PSA Prepayment Benchmark

It assumes the following prepayment rates for a 30-year mortgage.

The first month prepayments = 1/30th of 6% (0.2%), then prepayments rise at a linear rate for 30 months. In the 30th month the prepayment rate reaches 6%. After that it maintains a 6% CPR for the remaining life of the mortgage. This benchmark is referred to as 100% PSA.

“100 PSA”: investor expectations that mortgage principal repayments in a security pool will all (100%) follow the PSA Benchmark.

The prepayment speeds can be made slow or fast by altering the percentage.  If a mortgage pool is 50 PSA, then half of the mortgage prepayments are expected to follow the PSA Benchmark, i.e., 0.1% prepayment in the first month that will linearly increase to 3% in the first 30 months after which it will remain constant at 3%. 150 PSA means 1.5 times the speed of PSA benchmark (i.e., based on 9% - 6% * 1.5).

The following chart illustrates the PSA for 50 PSA, 100 PSA, and 150 PSA.

Calculating SMM and CPR using PSA

PSA benchmark can be used to calculate SMM and CPR. The following examples illustrates this.

Example 1

Using the PSA benchmark, CPR = 6% * t/30

For month 10,

CPR = 6% * 10/30 = 2%

SMM = 1 – (1 – 2%)^(1/12) =  0.17%

Example 2

Using 150 PSA, CPR = 9% * t/30

For month 5,

CPR = 9% * 5/30 = 1.5%

SMM = 1 – (1 – 1.5%)^(1/12) =  0.126%