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Financial Guarantee Insurance Contracts | 3 Months Ended
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Mar. 31, 2016
Insurance [Abstract] |
Financial Guarantee Insurance Contracts | 6. FINANCIAL GUARNTEE INSURANCE CONTRACTS Amounts presented in this Note relate only to Ambac’s non-derivative insurance business for insurance policies issued to beneficiaries, including VIEs, for which we do not consolidate the VIE. Net Premiums Earned: Gross premiums are received either upfront (typical of public finance obligations) or in installments (typical of structured finance obligations). For premiums received upfront, an unearned premium revenue (“UPR”) liability is established, which is initially recorded as the cash amount received. For installment premium transactions, a premium receivable asset and offsetting UPR liability is initially established in an amount equal to: (i) the present value of future contractual premiums due (the “contractual” method) or (ii) if the assets underlying the insured obligation are homogenous pools which are contractually prepayable, the present value of premiums to be collected over the expected life of the transaction (the “expected” method). An appropriate risk-free rate corresponding to the weighted average life of each policy and currency is used to discount the future premiums contractually due or expected to be collected. For example, U.S. dollar exposures are discounted using U.S. Treasury rates while exposures denominated in a foreign currency are discounted using the appropriate risk-free rate for the respective currency. The weighted average risk-free rate at March 31, 2016 and December 31, 2015, was 2.5% and 2.7%, respectively, and the weighted average period of future premiums used to estimate the premium receivable at March 31, 2016 and December 31, 2015, was 9.2 years and 9.2 years, respectively. Insured obligations consisting of homogeneous pools for which Ambac uses expected future premiums to estimate the premium receivable and UPR include residential mortgage-backed securities. As prepayment assumptions change for homogenous pool transactions, or if there is an actual prepayment for a “contractual” method installment transaction, the related premium receivable and UPR are adjusted in equal and offsetting amounts with no immediate effect on earnings using new premium cash flows and the then current risk-free rate. Generally, the priority for the payment of financial guarantee premiums to Ambac, as required by the bond indentures of the insured obligations, is senior in the waterfall. Additionally, in connection with the allocation of certain liabilities to the Segregated Account, trustees and other parties are required under the Segregated Account Rehabilitation Plan and related court orders to continue to pay installment premiums, notwithstanding the Segregated Account Rehabilitation Proceedings. In evaluating the credit quality of the premium receivables, management evaluates the transaction waterfall structures and the internal ratings of the transactions underlying the premium receivables. Uncollectable premiums are determined on a policy basis and utilize a combination of historical premium collection data in addition to cash flow analysis to determine if an impairment in the related policy's premium receivables exist. As of March 31, 2016 and December 31, 2015, approximately 25% and 27% of the premium receivables related to transactions with non-investment grade internal ratings, comprised mainly of non-investment grade RMBS, structured insurance, lease securitizations and student loan transactions, which comprised 8%, 5%, 4%, and 3%, of the total premium receivables at March 31, 2016 and 8%, 5%, 5%, and 5% of the total premium receivables at December 31, 2015, respectively. At March 31, 2016 and December 31, 2015, $10,114 and $15,240 respectively, of premium receivables were deemed uncollectable. Past due premiums on policies insuring non-investment grade obligations amounted to less than $500 at March 31, 2016. Below is the gross premium receivable roll-forward for the affected periods:
|  | Three Months Ended March 31,
|  | 2016 |  | 2015
Beginning premium receivable |  | $ | 831,575 |  |  | $ | 1,000,607 |
Premium receipts |  | (21,377 | ) |  | (27,453 | )
Adjustments for changes in expected and contractual cash flows |  | (35,029 | ) |  | (5,918 | )
Accretion of premium receivable discount |  | 5,123 |  |  | 6,282 |
Changes to uncollectable premiums |  | 5,126 |  |  | 698 |
Other adjustments (including foreign exchange) |  | (3,340 | ) |  | (22,217 | )
Ending premium receivable |  | $ | 782,078 |  |  | $ | 951,999 |
