June 7th, 2008Deferred Acquisition Costs FAS 97
Deferred Acquisition Costs include all expenses that vary with and are directly related to the acquisition of new and renewal contracts.These expenses are capitalized and amortized over a period not exceeding the life of the policy,in proportion to Estimated Gross Profits (EGP).
The EGP is defined as:
EGP =
Cost of insurance charges(Mortality charges assessed) less death benefits paid in excess of account values released
+ Level expenses charges less administration expenses
+ Investment earnings on account balances less interest credited
+ Surrender charges collected
The EGPs are projected until the end of all contracts of the corresponding book of business using best estimate assumptions.The present values of the EGPs are calculated by using the credited rate as discount rate.
These assumptions are adjusted for future years according to actual experience.
A write off of DAC or amortization of DAC may be caused by dynamical unlocking or true up.
The replacement of assumptions by experience for the projections of future years is called “dynamical unlocking”.
The replacement of assumed values by realized values of the past year is called “true up process”.
The DAC balance as at the valuation data can be derived using the following two methods:
1)Retrospective Method:
Ending DAC Balance (EOY DAC) =
Beginning DAC balance (BOY DAC)
+ New DAC (DE)
+ DAC Interest on BOY DAC and DE
– DAC Amortization Charge (kDAC x EGP)
Mathematically,
DAC(t) = (DAC(t-1) + DAE(t))*(1+i(t))- K*AGP(t)
where,
•Beginning DAC balance will equal the closing DAC balance from the previous reporting period.
•New DAC is the amount of new DAC created in the reporting period. This reflects the DAC created for new business written in the reporting period as well as the additional DAC created on in-force business. New DAC includes:
Commission DAC
Expense(Non Commission) DAC
•Interest on DAC - As DAC is an asset on the balance sheet of the company, it earns interest.
•DAC Amortization - This reflects the amount of DAC that is charged as an expense in the income statement in the current reporting period.
Mathematically,Amortization for period t = KDAC * Actual Gross Profits(t)
KDAC is the DAC amortization rate and equals
Present value of Deferrable Acquisition Expenses + Accumulated Value of DAC/Present value of Estimated Gross Profits(EGPs) + Accumulated value of Actual Gross Profits(AGPs)
KDAC is basically percentage of gross profits required to provide for deferred policy acquisition costs.
The K-factor can change from year to year due to:
1)The true-up process (replacement of expected values by realized values, e.g. Actual historical gross profits(AGP) replace prior estimates of Gross profits(EGP)
2)The dynamical unlocking ( replacement of assumptions by experience for the projections of future years)
The DAC is recoverable if the k-factor is less than 100%.
If there is and Unearned Revenue Liabiliy, it may even be recoverable if the K-factor is higher than 100%.
If the K-factor is greater than 100% and there is no URL, a portion of the DAC or the total DAC has to be written off immediately, so that the new K-factor is equal 100%.
2)Prospective View of DAC
DAC Balance = kDAC x PV(Future Gross Profits) – PV(Future Deferred Expenses)
Mathematically,
DAC(t) = K*PV(EGP(t))- PV(DAE(t))
Formula(1) is preferred, because this DAC-roll forward provides more insight.