金融资产证券化外文文献(3)

For some types of assets such as auto loans or credit card receivables this prepayment is unusual. However, leasing-like assets do face the risk of interest-rate based prepayment. Since prepayment events are non-predictable they cannot be taken explicitly into account in a deterministic off-line optimization model. Implicitly, it is assumed that all assets have the same probability of prepayment. In all cases where the risk of early

paybacks is particularly high, a re-optimization of the whole ABS process at a later point in time is strongly recommended.

Concerning the time line, in our case the assets are handed over by the originator and purchased by the SPV starting at a closing date (initial date for the loan) and on a Fixed basis thereafter during the so called revolving period.. Each date at which a purchase takes place is called settlement date. The assets handed over by the originator at the closing date and thereafter at the settlement dates are collectively referred to as the initial and subsequent portfolios, respectively. Issued notes yield an interest payable on periodic bases (usually quarterly) and are redeemed at different final maturity dates. For this reason, notes are divided into tranches characterized by different deadlines.

The reimbursement to the holders of the principals of a tranche of notes corresponds to a reimbursement installment of the main outstanding principal. Hence, the outline of the outstanding principal of the loan has as many installments (steps)as the number of notes with different maturity issued on the market.

The main source of payment of interest and principal on notes are recoveries arising out of the assets. In particular, the cash-flow deriving from assets is used by the SPV to satisfy its obligations to the holders of notes. Naturally, the outstanding principal of an asset

depends on the rule used for amortization.

As mentioned above, two different rules mainly appear in practice, In the first rule, usually known as French amortization, the general periodic installment (sum of periodic interests and principal installment) is constant over time. In this case the customers who hold assets (mortgage or lease contracts) have to pay the same geometrically over time .In this case the customers who hold assets (mortgage or lease contracts) have to pay the same constant amount at each deadline. Since the principal installments increase geometrically over time (see figure 2(b) ), the outstanding principal can be approximated by a concave piece-wise linear function.

Source: D. Bertsimas and R. Demir. Securitization of Financial Assets: Approximation in Theory and Practice. Computational Optimization and Applications, 2008(29), P147-171

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