问题如下图:老师,为啥不是100/(1+6%)+100/(1+8%)+1100/(1+10%),课上的例题折算也是这样做的,这两道题情况有什么不同呢?
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解释:
NO.PZ2016031002000031 问题如下 The following spot anforwarrates have been given: Current 1-yespot rate is 6%. One-yeforwarrate one yefrom toy is 8%. One-yeforwarrate two years from toy is 10%.What's the value of a 3-year, 10% annual-pay, $1000 pvalue bon A.$996. B.$1,055. C.$1,086. B is correct.考点bonvaluation解析通过现金流折现求和,可得债券价格为1055.21,故B正确。Bonvalue=1001.06+100(1.06)(1.08)+1100(1.06)(1.08)(1.1)Bontext{ }value=\\\frac{100}{1.06}+\frac{100}{(1.06)(1.08)}+\frac{1100}{(1.06)(1.08)(1.1)}\\Bonvalue=1.06100+(1.06)(1.08)100+(1.06)(1.08)(1.1)1100=$1055.21 如题,老师我的算法是(1+y)三次方=(1+6%)(1+8%)(1+10%),算出来y=7.98% 然后n=3 pmt=100 FV=1000,算出来pv=1052,请问老师这种方法错在哪里呢?谢谢!
NO.PZ2016031002000031问题如下 The following spot anforwarrates have been given: Current 1-yespot rate is 6%. One-yeforwarrate one yefrom toy is 8%. One-yeforwarrate two years from toy is 10%.What's the value of a 3-year, 10% annual-pay, $1000 pvalue bonA.$996.B.$1,055.C.$1,086. B is correct.考点bonvaluation解析通过现金流折现求和,可得债券价格为1055.21,故B正确。Bonvalue=1001.06+100(1.06)(1.08)+1100(1.06)(1.08)(1.1)Bontext{ }value=\\\frac{100}{1.06}+\frac{100}{(1.06)(1.08)}+\frac{1100}{(1.06)(1.08)(1.1)}\\Bonvalue=1.06100+(1.06)(1.08)100+(1.06)(1.08)(1.1)1100=$1055.21 求解。
NO.PZ2016031002000031 问题如下 The following spot anforwarrates have been given: Current 1-yespot rate is 6%. One-yeforwarrate one yefrom toy is 8%. One-yeforwarrate two years from toy is 10%.What's the value of a 3-year, 10% annual-pay, $1000 pvalue bon A.$996. B.$1,055. C.$1,086. B is correct.考点bonvaluation解析通过现金流折现求和,可得债券价格为1055.21,故B正确。Bonvalue=1001.06+100(1.06)(1.08)+1100(1.06)(1.08)(1.1)Bontext{ }value=\\\frac{100}{1.06}+\frac{100}{(1.06)(1.08)}+\frac{1100}{(1.06)(1.08)(1.1)}\\Bonvalue=1.06100+(1.06)(1.08)100+(1.06)(1.08)(1.1)1100=$1055.21
$1,055. $1,086. B is correct. lBonvalue=1001.06+100(1.06)(1.08)+1100(1.06)(1.08)(1.1){l}Bontext{ }value=\\\frac{100}{1.06}+\frac{100}{(1.06)(1.08)}+\frac{1100}{(1.06)(1.08)(1.1)}\\lBonvalue=1.06100+(1.06)(1.08)100+(1.06)(1.08)(1.1)1100=$1055.21请问这道题和PPT176页的题一样,为什么算法不同?
为什么不能 (1+S3)3次方 = (1+S1)*(1+1y1y)2次方*(1+2y1y)3次方 S3=18.06% 最后用计算器 N=3 I/Y=18.06 PMT=100 FV=1000 算PV呢 谢谢