Similar to gross premiums, premiums ceded to reinsurers are paid either upfront or in installments. Premiums ceded to reinsurers reduce the amount of premiums earned by Ambac from its financial guarantee insurance policies. When a bond issue insured by Ambac Assurance has been retired, including those retirements due to calls, any remaining UPR is recognized at that time to the extent the financial guarantee contract is legally extinguished, causing accelerated premium revenue. For installment premium paying transactions, the recognition of any remaining UPR is offset by the reduction of the related premium receivable to zero (as it will not be collected as a result of the retirement), which may cause negative accelerated premium revenue. Ambac’s accelerated premium revenue for retired obligations for the three months ended March 31, 2016 and 2015 was $14,976 and $22,852, respectively. Certain obligations insured by Ambac have been legally defeased whereby government securities are purchased by the issuer with the proceeds of a new bond issuance, or less frequently with other funds of the issuer, and held in escrow. The principal and interest received from the escrowed securities are then used to retire the Ambac-insured obligations at a future date either to their maturity date (a refunding) or a specified call date (a pre-refunding). Ambac has evaluated the provisions in certain financial guarantee insurance policies issued on legally defeased obligations and determined those insurance policies have not been legally extinguished. For policies with refunding securities, premium revenue recognition is not impacted as the escrowed maturity date is the same as the previous legal maturity date. For policies with pre-refunding securities, the maturity date of the pre-refunded security has been shortened from its previous legal maturity. Although premium revenue recognition has not been accelerated in the period of the pre-refunding, it results in an increase in the rate at which the policy's remaining UPR is to be recognized. The effect of reinsurance on premiums written and earned for the respective periods was as follows:
| Three Months Ended March 31, 2016 |  |  | Three Months Ended March 31, 2015
| Written |  | Earned |  |  | Written |  | Earned
Direct | $ | (24,780 | ) |  | $ | 56,990 |  |  |  | $ | 1,062 |  |  | $ | 71,649 |
Assumed | — |  |  | 21 |  |  |  | — |  |  | 22 |
Ceded | (6,045 | ) |  | 4,211 |  |  |  | 365 |  |  | 5,953 |
Net premiums | $ | (18,735 | ) |  | $ | 52,800 |  |  |  | $ | 697 |  |  | $ | 65,718 |
The table below summarizes the future gross undiscounted premiums to be collected and future premiums earned, net of reinsurance at March 31, 2016:
| Future premiums to be collected (1) |  | Future premiums to be earned net of reinsurance (1)
Three months ended: |  |  |
June 30, 2016 | $ | 19,259 |  |  | $ | 31,587 |
September 30, 2016 | 18,942 |  |  | 29,248 |
December 31, 2016 | 19,299 |  |  | 27,519 |
Twelve months ended: |  |  |
December 31, 2017 | 72,081 |  |  | 96,126 |
December 31, 2018 | 67,527 |  |  | 84,162 |
December 31, 2019 | 63,878 |  |  | 77,934 |
December 31, 2020 | 60,815 |  |  | 73,366 |
Five years ended: |  |  |
December 31, 2025 | 249,945 |  |  | 294,692 |
December 31, 2030 | 203,751 |  |  | 203,435 |
December 31, 2035 | 131,456 |  |  | 119,037 |
December 31, 2040 | 44,366 |  |  | 42,309 |
December 31, 2045 | 20,266 |  |  | 17,763 |
December 31, 2050 | 7,247 |  |  | 7,818 |
December 31, 2055 | 601 |  |  | 1,298 |
Total | $ | 979,433 |  |  | $ | 1,106,294 |
(1) | Future premiums to be collected is undiscounted and are used to derive the discounted premium receivable asset recorded on Ambac's balance sheet. Future premiums to be earned, net of reinsurance relate to the unearned premium liability and deferred ceded premium asset recorded on Ambac’s balance sheet. The use of contractual lives for many bond types which do not have homogeneous pools of underlying collateral is required in the calculation of the premium receivable, as further described in Note 2. Basis of Presentation and Significant Accounting Principles in the Notes to Consolidated Financial Statements included in Ambac's Annual Report on Form 10-K for the year ended December 31, 2015. This results in a different premium receivable balance than if expected lives were considered. If installment paying policies are retired or prepay early, premiums reflected in the premium receivable asset and amounts reported in the above table for such policies may not be collected. Future premiums to be earned also considers the use of contractual lives for many bond types which do not have homogeneous pools of underlying collateral, which may result in higher unearned premium than if expected lives were considered. If those bonds types are retired early, premium earnings may be negative in the period of call or refinancing.
