问题如下:
A client invests €20,000 in a four-year certificate of deposit (CD) that annually pays interest of 3.5%. The annual CD interest payments are automatically reinvested in a separate savings account at a stated annual interest rate of 2% compounded monthly. At maturity, the value of the combined asset is closest to:
选项:
A.€21,670.
B.€22,890.
C.€22,950.
解释:
B is correct,
as the following cash flows show:
The four annual interest payments are based on the CD’s 3.5% annual rate. The first payment grows at 2.0% compounded monthly for three years (where FV is future value): FVN = €700(1 +0.02/12 )3×12 FVN = 743.25 The second payment grows at 2.0% compounded monthly for two years: FVN = €700(1 +0.02/2 )2×12 FVN = 728.54 The third payment grows at 2.0% compounded monthly for one year: FVN = €700(1 +0.02/12 )1×12 FVN=714.13
The fourth payment is paid at the end of Year 4. Its future value is €700. The sum of all future value payments is as follows:
老师,请问算每个月700利息的FV时,如果不先算EAR,而是用N=12*4=48, I/Y=2%/12=0.166667,PV=0, PMT=700算,算出的FV是1338112.86,不知不先算EAR而是用48期按计算器错在哪里了呀?