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西红柿面 · 2024年12月19日

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NO.PZ202410180200002401

问题如下:

Determine whether the distributions from Patel’s portfolio are expected to be sufficient to cover the expected shortfall between his retirement needs and his anticipated income

选项:

解释:

The solution below shows that the expected distributions of EUR48,000 are greater than the expected shortfall of EUR30,000. Thus, the distributions are expected to be more than sufficient to help Patel meet his annual income needs in retirement. The expected shortfall between Patel's retirement needs and his anticipated income is equal to EUR30,000 (=200,000—50,000 - 120,000). The expected after-tax distributions from his portfolio are EUR48,000, as shown below:

FVA=B{[1+r(1-tx)]^T}-1=4,000,000{[1+0.02(1-0.40)]}=48,000

The current value of the portfolio or basis, B, is EUR4,000,000. The before-tax return, r, is the 2% yield from dividends and interest. The tax rate, tx , is 40%, and Tequals 1 to reflect the annual cash distributions to augment the shortfall. Note that this return ignores the after-tax return from capital appreciation, which would add to the excess of after-tax earnings over annual income needs.

  1. 为什么只考虑单个年份是否满足要求?题目问题的是10年以后是否满足要求,只算当年的是不是不够严谨?
  2. 为什么没有考虑到通胀的情况?有的科目是调整通胀有的是不调整,答案做法也没有突出这个的区别
1 个答案

费费_品职助教 · 2024年12月19日

嗨,从没放弃的小努力你好:


Determine whether the distributions from Patel’s portfolio are expected to be sufficient to cover the expected shortfall between his retirement needs and his anticipated income.

1.首先题目中没有明确说是算10年。 其次the distributions from Patel’s portfolio是每年都有的分红,如果我们考虑之后年份的,那么根据教材,分红利息会做再投资,也就是说之后年份的分红肯定是超过第一年的。如果第一年都能满足,那么之后的每一年都可以。

2.基于第一问我们没有考虑通货膨胀,另外,题目中如果需要咱们考虑,会明确说 accounting for the effect of inflation.

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努力的时光都是限量版,加油!

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