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Given a single monthly mortality rate (SMM) of 0.45%, a mortgage pool with a $200,000 principal balance outstanding at the beginning of the 26th month, and a scheduled monthly principal payment of $60.00 for the 26th month, the estimated prepayment is:
A)
$899.73.
B)
$450.00.
C)
$426.38.



Prepayment = (.0045)($200,000 - $60.00) = $899.73.

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The SMM formula is: SMM = 1 – (1 – CPR)1/12. Calculate the single monthly mortality rate (SMM) for month 6, 100 PSA:
A)
0.000837.
B)
0.001006.
C)
0.001259.



CPR = 0.2% * 6 = 0.012
SMM = 1-(1-0.012)1/12 = 0.001006

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Suppose that the single-monthly mortality rate (SMM) is equal to 0.004. The mortgage balance for a certain month is $100 million, and the scheduled principal payment for the same month is $2.5 million. What is the assumed prepayment amount for this month?
A)
$960,000.
B)
$460,000.
C)
$390,000.


The prepayment amount is computed as follows:
Prepayment amount = SMM × (beginning mortgage balance for a month − scheduled principal payment for the month) = 0.004 × ($100 million − $2.5 million) = $390,000.

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Suppose that the single-monthly mortality rate (SMM) is equal to 0.003. The mortgage balance for a certain month is $250 million, and the scheduled principal payment for the same month is $3 million. What is the assumed prepayment amount for this month?
A)
$356,000.
B)
$672,000.
C)
$741,000.


The prepayment amount is computed as follows:
Prepayment amount = SMM x (beginning mortgage balance for a month - scheduled principal payment for the month) = 0.003 × ($250 million − $3 million) = $741,000.

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Paul Advani, an unemployed telecommunications analyst, is scheduled to interview tomorrow with Manish Preeh, managing partner of the mortgage-banking division of Robust Investors. Since Advani has not worked in mortgage banking and his knowledge of the field is somewhat rusty, he asks to borrow a friend’s Level II CFA Study Notes so he can prepare for the interview.

After a brief introduction and a discussion of Advani’s resume, Preeh tells Advani he is concerned about the candidate’s familiarity with the industry. Preeh asks Advani a series of questions to test his knowledge.

Preeh begins with a question about prepayment rates and benchmarks. He asks Advani to name some conventions used as benchmarks for prepayment rates. Advani comes up with four benchmarks:
  • Conditional prepayment rates
  • Single monthly mortality (SMM) rates
  • Nonconforming mortgage rates
  • Public Securities Association (PSA) prepayment benchmarks

Then Preeh asks Advani to describe the use of excess servicing spreads as internal credit enhancements.

Preeh’s next question requires Advani to discuss reasons for using the stated maturity of a mortgage passthrough security versus using the average life measure. Advani responds that the security’s maturity is less valuable to bond analysis than is the average life measure.

Then Preeh turns the questions to Advani’s product knowledge. Preeh gives Advani four characteristics that allegedly apply to stripped mortgage-backed securities (MBS), then asks him which one of the characteristics is accurate. The characteristics are as follows:
  • Principal and interest are not allocated on a pro-rata basis.
  • Owners of these securities benefit from quick prepayments.
  • They pay significantly lower yields than their "whole" counterparts.
  • They are less volatile than the passthrough from which they were stripped.

Preeh proceeds to ask Advani how planned amortization class (PAC) bonds are protected against prepayment risk to create products that provide better asset and liability matching for institutional investors.
The interview ends with a question using the following data:
  • The single-monthly mortality rate (SMM) is equal to 0.003.
  • The mortgage balance for March is $250 million.
  • The scheduled principal payment is $3 million in March, and $3 million in April.
Which of the following characteristics best describes stripped MBS?
A)
Owners of these securities benefit from quick prepayments.
B)
Principal and interest are not allocated on a pro-rata basis.
C)
They are less volatile than the passthrough from which they were stripped.



Stripped MBS differ from conventional MBS in that principal and interest are not allocated on a pro-rata basis, because they come in two flavors, principal-only (PO) and interest-only (IO). PO and IO strips have different payment policies. Investors who buy interest-only strips want slow prepayments, as fast prepayments reduce the value of the cash flows. PO and IO strips are more volatile than the original security with both principal and interest payments. (Study Session 15, LOS 51.j)

Which of the following statements regarding excess servicing spreads is most accurate? Excess serving spread accounts involve the allocation of:
A)
expenses into accounts for senior and subordinate tranches.
B)
the servicing fee into a separate reserve account.
C)
surplus cash into a separate reserve account.



Excess cash is paid into the excess servicing spread account in order to cover possible future losses. Servicing fees pay for services, not reserves against default risk. Excess servicing spreads have nothing to do with tranche structures. (Study Session 15, LOS 52.d)

The estimated April prepayment is closest to:
A)
$732,000.
B)
$741,000.
C)
$729,777.



