“If pension assets equal the present value of pension liabilities and if the rate of return earned on the assets equals the discount rate used to calculate the present value of the liabilities, then pension assets should be exactly sufficient to pay for the liabilities as they mature.” - quote from curriculum

Question: pension liabilities usually subject to employee’s salary so it’s not really predictable. How does it work? Thanks.

PV (Liability) = each person’s salary benefit discounted to a PV at the discount rate.

So if PV(Liab) = Pension assets - and any addition to the Liab is offset by a similar return on the assets - each time the two are moving in lock step.

There’s also unknown portion to it such as projected benefit obligation (PBO) which is projected using models and then brought back to present value using discounted rate.