$3.$ ABC Co$.$ sponsors a defined benefit pension plan for its employees. On January $1,2020,$ the following balances related to this plan.

Plan assets $($market$-$related value$)$ $$600,000$

Projected benefit obligation $800,000$

Pension asset$/$liability $200,000$ Cr$.$

Prior service cost $90,000$

OCI $-$ Loss $120,000$

As a result of the operation of the plan during $2020,$ the actuary provided the following additional data for $2020.$

Service cost $$105,000$

Actual return on plan assets $60,000$

Amortization of prior service cost $10,000$

Contributions $120,000$

Benefits paid to retirees $80,000$

Average remaining service life of active employees $5$ years

Settlement rate $8\%$

Expected rate of return $10\%$

a$.$ Compute the annual pension expense for $2020.(6$ pts$)$

b$.$ Compute the projected benefit obligation at December $31,2020.(3$ pts$)$

c$.$ Compute the fair value of plan assets at December $31,2020.(3$ pts$)$

d$.$ Prepare the journal entry for the pension expenses in $2020.(8$ pts$)$