问题如下图：
选项：
A. 
B. 
C. 
解释：
老师这道题的r为什么不用EAR公式算r?
星星_品职助教 · 2019年10月13日
同学你好，
这道题要求永续优先股的PV，其实就是永续年金求PV的算法，PV=A/r。要注意这里的r是期间利率的意思，而不是有效年利率。所以不用求EAR。
观察题干发现，给出的stated annual rate是6%，按季度付息，所以期间利率指得就是季度利率。季度利率r=6%/4=0.15%。分子上对应的“A”也是期间利息（在这里是季度dividend）的意思。由于题干给的2$就是季度分红，所以可以直接用。
建议复习巩固一下永续年金的算法和各个部分代表的含义，加油。
大大大可乐 · 2019年11月02日
季度利率r=6%/4=1.5%
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？
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 老师，此题困惑的地方是A perpetupreferrestomakes its first quarterly vinpayment of $2.00 in five quarters. 并不是表述为make its first quarterly vinpayment of $2 in the fifth quarter. 如何体会是从第五个季度开始付vin。
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 老师，题干的意思是不是前4季度均没有分红，直到第5个季度才分红2？
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 这里是写错了吗？ 算出的PV=133 下面继续算的时候133就成了FV?