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哇哈哈哈 · 2024年09月05日

没太理解这道题的意思

NO.PZ2023032701000063

问题如下:

Raman collects additional data for valuing PBRI using the multistage RI model. 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) and discounts the terminal year’s residual income as a perpetuity. Other inputs are found in Exhibit 3.

Exhibit 3 Data for Residual Income Model

Using the data in Exhibit 3, 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 is closest to:

选项:

A.

$42.25

B.

$61.91

C.

$48.82

解释:

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 more 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 million

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

PV of the perpetual period residual income at T0= 87.58/(1.124)5=$48.82 million

没太理解这道题的意思,老师麻烦可以帮忙详细解释下这道题吗?辛苦啦

1 个答案
已采纳答案

王园圆_品职助教 · 2024年09月05日

同学你好,题目就是说分析师决定用多阶段RI模型来对公司进行估值

他认为公司RI一开始的5年是按照15%的增长率增长的;然后进入永续阶段的时候RI就是一个永续年金(也就是RI的值在第6年到永远都保持不变了)

然后表格3给了公司最近一期的NI=8,equity book valueBV0 = 20.97,Re=12.4%

问,RI进入永续增长阶段后的terminal value的现值对公司value的贡献有多少——其实就是要求把RI计算的terminal value折现到0时刻得到的值 

所以第一步就是算RI0,用RI = NI - Re*BV0带入上面条件中粉色部分的值即可得到

第二步就是计算terminal value,既然说第一年到第5年RI都是按照15%的增长率增长的,那直接RI6=RI0*(1+15%)^5

第三步,因为RI从第6年开始永远不变了,就适用于优先股估值模型或是以下讲义截图中PVRI计算方法中的第2种,计算PVRI5 = RI6/r  r=12.5%

最后再把这个PVRI5的值折现到0时刻即可得到答案:答案 = PVRI5/(1+12.4%)^5

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