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欢欢 · 2021年08月02日

答案里的R是指EAR吗？

  1. CFA I
  2. Quantitative

NO.PZ2015120601000001

问题如下：

An analyst expects that a company’s net sales will double and the company’s net income will triple over the next five-year period starting now. Based on the analyst’s expectations, which of the following best describes the expected compound annual growth?

选项：

A.

Net sales will grow 15% annually and net income will grow 25% annually.

B.

Net sales will grow 20% annually and net income will grow 40% annually.

C.

Net sales will grow 25% annually and net income will grow 50% annually.

解释：

A is correct.

Using the general time value of money formula, for sales, solve for r in the equation 2 = 1 × (1+r)5. For income, solve 3 = 1 × (1+r)5. Alternatively, using a financial calculator, for sales, enter N = 5, PV = 1, PMT = 0, FV = −2 and compute I/Y. For income, change the FV to −3 and again solve for I/Y. The solution for sales is 14.87%; and for income is 24.57%.

答案里的R是指EAR吗？

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1 个答案

星星_品职助教 · 2021年08月02日

同学你好，

是EAR的概念。但这个地方不用去区分。

因为题干和选项中的计息频率都是“年”，参见“...the expected compound annual growth”。这个背景下，名义年利率就是有效年利率，不需要进一步去区分或者做转化了。

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