预测的总服务年限

问题如下：

The current service cost is closest to:

选项：

A.

$14,152.

B.

$15,758.

C.

$17,907.

解释：

A is correct.

Current service cost is the present value of annual unit credit earned in the current period.

Annual unit credit (benefit) per service year = Value at retirement/Years of service

Years of service = 15 (vested years of past service) + 7 (expected years until retirement) = 22 Annual unit credit = $393,949/22 = $17,906.77.

Current service cost (for 1 year) = Annual unit credit/[(1 + Discount rate)(Years until retirement at the end of Year 1)

= $17,906.77/(1+0.04)⁶ = $14,151.98.

考点：projected unit credit method

解析：XYZ公司使用projected unit credit method，projected unit credit method这种方法需要计算一个annual unit credit=value at retirement date/years of service，再把annual unit credit折现后可以求出current service cost。

Annual unit credit=Value at retirement/预测的总服务年限=393949/（15+7）=17906.77。

Current service cost=17906.77/(1+4%)⁶=14151.98，选择A。

虽然是站在0时刻，但我们是要计算公司当年欠下的养老金，也就是员工把0-1年这个期间服务完了之后公司多欠的养老金，因此只需要折现到第一年年底即可，就是折6年。

【提示】393,949是退休时一次性给付退休金，直接就是value at retirement，不用再自己计算了。如果不是lum-sum的给付方式，而是按年给付的话，还是需要自己计算value at retirement的。