Loss and Loss Expense Reserves: The loss and loss expense reserve (“loss reserve”) policy for financial guarantee insurance relates only to Ambac’s non-derivative insurance business for insurance policies issued to beneficiaries, including VIEs, for which we do not consolidate the VIE. Losses and loss expenses are based upon estimates of the ultimate aggregate losses inherent in the non-derivative financial guarantee portfolio as of the reporting date. A loss reserve is recorded on the balance sheet on a policy-by-policy basis. Loss reserve components of an insurance policy include unpaid claims and the present value ("PV") of expected net cash flows required to be paid under an insurance contract, further described below:
• | Unpaid claims represent the sum of (i) claims presented and not yet paid for policies allocated to the Segregated Account, including Deferred Amounts and (ii) accrued interest on Deferred Amounts as required by the amended Segregated Account Rehabilitation Plan that became effective on June 12, 2014. Refer to Note 1. Background and Business Description in the Notes to Consolidated Financial Statements included in Ambac's Annual Report on Form 10-K for further discussion of the amended Segregated Account Rehabilitation Plan. Unpaid claims are measured based on the cost of settling the claims, which is principal plus accrued interest.
• | The PV of expected net cash flows represents the PV of expected cash outflows less the PV of expected cash inflows. The PV of expected net cash flows are impacted by: (i) expected future claims to be paid under an insurance contract, including the impact of potential settlement outcomes upon future installment premiums, (ii) expected recoveries from contractual breaches of RMBS representations and warranties by transaction sponsors, (iii) excess spread within the underlying transaction's cash flow structure, and (iv) other subrogation recoveries. Expected receipts from third parties within the underlying transaction's cash flow structure relating to contractual breaches in non-RMBS securitizations may also reduce expected future claims. Ambac’s approach to resolving disputes involving contractual breaches by transaction sponsors or other third parties has included negotiations and/or pursuing litigation. Ambac does not include potential recoveries attributed solely to fraudulent inducement claims in our estimate of subrogation recoveries, since any remedies under such claims would be non-contractual.
Net cash outflow policies represent contracts where the sum of unpaid claims plus the PV of expected cash outflows are greater than the PV of expected cash inflows. For such policies, a “Loss and loss expense reserves” liability is recorded for the sum of: (i) unpaid claims plus (ii) the excess of the PV of expected net cash outflows over the unearned premium reserve. Net cash inflow policies represent contracts where losses have been paid, but not yet recovered, such that the PV of expected cash inflows are greater than the sum of unpaid claims plus the PV of expected cash outflows. For such policies, a “Subrogation recoverable” asset is recorded for the difference between (i) the PV of expected net cash inflows and (ii) unpaid claims. The approaches used to estimate expected future claims and expected future recoveries considers the likelihood of all possible outcomes. The evaluation process for determining expected losses is subject to certain estimates and judgments