Showing posts with label Spatial Sales Analysis. Show all posts
Showing posts with label Spatial Sales Analysis. Show all posts

Tuesday, October 27, 2020

AVM is a Market Solution, Comparable Sales Analysis isn't (Part 2 of 2)

If a subject and a sales population are provided to a group of concerned parties – from an Assessor to a Bank Appraiser to a Listing Agent offering buyback guarantee to a traditional Listing Agent to a Buyer's Agent to an Appeals Consultant – one would be unpleasantly surprised by the outcome.

They will pick different comps based on their professional requirements and objectives, leading to different, often very conflicting valuations. For instance, Assessors may not have the taxpayers' best interest at heart as they have to meet budgetary requirements, paving the way for counterparties like Appeals consultants. A Listing Agent looking to get an "exclusive" may not do well with a set of middle-of-the-road comps that a Buyer's Agent might be interested in. In other words, the selection of comps is a function of the hat the party wears, making the entire process highly subjective. AVM, on the other hand, is a reasonably scientific exercise. All variables interact with one another in an econometric equation and produce the resulting values. Therefore, all other factors remaining constant, two identical homes will have equal values – but not so in the world of the comparable sales analysis (aka, comp sales) as it is very party-specific.

Once the sales pool that closely represents the subject is scored correctly and quantitatively adjusted, it becomes comps. Generally, the five best comps are then selected to value a subject. Valuers tend to use one of the three standard methods – distance, least adjustments, and sales recency – to narrow their choices down to the five contributing comps.  

In this analysis, the subject home attributes are Bldg SF=3,250, Lot SF=17,400, and Bldg Age=26. An optimal pool of 10 comps was algorithmically produced from an extensive sales population to demonstrate how subjectivity plays a vital role in this valuation process, removing the lowest ($308,770) and the highest value ($422,175) comps in each approach. 




The above table represents the distance method, meaning the five closest (to the subject) comps were considered to be the best comps, producing a value range of $344,820 to $414,940, with a probable subject value of $388,775. Since least adjustments and recency of sales were ignored here, obviously, several comps needing large adjustments or of older originations managed to creep in, making the process sub-optimal.
  



The above table represents the least adjustment method, meaning the comps that required the least adjustments were considered the best comps. The least adjustment is nothing but a balancing act. In other words, larger lots are compensated in value by smaller building sizes, and lesser time adjustments are proxying for older homes, etc. For example, the second least adjusted comp (# 6) with a much smaller lot was corrected by the larger and older building. It also sacrificed one of the closest (# 8) comps. This method produced a lower subject value of $371,150.




The above table represents the sales recency method, meaning the most recent five comps (in terms of sale dates) are the best ones. This is where the lowest and the highest value comps showed up on the initial line-up, hence substituted with the ones waiting in line. Though this method produced the most compact value range (upper bound was compacted down), it produced the lowest subject value of $360,340.


Therefore, if this comp sales analysis were to be used to cater to the target as mentioned earlier audience, this is how the game would be played out:


1. Assessors and Listing Agents (traditional) will be given the "distance" value (highest value).


2. Bank Appraisers and Listing Agents (buyback) will be given the "least adjustment" value (middle-of-the-road value).


3. Appeals Consultants and Buyer's Agents will be given the "sales recency" value (lowest value).


How to Reduce Subjectivity in Comp Sales


1. Apply meaningful selection, scoring/ranking, and adjustments to the sales population;

2. Build an AVM and insist on two AVM values (4th and 5th) on comps line-up;

3. Verify all comps spatially, ensuring they all come from the same or, at least, compatible neighborhoods;

4. Apply time adjustments in line with the local market (using national figures or adjustments could distort results);

5. Pay attention to valuation dates as 01-01-19 and 08-16-19 are different, often requiring additional adjustments;

6. While using sales recency, contract dates are preferred to closing dates (despite the industry norm);

7. If one is not allowed to use AVM values, one must show the AVM values below the comps grid with detailed value analysis;

8. If the sales population is large, a representative sample might be extracted from the most recent arms-length sales; and

9. If the subject population is large, automate the process with batching technology (batch comps).


-Sid Som
homequant@gmail.com


AVM is a Market Solution, Comparable Sales Analysis isn't (Part 1 of 2)

 

(Click on the image to enlarge)

In developing the analysis, the same sales population – derived from a single Zip Code – has been used across all three graphs (of course, one may use other fixed locations like Census Tract, School District, etc.). Considering all sales originated in the same Zip, it helped minimize the impact of location (of course, one can never make location totally irrelevant as each block has a different appeal).

