cococjy · 2020年08月08日
问题如下：
An investment of €500,000 today that grows to €800,000 after six years has a stated annual interest rate closest to:
选项：
A. 7.5% compounded continuously.
B. 7.7% compounded daily.
C. 8.0% compounded semiannually.
解释：
C is correct,
as shown in the following (where FV is future value and PV is present value): If: FVN = PV(1 + rs/m)mN, Then: rs = 0.07988 (rounded to 8.0%)
老师这道题用pv=500000 ,fv=800000 n=6 pmt=0这么算为什么不对呢
星星_品职助教 · 2020年08月09日
同学你好，
有两个问题，首先按照这个列式，计算器会显示Error，因为PV和FV符号相同了。如果把500,000的投资当成现金流出，800,000当成期末拿回来这么多钱的话，那么PV=-500,000，FV=800,000。
其次按照PV=-500,000，FV=800,000，PMT=0，N=6，CPT I/Y，得出的I/Y=8.1484为期间利率的概念，这里是以年为期间，所以也就是EAR，而不是stated annual interest rate的概念。所以需要把三个选项中给出的stated annual rate分别转化为EAR，然后和8.1484进行逐项比较，得出答案。
NO.PZ2017092702000011 问题如下 investment of €500,000 toy thgrows to €800,000 after six years ha stateannuinterest rate closest to: A.7.5% compouncontinuously. B.7.7% compounily. C.8.0% compounsemiannually. C is correct,shown in the following (where FV is future value anPV is present value): If: FVN = PV(1 + rs/m)mN, Then: (800,000500,000)12×6−1=rs2{(\frac{800,000}{500,000})}^\frac1{2\times6}-1=\frac{r_s}2(500,000800,000)2×61−1=2rs rs = 0.07988 (rounto 8.0%) 所以这一题直接用公式算或者用计算器第三排都可以是吗？那这一类型的题到底什么时候用公式什么时候可以用计算器呢？我好懵
NO.PZ2017092702000011 问题如下 investment of €500,000 toy thgrows to €800,000 after six years ha stateannuinterest rate closest to: A.7.5% compouncontinuously. B.7.7% compounily. C.8.0% compounsemiannually. C is correct,shown in the following (where FV is future value anPV is present value): If: FVN = PV(1 + rs/m)mN, Then: (800,000500,000)12×6−1=rs2{(\frac{800,000}{500,000})}^\frac1{2\times6}-1=\frac{r_s}2(500,000800,000)2×61−1=2rs rs = 0.07988 (rounto 8.0%) 请问如果是continuous componng怎么算FV （幂是多少？）
NO.PZ2017092702000011 问题如下 investment of €500,000 toy thgrows to €800,000 after six years ha stateannuinterest rate closest to: A.7.5% compouncontinuously. B.7.7% compounily. C.8.0% compounsemiannually. C is correct,shown in the following (where FV is future value anPV is present value): If: FVN = PV(1 + rs/m)mN, Then: (800,000500,000)12×6−1=rs2{(\frac{800,000}{500,000})}^\frac1{2\times6}-1=\frac{r_s}2(500,000800,000)2×61−1=2rs rs = 0.07988 (rounto 8.0%) 直接带答案的话，500,000六年后变多少
NO.PZ2017092702000011 问题如下 investment of €500,000 toy thgrows to €800,000 after six years ha stateannuinterest rate closest to: A.7.5% compouncontinuously. B.7.7% compounily. C.8.0% compounsemiannually. C is correct,shown in the following (where FV is future value anPV is present value): If: FVN = PV(1 + rs/m)mN, Then: (800,000500,000)12×6−1=rs2{(\frac{800,000}{500,000})}^\frac1{2\times6}-1=\frac{r_s}2(500,000800,000)2×61−1=2rs rs = 0.07988 (rounto 8.0%) 因为每个的利率和期数都不一样，是不是很难算中间那个？所以得每个都算一下？我的计算方法是500,000*（e的7.5次方）=780,000 B 500,000*（1+7.7%/365)的365*6次方=793,500 C 500,000*(1+8%/2)的6*2次方=800，516所以选C.请问我的计算方法对吗？有更简单的答题方法吗？
NO.PZ2017092702000011问题如下investment of €500,000 toy thgrows to €800,000 after six years ha stateannuinterest rate closest to:A.7.5% compouncontinuously.B.7.7% compounily.C.8.0% compounsemiannually.C is correct,shown in the following (where FV is future value anPV is present value): If: FVN = PV(1 + rs/m)mN, Then: (800,000500,000)12×6−1=rs2{(\frac{800,000}{500,000})}^\frac1{2\times6}-1=\frac{r_s}2(500,000800,000)2×61−1=2rs rs = 0.07988 (rounto 8.0%)老师这道题可以用代入，通过计算器第三行算吗？过程PV=-500000FV=800000PMT=0N=2*6 （semi annually）得出IY=3.994（semi annually）又因为是 semi annually所以 annually的rate=3.994*2=7.988 约等于8%
