Residential Mortgage Loans

Residential Mortgage Loans

A mortgage loan is a loan secured by real estate in which the borrower is obliged to make a predetermined series of payments. The mortgage gives the lender the right to foreclose if the borrower defaults. Foreclosure allows the lender to take possession of the mortgaged property and then sell it to recover the funds.

Loan-to-value Ratio

Usually, the loan amount is less than the property’s purchase price as the borrower makes a down payment. The ratio of the amount of the mortgage to the value of the property is the loan-to-value ratio. For example, if a lender buys a $500,000 property and makes a down payment of $100,000, the loan-to-value ratio will be $400,000/$500,000 = 0.8. The lower the LTV, the more the lender is protected for recovering the loaned amount.

Credit Quality of the Borrower

The two types of mortgages based on the borrower’s credit quality are prime loans and sub-prime loans. Prime (A-grade) loans take the top spot as the most desirable loans from the lender’s perspective. They are associated with low rates of delinquency and default thanks to low loan-to-value ratios, typically far less than 95%. In addition, borrowers are individuals with stable and sufficient income.

Sub-prime (B-grade) loans have higher rates of default and delinquency compared to prime loans. They are associated with loan-to-value ratios of 95% or more. Borrowers may be individuals with lower income levels and marginal/poor credit histories.

Lien Status

A first-lien mortgage is more desirable than a second-lien mortgage from the perspective of the lender. In the event of liquidation, a first-lien status would give the lender the right to submit the first claim on the proceeds of the liquidation process.

Interest Rate Determination

Fixed-rate mortgages are associated with a fixed rate of interest up to maturity – for example, 5% for 30 years.

Adjustable-rate mortgages (ARMs) are associated with a floating rate of interest. For example, the rate could be LIBOR + 100 bps. In such an arrangement, the rate could change every six months.

Under an initial period fixed rate, the initial period is fixed for some time and then adjusted.

A convertible mortgage rate is initially either a fixed or an adjustable rate, and at some point, the borrower has the option to shift to either a fixed or adjustable rate for the remainder of the mortgage’s life.

Amortization Schedule

Residential mortgages are amortizing loans that have a gradual reduction of the borrowed amount over time. Most residential mortgages are fully amortizing loans. The payment is usually constant over the life of the mortgage, but the amount of principal paid in each subsequent payment keeps on increasing while the amount of interest decreases. Here is the amortization schedule on a 10-year $250,000 loan at a 4.5% interest:

$$
\begin{array}{l|c|c|c|c}
\textbf{Month} & \textbf{Month 1} & \textbf{Month 2} & \textbf{Month 3} & \textbf{} \\
\hline
\text{Total Payment} & \text{\$2,590.96} & \text{\$2,590.96} & \text{\$2,590.96} & \text{Equal} \\
\text{Principal} & \text{\$1,653.46} & \text{\$1,663.18} & \text{\$1,672.89} & \text{Increasing} \\
\text{Interest} & \text{\$937.50} & \text{\$927.78} & \text{\$918.07} & \text{Decreasing} \\
\text{Loan Balance} & \text{\$248,346.54} & \text{\$246,693.08} & \text{\$245,039.62} & \text{Decreasing} \\
\end{array}
$$

Note 1: Interest payable is based on the amount of outstanding loan. Therefore, we will always see an increase in the principal paid on each payment.

Note 2: The loan balance only decreases by the principal amount on each payment. This is because the interest payable portion of the payment is remitted to the financial institution issuing the loan.

In a partially amortizing loan, the last payment is a “balloon” payment. If no scheduled principal repayment is specified for several years, the loan is known as an interest-only mortgage.

Prepayment Options and Penalties

Prepayments are more likely to occur following a drop in interest rates. In such circumstances, the borrower may decide to refinance their existing mortgages at the lower rates.

Mortgage prepayments take one of two forms:

  • increasing the amount/frequency of payments; or
  • repaying/refinancing the entire outstanding balance.