The above graph shows the noisy relationship between the uncorrected (raw) Sale Price and Bldg Size (Heated Living Area). The reason is straightforward: Each sale is directly related to a buyer's judgment, causing a high level of subjectivity; for instance, the buyers are paying between $100K and $250K for a 1,500 SF home. While the investors would target the lower end of the range, the informed buyers would be in the middle, and the uninformed buyers (someone bent on buying a pink house!) would succumb to the higher end of the range. Therefore, the R-squared is extremely low (0.189), thus explaining very little of the variations in sale prices.
  



The Regression Value-1 graph proves that even a rudimentary regression model (with only three independent variables - Land SF, Bldg SF, and Bldg Age) can produce a decent market solution. The fit is significantly tighter, especially at the long end of the curve. The R-squared jumps from 0.19 to 0.91, accounting for 90% of the variations in sale prices. But this model has bi-modal issues between 1,000 and 2,200 SF as the regression values are forked. It's important to note that such stacked values must be investigated for the underlying reasons. One of the simple ways to identify the issue is to scatter the normalized regression values against the other independent variables and look for possible explanations.





The above investigation guides to the solution. As the normalized regression values from the first model were scattered against the Bldg Age variable (above graph), it was evident that many buyers were paying a premium for the younger homes, causing the stack. A sizeable portion of those buyers was willing to pay over $130/SF for the younger homes, while very few offered such a premium for the older stock. More precisely, none paid over $160/SF for the older stock.



So the Bldg Age variable had to be transformed from continuous to binary (younger homes vs. the rest). The regression model's re-run with the transformed Bldg Age produced the above (Regression Value-2) graph. Consequently, the value fork has disappeared, translating to a much tighter fit, with improved R-squared, lower intercept, and a steeper slope approaching 45 degrees.  

Stay safe!

-Sid Som
homequant@gmail.com


Monday, September 7, 2020

Sales Ratio Study is largely Ineffective, if not Counter-productive

A Sales Ratio study examines the relationship of Market Values on the Assessment Roll to Time-adjusted Sale Prices (adjusted to the Valuation/Taxable Status Date). A Sales Ratio study, unlike an Automated Valuation Model (AVM), is not an econometric solution that could be used in any meaningful decision-making. Unfortunately, sales ratio studies are often developed and used to test the assessment rolls' metallurgy and progression.

Since sales ratios are developed using sales complexes only, two very similar homes in a given neighborhood - with very different effective ages, say 15 vs. 50 - will be evaluated alike. On the other hand, a properly-developed AVM will effectively assess the differences and return values that are different, yet statistically significant and econometric.

What does a sales complex comprise?

-Sale Price
-Sale Date (to time-adjust sales to valuation/status date)
-Sale Validation (to ensure only arms-length sales are used)
-Classification (to ensure the right class of properties is used)
-Market Value (from the Tax Assessment Roll)
-Assessed Value (when Residential Assessment Ratio or RAR is also required)
Additionally, some consultants retain a few other variables like Town (to evaluate sub-markets if it is a county-wide study) and Living Area (to consider normalized scenarios). Of course, sub-market and normalized ratios are statutorily rare.

So, why does a sales ratio study become an ineffective solution? Let's consider the following reasons...

1. Sales Ratio Studies are at best Heuristic analyses -- Most large and even medium-sized tax jurisdictions have moved to primarily AVM-based tax rolls. Therefore, when the raw sale prices (generally time-adjusted) are compared with the scientifically-derived AVM values (to compute the sale ratio), it is no longer an apples-to-apples comparison. Sale prices do indeed reflect property characteristics (in addition to location, etc.). They are nonetheless highly subjective, reflecting individual (un-equalized) economic behavior, including personal tastes and preferences (e.g., when one is bent on buying a pink house, one will overpay). Exterior walls and conditions are actual modeling variables, while exterior color is not. Therefore, the presence of data variables will force AVMs (hence the tax roll values) to ignore those emotional premiums. Simultaneously, the standalone sale prices in sales ratio studies will fail to differentiate and ignore them.

