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Andy · 2024年05月13日

debt增加难道不是WACC降低么?

NO.PZ2023090507000026

问题如下:

Based on Modigliani and Miller's Proposition II without taxes, which outcome is most likely when a firm increases its use of debt financing?

选项:

A.

The company's overall cost of capital decreases.

B.

The cost of equity remains unchanged.

C.

The cost of equity increases to offset the lower-cost debt.

解释:

A is incorrect because MM Proposition II clarifies that the increase in debt leads to a higher risk of bankruptcy, necessitating a higher return demanded by equity investors. This demand compensates for the increased risk, leaving the WACC unchanged.

B is incorrect because the cost of equity does not remain unchanged; it increases as more debt is introduced into the capital structure. This increase is a direct response to the heightened financial risk from additional leverage.

C is correct because MM Proposition II outlines that any addition of lower-cost debt is perfectly balanced by a rise in equity cost. This balance is essential to maintain the company's WACC at a constant level despite the increased leverage. The necessity for higher returns on equity is a reflection of the augmented risk associated with higher debt levels​​.

debt增加难道不是WACC降低么?

1 个答案

王琛_品职助教 · 2024年05月14日

嗨,爱思考的PZer你好:


1

不是绝对的哦

如果增加负债,问的 WACC 的影响,咱们一定要注意框架和前提

2

如果是有税 with taxes,WACC 才是减少哈

但如果是无税 without taxes,则 WACC 是不变的

3

因为当假设无税时, 随着 D/E 比例增加

虽然 re 增加了, 但是债权拥有更低的成本 rd, 且比例在提升

二者对 WACC 的影响互相抵消了, 所以维持了恒定 WACC

上面是文字表述,如果同学还是觉得不理解,可以使用公式计算验证

4

因为 Vu = CF / WACC

虽然杠杆比例会提升,但是 Vu 和 CF 都不受杠杆比例的影响

Vu 不受影响,是因为 MM 理论无税的推论 1 的结论,就是企业价值不受资本结构的影响

CF 不受影响,是因为 MM 理论的前提假设之一,是投资决策和融资决策是相互独立的

综上,在无税的前提下,增加负债,WACC 是不变的 

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就算太阳没有迎着我们而来,我们正在朝着它而去,加油!

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