based on our assumptions regarding the probability of default by the issuer of the insured security, probability of settlement outcomes (which may include commutation settlements, refinancing and/or other settlement outcomes) and expected severity of credits for each insurance contract. Ambac’s loss reserves are based on management’s on-going review of the financial guarantee credit portfolio. Below are the components of the Loss and loss expense reserves liability and the Subrogation recoverable asset at March 31, 2016 and December 31, 2015:
| Unpaid Claims |  | Present Value of Expected Net Cash Flows |  |  |  |
Balance Sheet Line Item | Claims |  | Accrued Interest |  | Claims and Loss Expenses |  | Recoveries |  | Unearned Premium Revenue |  | Gross Loss and Loss Expense Reserves
March 31, 2016: |  |  |  |  |  |  |  |  |  |  |
Loss and loss expense reserves | $ | 2,348,259 |  |  | $ | 417,508 |  |  | $ | 3,090,003 |  |  | $ | (1,384,282 | ) |  | $ | (167,941 | ) |  | $ | 4,303,547 |
Subrogation recoverable | 635,735 |  |  | 115,320 |  |  | 200,258 |  |  | (1,611,784 | ) |  | — |  |  | (660,471 | )
Totals | $ | 2,983,994 |  |  | $ | 532,828 |  |  | $ | 3,290,261 |  |  | $ | (2,996,066 | ) |  | $ | (167,941 | ) |  | $ | 3,643,076 |
December 31, 2015: |  |  |  |  |  |  |  |  |  |  |
Loss and loss expense reserves | $ | 2,138,952 |  |  | $ | 349,668 |  |  | $ | 3,265,349 |  |  | $ | (1,476,276 | ) |  | $ | (189,587 | ) |  | $ | 4,088,106 |
Subrogation recoverable | 828,802 |  |  | 141,349 |  |  | 207,674 |  |  | (2,407,118 | ) |  | — |  |  | (1,229,293 | )
Totals | $ | 2,967,754 |  |  | $ | 491,017 |  |  | $ | 3,473,023 |  |  | $ | (3,883,394 | ) |  | $ | (189,587 | ) |  | $ | 2,858,813 |
Below is the loss and loss expense reserve roll-forward, net of subrogation recoverable and reinsurance, for the affected periods:
| Three Months Ended March 31,
| 2016 |  | 2015
Beginning gross loss and loss expense reserves | $ | 2,858,813 |  |  | $ | 3,798,733 |
Less reinsurance on loss and loss expense reserves | 44,059 |  |  | 100,355 |
Beginning balance of net loss and loss expense reserves | $ | 2,814,754 |  |  | $ | 3,698,378 |
Changes in the loss and loss expense reserves due to: |  |  |
Current year: |  |  |
Establishment of new loss and loss expense reserves, gross of RMBS subrogation and net of reinsurance | 768 |  |  | 1 |
Claim and loss expense (payments) recoveries, net of subrogation and reinsurance | — |  |  | — |
Total current year | 768 |  |  | 1 |
Prior years: |  |  |
Change in previously established loss and loss expense reserves, gross of RMBS subrogation and net of reinsurance | (95,811 | ) |  | (132,639 | )
Claim and loss expense (payments) recoveries, net of subrogation and reinsurance | 916,206 |  |  | (104,202 | )
(Increase) decrease in previously established RMBS subrogation recoveries, net of reinsurance | (20,319 | ) |  | (44,195 | )
Total prior years | 800,076 |  |  | (281,036 | )
Net change in net loss and loss expense reserves | 800,844 |  |  | (281,035 | )
Ending net loss and loss expense reserves | 3,615,598 |  |  | 3,417,343 |
Add reinsurance on loss and loss expense reserves (1) | 27,478 |  |  | 74,519 |
Ending gross loss and loss expense reserves | $ | 3,643,076 |  |  | $ | 3,491,862 |
(1) | Reinsurance recoverable reported on the Balance Sheet also includes reinsurance recoverables (payables) of previously presented loss and loss expenses of $(162) and $4,789 as of March 31, 2016 and 2015, respectively.
