Actuaria Funidng Flashcards
(18 cards)
Actuarial funding methods
- to determine what these regular contributions should be and how large the liability is.
- for defined benefit arrangements or any arrangement where they can be applied to any benefit arrangement where there is a defined benefit that may become payable at some point in the future.
Valuation of liabilities for a DC
Accumulating the contributions paid into the fund at the appropriate rate of interest less any expenses incurred. Reserves can be set up in a do funds to smooth investment returns and allow for various other contingent or unforeseen cash flows .
The funding methods - funded in advance by regular contributions
Attained age method
Entry age
Projected unit method
Current unit method
modified contribution rate
Stcr + variation assisting from assets not being equal to the AL ( stcr modified to take account of the current funding position )
Projected unit method (PUAL)
AL - discounted value of benefit that accrued over the last period of membership
- allowance is made for any future inflationary growth of accrued benefits up to the assumed date
-based on projected final earnings for members
PUSTCR
Expressed as % of earnings
Pv of all benefits that will accrue in the control period by reference to service in that control period and projected final earnings divided by the present value of all members earnings in the control period
CUM
- accrued benefits method but no allowance is made for any earnings growth
- more generous accrual of benefits and more commonly used
CUAL
Present value of accrued benefits at the valuation date based on current earnings for members in service
CUSTCR
Present value of all benefits that will accrue in the control period following valuation period plus present value of all benefits accrued at the valuation date multiplied by the projected percentage increase in earnings over the control period / pv of all ,embers earnings in that control period
Variation of custcr
Cum allowance for revalued earnings using revaluation rate
If r = e then pum
Attained age
Stable rate of contribution that will accumulate to the value required to provide benefits that are expected to accrue over that future period of time .
Aastcr
Pv of a,, benefits that will accrue to current active members after valuation date on project final earnings divided by pv of total projected earnings of all current active members throughout their exo3cted future membership
Aaal
Pv of total Ben - value of stcr multiplied by total projected earnings for all active members = pv of all Ben accrued at val date based on final earnings
Relationship between AA and PUM
Aaal and pual will give the same result . This is because PUAL also uses projected earnings.
But Astra will be different to put stcr as the former considers full future period but puts r only considers the control period. As PUAL and aaal are the same, they will respond to changes in the interest rate assumptions the same.
Terminal
Terminal _ involve the employer making a lump sum available every time an eligible employee retires
This lump sum is expected benefit - PV of expected future amounts
Regular
Employer would make contributions throughout each employees working lifetime
- with aim of accumulating the expected cost of the benefit by the time the employee retires and the benefit becomes due
Criteria to choose the funding options
Stability
Security
realism
Affordability
Accounting
Liquidity
Tax
Opportunity cost
Regulation
Flexibility