coupon折现到前一个付息日,也就是2011.4.7。我们之所以没有直接折现到2011.7.17是因为后面的现金流间距不同。第二步是将102.71复利到2011.7.17,复利的过程并不是加上AI的过程。因为4月7日距离7月17日一共100天,所以次方是100/180。 1、为什么不是PVfull=PVflat∗(1+6%*100/360)?2、是否accrueinterest=PVflat∗6%*100/360?3、是否可以这么理解PVflat是2011年7月17日aler的报价,因为不是付息日,所以当天的报价就等于上一付息日(即2011年4月7日)的报价?
NO.PZ2018062010000020 怎么看出来是6?
NO.PZ2018062010000020 104.41 103.65 B is correct. PVflat=3.5(1+6%2)1+3.5(1+6%2)2+3.5(1+6%2)3+3.5(1+6%2)4+3.5(1+6%2)5+103.5(1+6%2)6=102.71PV^{flat}=\frac{3.5}{(1+{\splaystyle\frac{6\%}2})^1}+\frac{\splaystyle3.5}{\splaystyle(1+\frac{6\%}2)^2}+\frac{\splaystyle3.5}{\splaystyle(1+\frac{6\%}2)^3}+\frac{\splaystyle3.5}{\splaystyle(1+\frac{6\%}2)^4}+\frac{\splaystyle3.5}{\splaystyle(1+\frac{6\%}2)^5}+\frac{\splaystyle103.5}{\splaystyle(1+\frac{6\%}2)^6}=102.71PVflat=(1+26%)13.5+(1+26%)23.5+(1+26%)33.5+(1+26%)43.5+(1+26%)53.5+(1+26%)6103.5=102.71 PVfull=PVflat∗(1+6%2)100180=104.41PV^{full}=PV^{flat}\ast(1+\frac{6\%}2)^\frac{100}{180}=104.41PVfull=PVflat∗(1+26%)180100=104.41我算出来的AI=0.07*100*0.5*(100/180)=1.94, 然后用flpri减去AI,并不得中的结果啊