The increase in gross loss and loss expense reserves during the three months ended March 31, 2016 was due to the receipt of RMBS subrogation recoverables related to loss and loss expense reserves established in prior years. Offsetting this increase in loss and loss expense reserves was positive development primarily due to the impact of commutations in the student loan portfolio and reduced future claims for the RMBS portfolio partially offset by negative development in certain public finance and Ambac UK transactions and interest accrued on Deferred Amounts. The positive development in loss and loss expense reserves established in prior years for the three months ended March 31, 2015 was primarily due to reduced future claims in the RMBS and student loan portfolios and the impact of commutations in the student loan portfolio. The net change in net loss and loss expense reserves are included in losses and loss expenses in the Consolidated Statements of Total Comprehensive Income. Reinsurance recoveries of losses included in losses and loss expenses in the Consolidated Statements of Total Comprehensive Income were an expense of $9,454 and $20,601 for the three months ended March 31, 2016 and 2015, respectively. The tables below summarize information related to policies currently included in Ambac’s loss and loss expense reserves or subrogation recoverable at March 31, 2016 and December 31, 2015. Gross par exposures include capital appreciation bonds which are reported at the par amount at the time of issuance of the insurance policy. The weighted average risk-free rate used to discount loss reserves at March 31, 2016 and December 31, 2015 was 2.0% and 2.4%, respectively.
Surveillance Categories as of March 31, 2016
| I/SL |  | IA |  | II |  | III |  | IV |  | V |  | Total
Number of policies | 40 |  |  | 14 |  |  | 26 |  |  | 59 |  |  | 166 |  |  | 3 |  |  | 308 |
Remaining weighted-average contract period (in years) | 10 |  |  | 17 |  |  | 26 |  |  | 17 |  |  | 15 |  |  | 6 |  |  | 16 |
Gross insured contractual payments outstanding: |  |  |  |  |  |  |  |  |  |  |  |  |
Principal | $ | 2,217,143 |  |  | $ | 262,318 |  |  | $ | 1,962,283 |  |  | $ | 2,440,917 |  |  | $ | 8,662,183 |  |  | $ | 54,590 |  |  | $ | 15,599,434 |
Interest | 962,608 |  |  | 107,335 |  |  | 6,835,208 |  |  | 1,619,094 |  |  | 2,342,277 |  |  | 16,790 |  |  | 11,883,312 |
Total | $ | 3,179,751 |  |  | $ | 369,653 |  |  | $ | 8,797,491 |  |  | $ | 4,060,011 |  |  | $ | 11,004,460 |  |  | $ | 71,380 |  |  | $ | 27,482,746 |
Gross undiscounted claim liability (1) | $ | 7,717 |  |  | $ | 5,630 |  |  | $ | 165,930 |  |  | $ | 1,259,532 |  |  | $ | 6,254,134 |  |  | $ | 71,379 |  |  | $ | 7,764,322 |
Discount, gross claim liability | (534 | ) |  | (502 | ) |  | (83,763 | ) |  | (291,056 | ) |  | (645,766 | ) |  | (4,876 | ) |  | (1,026,497 | )
Gross claim liability before all subrogation and before reinsurance | $ | 7,183 |  |  | $ | 5,128 |  |  | $ | 82,167 |  |  | $ | 968,476 |  |  | $ | 5,608,368 |  |  | $ | 66,503 |  |  | $ | 6,737,825 |
