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李同学2022-09-23 10:27:05

请问这道题是否按月复利计息对答案有影响吗

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Evian, CFA2022-09-23 11:39:53

ヾ(◍°∇°◍)ノ゙你好同学,

本题只能有“月利率”进行计算,此时为按月复利,没有其他利率可以使用。因为现金流发生的频率是“月”,于是折现利率只能是“月利率”。
所以不存在第二种利率的求解方法。
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追问
我的意思是 换成按年复利或者按日等复利计息方式 这道题的1/N都是0.5吗? 因为不同计息方式的EAR是不一样的
追答
不都是0.5 只有现金流按“年”频率发生,此时I/Y才是EAR 改成“年”: A financial contract offers to pay €4,800 per year for 8 years with the first payment made immediately. Assuming an annual discount rate of 6%, compounded monthly the present value of the contract is closest to: Using a financial calculator: N = 8; the discount rate, I/Y = EAR=6.1678; PMT = 4,800; FV = 0; Mode = BGN; CPT PV =-29,610
追问
老师 你还是没有理解我的意思 我是说Assuming an annual discount rate of 6%, compounded monthly这里的monthly如果改成按季按年按日或连续复利 但是依然按月即N=96这样算的话 1/Y是不是都是用6÷12=0.5 受不受复利方式的影响
追答
因为现金流发生的频率为月,此时折现率只能是月利率,题目给出的利率复利方式只能是按月。不存在你描述的情况。 如果题目现金流按“年发生”,利率匹配EAR,付息频率变,I/Y=EAR变: A financial contract offers to pay €4,800 per year for 8 years with the first payment made immediately. 付息频率变化: 1 Assuming an annual discount rate of 6%, compounded monthly the present value of the contract is closest to: 2 Assuming an annual discount rate of 6%, compounded quarterly the present value of the contract is closest to: 1 N = 8; the discount rate, I/Y = EAR=6.1678; PMT = 4,800; FV = 0; Mode = BGN; CPT PV =-29,610 2 N = 8; the discount rate, I/Y = EAR=6.1364; PMT = 4,800; FV = 0; Mode = BGN; CPT PV =-29,647

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