Question

On January 1, 2021, Ravetch Corporation’s projected benefit obligation was $51 million. During 2021, pension benefits paid by the trustee were $7 million. Service cost for 2021 is $18 million. Pension plan assets (at fair value) increased during 2021 by $9 million as expected. At the end of 2021, there were no pension-related other comprehensive income (OCI) accounts. The actuary’s discount rate was 10%.
Determine the amount of the projected benefit obligation at December 31, 2021.

Answer 1

Answer:

$67.1 million

Explanation:

Given that,

Projected benefit obligation at the beginning of 2021 = $51 million

Service cost = $18 million

Retiree benefits  = $7 million

Projected benefit obligation at December 31, 2021:

= Beginning of 2021 + Service cost + Interest cost - Retiree benefits

= $51 million + $18 million + (10% × $51 million) - $7 million

= $51 million + $18 million + $5.1 million - $7 million

= $67.1 million