Mortgage-Backed Security (MBS) Instrument and Market Features

Fixed Income

Time Tranching

Learning Outcome Statement:

define prepayment risk and describe time tranching structures in securitizations and their purpose

Summary:

Time tranching in securitizations is a method used to manage prepayment risk by creating bond classes with different expected maturities. This approach helps distribute prepayment risk among various tranches, allowing investors to choose securities that align with their risk tolerance and investment timeline. Prepayment risk includes both contraction and extension risks, which are influenced by changes in interest rates and affect the timing and amount of cash flows from mortgage-backed securities (MBS).

Key Concepts:

Prepayment Risk

Prepayment risk is the risk associated with the early repayment of principal by borrowers, which can alter the cash flows expected from an MBS. It includes contraction risk, where prepayments increase when interest rates fall, and extension risk, where prepayments decrease when interest rates rise.

Time Tranching

Time tranching is a structuring technique in securitizations that creates multiple tranches with different expected maturities. This method helps mitigate prepayment risk by allowing the redistribution of these risks among different classes of bonds, each tailored to specific investor needs regarding cash flow timing.

Contraction Risk

Contraction risk occurs when the actual prepayments exceed the anticipated prepayments due to falling interest rates, leading to a shorter than expected life for the MBS. This forces investors to reinvest the returned principal at potentially lower interest rates.

Extension Risk

Extension risk arises when actual prepayments are less than expected due to rising interest rates, extending the life of the MBS beyond expectations. This results in receiving payments over a longer period at a time when newer investments might offer higher returns.

Mortgage Loans and Their Characteristic Features

Learning Outcome Statement:

describe fundamental features of residential mortgage loans that are securitized

Summary:

This LOS covers the essential characteristics of residential mortgage loans that are securitized, focusing on their structure, risks, and the impact of borrower and lender rights. It explains the concepts of agency and non-agency RMBS, mortgage contingency features like prepayment options, and the implications of recourse and non-recourse loans.

Key Concepts:

Mortgage Loans

Mortgage loans are secured by real estate property and require the borrower to make scheduled payments. The lender has a first lien on the property, which can be foreclosed upon default to recover the loan amount.

Loan-to-Value Ratio (LTV)

LTV is the ratio of the mortgage amount to the property's value. It is a critical measure used by lenders to assess the risk of the loan, with lower LTVs indicating less risk and higher borrower equity.

Debt-to-Income Ratio (DTI)

DTI measures a borrower's monthly debt payments against their pre-tax gross income. It helps lenders evaluate a borrower's ability to manage and repay debts. A lower DTI indicates a better balance between debt and income.

Agency and Non-Agency RMBS

Agency RMBS are backed by government or quasi-government entities and carry guarantees for timely payment. Non-agency RMBS are issued by private entities without government backing, often using credit enhancements like subordination.

Mortgage Contingency Features

These features include options for borrowers to prepay the loan, which introduces prepayment risk for lenders. Lenders may use prepayment penalties as a risk mitigation strategy.

Recourse vs. Non-Recourse Loans

Recourse loans allow lenders to claim against borrowers for any shortfall after foreclosure, while non-recourse loans limit recovery to the property's value only. This affects the default risk and financial stability of the mortgage.

Formulas:

Loan-to-Value Ratio (LTV)

LTV=Loan AmountHouse PriceLTV = \frac{\text{Loan Amount}}{\text{House Price}}

Calculates the percentage of the property's value that is financed by the mortgage.

Variables:
LoanAmountLoan Amount:
The principal amount of the loan taken out to purchase the property.
HousePriceHouse Price:
The total value or purchase price of the property.
Units: Percentage (%)

Debt-to-Income Ratio (DTI)

DTI=Monthly Debt PaymentMonthly Pre-tax Gross IncomeDTI = \frac{\text{Monthly Debt Payment}}{\text{Monthly Pre-tax Gross Income}}

Measures the proportion of gross income that goes towards debt repayment, indicating the borrower's ability to manage and repay debts.

Variables:
MonthlyDebtPaymentMonthly Debt Payment:
The total monthly payment the borrower must make towards the loan.
MonthlyPretaxGrossIncomeMonthly Pre-tax Gross Income:
The borrower's total monthly income before taxes.
Units: Percentage (%)

Residential Mortgage-Backed Securities (RMBS)

Learning Outcome Statement:

describe types and characteristics of residential mortgage-backed securities, including mortgage pass-through securities and collateralized mortgage obligations, and explain the cash flows and risks for each type

Summary:

This LOS covers the types and characteristics of residential mortgage-backed securities (RMBS), focusing on mortgage pass-through securities and collateralized mortgage obligations (CMOs). It explains how these securities are structured, their cash flows, and associated risks, particularly prepayment and default risks.

