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KKII · 2024年12月24日

为啥这道题算分红时用4百万，不用3百万，不是有1百万的负债吗？

  1. CFA III
  2. 个人IPS

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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.

为啥这道题算分红时用4百万，不用3百万，不是有1百万的负债吗？



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

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