梦梦 · 2024年06月11日
NO.PZ2019052801000034
问题如下：
Assume that the annual continuously compounded spot rates are: The 1.5-year bond has a $100 face value, 6% semiannual coupon payment. Calculate the bond price:
选项：
A.
$98.34.
B.
$99.73.
C.
$100.52.
D.
$101.05.
解释：
D is correct.
考点：Interest Rate
解析：
老师您好，之前课程里讲过，yield rate是0息债利率的平均数，那我可以先（Z1+Z2+Z3）/3求出yield rate，然后用连续复利的方式求吗？但我按计算器是42？差好多
李坏_品职助教 · 2024年06月11日
嗨，从没放弃的小努力你好：
不能直接加起来除以3。“yield rate是0息债利率的平均数”只是一个很粗犷的判断，不能直接拿来做计算题。
这道题如果要求yield rate，应该这样算：
3×e[(−0.05/2)×1]+3×e[(−0.051/2)×2]+103×e[(−0.052/2)×3] = 3×e[(−yield/2)×1]+3×e[(−yield/2)×2]+103×e[(−yield/2)×3],
求出yield即为yield rate。
但这样做是没必要的，因为上面等式左侧直接就求出来了 bond price。
----------------------------------------------加油吧，让我们一起遇见更好的自己！
梦梦 · 2024年06月11日
哦！原来如此，您的e后面【】中括号是e的多少次方吧？
NO.PZ2019052801000034 问题如下 Assume ththe annucontinuously compounspot rates are: Z1=5%,Z_1=5\%,Z1=5%, Z2=5.1%,Z_2=5.1\%,Z2=5.1%, Z3=5.2%,Z_3=5.2\%,Z3=5.2%,The 1.5-ye bonha $100 favalue, 6% semiannucoupon payment. Calculate the bonprice: A.$98.34. B.$99.73. C.$100.52. $101.05. is correct. 考点Interest Rate解析lB=3×e[(−0.05/2)×1]+3×e[(−0.051/2)×2]+103×e[(−0.052/2)×3]=2.93+2.85+95.27=$101.05{l}B=3\times e^{\lbrack{(-0.05/2)}\times1\rbrack}+3\times e^{\lbrack{(-0.051/2)}\times2\rbrack}+103\times e^{\lbrack{(-0.052/2)}\times3\rbrack}\\=2.93+2.85+95.27=\$101.05lB=3×e[(−0.05/2)×1]+3×e[(−0.051/2)×2]+103×e[(−0.052/2)×3]=2.93+2.85+95.27=$101.05 老师，这里的次方里面为什么还要乘以1,2,3？
NO.PZ2019052801000034 问题如下 Assume ththe annucontinuously compounspot rates are: Z1=5%,Z_1=5\%,Z1=5%, Z2=5.1%,Z_2=5.1\%,Z2=5.1%, Z3=5.2%,Z_3=5.2\%,Z3=5.2%,The 1.5-ye bonha $100 favalue, 6% semiannucoupon payment. Calculate the bonprice: A.$98.34. B.$99.73. C.$100.52. $101.05. is correct. 考点Interest Rate解析lB=3×e[(−0.05/2)×1]+3×e[(−0.051/2)×2]+103×e[(−0.052/2)×3]=2.93+2.85+95.27=$101.05{l}B=3\times e^{\lbrack{(-0.05/2)}\times1\rbrack}+3\times e^{\lbrack{(-0.051/2)}\times2\rbrack}+103\times e^{\lbrack{(-0.052/2)}\times3\rbrack}\\=2.93+2.85+95.27=\$101.05lB=3×e[(−0.05/2)×1]+3×e[(−0.051/2)×2]+103×e[(−0.052/2)×3]=2.93+2.85+95.27=$101.05 请问“Assume ththe annucontinuously compounspot rates are: Z1=5%, Z2=5.1%, Z3=5.2%,”这里说的是年化连续复利的折现率分别为Z1 Z2 Z3对吧？1.5yebon每半年的现金流折现率为什么不是(Z1)/2,Z1,(Z2)/2呢？
NO.PZ2019052801000034问题如下Assume ththe annucontinuously compounspot rates are: Z1=5%,Z_1=5\%,Z1=5%, Z2=5.1%,Z_2=5.1\%,Z2=5.1%, Z3=5.2%,Z_3=5.2\%,Z3=5.2%,The 1.5-ye bonha $100 favalue, 6% semiannucoupon payment. Calculate the bonprice: A.$98.34.B.$99.73.C.$100.52.$101.05.is correct. 考点Interest Rate解析lB=3×e[(−0.05/2)×1]+3×e[(−0.051/2)×2]+103×e[(−0.052/2)×3]=2.93+2.85+95.27=$101.05{l}B=3\times e^{\lbrack{(-0.05/2)}\times1\rbrack}+3\times e^{\lbrack{(-0.051/2)}\times2\rbrack}+103\times e^{\lbrack{(-0.052/2)}\times3\rbrack}\\=2.93+2.85+95.27=\$101.05lB=3×e[(−0.05/2)×1]+3×e[(−0.051/2)×2]+103×e[(−0.052/2)×3]=2.93+2.85+95.27=$101.05 解题过程和正确答案。谢谢
NO.PZ2019052801000034问题如下 Assume ththe annucontinuously compounspot rates are: Z1=5%,Z_1=5\%,Z1=5%, Z2=5.1%,Z_2=5.1\%,Z2=5.1%, Z3=5.2%,Z_3=5.2\%,Z3=5.2%,The 1.5-ye bonha $100 favalue, 6% semiannucoupon payment. Calculate the bonprice: A.$98.34.B.$99.73.C.$100.52.$101.05.is correct. 考点Interest Rate解析lB=3×e[(−0.05/2)×1]+3×e[(−0.051/2)×2]+103×e[(−0.052/2)×3]=2.93+2.85+95.27=$101.05{l}B=3\times e^{\lbrack{(-0.05/2)}\times1\rbrack}+3\times e^{\lbrack{(-0.051/2)}\times2\rbrack}+103\times e^{\lbrack{(-0.052/2)}\times3\rbrack}\\=2.93+2.85+95.27=\$101.05lB=3×e[(−0.05/2)×1]+3×e[(−0.051/2)×2]+103×e[(−0.052/2)×3]=2.93+2.85+95.27=$101.05 说了semiannual6%.那就是半年coupon就是六为啥是三，另外我觉得公式是下面为啥错了
