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James · 2024年10月01日

WACC

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NO.PZ201809170300000107

问题如下:

Based on Exhibits 1 and 2 and the proposed single-stage FCFF model, the intrinsic value of Company C’s equity is closest to:

选项:

A.

$277,907 million.

B.

$295,876 million.

C.

$306,595 million.

解释:

C is correct. Company C’s firm value is calculated as follows:

The required rate of return on equity for Company C is

r = E(Ri) = RF + βi[E(RM)  RF] = 3% + 1.1(7%) = 10.7%.

WACC = rd (1 - Tax rate) + re

WACC = 0.40(6%)(1  0.30) + 0.60(10.7%) = 1.68% + 6.42% = 8.10%

FCFF for the most recent year for Company C is calculated as follows:

Investment in working capital is found by adding the increase in accounts receivable, the increase in inventories, the decrease in accounts payable, and the increase in other current liabilities: $536 million  $803 million  $3 million + $350 million = $992 million.

FCFF is expected to grow at 5.0% indefinitely. Thus,

Firm value = =  = = $510,990.97 million

The value of equity is the value of the firm minus the value of debt. The value of debt is found by multiplying the target debt ratio by the total firm value:

Debt value = 0.40($510,990.97) = $204,396.39

Therefore, equity value = $510,990.97  $204,396.39 = $306,594.58 million.

计算WACC的时候为什么D要✖️(1-t)

1 个答案
已采纳答案

王园圆_品职助教 · 2024年10月01日

同学你好,请看以下原版书的一段英文表达

“As we explain later, when we discount FCFF, we use an after-tax cost of capital. For consistency, we thus compute FCFF by using the after-tax interest paid. Note that we could compute WACC on a pretax basis and compute FCFF by adding back interest paid with no tax adjustment. Whichever approach is adopted, the analyst must use mutually consistent definitions of FCFF and WACC”

这句话的意思是:由于FCFF一般我们用NI +interest*(1-t)+NCC -WCInv-FCInv这样的公式来求解,其中NI是已经考虑了税以后的净利润,所以我们加回的interest也是考虑了税盾后的interest*(1-t)来计算的——此时为了估值的时候,分子分母的上下匹配原则,我们用来折现FCFF的WACC也必须是考虑了税以后的WACC = D*(1-t)/A*Rd + E/A *Re——这里就是我们一直上课讲的我们持续在使用的FCFF的计算公式和折现方式

当然也可以在计算FCFF的时候不考虑税来计算,譬如用EBT替代NI来作为计算FCFF的基础,那此时加回的interest 就也可以不用考虑调整税的影响了——但是此时用的WACC也必须是不考虑税的税前WACC,也就是D/A*Rd + E/A *Re了

但是一般来说,CFA里面到现在为止equity下用的WACC也好FCFF也好,都是用的考虑了税盾以后的公式计算的,所以从考试的角度出发,同学还是以税后的第一种公式为准哦

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