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Todd · 2024年05月17日

关于题中的div next year的说法

NO.PZ2018111302000033

问题如下:

The value per share of REIT C using discounted cash flow valuation using a two-step dividend model is closest to:

选项:

A.

$51.49.

B.

$58.37.

C.

$62.67.

解释:

C is correct.

考点:REITs估值方法

解析:Discount rate = risk free rate + beta * market risk premium = 4% + 0.85*5% = 8.25%

Value per share = Dividend at year 1 / (1+discount rate) + dividend at year 2 / (1+discount rate)^2 + dividend at year 3 / (1+discount rate)^3 + stock value at end of year 3

= 2/(1+8.25%) + 2*(1+6%)/(1+8.25%)^2 + 2*(1+6%)^2/(1+8.25%)^3 + [[(2*(1+6%)^2)*(1+5%)]/(8.25%-5%)]/(1+8.25%)^3 = 1.85 + 1.81 + 1.77 + 57.24 = $62.67

请问:题目中说的$2不是说next year的dividend吗,而第二年第三年的g是6%,所以第一年年末的div应该是2/(1+6%),第二年是2,第三年是2*(1+6%),这个现金流吗?

1 个答案

pzqa35 · 2024年05月17日

嗨,从没放弃的小努力你好:


我们站在当前为0时刻,题目中给的是第一年的Div是2,并且第2年和第三年的增长率都是6%,那么第二年的Div=2*1.06,第三年的Div=2*1.062,而未来现金流折现到第三年的价值V3=2*1.062*1.05/(8.25%-5%).我们在计算V3和折现时,应该使用的是由CAPM算出来的re=4% + 0.85*5% = 8.25%。

所以第一年的现金流是2,第二年的现金流是2.12,第三年的现金流是74.849,折现到0时刻就是62.67

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努力的时光都是限量版,加油!

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