2. 外语
  3. If $5,000,000 is the initial amount placed in an account that collects 7％ annual interest, which of the following compounding ra

If $5,000,000 is the initial amount placed in an account that collects 7％ annual interest, which of the following compounding ra

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问题 If $5,000,000 is the initial amount placed in an account that collects 7％ annual interest, which of the following compounding rates would produce the largest total amount after two years?
选项 A、compounding annually
B、compounding quarterly
C、compounding monthly
D、compounding daily
E、All four of these would produce the same total.
答案D
解析 根据复利公式V：P(1+i/n)nt，公式中的P、i、t均为定值，考虑终值V随复利次数n如何变化。由于底数和指数都出现了n，考查其变化需要更高等的数学知识。所以此处仅需记住结论：当其他条件不变时，复利次数n越多，到期时的终值V(本息和)越大。因此按日复利时，到期终值最大，选择D选项。
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