2. Sales Ratio Studies do not require "Representative" Tests -- The underlying assumption of a sales sample is that it statistically represents the population it is derived from. But that assumption is not necessarily valid. When the sample is large, it tends to be representative at the body of the curve (between the 25th and 75th percentiles), but not necessarily on short (<25th percentile) and long end (>75th percentile) of the curve. The reason is simple: Not all segments of the market move in tandem. When a market starts its upswing, it usually begins at the lower end of the curve, followed by the mid-range and further up. Thus, without a proper representative test, a sales ratio study is, at best, a hit or miss. The additional sub-market or normalized ratios remain equally unreliable.

3. Sales Ratio Studies do not require Price Segmentation Tests -- Sales ratio studies are perfect "one size fits all," meaning only a median-based ratio does the real trick. The absence of the price-segmented (<25th percentile; 25th to 50th percentiles; 50th to 75th percentiles; >75th percentile) ratios is, at best, a limited scope analysis, which is the primary reason why many tax rolls are regressive, i.e., why the middle-class neighborhoods heavily subsidize the wealthy districts. State Boards and Industry Technical bodies must additionally (in addition to the median ratio) require the full price-segmented ratios to minimize the incidence of compensating errors, leading to fair and equitable adjustments    

4. Sales Ratio Studies do not require Champ-Challenger Validations -- Before an AVM is finalized, it is optimized and then tested against a mutually exclusive hold-out sample (Challenger). If the hold-out test results are very similar, the model is considered final (Champ) and is ready to be applied to the population. Of course, when it comes to sales ratio studies, there are no such requirements. A forward sales sample would be an ideal challenger. For example, if the statutory ratio is developed off of the 2018 calendar year sales, it could be tested against a forward sales sample (comprising validated Q1/Q2-2019 sales). Seasoned listings could be added to bolster the forward sample. The forward sample test must produce comparable (to the statutory sample) results. Before rushing to make a biblical prophecy to confirm the roll results, so the dust settles, the concerned 3rd parties like the local newspaper reporters and independent review consultants should, at least, undertake this challenger test.

5. Sales Ratio Studies do not require Stratified Time Adjustments -- As explained before, not all segments of the market move in tandem; hence time adjustment factors in each segment are often different. Applying one median factor generally distorts both ends of the curve, forcing the outer segment values to move further away from the AVM (Roll) values. Again, the State Boards and Industry Technical bodies must require all ratio analyses - from sales sampling to time adjustments to error ratios - performed and broken down into statistically significant price segments. In fast-moving markets, time becomes a critical issue, so the time adjustment factors must be analyzed and applied by statistical segments. Alternatively, even when a median time factor is used in an AVM, it does not pose any threat as it interacts with other variables, including location, and gets corrected.

6. Sales Ratio Studies do not require any meaningful Spatial Tests -- While a system-wide median ratio could be acceptable for a small and mostly homogeneous jurisdiction, it is not very meaningful for large and complex jurisdictions with multiple towns, boroughs, etc. For example, a system-wide coefficient of dispersion (COD) of 15 for New York City is neither very instructive nor very helpful, as a low COD of 9 for Staten Island, a relatively homogeneous borough in the City, may compensate for Brooklyn's 20 due to its highly heterogeneous housing stock. In this example, while Staten Island passes with flying colors, Brooklyn fails even though its overall COD remains compliant. Therefore, the study of assessment equity requires meaningful analysis by major spatial parts and the aforesaid economic/market attributes and segments.

7. Sales Ratio Studies do not require the use of MLS data to Test Data Validity -- Granted, most tax jurisdictions tend to be more careful as to the quality of the sales data (easy picking by media, etc.) than the unsold properties. Yet, this data quality is nowhere as clean and up-to-date as the MLS data that are all professionally inspected and verified. Therefore, the State Boards and other Technical bodies should urge that the jurisdictions develop the ratio-eligible database after comparing the internal sales data with those of the MLS'. Only the (arms-length) sales data as matched and confirmed by the MLS data should qualify for the ratio study. There is a long-term benefit to this exercise as well: By studying the unmatched data, an AI logic could be developed and applied on to the unsold population to isolate (or at least narrow down) the cases requiring immediate attention. An AI-driven auto-regressive data update process is always preferable (inherently more surgical) to the traditional cyclical approach (e.g., update all data on a 5-year cycle), considering only a small percent of the entire population might need attention or update, although costing taxpayers an unnecessary ton.

