Saturday, May 18, 2024

The Art and Science of Time Adjustments in AVM - Part 1 of 2

Target Audience: New Graduates/Analysts

Part 1 of 2

In Automated Valuation Models (AVMs), time adjustment is crucial for accurately assessing property values. This process involves applying quantitative adjustments to the sale prices of comparable properties to reflect their estimated value on a specific date, known as the valuation date. Time adjustments are integral to AVMs as they ensure that the estimated value of a property aligns closely with its market value at the specified valuation date. By considering the impact of time on property values, AVMs can provide more reliable, up-to-date valuations for real estate properties.

Imagine you're valuing a house in May 2024. You have data on houses with similar characteristics that sold in the previous year (2023). Without a time adjustment, the AVM would directly compare 2023 sale prices to the subject property in 2024, which wouldn't be accurate because the market might have changed between those periods.

This adjustment accounts for potential market changes and ensures that an AVM built on 2023 sale prices yields accurate results when valuing unsold properties in 2024. This meticulous approach enhances the precision and relevance of property valuations, reflecting the dynamic nature of real estate markets and providing valuable insights for industry professionals.

Example 1

(Click on the image to enlarge)

Suppose you are developing an Automated Valuation Model (AVM) for a specific county using fifteen months of single-family home sales data, from January 2023 to March 2024. The valuation date is April 1, 2024. You are conducting a regression analysis with the sale price as the dependent variable and three essential characteristics and months as independent variables. In this regression output, the "MONTHS" variable you used represents the number of months since the sale. Therefore, a sale in January 2023 will receive a value of 15 (April 2024 minus January 2023), while a sale in March 2024 will receive a value of 1. Now, applying the coefficient to months, sales for January 2023 will be increased by $18,615 ($1,240.97 multiplied by 15), and sales for March 2024 will be increased by $1,240.97 (multiplied by 1). 

Note: No additional location variable is needed, as the time adjustment must be at the county level. You aim to use this regression analysis to derive a time coefficient that will help adjust all sales to the valuation date, resulting in a time-adjusted sale price. The time-adjusted sale price will then be used as the dependent variable in the modeling dataset. The time-adjusted sale price will help standardize sales data to a common valuation date, enabling more accurate comparisons and predictions of property values.

The regression analysis helps achieve two key goals for an AVM:

1.  Derive a time coefficient: The coefficient for the MONTHS variable ($1,240.97) represents the average monthly change in sale price. You can adjust sale prices to your valuation date (April 1, 2024). For example, a sale that closed in January 2023 can be adjusted by adding 15 months * $1240.97 to the sale price.

2.  Identify other essential factors: The coefficients for the other variables (LAND AREA, LIVING AREA, BLDG AGE) indicate the impact of these characteristics on sale prices. This information can be used in the next stage of your AVM modeling process.

Overall, the regression analysis provides a statistically sound foundation for building your AVM. By incorporating the time coefficient and the identified relationships between other characteristics and sale prices, you can create a model that estimates sale prices for single-family homes in your county.

Example 2


In this example, you use 27 months of single-family home sales data from January 2022 to March 2024. The valuation date is April 1, 2024. Again, the "MONTHS" variable represents the number of months since the sale. For instance, a sale in January 2022 will receive a value of 27 (April 2024 minus January 2022), while a sale in March 2024 will receive a value of 1. For example, sales for January 2022 will be adjusted up by $12,869 ($476.62 multiplied by 27), and sales for March 2024 will be adjusted by $476.62 (multiplied by 1).

Based on this regression analysis, you have determined the coefficients for adjusting sale prices based on the number of months since the sale. This time adjustment allows you to standardize all sales to the April 1, 2024, valuation date.

To extend this analysis to the regression modeling for your AVM, you will incorporate the time-adjusted sale prices (dependent variable) into a new dataset, alongside other relevant features of the county's single-family homes. By using this adjusted sale price as the dependent variable and including other important variables (such as property characteristics, location factors, market trends, etc.) as independent variables, you can build a predictive model that estimates home values accurately for the valuation date across the county. This regression model will help you generate automated valuations for single-family homes based on their unique attributes and the time adjustment derived from the regression analysis.

Important to Note

In this case, where the intercept was forced to zero primarily to generate the time coefficient for adjusting sale prices to a standard valuation date, it can be considered statistically valid, given the specific goal of deriving time-adjusted sale prices rather than estimating the actual property values.

When moving to a regression model, it is recommended to include the intercept to achieve a more comprehensive and accurate valuation model. By capturing the overall baseline level of property values, this practice can improve your AVM's predictive ability and reliability.

Conclusion

Given the volatility in monthly time-series data, a multiple-regression-based analysis is recommended to develop smoother, more accurate time-adjustment factors for automated valuation modeling. This analysis should include a combination of time (i.e., the "Months since Sale" variable) and essential property characteristics, such as Land SF, Living SF, and Year Built. By incorporating these essential property characteristics (alongside the time variable), analysts can create a comprehensive framework that accounts for various factors influencing property values. This regression analysis yields a time coefficient that can be used to adjust the raw sale price and generate a time-adjusted sale price, which will then serve as the dependent variable in the modeling process. This two-step regression process will generate more accurate AVM values, targeting the valuation date.

Note: In part 2 of 2, we will discuss the method for handling extended time-series data. 

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