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minime2019 · 2019年03月08日

问一道题:NO.PZ2017092702000011

问题如下图:

    

选项:

A.

B.

C.

解释:


这个问题我用8.0% compounded semiannually 去算FV但是给出的答案不对,偏差太大

菲菲_品职助教 · 2019年03月09日

同学你好,可以提供一下你计算的过程吗?

1 个答案

菲菲_品职助教 · 2019年03月09日

同学你好,可以提供一下你的解答过程吗?

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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?)

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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

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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?

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