8. Sales Ratio Studies do not require any Data Convergence schema -- Although the raw sale prices are being compared with the modeled values, no data convergence schema is necessary to make the sale prices closely align with the data. As indicated before, absent the data variables, it is difficult to explain why two very similar homes in very close proximity of each other are fetching somewhat different prices. While an AVM will correct and explain that difference, sales ratio studies will have no explanations. Therefore, sales verification must also include "Effective Age" and "GIS Implications." If the GIS implications are noted alongside the verified sales, the highly impacted sales could easily be avoided, a priori. Similarly, the Effective Age ranges could effectively serve as sub-stratification criteria to compare and analyze the genuinely similar properties. The point is that the sale price alone is inadequate to form any meaningful decision-making.    

9. Sales Ratio Studies have yet to factor in the Impact of Cap on SALT deductions -- The new $10,000 cap on SALT deductions (including property taxes) has started to impact the high-end residential markets, especially in high-tax coastal markets. A report from the New York Federal Reserve concluded that the caps on taxes and mortgage debts "have negatively impacted the housing market" by lowering the sales volume. Of course, the market will take a while to manifest any meaningful medium to the long-term effect. As the volume wanes on the long end of the value curve, sales must be adequately replaced by hand-worked appraisals. It would be imprudent and highly regressive to re-populate that curve's stretch by drawing from the 50th to 75th percentile ranges. That type of re-population or idea perhaps works in physical sciences, but not in economic sciences. State Boards and Technical bodies must recognize and act on this emerging trend.

Sales ratio studies urgently need a fresh and forward look. The median-based one-size-fits-all concept has to be replaced with meaningful market segmentation analyses, coupled with a handful of spatial and economic attribute tests. 

-Sid Som, MBA, MIM
homequant@gmail.com



Friday, February 14, 2020

AVM is a Market Solution, Comparable Sales Analysis isn't

Part 1 – AVM


(Click on the image to enlarge)

In developing the analysis, the same sales population – derived from a single Zip Code – has been used across all three graphs (of course, one may use other fixed locations like Census Tract, School District, etc.). Considering all sales originated in the same Zip, it helped minimize the impact of location (of course, one can never make location totally irrelevant as each block has a different appeal).

The above graph shows the noisy relationship between the uncorrected (raw) Sale Price and Bldg Size (Heated Living Area). The reason is straightforward: Each sale is directly related to a buyer's judgment, causing a high level of subjectivity; for instance, the buyers are paying between $100K and $250K for a 1,500 SF home. While the investors would target the lower end of the range, the informed buyers would be in the middle, and the uninformed buyers (someone bent on buying a pink house!) would succumb to the higher end of the range. Therefore, the R-squared is extremely low (0.189), thus explaining very little of the variations in sale prices.  



The Regression Value-1 graph proves that even a rudimentary regression model (with only three independent variables - Land SF, Bldg SF, and Bldg Age) can produce a decent market solution. The fit is significantly tighter, especially at the long end of the curve. The R-squared jumps from 0.19 to 0.91, accounting for 90% of the variations in sale prices. But this model has bi-modal issues between 1,000 and 2,200 SF as the regression values are forked. It's important to note that such stacked values must be investigated for the underlying reasons. One of the simple ways to identify the issue is to scatter the normalized regression values against the other independent variables and look for possible explanations.





The above investigation guides to the solution. As the normalized regression values from the first model were scattered against the Bldg Age variable (above graph), it was evident that many buyers were paying a premium for the younger homes, causing the stack. A sizeable portion of those buyers was willing to pay over $130/SF for the younger homes, while very few offered such a premium for the older stock. More precisely, none paid over $160/SF for the older stock.




