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:
老师这个题的答案我还是没太懂,还有我看同等题目题目给出的解析也可以用 i/y=2.02 pmt=-700 这个是pmt那里求出来的呢 我们是需要两个时间段分开求嘛