开发者:上海品职教育科技有限公司 隐私政策详情

应用版本:4.2.11(IOS)|3.2.5(安卓)APP下载

mitmit · 2020年02月16日

问一道题:NO.PZ2017092702000011

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: (800,000500,000)12×61=rs2{(\frac{800,000}{500,000})}^\frac1{2\times6}-1=\frac{r_s}2    rs = 0.07988 (rounded to 8.0%)

用计算器N=6,算出年利率等于8.148375%。然后这个和题目问的有什么区别吗。。。

1 个答案
已采纳答案

星星_品职助教 · 2020年03月08日

同学你好(修改下之前的笔误),

这么算也可以。由于计算器上的I/Y指的都是期间利率,如果N设定为6,那么算出来的就是(有效)年利率。

所以这道题就转化成了哪种stated annual rate和计息频率的组合可以等价于这个有效年利率。C选项计算EAR=(1+8%/2)^2 -1 =8.16%.

同理,A选项是7.79%,B选项是8%。相对而言C选项和EAR=8.1484接近一些。

这题选项设置的有点相近,考试的时候一般会差的比较大,比如A算出来是6.5%,B算出来是6.8%这样的

  • 1

    回答
  • 0

    关注
  • 3822

    浏览
相关问题

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

2023-09-10 06:05 1 · 回答

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?)

2023-05-26 17:24 1 · 回答

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

2022-12-26 21:07 1 · 回答

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?

2022-11-21 16:06 1 · 回答

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%

2022-09-27 23:28 1 · 回答