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huangme7 · 2024年03月21日

问题

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NO.PZ202401310100000402

问题如下:

Compared to the reported 20X3 financial statements, if Terra Mercado had used the same discount rate it used in 20X1, it would have most likely reported lower:

选项:

A.

net income.

B.

total liabilities.

C.

cash flow from operating activities.

解释:

B is correct. A higher discount rate (5.38% instead of 4.85%) will reduce the present value of the pension obligation (liability). In most cases, a higher discount rate will decrease the interest cost component of the net periodic cost because the decrease in the obligation will more than offset the increase in the discount rate (except if the pension obligation is of short duration). Therefore, periodic pension cost would have been lower and reported net income higher. Cash flow from operating activities should not be affected by the change.

能否用公式解释下这题答案呢

1 个答案

王园圆_品职助教 · 2024年03月21日

同学你好,这道题就是一个定性的判断

因为20X3年如果用20X1年的discount rate,那用的就是更高的折现率来计算PBO

PBO就是未来公司兑员工义务的折现,用更高的折现率,而义务不变,肯定PBO的current service cost值下降。同样,由于一般DB plan的久期都比较长,所以利率增长一点点 PBO的值就会下降很多,interest cost = PBO期初* discount rate,PBO下降的多,interest rate增长的少,最后interest cost还是下降为主

两项结合来看, 就是PBO整体会下降。funded status是PBO和plan asset的轧差数,discount rate不考虑对plan asset 的影响,最后公司funded status肯定会更健康,也就是会使公司的净负债下降。

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