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April 12, 2002
FOR IMMEDIATE RELEASE

The Journal of the International Machinery & Technical Specialties Committee of the American Society of Appraisers Publishes External Obsolescence and Complex Property Article.
This article was originally published in Volume 18, Issue 1, The Journal of the International Machinery & Technical Specialties Committee of the American Society of Appraisers, February, 2001, and is republished on our web site by permission of the American Society of Appraisers. The article was authored by Lester Rhodes, Senior Manager of Valuation Services at Ryan & Company. Mr. Rhodes is an Accredited Senior Appraiser with the American Society of Appraisers, and a State Certified General Real Estate Appraiser in Texas.

Measuring external obsolescence is a central issue in valuing complex property for ad valorem taxation. Because specialized complex properties are particularly sensitive to external conditions, accurate measure of external obsolescence is critical to achieving a fair property tax valuation. In terms of contentious issues, it may very well rate above intangible property taxation and value in use versus value in exchange. In appraisal theory, there are several ways to measure external obsolescence using cost, direct sales comparison, and income valuation techniques.

The cost approach to value, where accurate measure of external obsolescence is critical, is generally considered the most appropriate, and certainly the most widely employed method of estimating the value of complex properties. Measuring the full extent of external obsolescence, however, is a major weakness of the cost approach. External obsolescence is difficult to isolate and measure and many assessors and tax appraisers omit this measure due to constraints of budget, time, and information.

The income and sales comparison methods of estimating the value of complex property are problematic. Although all value loss, including external obsolescence, is incorporated in value estimates derived from these approaches to value, the characteristics of complex properties often render these methods incalculable. Complex properties are often a unit in a vertically integrated business operation or the major tangible asset of a business enterprise. Complete financial data are generally unavailable for an individual property unit and, when available, often reflect income allocation methods and operating synergies rather than an appropriate market income. Sales data, when available, often reflect the value of the business enterprise thus allocation to each of the operating units is impractical. In addition, intangible and tangible asset value is intrinsic in the income and comparable sales data, creating isolation difficulties where intangible property is exempt from taxation.

The Dictionary of Real Estate Appraisal defines external obsolescence as "An element of accrued depreciation; a defect caused by negative influences outside a site and generally incurable on the part of the owner, landlord, or tenant."1 Economic/external obsolescence is also defined as the loss in value or usefulness of a property caused by factors external to the property, such as increased cost of raw materials, labor, or utilities (without an offsetting increase in product price); reduced demand for the product; increased competition; environmental or other regulations; inflation or high interest rates; or similar factors.2

Characteristics of Complex Properties
Complex properties are typically industrial in nature and are usually larger than commercial property in area, volume, and land occupancy. Function in complex property is more important than aesthetics. Location with accessibility to resources, utilities, and markets for finished goods is critical for operating efficiency and competitive production cost. Complex property requires large investments with the investment in machinery and equipment often exceeding that of land and improvements. In addition the property is highly non-liquid, with even less liquidity as specialization of the property increases to maximize productivity. Because of the degree of specialization, complex property is highly susceptible to technological and economic obsolescence.

Complex property is often referred to as special-purpose or single-purpose property. Special purpose property is usually limited to specific uses within a given sector of manufacturing, for example food processing and consumer good manufacturing. While special purpose property may be converted to similar alternative uses within the industry sector, single purpose property is limited to a single industrial use and not adaptable for any occupancy other than as constructed.3 Examples of single purpose property include power plants, refineries, cement plants, and grain elevators. The Appraisal Institute text, The Appraisal of Real Estate, addresses the highest and best use of complex properties as follows.

