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Conditional Prepayment Rate (CPR): Definition and Calculation

What Is a Conditional Prepayment Rate (CPR)?

A conditional prepayment rate (CPR) is an estimate of the percentage of a loan pool's principal that is likely to be paid off prematurely. The estimate is calculated based on a number of factors, such as historical prepayment rates for previous loans similar to the ones in the pool and future economic outlooks. These calculations are important for investors in evaluating assets like mortgage-backed securities or other 澳洲幸运5开奖号码历史查询:securitized bundles of loans.

Key Takeaways

  • A conditional prepayment rate (CPR) estimates the likely prepayment rate for a pool of loans, such as a mortgage-backed security.
  • The higher the CPR, the more prepayments are expected and the less interest the investor is likely to receive in total. This is called prepayment risk.
  • CPR is expressed as an annual percentage rate, while the single monthly mortality (SMM) rate measures prepayment risk on a month-to-month basis.

How to Calculate Conditional Prepayment Rat꧂es ⛦(CPRs)

The CPR can be used for a variety of loans. Pools of mortgages, student loans, and 澳洲幸运5开奖号码历史查询:pass-through securities all use the CPR as estimates of prepayment. Typically, the CPR is expressed as an annual percen☂tage.

For example, if a pool of mortgages has a CPR of 8%, that suggests that 8% of the pool's outstanding principal will be paid off prematurely in a given year.

The CPR helps investors anticipate 澳洲幸运5开奖号码历史查询:prepayment risk, which is the risk involved with 𓃲the premature return of principal on an income-produ💦cing security.

In simple terms, when a borrower pays a portion of their loan's principal off early, that portion 澳洲幸运5开奖号码历史查询:stops incurring interest and investors in that debt will no longer receive interest payments from it. The risk of prepayment is most prevalent in fixed-income securities such as 澳洲幸运5开奖号码历史查询:callable bonds and 🅠mortgage-backed securities (MBSs). 

What Does the CPR Tell You?

The higher the CPR, the faster the associated deb♏tors are likely to prepa🌞y on their loans.

A high prepayment rate means the debts associated with the security are being paid back at a faster rate than the required minimum. While this indicates that the investment is lower risk, since the amount that's owed is being paid back, it also means that the overall return on the investment is likely to be lower.

Example of How to Use the CPR

The CꦇPR can help investors gauge the likely return on an investment and their prepayment risk, especially in changing economic conditions.

For example, in a time of declining interest rates, homeowners often prepay their mortgages to refinance them at a lower rate. When that occurs, the mortgage-backed security that their mortgage is packaged into may be paid back sooner than expected, with the proceeds released back to the investor. The investor then needs to choose a new security to invest in, which is likely to have a lower rate of return since interest rates overall have dropped since their original investment.

Further, debt investments associated with a higher-risk tranche often have a longer time to maturity 🎃than those with a lower-risk tranche and ca🎐rry less risk of being paid off early.

Note

There is no prepayment risk with noncallable 澳洲幸运5开奖号码历史查询:corporate bonds and United States 澳洲幸运5开奖号码历史查询:Treasury bonds (T-bonds), which do not allow for it. Additionally, 澳洲幸运5开奖号码历史查询:collateralized mortgage obligati🐼ons (CMOs) and 澳洲幸运5开奖号﷽码历史查询:collateralized debt obligations (CDOs), issued through invest✱ment banks, may be structured in such a way as to lower the risk of prepayment.

Single Monthly Mortality Rate (SMM) and CPR

In addition to the CPR, which expresses prepayment risk in annual terms, investors can look at an investment's 澳洲幸运5开奖号码历史查询:single monthly mortality (SMM) rate. The SMM is determined by taking the total debt paymen𓆏t that's owed and com🅰paring it against the actual amounts received for a particular month. It can be converted into a CPR and vice versa.

Suppose the total debt outstanding on a mortgage-backed security is $1 million and the payment owed for the month is $100ౠ,000 across all of the assܫociated mortgages. But when the payments are received for that month, the actual total is $110,000. That translates into an SMM of 1% (0.01 x $1,000,000).

What Is Prepayment Risk?

Prepayment risk is the risk that comes from the early return of principal on a security that produces income. When a borrower pays part of their loan's principal off earlier than expected, that part of the loan no longer earns interest. Therefore investors in that particular debt will ultimately earn less than they were expecting over the life of the loan.

What Is the Purpose of the Conditional Prepayment Rate (CPR)?

A CPR helps market participaജnts account for prepayment risk and then make investment deไcisions accordingly. When the prepayment risk for a security is high, that means debt is being paid back faster than required, and the overall return on the investment is likely lower.

What Investments Have No Prepayment Risk?

Certain types of bonds have no prepayment risk, s💖pecifi𝓡cally noncallable corporate bonds and U.S. Treasury bonds (T-bonds).

The Bottom Line 

A conditional prepayment r𒐪ate (CPR) estimates the likely rate of prepayment for a pool of loans, such as a mortgage-backed security or a callable bond. The higher the CPR, the more prepayments a♔re expected and the less interest the investor is likely to receive overall.  

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