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Weighted average maturity is a crucial concept in portfolio management that helps investors understand the overall risk and return of their investments.
It's calculated by multiplying the duration of each bond by its market value and then adding up the results.
The weighted average maturity is a key indicator of a portfolio's overall liquidity and risk.
A higher weighted average maturity typically indicates a higher risk, as longer-term bonds are more sensitive to interest rate changes.
Investors use weighted average maturity to assess the potential impact of interest rate changes on their portfolio.
It's a valuable tool for making informed investment decisions and managing risk.
Broaden your view: Risk-weighted Asset
What Is Weighted Average Maturity?
Weighted average maturity is a calculation that takes into account the time it will take to receive cash flows from investments. It's a key concept in understanding the liquidity of investments, especially for investors who need to access their money quickly.
The weighted average maturity is calculated by multiplying the time to receive each cash flow by its corresponding weight and then adding them together. Weights are typically based on the size of each cash flow.
Additional reading: Time Weighted Rate
A higher weighted average maturity indicates that an investment has a longer time to maturity, which can be both good and bad. It's good if you're saving for a long-term goal, but bad if you need access to your money soon.
The weighted average maturity of a portfolio can help investors make informed decisions about their investments, such as whether to hold or sell. For example, a portfolio with a weighted average maturity of 5 years might be more suitable for long-term investors than one with a maturity of 1 year.
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Calculating WAM
Calculating WAM involves multiplying the percentage of each bond in the portfolio by the years until maturity. This gives you a weighted value for each bond.
To calculate WAM, you can use the formula: (percentage X years until maturity) for each bond. For example, if Bond A is 16.7% of the portfolio and matures in 10 years, the calculation would be (16.7% X 10 years).
You can add up these weighted values for each bond to get the total weighted average maturity. For instance, using the example from the article, the calculation would be: (16.7% X 10 years) + (33.3% X 6 years) + (50% X 4 years) = 5.67 years, or about five years, eight months.
Here's a simple way to visualize the calculation:
- Bond A: 16.7% x 10 years = 1.67 years
- Bond B: 33.3% x 6 years = 2.0 years
- Bond C: 50% x 4 years = 2.0 years
Adding these up, you get a total weighted average maturity of 5.67 years.
Key Concepts
Weighted average maturity (WAM) is a measure of the overall maturity of the mortgages pooled in a mortgage-backed security (MBS). A longer WAM implies somewhat greater interest rate and credit risk than MBS with shorter WAMs.
WAM is the inverse of another popular MBS duration metric: weighted average loan age (WALA). This means that as WAM increases, WALA decreases, and vice versa.
Here's a quick summary of WAM's implications:
- A longer WAM means greater interest rate and credit risk.
- A shorter WAM means lower interest rate and credit risk.
Understanding the Concept
Weighted average maturity (WAM) is a measure of the overall maturity of the mortgages pooled in a mortgage-backed security (MBS).
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A longer WAM implies somewhat greater interest rate and credit risk than MBS with shorter WAMs.
WAM is the inverse of another popular MBS duration metric: weighted average loan age (WALA).
WAM is calculated by computing the percentage value of each mortgage or debt instrument in the portfolio, multiplying the number of months or years until the bond's maturity by each percentage, and summing the subtotals.
This calculation is used to manage bond portfolios and assess the performance of portfolio managers.
The WAM can give investors a good idea of the riskiness of a portfolio, with longer maturities being more sensitive to interest rate changes.
Here's a key difference between WAM and WALA: WAM measures the average length of time until the maturity of the bonds in a portfolio, while WALA is the inverse of WAM.
A portfolio with a WAM of 10 years will be more sensitive to interest rate changes than a portfolio with a WAM of 5 years.
Intriguing read: Is Yield to Maturity the Same as Interest Rate
Loan Classification
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Loan classification is a crucial aspect of lending, as it determines the risk level of a loan and affects the interest rate and repayment terms.
A loan can be classified as personal, commercial, or mortgage. Personal loans are typically used for individual expenses such as weddings or medical bills, while commercial loans are used for business purposes. Mortgage loans, on the other hand, are secured by a property and used for purchasing or refinancing a home.
The loan classification also determines the type of interest rate applied to the loan. For example, a personal loan might have a variable interest rate, while a mortgage loan typically has a fixed interest rate.
A unique perspective: What Is the Average Mortgage Rates
Examples and Applications
Weighted Average Maturity (WAL) can be a complex concept, but it's essential to understand its practical applications. In the case of a bullet loan, the WAL is exactly the tenor, as the principal is repaid precisely at maturity.
For a 30-year amortizing loan, paying equal amounts monthly, WAL increases as the interest rate increases. This is because the principal payments become increasingly back-loaded as the interest rate rises.
The WAL is independent of the principal balance, but payments and total interest are proportional to principal. A 0% coupon loan, where the principal amortizes linearly, has a WAL that's exactly half the tenor plus half a payment period. For example, a 30-year 0% loan, paying monthly, has a WAL of approximately 15.04 years.
Here's a comparison of WALs for different interest rates on a $100,000 principal balance:
Total Interest
The total interest on a loan or investment is a crucial concept to understand. It's calculated by multiplying the annual interest rate by the weighted average life (WAL) of the loan or investment, and then multiplying that result by the initial principal amount.
This formula, r × WAL × P, shows that the total interest is directly proportional to the principal amount.
Portfolio Examples
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In a bullet loan, the Weighted Average Life (WAL) is exactly the tenor, meaning the principal is repaid precisely at maturity.
For a 30-year amortizing loan, paying equal amounts monthly, the WAL increases as the interest rate increases. This is because the principal payments become increasingly back-loaded, meaning they are made later in the loan term.
Here are some examples of WAL calculations for different interest rates:
As you can see, the WAL increases as the interest rate increases. This is a key consideration when evaluating the terms of a loan.
A 0% coupon loan, where the principal amortizes linearly, has a WAL that is exactly half the tenor plus half a payment period. For a 30-year 0% loan paying monthly, the WAL is approximately 15.04 years.
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Frequently Asked Questions
What is the difference between duration and weighted average maturity?
Duration measures a bond's sensitivity to interest rate changes, while weighted average maturity (WAM) is the average time it takes to receive all cash flows from the bond. In other words, duration is about risk, while WAM is about timing.
Sources
- https://www.investopedia.com/terms/w/weightedaveragematurity.asp
- https://treasurytoday.com/treasury-practice/money-market-fund-metrics/
- https://www.lawinsider.com/dictionary/portfolio-weighted-average-maturity
- https://en.wikipedia.org/wiki/Weighted-average_life
- https://www.poems.com.sg/glossary/technicals/weighted-average-maturity/
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