Because special-purpose properties are appropriate for only one use or for a very limited number of uses, appraisers may encounter practical problems in specifying their highest and best uses. The highest and best use of a special-purpose property as improved is probably the continuation of its current use, if that use remains viable. For example, the highest and best use of a plant now used for heavy manufacturing is probably continued use for heavy manufacturing, and the highest and best use for a grain elevator is probably continued use as a grain elevator. If the current use of a special-purpose property is physically or functionally obsolete and no alternative uses are feasible, the highest and best use of the property as improved may be realized by demolishing the structure and selling the remains for their scrap value or salvage value.4
Because machinery and equipment, the primary components of complex property can be moved, it is necessary for the appraiser to recognize different value premises as well as different markets. According to the American Society of Appraiser text Valuing Machinery and Equipment, "the market value premises are broadly classified into three categories, distinguished mainly by an asset's anticipated use."5 The premises of value are continued use, installed, and removal. This paper addresses the measurement of external obsolescence in the context of market value in continued use. The fair market value in continued use premise presupposes the continued utilization of the facility. This premise is applicable when the facility is functionally adequate and economically viable and the present use is likely to continue. The buyer would likely be an end user who would acquire the assets for continued use.

Categories and Causes of External Obsolescence
External obsolescence is usually incurable as the events, be they temporary or permanent, causing the loss in value are outside of the control of the property owner. If the conditions are temporary, the predicted length of time the external impairment will affect the subject property should be considered in the measurement of value loss.

External obsolescence is commonly categorized as being locational, or non-systematic and economic, or systematic. Economic factors can be either industry wide or market wide. Locational causes include zoning changes, changes in highest and best use, incompatible development of adjacent land, increased taxation, change in location and sources of supply, and increased cost of raw materials, labor or utilities. Industry wide economic factors include reduced product demand, increased competition, increased foreign imports, environmental or other government regulations, changes in product prices and profitability, and decreased rates of return. Market wide conditions can be national or international and include increased import duties and tariffs, inflation, economic recession, high cost of capital, and government regulations.

Measuring External Obsolescence
The consequence of most external obsolescence is a reduction in operating income and profit. Some locational external obsolescence can be measured by sales comparison, however, this method is rare in complex property valuation due to a lack of usable sales data. Estimates of value loss, therefore, are often calculated using various income valuation techniques. As data are available, incidences of external obsolescence can be measured individually or collectively, using income valuation methods. Individual measurement involves isolating each occurrence of external obsolescence and capitalizing income loss attributable to each cause. Collective measurement is accomplished by capitalization of overall annual income loss, or by the discounting of a periodic, measured income deficiency. A determination of "inutility" can also form the basis of a value loss estimate employed in the cost approach to value. Typically, estimates of value loss are expressed in whole dollars, percentages, or mathematical factors. A common formulation of the cost approach is as follows.
MV = RCN * PDF * FOF * EOF
 
  Where,
  MV = Market Value Estimate
  RCN = Replacement Cost New
  PDF = Physical Depreciation Factor
  FOF = Functional Obsolescence Factor
  EOF = External Obsolescence Factor
Expressing value loss in the form of multipliers, or percent good factors, facilitates allocation of value to various categories, units, or individual items of property. For purposes of this paper, each measure of external obsolescence is expressed as a factor to be applied to replacement cost new less physical depreciation and functional obsolescence.

Inutility
Inutility exists when the operating level of a property is significantly less than practical capacity. Lower capacity utilization translates to lower property value. Depending on the level of fixed cost, inutility accelerates reduction in profit. The extent to which a business uses fixed costs (compared to variable costs) in its operations is referred to as "operating leverage". The greater the use of operating leverage, the larger the increase in profits as sales rise and the larger the increase in losses as sales fall. The Crawford and Cornia paper "The Problem of Appraising Specialized Assets" discusses the use of operating leverage in the standard inutility model, describing the problems of estimating specialized-asset obsolescence by emphasizing the relationship of fixed and variable costs to the measure of obsolescence.6

The inutility models presented in Table 1 and 2 depend on an accurate and standard method of capacity determination and representative variable cost, fixed cost, and operating profit at the determined practical capacity level. The following capacity definitions are provided in order to provide a clear understanding of various capacity terminologies. Theoretical capacity is the maximum productive output for a given period assuming all machinery and equipment are operating at optimum speed without interruption. Practical capacity is theoretical capacity reduced by normal and expected work stoppages. Normal capacity is the average annual level of operating capacity needed to meet expected sales demand.7 Excess capacity is the difference between either theoretical or practical capacity, and normal capacity (actual production).

