What it means
A mortgage pool sends scheduled principal and interest to investors, but borrowers may also pay more principal than required, perhaps after refinancing or selling their homes. Those extra payments shorten the pool's life and change future interest cash flows.
CPR expresses an annualised pace conditional on the principal still outstanding, so an 8% CPR is a modelling assumption about the remaining balance, not a guarantee that exactly 8% of all original loans will close during the next year. Market participants also use single monthly mortality, or SMM, to describe the unscheduled share for one month, and a standard relation is CPR = 1 - (1 - SMM)^12.
The compounding conversion assumes the selected monthly rate persists for comparison, and a Federal Housing Finance Agency working paper uses the same relation to annualise a monthly prepayment measure. Specific pool reporting conventions can vary by deal, so inspect the transaction's method and cash-flow definitions.
For example, a monthly SMM of 1% converts to about 11.36% CPR, not 12% exactly, because compounding reflects that each month's unscheduled payment is measured against a smaller remaining balance. Falling mortgage rates can encourage borrowers to refinance, which may raise prepayments and return investors' principal earlier than planned, so the investor then may have to reinvest at a lower prevailing rate.
Rising rates can slow refinancing, extending a pool's effective life, so investors might be locked into an older lower coupon for longer while new bonds offer higher yields, which means both faster and slower prepayments can hurt in different market conditions. Borrower credit, loan age, home sales, servicing practices and contractual terms also affect prepayment, so a single rate-shock forecast cannot capture every household decision and historical CPR from one pool may not transfer cleanly to another.
Prepayment assumptions affect valuation: a mortgage security bought above face value may suffer when high-coupon loans pay back quickly because the investor recovers principal sooner and loses expected premium-related yield, while discount-priced securities can respond differently. CPR should be paired with a time profile, since a mortgage pool might start with slow repayments and speed up after borrowers settle in or refinancing becomes practical, and a flat annual CPR is a simplification that can miss these patterns.
Deal reports sometimes quote realised CPR over a prior period, while analysts forecast a future CPR, so label observed and projected figures separately, because a realised one-month spike does not establish that the pace will continue. Portfolio managers stress multiple CPR paths rather than one point estimate, comparing expected cash flow, weighted average life and price sensitivity under faster and slower repayment.
This reveals whether a return depends heavily on one borrower-behaviour assumption. The practical reading is to ask which pool, which measurement period, whether scheduled principal was removed, and whether the number is realised or forecast.
Without those facts, an annualised percentage can be misleading.
In practice
Real-world examples.
Example
A pool has a 1% SMM in one month. The standard conversion gives about 11.36% annualized CPR, assuming that monthly pace for comparison rather than adding 1% twelve times.
Example
Mortgage rates fall and borrowers refinance. A bondholder receives principal sooner and must find a new investment, potentially at lower yields.
Example
Two mortgage pools each report 8% CPR, but one rate is a last-month annualization and the other a forward model. An analyst labels them before comparing projected cash flow.
Formula
Calculation
CPR = 1 - (1 - SMM)^12. If monthly unscheduled prepayment is 1% of the relevant remaining principal after scheduled payment, CPR = 1 - 0.99^12, or about 11.36%. A transaction's SMM definition and inclusion of repurchases should be checked in its own report.
To see what a monthly rate means in dollars, suppose a pool has $200 million of principal outstanding after scheduled payments in a month. At an SMM of 1%, unscheduled prepayments are 1% x $200 million = $2 million for that month. Working backwards, a 12% CPR implies SMM = 1 - (1 - 0.12)^(1/12), which is about 1.06% a month.Case study
Seen in the real world.
Fictional case: A credit fund considers a mortgage-backed security trading above face value. Its base model assumes 7% CPR and attractive income. The analyst runs 4%, 10% and 15% paths, examining cash returned, average life and reinvestment choices. At the faster rates, premium-priced principal comes back earlier and the projected return falls. The fund reviews the pool's age and rate incentives rather than treating last month's reported CPR as a permanent forecast.
Watch out
Common mistakes.
- Multiplying SMM by 12 and calling the result exact annual CPR.
- Using original pool principal as the denominator after scheduled amortization and prior prepayments.
- Treating a recent realised CPR as a guaranteed future cash-flow path.
Questions
People also ask.
Is a higher CPR always good?
No. Faster return of principal can reduce interest income and create reinvestment risk, particularly for premium-priced securities.
How does CPR relate to SMM?
CPR annualizes a monthly unscheduled prepayment rate using a compounding convention.
Does CPR include scheduled principal?
It aims to measure extra principal; calculation methods remove scheduled principal from the relevant base.
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