问题如下图：
选项：
A. 
B. 
C. 
解释：
in five quarter是什么意思？这里的利率为什么可以直接用0.06%4而不是求年华收益率？
菲菲_品职助教 · 2018年09月06日
同学您好，
这道题的意思是，有一个按季度付息的优先股从第五个季度开始以永续年金的形式按季付息，每个季度支付的利息为$2.00。按照永续年金的公式PV=A/r，已知A=2，r=6%/4（6%为年利率），可得PV4=$133.33（这个求得的PV实际上是第四个季度末的PV），所以我们想要求这个stock现在的价值，就要把这个PV4进行折现。根据折现公式
，这里的FV就是刚刚所求得的PV4，
因为这道题是按季度来付利息，所以可以直接用0.06/4来算，不需要转换成年化收益率来计算。需要转换成年化收益率的情况是因为之后的计算都是以年为单位，算起来就会简便一些。还是要具体题目具体分析哦。
曼妙游离lyy · 2018年09月06日
谢谢～
NO.PZ2017092702000009 问题如下 A perpetupreferrestomakes its first quarterly vinpayment of $2.00 in five quarters. If the requireannurate of return is 6% compounquarterly, the stock’s present value is closest to: A.$31. B.$126. C.$133. B is correct. The value of the perpetuity one yefrom now is calculateas: PV = A/r, where PV is present value, A is annuity, anr is expressea quarterly requirerate of return because the payments are quarterly. PV = $2.00/(0.06/4) PV = $133.33. The value toy is (where FV is future value) PV = FV(1 + r)–NPV = $133.33(1 + 0.015)–4 PV = $125.62 ≈ $126 /sp12 /sp\frac12 /sp21 The value toy is (where FV is future value) PV = FV(1 + r)–NPV = $133.33(1 + 0.015)–4
NO.PZ2017092702000009 问题如下 A perpetupreferrestomakes its first quarterly vinpayment of $2.00 in five quarters. If the requireannurate of return is 6% compounquarterly, the stock’s present value is closest to: A.$31. B.$126. C.$133. B is correct. The value of the perpetuity one yefrom now is calculateas: PV = A/r, where PV is present value, A is annuity, anr is expressea quarterly requirerate of return because the payments are quarterly. PV = $2.00/(0.06/4) PV = $133.33. The value toy is (where FV is future value) PV = FV(1 + r)–NPV = $133.33(1 + 0.015)–4 PV = $125.62 ≈ $126 /sp12 /sp\frac12 /sp21 如题
NO.PZ2017092702000009 问题如下 A perpetupreferrestomakes its first quarterly vinpayment of $2.00 in five quarters. If the requireannurate of return is 6% compounquarterly, the stock’s present value is closest to: A.$31. B.$126. C.$133. B is correct. The value of the perpetuity one yefrom now is calculateas: PV = A/r, where PV is present value, A is annuity, anr is expressea quarterly requirerate of return because the payments are quarterly. PV = $2.00/(0.06/4) PV = $133.33. The value toy is (where FV is future value) PV = FV(1 + r)–NPV = $133.33(1 + 0.015)–4 PV = $125.62 ≈ $126 /sp12 /sp\frac12 /sp21 看答案的解析是说， 从Q5才开始pvin可是字面上in five quarters 同样可以理解为未来5个quarters内分别p2 vin 怎么样审题才能看出是从Q5开始分红利
NO.PZ2017092702000009 问题如下 A perpetupreferrestomakes its first quarterly vinpayment of $2.00 in five quarters. If the requireannurate of return is 6% compounquarterly, the stock’s present value is closest to: A.$31. B.$126. C.$133. B is correct. The value of the perpetuity one yefrom now is calculateas: PV = A/r, where PV is present value, A is annuity, anr is expressea quarterly requirerate of return because the payments are quarterly. PV = $2.00/(0.06/4) PV = $133.33. The value toy is (where FV is future value) PV = FV(1 + r)–NPV = $133.33(1 + 0.015)–4 PV = $125.62 ≈ $126 /sp12 /sp\frac12 /sp21 请问这个两阶段模型，第一阶段是后续永续增长的利息折现到t=5，然后用P5再向前折现对吗？P5向前折现为什么不是5次方呢？
NO.PZ2017092702000009 问题如下 A perpetupreferrestomakes its first quarterly vinpayment of $2.00 in five quarters. If the requireannurate of return is 6% compounquarterly, the stock’s present value is closest to: A.$31. B.$126. C.$133. B is correct. The value of the perpetuity one yefrom now is calculateas: PV = A/r, where PV is present value, A is annuity, anr is expressea quarterly requirerate of return because the payments are quarterly. PV = $2.00/(0.06/4) PV = $133.33. The value toy is (where FV is future value) PV = FV(1 + r)–NPV = $133.33(1 + 0.015)–4 PV = $125.62 ≈ $126 /sp12 /sp\frac12 /sp21 不是经过了五个季度吗？