The mortgage may stipulate some sort of monetary penalty when a borrower prepays within a certain time. These are referred to as prepayment penalty mortgages.

Foreclosure

When the borrower fails to make contractual loan payments, the lender can repossess the property and sell it. Sometimes, however, the proceeds could be insufficient. Under a recourse loan, the lender can go after other assets of the borrower that were not used as loan collateral. In a non-recourse loan, the lender could not have such a claim and can only sell the borrower’s mortgaged property to recover the outstanding mortgage balance.

Sometimes, the value of the property declines below the outstanding debt amount. This is called an “underwater mortgage.” When mortgages are non-recourse, the borrower may have the incentive to default, which is a “strategic default.” This is one of the factors that caused the United States sub-prime mortgage crisis of 2007-2009. The risk spread into mutual funds, pension funds, and corporations who owned derivatives on these mortgages, causing a global financial crisis.

Question

Which of the following contractual provisions would protect a lender from a “strategic default” in the case of a real estate market downturn?

  1. Recourse option.
  2. Early repayment option.
  3. Adjustable-rate mortgage.

Solution

The correct answer is A.

Under a recourse loan, the lender can go after other assets of the borrower that were not used as loan collateral. This would make the borrower less inclined to do a “strategic default,” unless they do not have any other assets.

Shop CFA® Exam Prep

Offered by AnalystPrep

Featured Shop FRM® Exam Prep Learn with Us

    Subscribe to our newsletter and keep up with the latest and greatest tips for success
    Shop Actuarial Exams Prep Shop Graduate Admission Exam Prep


    Sergio Torrico
    Sergio Torrico
    2021-07-23
    Excelente para el FRM 2 Escribo esta revisión en español para los hispanohablantes, soy de Bolivia, y utilicé AnalystPrep para dudas y consultas sobre mi preparación para el FRM nivel 2 (lo tomé una sola vez y aprobé muy bien), siempre tuve un soporte claro, directo y rápido, el material sale rápido cuando hay cambios en el temario de GARP, y los ejercicios y exámenes son muy útiles para practicar.
    diana
    diana
    2021-07-17
    So helpful. I have been using the videos to prepare for the CFA Level II exam. The videos signpost the reading contents, explain the concepts and provide additional context for specific concepts. The fun light-hearted analogies are also a welcome break to some very dry content. I usually watch the videos before going into more in-depth reading and they are a good way to avoid being overwhelmed by the sheer volume of content when you look at the readings.
    Kriti Dhawan
    Kriti Dhawan
    2021-07-16
    A great curriculum provider. James sir explains the concept so well that rather than memorising it, you tend to intuitively understand and absorb them. Thank you ! Grateful I saw this at the right time for my CFA prep.
    nikhil kumar
    nikhil kumar
    2021-06-28
    Very well explained and gives a great insight about topics in a very short time. Glad to have found Professor Forjan's lectures.
    Marwan
    Marwan
    2021-06-22
    Great support throughout the course by the team, did not feel neglected
    Benjamin anonymous
    Benjamin anonymous
    2021-05-10
    I loved using AnalystPrep for FRM. QBank is huge, videos are great. Would recommend to a friend
    Daniel Glyn
    Daniel Glyn
    2021-03-24
    I have finished my FRM1 thanks to AnalystPrep. And now using AnalystPrep for my FRM2 preparation. Professor Forjan is brilliant. He gives such good explanations and analogies. And more than anything makes learning fun. A big thank you to Analystprep and Professor Forjan. 5 stars all the way!
    michael walshe
    michael walshe
    2021-03-18
    Professor James' videos are excellent for understanding the underlying theories behind financial engineering / financial analysis. The AnalystPrep videos were better than any of the others that I searched through on YouTube for providing a clear explanation of some concepts, such as Portfolio theory, CAPM, and Arbitrage Pricing theory. Watching these cleared up many of the unclarities I had in my head. Highly recommended.