Key Concepts:

Mortgage Pass-Through Securities

These are securities created by pooling mortgages and selling the cash flows from these mortgages to investors. The cash flows include principal, interest, and prepayments, which are passed through to the security holders after deducting administrative and servicing fees.

Collateralized Mortgage Obligations (CMOs)

CMOs are structured to redistribute the cash flows from mortgage pass-through securities or multiple pools of loans to different bond classes or tranches. This structure aims to create securities with varying exposures to prepayment risk, catering to different investor needs.

Sequential-Pay CMO

In this CMO structure, tranches are retired sequentially, meaning that principal payments are directed to the first tranche until it is fully paid before moving to the next tranche. This structure helps manage extension risk for earlier tranches and contraction risk for later tranches.

Z-Tranches

These tranches do not receive interest payments until a preset date, at which point both principal and accrued interest payments start. This structure benefits other tranches by freeing up cash flows and protects Z-tranche holders from reinvestment risk when market yields decline.

Formulas:

Weighted Average Coupon Rate (WAC)

WAC=(ikCBkCB)WAC = \sum \left( i_k \frac{CB_k}{\sum CB} \right)

Calculates the average interest rate for a pool of mortgages, weighted by the current balance of each mortgage.

Variables:
iki_k:
interest rate of mortgage k
CBkCB_k:
current balance of mortgage k
CB\sum CB:
total current balance of all mortgages in the pool
Units: percentage

Weighted Average Maturity (WAM)

WAM=(MMkCBkCB)WAM = \sum \left( MM_k \frac{CB_k}{\sum CB} \right)

Calculates the average remaining maturity for a pool of mortgages, weighted by the current balance of each mortgage.

Variables:
MMkMM_k:
months to maturity of mortgage k
CBkCB_k:
current balance of mortgage k
CB\sum CB:
total current balance of all mortgages in the pool
Units: months

Commercial Mortgage-Backed Securities (CMBS)

Learning Outcome Statement:

describe characteristics and risks of commercial mortgage-backed securities

Summary:

Commercial Mortgage-Backed Securities (CMBS) are financial instruments backed by a pool of commercial mortgages on income-producing properties. These securities are structured to provide investors with call protection and often include balloon maturity provisions. CMBS are subject to specific risks such as default risk, prepayment risk, and extension risk, which are influenced by the concentration of the underlying mortgages and the characteristics of the commercial properties.

Key Concepts:

CMBS Structure

CMBS are structured with features like call protection and balloon maturity provisions. Call protection prevents early prepayments, making CMBS trade more like corporate bonds. Balloon maturity involves large final payments at the loan's maturity, adding complexity to the repayment structure.

CMBS Risks

CMBS face several risks including default risk, which is heightened due to the potential concentration of loans within the pool. Prepayment risk is generally low due to call protection, but extension risk can be high, especially if balloon payments are not made and the loan term is extended.

Debt Service Coverage Ratio (DSC)

DSC is a key metric in commercial real estate lending, calculated as the net operating income divided by the debt service. It indicates whether the income generated by the property is sufficient to cover the debt payments.

Formulas:

Weighted Average Coupon (WAC)

WAC=i=1nik(CBkCB)WAC = \sum_{i=1}^{n} i_k \left(\frac{CB_k}{\sum CB}\right)

WAC is calculated by weighting the mortgage rate of each mortgage by the percentage of the outstanding mortgage balance relative to the total outstanding mortgage balance.

Variables:
iki_k:
interest rate of the k-th mortgage
CBkCB_k:
current balance of the k-th mortgage
CB\sum CB:
total current balance of all mortgages
Units: percentage

Debt Service Coverage Ratio (DSC)

DSC=Net Operating IncomeDebt ServiceDSC = \frac{\text{Net Operating Income}}{\text{Debt Service}}

DSC ratio indicates the sufficiency of property-generated cash flows to cover debt payments.

Variables:
NetOperatingIncomeNet Operating Income:
income from the property minus operating expenses and replacement reserves
DebtServiceDebt Service:
annual total of interest and principal repayments
Units: ratio