Actuarial Notes

Deposit Accounting

Study guides: Exam DISC-IA, Exam 6U

Deposit Accounting is the treatment of a reinsurance contract that, despite its form, does not transfer both components of insurance risk: the net consideration paid is recorded as a deposit asset by the cedant and a deposit liability by the reinsurer, and the contract is accounted for as the financing arrangement it is. It is the alternative to reinsurance accounting when the risk transfer test fails.

\text{Deposit}_0 = \sum_{t} \frac{\text{Expected recoveries}_t}{(1+y)^t}

\text{Deposit}_t = \text{Deposit}_{t-1}(1+y) - \text{Recoveries}_t

  • Initial amount. Net consideration — premium less ceding commission or other allowances (SSAP No. 62R). For the cedant it is an admitted asset only if the reinsurer is qualified in the cedant's state of domicile or the deposit is secured by qualifying funds held.
  • Effective yield y equates the deposit with the expected amount and timing of recoveries. Each period the balance accretes at y as interest income (interest expense for the reinsurer), and cash settlements reduce it. When the actual or expected cash flows change, y is recalculated and the deposit reset to the amount it would have been had the new yield applied since inception, with the difference in interest income or expense.
  • What does not happen: no ceded premium, no ceded losses, and no deduction from the cedant's loss and LAE reserves. If the underlying losses are revalued upward, the cedant raises its gross reserves through incurred losses and its deposit through interest income — the recovery appears below the underwriting line, never in it.
  • Consequences for the metrics. Net written premium, the loss ratio and premium-to-surplus look exactly as they would with no reinsurance, and reserves stay gross. That is the point: a contract that transfers no insurance risk should not improve the measures that describe insurance risk. Nor may deposit accounting be used to avoid recognising a loss — a deposit with no remaining coverage behind it is not recoverable.
  • GAAP reaches the same end through ASC 340-30 (originally SOP 98-7), which measures the deposit according to what the contract does transfer — timing risk only, underwriting risk only, neither, or indeterminate. SSAP No. 62R adopts only part of that guidance and uses the effective-yield method above. See also Finite Reinsurance.

Interest Method on a Failed Contract A cedant pays net consideration of \$20M under a contract that fails risk transfer. It expects recoveries of \$10M at the end of year 1 and \$11.55M at the end of year 2.

Find the effective yield and the deposit balance at each year end. Then suppose that after receiving the year-1 recovery, the year-2 expectation rises to \$12.10M.

Answer Trying y = 5\%:

\begin{align*}
\frac{10}{1.05} + \frac{11.55}{1.05^2} &= 9.524 + 10.476 \\
&= 20.000
\end{align*}

So y = 5\%. Year 1: interest 1.00, balance 20 + 1.00 - 10 = 11.00. Year 2: interest 0.55, balance 11.00 + 0.55 - 11.55 = 0.

Revised estimate. Solve 20 = \frac{10}{1+y} + \frac{12.10}{(1+y)^2}, a quadratic in u = 1 + y:

\begin{align*}
u &= \frac{10 + \sqrt{100 + 4(20)(12.10)}}{2(20)} \\
&= 1.0670
\end{align*}

The yield becomes 6.70\%, and the deposit is reset to what it would have been at that yield from inception: 20(1.0670) - 10 = 11.34. The 0.34 increase is booked as additional interest income now; year 2 then accretes 11.34 \times 0.0670 = 0.76, bringing the balance to 12.10, which the final recovery clears. None of it touches premiums, losses or the loss ratio.

What the Cedant's Ratios Show An insurer has direct earned premium of \$300M, direct losses of \$210M and surplus of \$150M. It paid \$30M for a contract expected to recover \$27M. Compare its loss ratio and premium-to-surplus if the contract is booked as reinsurance and if it is a deposit (treat written and earned premium as equal).

Answer As reinsurance:

\begin{align*}
\text{Net loss ratio} &= \frac{210 - 27}{300 - 30} \\
&= 67.8\% \\
\text{Premium to surplus} &= \frac{270}{150} \\
&= 1.80
\end{align*}

As a deposit: loss ratio 210/300 = 70.0\% and premium to surplus 300/150 = 2.00, with a \$30M deposit asset that the \$27M of recoveries will draw down.

Booking a failed contract as reinsurance would flatter the loss ratio by 2.2 points and leverage by 0.2 — improvements with no risk behind them. That is precisely the misstatement the risk transfer test and the CEO/CFO attestation exist to prevent.

How it appears on the exam

  • DISC-IA: The deposit accounting objective asks when a reinsurance contract must be accounted for as a deposit and what that changes: no ceded premium, no ceded losses, no reduction of the loss reserves, and interest income or expense on the deposit.
  • Exams 6C and 6U: Risk transfer testing and the effective-yield method, as in the examples above.

Exam traps

  • Both components of risk: A contract must transfer both underwriting risk and timing risk to escape deposit accounting under SSAP No. 62R.
  • Recoveries are not ceded losses: Under deposit accounting a recovery draws down the deposit; it never reduces incurred losses or the loss ratio.