C16 - Funding method DONE Flashcards
Define modified contribution rate (MCR)
MCR = SCR + spreading of any deficit/surplus
May be case, especially for closed schemes in deficit that the correction is made by fixed amounts rather than as an additional percentage of pay
(Spreading of surplus is the variation from the fund not being equal to the actuarial liability)
4 main funding methods
- Attained age method
- Entry age method
- Projected unit method
- Current unit method
SCR and AL for the attained age method
AASCR = (PV of future bens from cal date to exit based on projected salary) / (PV of future salary from cal date to exit)
AAAL = PV total bens - AASCR% x PV future salary
= PV of accrued bens based on projected future salary
= PUAL
Note total benefits are based on projected final earnings
SCR and AL for the entry age method
EASCR = (PV of future bens for a typical member joining at assumed entry age based on projected salary) / (PV of all future salary for the typical member)
EAAL = PV total bens - EASCR% x PV of future salary
NB EAAL is based on actual members, not typical
How may the entry age assumption be set?
- Chosen as one of the assumptions
- Derived from inspection of actual entry ages of the members
SCR and AL under projected unit method
PUSCR = (PV all Benefits accruing in year following val date based on projected salary) / (PV of salary in the year)
PUAL = PV of accrued benefits based on projected future salary
SCR and AL for the current unit method
CUSCR = (PV of bens that will accrue in year following val date based on projected salary + PV of all bens accrued at val date multiples by a year of projected salary growth) / (PV of salary in the next year)
CUAL = PV accrued Benefits based on current salary
Common adjustment made to accrued benefit funding methods
- Allowance for leaving service revaluation under the CUM
- Control periods applied to the PUM or CUM which lengthen the period over which the SCR is calculated
Give the general conditions for a stable SCR
- Assumptions and funding method remain unchanged
- Benefit structure remains unchanged
Conditions for a stable SCR under each funding method
EAM - Entry assumptions and assumptions about the typical member remain unchanged
PUM and AAM - stable age, sex and salary profile
CUM - stable age, sex, salary and past service profile
Describe what happened to the PUMSCR when:
- the scheme is closed
- proportion of females increases
- member expected to receive below average salary increases leaves the scheme
- SCR will increase as membership ages
- SCR expected to increase if females are expect to live longer than males
- SCR increases
What happened under AAM if the scheme is (assuming assumptions borne out):
- stable, ongoing, mature with 100% funding level
- closed
Open
- AASCR > PUSCR
- so paying AASCR will result in funds in excess of ongoing cost of benefits being built up
- If the surplus is spread consistently the MCR reduces until it stabilises at a point below the SCR
Closed
- Get a stable SCR and MCR if the calculation is performed once at the date of calculation
Give the high low rule and the situation where it cannot be used
For a mature scheme, if a method has a higher AL than another, then it will have a lower SCR
To apply the high/low rule, for an open scheme, it must be stable
This cannot be used for AAM (as payments of SCR generate a surplus)
For a mature, stable scheme rank:
- ALs
- SCRs
EEAL > AAAL = PUAL > CUAL
(Assuming the entry age assumption is lower than weighted average age)
CUSCR > PUSCR > EASCR
(The high/low rule cannot be applied to the AASCR, but it would be expected that the AASCR > PUSCR)
Give the general conditions for a stable MCR
- Conditions for a stable SCR hold
- No initial surplus or deficit so that initially MCR=SCR
- Assumptions are borne out in practice so that there is still no surplus or deficit
- SCR is actually paid