Less: |  |  |  |  |  |  |  |  |  |  |  |  |
Gross RMBS subrogation (2) | — |  |  | — |  |  | (1,203 | ) |  | — |  |  | (1,860,701 | ) |  | — |  |  | (1,861,904 | )
Discount, RMBS subrogation | — |  |  | — |  |  | 4 |  |  | — |  |  | 6,827 |  |  | — |  |  | 6,831 |
Discounted RMBS subrogation, before reinsurance | — |  |  | — |  |  | (1,199 | ) |  | — |  |  | (1,853,874 | ) |  | — |  |  | (1,855,073 | )
Less: |  |  |  |  |  |  |  |  |  |  |  |  |
Gross other subrogation (3) | — |  |  | — |  |  | (10,907 | ) |  | (502,340 | ) |  | (882,664 | ) |  | (13,098 | ) |  | (1,409,009 | )
Discount, other subrogation | — |  |  | — |  |  | 2,731 |  |  | 159,858 |  |  | 102,074 |  |  | 3,353 |  |  | 268,016 |
Discounted other subrogation, before reinsurance | — |  |  | — |  |  | (8,176 | ) |  | (342,482 | ) |  | (780,590 | ) |  | (9,745 | ) |  | (1,140,993 | )
Gross claim liability, net of all subrogation and discounts, before reinsurance | $ | 7,183 |  |  | $ | 5,128 |  |  | $ | 72,792 |  |  | $ | 625,994 |  |  | $ | 2,973,904 |  |  | $ | 56,758 |  |  | $ | 3,741,759 |
Less: Unearned premium revenue | (4,411 | ) |  | (1,767 | ) |  | (48,102 | ) |  | (43,791 | ) |  | (69,434 | ) |  | (436 | ) |  | (167,941 | )
Plus: Loss expense reserves | 1,907 |  |  | 64 |  |  | 275 |  |  | 13,486 |  |  | 53,526 |  |  | — |  |  | 69,258 |
Gross loss and loss expense reserves | $ | 4,679 |  |  | $ | 3,425 |  |  | $ | 24,965 |  |  | $ | 595,689 |  |  | $ | 2,957,996 |  |  | $ | 56,322 |  |  | $ | 3,643,076 |
Reinsurance recoverable reported on Balance Sheet (4) | $ | 722 |  |  | $ | 920 |  |  | $ | 104 |  |  | $ | 40,904 |  |  | $ | (15,334 | ) |  | $ | — |  |  | $ | 27,316 |
(1) | Gross undiscounted claim liability includes unpaid claims, including accrued interest on Deferred Amounts, on policies allocated to the Segregated Account and Ambac's estimate of expected future claims.
(2) | RMBS subrogation represents Ambac’s estimate of subrogation recoveries from RMBS transaction sponsors for representation and warranty ("R&W") breaches.
(3) | Other subrogation primarily represents subrogation related to excess spread or other contractual cash flows on public finance and structured finance transactions, including RMBS.
(4) | Reinsurance recoverable reported on Balance Sheet includes reinsurance recoverables of $27,478 related to future loss and loss expenses and $(162) related to presented loss and loss expenses.
Surveillance Categories as of December 31, 2015
| I/SL |  | IA |  | II |  | III |  | IV |  | V |  | Total
Number of policies | 33 |  |  | 14 |  |  | 23 |  |  | 63 |  |  | 157 |  |  | 3 |  |  | 293 |
Remaining weighted-average contract period (in years) | 9 |  |  | 17 |  |  | 26 |  |  | 19 |  |  | 13 |  |  | 6 |  |  | 15 |
Gross insured contractual payments outstanding: |  |  |  |  |  |  |  |  |  |  |  |  |
Principal | $ | 1,830,549 |  |  | $ | 263,288 |  |  | $ | 1,912,237 |  |  | $ | 2,972,615 |  |  | $ | 8,942,730 |  |  | $ | 54,590 |  |  | $ | 15,976,009 |
Interest | 724,940 |  |  | 107,624 |  |  | 6,834,538 |  |  | 1,792,525 |  |  | 2,391,523 |  |  | 16,791 |  |  | 11,867,941 |
