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台风来了 · 2023年07月16日

the terminal value of the residual income stream in 5 years

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

Present value (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 T0= 87.58/(1.124)5=$48.82

 the terminal value of the residual income stream in 5 years, 这一句很容易理解为对这五年的residual income折现。

1 个答案

王园圆_品职助教 · 2023年07月17日

同学你好,terminal value是特指RI进入永续增长后的未来所有RI的现值之和的哦

这个是专业术语,不应该理解成别的东西呢

以下是二级原版书中关于RI的terminal value的定义,是特别强调了是预测终期,也就是题目中的第5年以后的时间的RI的现值哦

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NO.PZ2023032701000063 问题如下 Ramcollects aitionta for valuing PBRI using the multistage RI mol. For this mol, he assumes annugrowth rate of resiincome of 15% ring the forecast horizon of 5 years (Years 1 to 5) anscounts the terminyear’s resiincome a perpetuity. Other inputs are founin Exhibit 3.Exhibit 3 ta for ResiIncome MolUsing the ta in Exhibit 3, Raman's estimate of the contribution ththe terminvalue of the resiincome strein 5 years will contribute to the current value of equity is closest to: A.$42.25 B.$61.91 C.$48.82 Using a multi-stage resiincome mol anthe ta in Exhibit 3:Equity charge = Equity capit× Cost of equity capital= 20.97 × 0.124 = $2.60 millionResiincome of the more recent ye= Net income – Equity charge= 8.00 – 2.60 = $5.40 millionRaman’s assumegrowth rate ring the forecast perioof five years = 15%Annuresiincome ring the no growth perio(after Ye5) = 5.40 × (1.15)5 = $10.86 millionPresent value (PV) of the resiincome from perpetuperio T = 5 = ($10.86/0.124)=$87.58 millionPV of the perpetuperioresiincome 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下这道题吗?辛苦啦

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