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Anny Yang · 2025年04月21日

第一步里面算出来的5.4m的RI不应该是第一年的吗?

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NO.PZ202303150300000704

问题如下:

Using the data in Exhibit 1, Raman’s estimate of the contribution that the terminal value of the residual income stream in 5 years will contribute to the current value of equity (in $ millions) is closest to:

选项:

A.$48.82. B.$61.91. C.$42.25.

解释:

Solution

A is correct. Using a multi-stage residual income model and the data in Exhibit 3:

Equity charge = Equity capital × Cost of equity capital

= 20.97 × 0.124

= $2.60 million

Residual income of the most recent year = Net income – Equity charge

= 8.00 – 2.60

= $5.40 million

Raman’s assumed growth rate during the forecast period of five years = 15%

Annual residual income during the no growth period (after Year 5) = 5.40 × (1.15)5 = $10.86

PV of the residual income from perpetual period, as at T = 5 = ($10.86/0.124) = $87.58

PV of the perpetual period residual income at T = 0 = 87.58/(1.124)5 = $48.82

B is incorrect. It uses the Year 0 residual income as Year 1---one year timing difference.

C is incorrect. It uses WACC as the discount rate instead of the required return on equity.

第一步计算的5.4m的RI不应该是RI1吗?为什么是RI0?

1 个答案

王园圆_品职助教 · 2025年04月21日

同学你好,因为题目说了”“For this model, he assumes an annual growth rate of residual income of 15% during the forecast horizon of 5 years (Years 1 to 5)“也即是认为RI有增长率的是第一年RI1到第五年的RI5,所以根据表格2的信息算出来的就只能是0时刻的RI0了

不过这个题目确实有点牵强,如果说清楚是站在current year 年末的估值可能就不至于造成混淆了

这道题有点像套着RI的皮考察DDM 模型,所以不是标准题目,同学不用太在意,考试正式的题目应该表述会更清晰的

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