这题不是用计算器求I/Y吗?计算出来是C,哪里算错了?问题如下图:
选项:
A.
B.
C.
解释:
发亮_品职助教 · 2018年05月28日
是用计算器求I/Y。不过题目设定的是:with a periodicity of 12.
所以是一年复利12次的。
这样4年一共复利4×12次。所以用以下公式求出来的折现率是每一期的收益率,乘以12之后就是年化之后的收益率。
折出来 r = 0.601
所以对应的YTM = 7.21%
C答案是假设1年复利一次,所以这么求的:
FV=100,PV=-75,PMT=0,N=4 → CPT I/Y = 7.457%
这么算是假设一年复利一次,但是题目说了with periodicity of 12,一年复利12次。所以C答案显然不行,但是从C的答案算出复利12次对应的yield:
算下来 R=7.21%
NO.PZ2016031001000075 问题如下 The annuyielto-maturity, statefor with a periocity of 12, for a 4-year, zero coupon bonprice75 per 100 of pvalue is closest to: A.6.25%. B.7.21%. C.7.46%. B is correct.The annuyielto-maturity, statefor a periocity of 12, is 7.21%. It is calculatefollows:PV=FV(1+r)NPV=\frac{FV}{{(1+r)}^N}PV=(1+r)NFV75=(100(1+r)4×12)75={(\frac{100}{{(1+r)}^{4\times12}})}75=((1+r)4×12100)10075=(1+r)48\frac{100}{75}=(1+r)^{48}75100=(1+r)481.33333 =(1+r)48[1.33333]1/48 = [(1+r)48]1/481.3333302083= (1 + r)1.00601 = (1 + r)1.00601−1 = r0.00601 = rr × 12 = 0.07212, or approximately 7.21%考点bonvaluation解析利用计算器PV= -75,FV=100,PMT=0,N=4×12=48,求得I/Y=0.601×12=7.21,故B正确。 计算求解过程明白了, 问两个表述是什么意思1. statefor a periocity of 12 的periocity 是什么含义, 分12期计息吗 2. 题干最后一句怎么看出是让求YTM的,75 of100是什么意思
NO.PZ2016031001000075 问题如下 The annuyielto-maturity, statefor with a periocity of 12, for a 4-year, zero coupon bonprice75 per 100 of pvalue is closest to: A.6.25%. B.7.21%. C.7.46%. B is correct.The annuyielto-maturity, statefor a periocity of 12, is 7.21%. It is calculatefollows:PV=FV(1+r)NPV=\frac{FV}{{(1+r)}^N}PV=(1+r)NFV75=(100(1+r)4×12)75={(\frac{100}{{(1+r)}^{4\times12}})}75=((1+r)4×12100)10075=(1+r)48\frac{100}{75}=(1+r)^{48}75100=(1+r)481.33333 =(1+r)48[1.33333]1/48 = [(1+r)48]1/481.3333302083= (1 + r)1.00601 = (1 + r)1.00601−1 = r0.00601 = rr × 12 = 0.07212, or approximately 7.21%考点bonvaluation解析利用计算器PV= -75,FV=100,PMT=0,N=4×12=48,求得I/Y=0.601×12=7.21,故B正确。 没看懂这道题讲啥,可以翻译一下吗
NO.PZ2016031001000075 问题如下 The annuyielto-maturity, statefor with a periocity of 12, for a 4-year, zero coupon bonprice75 per 100 of pvalue is closest to: A.6.25%. B.7.21%. C.7.46%. B is correct.The annuyielto-maturity, statefor a periocity of 12, is 7.21%. It is calculatefollows:PV=FV(1+r)NPV=\frac{FV}{{(1+r)}^N}PV=(1+r)NFV75=(100(1+r)4×12)75={(\frac{100}{{(1+r)}^{4\times12}})}75=((1+r)4×12100)10075=(1+r)48\frac{100}{75}=(1+r)^{48}75100=(1+r)481.33333 =(1+r)48[1.33333]1/48 = [(1+r)48]1/481.3333302083= (1 + r)1.00601 = (1 + r)1.00601−1 = r0.00601 = rr × 12 = 0.07212, or approximately 7.21%考点bonvaluation解析利用计算器PV= -75,FV=100,PMT=0,N=4×12=48,求得I/Y=0.601×12=7.21,故B正确。 能否这样计算?75乘以(1+r/12)的48次方等于100。
NO.PZ2016031001000075 请问零息债券为什么会一年付息12次?
老师,这道题能否一下,没有理解