Total | $ | 2,555,489 |  |  | $ | 370,912 |  |  | $ | 8,746,775 |  |  | $ | 4,765,140 |  |  | $ | 11,334,253 |  |  | $ | 71,381 |  |  | $ | 27,843,950 |
Gross undiscounted claim liability (1) | $ | 6,188 |  |  | $ | 5,632 |  |  | $ | 173,930 |  |  | $ | 1,595,525 |  |  | $ | 6,339,537 |  |  | $ | 71,381 |  |  | $ | 8,192,193 |
Discount, gross claim liability | (515 | ) |  | (652 | ) |  | (96,218 | ) |  | (458,805 | ) |  | (770,694 | ) |  | (6,779 | ) |  | (1,333,663 | )
Gross claim liability before all subrogation and before reinsurance | $ | 5,673 |  |  | $ | 4,980 |  |  | $ | 77,712 |  |  | $ | 1,136,720 |  |  | $ | 5,568,843 |  |  | $ | 64,602 |  |  | $ | 6,858,530 |
Less: |  |  |  |  |  |  |  |  |  |  |  |  |
Gross RMBS subrogation (2) | — |  |  | — |  |  | — |  |  | — |  |  | (2,841,291 | ) |  | — |  |  | (2,841,291 | )
Discount, RMBS subrogation | — |  |  | — |  |  | — |  |  | — |  |  | 11,716 |  |  | — |  |  | 11,716 |
Discounted RMBS subrogation, before reinsurance | — |  |  | — |  |  | — |  |  | — |  |  | (2,829,575 | ) |  | — |  |  | (2,829,575 | )
Less: |  |  |  |  |  |  |  |  |  |  |  |  |
Gross other subrogation (3) | — |  |  | — |  |  | (12,937 | ) |  | (526,957 | ) |  | (835,078 | ) |  | (13,098 | ) |  | (1,388,070 | )
Discount, other subrogation | — |  |  | — |  |  | 3,961 |  |  | 198,643 |  |  | 127,669 |  |  | 3,978 |  |  | 334,251 |
Discounted other subrogation, before reinsurance | — |  |  | — |  |  | (8,976 | ) |  | (328,314 | ) |  | (707,409 | ) |  | (9,120 | ) |  | (1,053,819 | )
Gross claim liability, net of all subrogation and discounts, before reinsurance | $ | 5,673 |  |  | $ | 4,980 |  |  | $ | 68,736 |  |  | $ | 808,406 |  |  | $ | 2,031,859 |  |  | $ | 55,482 |  |  | $ | 2,975,136 |
Less: Unearned premium revenue | (3,360 | ) |  | (1,796 | ) |  | (48,871 | ) |  | (63,257 | ) |  | (71,848 | ) |  | (455 | ) |  | (189,587 | )
Plus: Loss expense reserves | — |  |  | 66 |  |  | 629 |  |  | 15,090 |  |  | 57,479 |  |  | — |  |  | 73,264 |
Gross loss and loss expense reserves | $ | 2,313 |  |  | $ | 3,250 |  |  | $ | 20,494 |  |  | $ | 760,239 |  |  | $ | 2,017,490 |  |  | $ | 55,027 |  |  | $ | 2,858,813 |
Reinsurance recoverable reported on Balance Sheet (4) | $ | 642 |  |  | $ | 880 |  |  | $ | 85 |  |  | $ | 59,503 |  |  | $ | (17,111 | ) |  | $ | — |  |  | $ | 43,999 |
(1) | Gross undiscounted claim liability includes unpaid claims, including accrued interest on Deferred Amounts, on policies allocated to the Segregated Account and Ambac's estimate of expected future claims.
(2) | RMBS subrogation represents Ambac’s estimate of subrogation recoveries from RMBS transaction sponsors for R&W breaches.
(3) | Other subrogation primarily represents subrogation related to excess spread or other contractual cash flows on public finance and structured finance transactions, including RMBS.
(4) | Reinsurance recoverable reported on Balance Sheet includes reinsurance recoverables of $44,059 related to future loss and loss expenses and $(60) related to presented loss and loss expenses.
