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NO.PZ2022123001000067

问题如下：

A company has an unsecured line of credit and needs to maintain its EBIT-to-interest coverage ratio greater than 2.0. Its EBIT is estimated to be between $36 million and $48million, with all values equally likely. If the forecasted interest charge for the year is $20million, the probability that EBIT/interest will be more than 2.0 is closest to:

选项：

66.7%

61.5%

33.3%

解释：

The EBIT-to-interest ratio is equal to 2.0 when the EBIT is $40 million. Given that the values between $36 million and $48 million are equally likely, the probability of the ratio being equal to or less than 2.0 is 33.3% (= [$40 million – $36 million]/[$48 million – $36 million]). Consequently, the probability of the ratio being greater than 2.0 is 66.7% (i.e., 1 – Probability of the ratio being equal to or less than 2.0).

麻烦老师翻一下，没看明白

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星星_品职助教 · 2023年10月22日

同学你好，

如果EBIT-to-interest coverage ratio=2.0（即EBIT/Interest=2.0），又已知interest=20m，则说明此时EBIT是40m。EBIT/Interest＞2.0的概率就是EBIT＞40的概率。

又已知EBIT的范围是从36m到48m。所以，EBIT＞40的概率就是从40到端点48的那一段（8m），除以整个区间的总长度48-36=12m。

8/12=66.67%

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NO.PZ2022123001000067 问题如下 A company hunsecureline of cret annee tomaintain its EBIT-to-interest coverage ratio greater th2.0. Its EBIT isestimateto between $36 million an$48million, with all values equallylikely. If the forecasteinterest charge for the yeis $20million, theprobability thEBIT/interest will more th2.0 is closest to: A.66.7% B.61.5% C.33.3% The EBIT-to-interest ratio is equto 2.0 when theEBIT is $40 million. Given ththe values between $36 million an$48 millionare equally likely, the probability of the ratio being equto or less than2.0 is 33.3% (= [$40 million – $36 million]/[$48 million – $36 million]).Consequently, the probability of the ratio being greater th2.0 is 66.7%(i.e., 1 – Probability of the ratio being equto or less th2.0). EBITA说的是between 36 an48，应该是收尾都取到了吧，分母为什么不是48-35？

2023-10-24 14:06 1 · 回答

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