The prepayment amount is computed as follows:
Prepayment amount = SMM × (beginning mortgage balance for a month − scheduled principal payment for the month) = For March, the prepayment is 0.003 × ($250 million − $3 million) = $741,000.
For April, the starting mortgage balance is $250 million − $3 million − $741,000 = $246.259 million.
The prepayment is 0.003 × ($246.259 million − $3 million) = $729,777.

(Study Session 15, LOS 51.c)


Which of the following is least likely used as a benchmark for prepayment rates?
A)
SMM rates.
B)
Nonconforming mortgage rates.
C)
Conditional prepayment rates.



Two industry conventions have been adopted as benchmarks for prepayment rates:

  • the conditional prepayment rate, which is used to compute SMM.

  • the PSA prepayment benchmark.

(Study Session 15, LOS 51.d)


Which of the following responses to Preeh’s question about PAC bonds is most accurate? They:
A)
structure the PAC tranche so it has more contraction risk but less interest-rate risk than the support tranches.
B)
gain prepayment risk protection as their par value falls relative to that of the support tranche.
C)
accrue the interest for one tranche and redistribute it to the support tranches.



The PAC tranche has significant protection against prepayment risk at the expense of the support or companion tranches. The more the support tranche’s par value rises relative to that of the PAC bond, the better the protection against prepayment risk. PAC tranches are designed to deal with prepayment risk, and as such pass the contraction or extension risk onto the support tranches. PAC tranches can siphon interest slated for the support tranches, but do not redistribute it. In fact, PAC tranches are designed to provide a minimum guaranteed principal payment by collecting interest targeted for a support tranche when prepayments are low. (Study Session 15, LOS 51.h)

Advani’s assertion that the maturity is a less-useful analytical tool than the average life measure of a mortgage passthrough security is:
A)
incorrect because the average life measure does not take interest-rate risk into account.
B)
correct because the maturity does not take into account the assumed prepayment rate.
C)
correct because the investor may not know the maturity, but can calculate the average life measure.



The stated maturity of a mortgage pass-through security is unlikely to equal its true life because of prepayments. Average life is used because it represents the average time to receipt of both scheduled principal payments and expected prepayments. The average life measure attempts to reflect changes in prepayment rates, and as such takes into account likely changes in interest rates or the economic climate. Because the average life measure is a better analytical tool than the stated maturity, the answer starting with “incorrect” is wrong. (Study Session 15, LOS 51.b)

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Which of the following is the best explanation of a single-monthly mortality rate? The single-monthly mortality rate is the:
A)
assumed monthly prepayment rate for a pool.
B)
assumed monthly prepayment rate for each individual loan.
C)
realized monthly prepayment rate for a pool.



The single-monthly mortality rate is equal to the conditional prepayment rate expressed on a monthly basis.

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Which of the following is the best explanation of a single-monthly mortality rate? The single-monthly mortality rate is the:
A)
assumed monthly prepayment rate for a pool.
B)
assumed monthly prepayment rate for each individual loan.
C)
realized monthly prepayment rate for a pool.



The single-monthly mortality rate is equal to the conditional prepayment rate expressed on a monthly basis.

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What is the relation between the PSA prepayment benchmark and the conditional prepayment rate (CPR)? The PSA prepayment benchmark is:
A)
expressed as an annual series of CPR's.
B)
expressed as a monthly series of CPR's.
C)
not related to the CPR.



The PSA prepayment benchmark is expressed as a monthly series of CPR's that increase over the life of the liabilities.

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Which of the following statements regarding a conditional prepayment rate (CPR) is CORRECT? A CPR is the:
A)
annual prepayment expressed as a percentage of the amount at the beginning of the period.
B)
annual prepayment expressed as a percentage of the amount at the end of the period.
C)
monthly prepayment expressed as a percentage of the amount at the beginning of the period.



The CPR is the annual rate at which a mortgage pool balance is assumed to be prepaid during the life of the pool. The CPR for any given mortgage pool depends on characteristics such as past prepayment rates, along with the current and expected economic state of affairs. To convert the CPR into a monthly rate called the single-monthly mortality rate (SMM), the following formula applies: SMM = 1 – (1 – CPR)1/12.

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Regarding prepayment rates, which of the following statements is least accurate?
A)
The conditional prepayment rate (CPR) is the assumed rate at which the mortgage pool balance is prepaid.
B)
The conditional prepayment rate (CPR) is the actual rate at which the mortgage pool balance is prepaid.
C)
If the conditional prepayment rate (CPR) is converted into a monthly rate, it is called the single monthly mortality rate (SMM).



CPR is the assumed rate at which the mortgage pool balance is prepaid, not the actual rate at which it is prepaid.

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