So the Bldg Age variable had to be transformed from continuous to binary (younger homes vs. the rest). The regression model's re-run with the transformed Bldg Age produced the above (Regression Value-2) graph. Consequently, the value fork has disappeared, translating to a much tighter fit, with improved R-squared, lower intercept, and a steeper slope approaching 45 degrees.  


Part 2 – Comparable Sales Analysis

If a subject and a sales population are provided to a group of concerned parties – from an Assessor to a Bank Appraiser to a Listing Agent offering buyback guarantee to a traditional Listing Agent to a Buyer's Agent to an Appeals Consultant – one would be unpleasantly surprised by the outcome.

They will pick different comps based on their professional requirements and objectives, leading to different, often very conflicting valuations. For instance, Assessors may not have the taxpayers' best interest at heart as they have to meet budgetary requirements, paving the way for counterparties like Appeals consultants. A Listing Agent looking to get an "exclusive" may not do well with a set of middle-of-the-road comps that a Buyer's Agent might be interested in. In other words, the selection of comps is a function of the hat the party wears, making the entire process highly subjective. AVM, on the other hand, is a reasonably scientific exercise. All variables interact with one another in an econometric equation and produce the resulting values. Therefore, all other factors remaining constant, two identical homes will have equal values – but not so in the world of the comparable sales analysis (aka, comp sales) as it is very party-specific.

Once the sales pool that closely represents the subject is scored correctly and quantitatively adjusted, it becomes comps. Generally, the five best comps are then selected to value a subject. Valuers tend to use one of the three standard methods – distance, least adjustments, and sales recency – to narrow their choices down to the five contributing comps.  

In this analysis, the subject home attributes are Bldg SF=3,250, Lot SF=17,400, and Bldg Age=26. An optimal pool of 10 comps was algorithmically produced from an extensive sales population to demonstrate how subjectivity plays a vital role in this valuation process, removing the lowest ($308,770) and the highest value ($422,175) comps in each approach. 




The above table represents the distance method, meaning the five closest (to the subject) comps were considered to be the best comps, producing a value range of $344,820 to $414,940, with a probable subject value of $388,775. Since least adjustments and recency of sales were ignored here, obviously, several comps needing large adjustments or of older originations managed to creep in, making the process sub-optimal.  



The above table represents the least adjustment method, meaning the comps that required the least adjustments were considered the best comps. The least adjustment is nothing but a balancing act. In other words, larger lots are compensated in value by smaller building sizes, and lesser time adjustments are proxying for older homes, etc. For example, the second least adjusted comp (# 6) with a much smaller lot was corrected by the larger and older building. It also sacrificed one of the closest (# 8) comps. This method produced a lower subject value of $371,150.




The above table represents the sales recency method, meaning the most recent five comps (in terms of sale dates) are the best ones. This is where the lowest and the highest value comps showed up on the initial line-up, hence substituted with the ones waiting in line. Though this method produced the most compact value range (upper bound was compacted down), it produced the lowest subject value of $360,340.


Therefore, if this comp sales analysis were to be used to cater to the target as mentioned earlier audience, this is how the game would be played out:


1. Assessors and Listing Agents (traditional) will be given the "distance" value (highest value).


2. Bank Appraisers and Listing Agents (buyback) will be given the "least adjustment" value (middle-of-the-road value).


3. Appeals Consultants and Buyer's Agents will be given the "sales recency" value (lowest value).


How to Reduce Subjectivity in Comp Sales


1. Apply meaningful selection, scoring/ranking, and adjustments to the sales population;

2. Build an AVM and insist on two AVM values (4th and 5th) on comps line-up;

3. Verify all comps spatially, ensuring they all come from the same or, at least, compatible neighborhoods;

4. Apply time adjustments in line with the local market (using national figures or adjustments could distort results);

5. Pay attention to valuation dates as 01-01-19 and 08-16-19 are different, often requiring additional adjustments;

6. While using sales recency, contract dates are preferred to closing dates (despite the industry norm);

7. If one is not allowed to use AVM values, one must show the AVM values below the comps grid with detailed value analysis;

8. If the sales population is large, a representative sample might be extracted from the most recent arms-length sales; and

9. If the subject population is large, automate the process with batching technology (batch comps).


-Sid Som, MBA, MIM
President, Homequant, Inc.
homequant@gmail.com