问题如下图:
选项:
A.
B.
C.
解释:
老师,这题是compounsed mounthly,连续复利。
不应该用EAR吗?我算出来EAR是0.3489左右,答案就不一样了。
星星_品职助教 · 2019年10月27日
同学你好,
如果是连续复利(continuous compounding)的话,确实需要计算出EAR。1+EAR=e^r
但这道题是compounded monthly,也就是说是按月计息的,所以这种情况就需要用6%/12来计算出期间利率,进而可以使用计算器了。如果算EAR的话就是1+EAR=(1+6%/12)^12
所以要熟悉英文的描述:compound是复利的意思,continuous compounding是连续复利。而如果出现 (stated) annual rate of 6%,compounded semiannually/monthly/weekly/daily等,就是离散的利率,可以算期间利率的。
NO.PZ2017092702000016 问题如下 A sports car, purchasefor £200,000, is financefor five years annurate of 6% compounmonthly. If the first payment is e in one month, the monthly payment is closest to: A.£3,847. B.£3,867. C.£3,957. B is correct,“the first payment is e in one month”是第一笔付款在第一个月的意思(t=1),所以是个后付年金问题。后付年金模式下,PV=-200,000, N=12*5, I/Y=6/12,FV=0 CPT PMT=3866.56 为什么不需要先计算EAR(6.17%),然后再代入PV=-200000,N=5*12,I/Y=6.17/12,FV=0,求PMT?
NO.PZ2017092702000016 问题如下 A sports car, purchasefor £200,000, is financefor five years annurate of 6% compounmonthly. If the first payment is e in one month, the monthly payment is closest to: A.£3,847. B.£3,867. C.£3,957. B is correct,“the first payment is e in one month”是第一笔付款在第一个月的意思(t=1),所以是个后付年金问题。后付年金模式下,PV=-200,000, N=12*5, I/Y=6/12,FV=0 CPT PMT=3866.56 为什么让PV=0,FV=200000算出来的不对的呢
NO.PZ2017092702000016问题如下A sports car, purchasefor £200,000, is financefor five years annurate of 6% compounmonthly. If the first payment is e in one month, the monthly payment is closest to: A.£3,847. B.£3,867. C.£3,957. B is correct,“the first payment is e in one month”是第一笔付款在第一个月的意思(t=1),所以是个后付年金问题。后付年金模式下,PV=-200,000, N=12*5, I/Y=6/12,FV=0 CPT PMT=3866.56 如果是按照月度复利计息,为什么不是(年利率6%+1)开12次方根再减1,按照这个计算下来是0.486755%,,,而是直接用年利率6%除以12个月等于0.5%?不考虑按月复利计息吗?
NO.PZ2017092702000016问题如下A sports car, purchasefor £200,000, is financefor five years annurate of 6% compounmonthly. If the first payment is e in one month, the monthly payment is closest to: A.£3,847. B.£3,867. C.£3,957. B is correct,“the first payment is e in one month”是第一笔付款在第一个月的意思(t=1),所以是个后付年金问题。后付年金模式下,PV=-200,000, N=12*5, I/Y=6/12,FV=0 CPT PMT=3866.56 这个e是预先支付的意思,为什么不能理解为0时刻支付?
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