Ambac records estimated subrogation recoveries for breaches of representations and warranties (R&W) by sponsors of certain RMBS transactions. For a discussion of the Random Sample approach utilized to estimate R&W subrogation recoveries, see Note 2. Basis of Presentation and Significant Accounting Policies in the Notes to Consolidated Financial Statements included Part II, Item 8 in the Company’s Annual Report on Form 10-K for the year ended December 31, 2015. From time to time R&W subrogation may include estimates of potential sponsor settlements that are currently in negotiation, but have not been subject to a sampling approach. However, such estimates are not material to Ambac’s financial results and therefore are included in the Random Sample section of this table. Ambac has recorded RMBS subrogation recoveries of $1,855,073 ( $1,827,690 net of reinsurance) and $2,829,575 ( $2,800,149 net of reinsurance) at March 31, 2016 and December 31, 2015, respectively. The balance of RMBS subrogation recoveries and the related loss reserves, using the Random Sample estimation approach, at March 31, 2016 and December 31, 2015, are as follows:
Random Sample Approach | Gross loss reserves before subrogation recoveries (1) |  | Subrogation recoveries (2)(3) |  | Gross loss reserves after subrogation recoveries
At March 31, 2016 | $ | 1,298,065 |  |  | $ | (1,855,073 | ) |  | $ | (557,008 | )
At December 31, 2015 | $ | 1,850,804 |  |  | $ | (2,829,575 | ) |  | $ | (978,771 | )
(1) | Includes unpaid RMBS claims, including accrued interest on Deferred Amounts, on policies allocated to the Segregated Account.
(2) | The amount of recorded subrogation recoveries related to each securitization is limited to ever-to-date paid and unpaid losses plus the present value of expected cash flows for each policy. To the extent losses have been paid but not yet fully recovered, the recorded amount of RMBS subrogation recoveries may exceed the sum of the unpaid claims and the present value of expected cash flows for a given policy. The net cash inflow for these policies is recorded as a “Subrogation recoverable” asset. For those transactions where the subrogation recovery is less than the sum of unpaid claims and the present value of expected cash flows, the net cash outflow for these policies is recorded as a “Loss and loss expense reserves” liability.
(3) | The sponsor’s repurchase obligation may differ depending on the terms of the particular transaction and the status of the specific loan, such as whether it is performing or has been liquidated or charged off. The estimated subrogation recovery for these transactions is based primarily on loan level data provided through trustee reports received in the normal course of our surveillance activities or provided by the sponsor. While this data may not include all the components of the sponsor’s contractual repurchase obligation we believe it is the best information available to estimate the subrogation recovery.
Below is the rollforward of RMBS subrogation, by random sample estimation approach, for the affected periods:
| Three Months Ended March 31,
| 2016 |  | 2015
Discounted RMBS subrogation (gross of reinsurance) at beginning of period | $ | 2,829,575 |  |  | $ | 2,523,540 |
Changes recognized during the period: |  |  |
Impact of sponsor actions (1) | (995,000 | ) |  | — |
All other changes (2) | 20,498 |  |  | 44,813 |
Discounted RMBS subrogation (gross of reinsurance) at end of period | $ | 1,855,073 |  |  | $ | 2,568,353 |
(1) | Sponsor actions include loan repurchases, direct payments to Ambac and other contributions.
(2) | All other changes which may impact RMBS subrogation recoveries include changes in actual or projected collateral performance, changes in the creditworthiness of a sponsor and/or the projected timing of recoveries. All other changes may also include estimates of potential sponsor settlements that may not have been subject to a sampling approach, are currently in negotiation or have been executed but the settlement amounts have not yet been received. Those that have not been subject to a sampling approach are not material to Ambac’s financial results and therefore are included in the Random Sample column of this table.
Insurance intangible asset: The insurance intangible amortization expense is included in insurance intangible amortization on the Consolidated Statements of Total Comprehensive Income. For the three months ended March 31, 2016 and 2015, the insurance intangible amortization expense was $50,890 and $37,432, respectively. As of March 31, 2016 and December 31, 2015, the gross carrying value of the insurance intangible asset was $1,613,373 and $1,626,566, respectively. Accumulated amortization of the insurance intangible asset was $463,407 and $414,454, as of March 31, 2016 and December 31, 2015, respectively, resulting in a net insurance intangible asset of $1,149,966 and $1,212,112, respectively. The estimated future amortization expense for the net insurance intangible asset is as follows:
|  | 2016 |  | 2017 |  | 2018 |  | 2019 |  | 2020 |  | Thereafter
Amortization expense |  | $ | 84,089 |  |  | $ | 99,230 |  |  | $ | 88,572 |  |  | $ | 80,088 |  |  | $ | 74,213 |  |  | $ | 723,774 |

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