The U.S. Department of Commerce survey of plant capacity utilization provides a standard for determining practical capacity. The survey requests the maximum level of production that an establishment could reasonably expect to attain under normal and realistic operating conditions, assuming:
  • The machinery and equipment in place and ready to operate will be utilized.
  • Normal downtime, maintenance, repair and cleanup.
  • Number of shifts, hours of plant operations, and overtime pay that can be sustained under normal conditions and a realistic work schedule.
  • Availability of labor, materials, and utilities are not limiting factors.
  • A product mix that was typical or representative of production during the year.
The inutility model shown in Table 1 serves to measure ss in value due to external factors affecting production and, therefore, operating profit. In this example, domestic raw material shortages have reduced production. The condition is considered temporary and full practical capacity is expected to return, in a linear pattern, over the next five years. Lines 1 - 3 contrasts practical capacity and actual production. Lines 4 - 7 delineate fixed and variable operating costs and profit in relationship to total revenue. Line 5 shows the change in variable cost due to the decline in production and the resulting impact on operating profit in Line 7. The utilized capacity factor in Line 8 reflects the change in operating profit and Line 9 is the excess or unused capacity factor. Lines 10-12 contain the components for calculating the present value of the excess capacity. The sum of the utilized capacity factor in Line 8, and the present value of the excess capacity in Line 12 provide the total value impact of inutility, expressed as a factor to replacement cost new less physical and functional depreciation.

When the external condition causing reduced capacity utilization is permanent, a different measure of inutility is necessary because the value of excess capacity is very likely no more than its scrap, or salvage value.

Table 1. Inutility Model - Temporary External Obsolescence
Line
 
Full Utility
Inutility
       
1
  Practical Capacity (Tons/Year)
60,000
60,000
2
  Production
60,000
47,500
3
  Capacity Utilization
1.000
0.792
 
   
 
4
  Total Revenue
1.000
0.792
5
  Variable Cost
0.650
0.515
6
  Fixed Cost
0.150
0.150
7
  Operating Profit
0.200
0.127
 
   
 
8
  Utilized Capacity Factor
 
0.635
9
  Excess Capacity Factor
 
0.365
10
  Discount Rate
 
0.125
11
  Absorption Period (Years)
 
5.000
12
  Present Value of Excess Capacity Factor
 
0.260
13
  Inutility Factor (Line 8 + 12)
 
0.895
Table 2 shows the components of the inutility model for measuring permanent external obsolescence. Table 2 is identical to Table 1 until Line 9. In this model, the purpose of the inutility factor is to balance, or "right size" the plant to match utility. A scale factor or size exponent is necessary because the capital cost of facilities of different capacities varies exponentially rather than linearly due to economies of scale. In other words, as capacity increases, cost also increases but at a different rate.8 Note that the difference between the measure of temporary and permanent external obsolescence by the inutility method relates to the contributory value of the excess capacity. In addition, the inutility factor only provides an adjustment for the degree of use, and other external factors such as reduced product price or higher feed stock prices, must be considered in addition to inutility. When reduced capacity utilization is permanent, the appraiser may choose to adjust the replacement cost new estimate to reflect the probable capacity of the replacement facility and measure as excess operating cost the cost of maintaining the excess capacity.

Income Valuation Techniques
When appropriate income data can be assembled, the income approach to value techniques provide an accurate and defensible measure of external obsolescence. When obsolescence exists, however, it is often in several forms and insolating income loss associated with each occurrence becomes very difficult. For this reason, external obsolescence may be measured individually or collectively, or both.

Because external obsolescence usually results in increased costs, the loss in value can be measured by capitalization of excess operating costs.

Table 2. Inutility Model - Permanent External Obsolescence
Line
 
Full Utility
Inutility
 
     
1
  Practical Capacity (Tons/Year)
60,000
60,000
2
  Actual Production
60,000
47,500
3
  Capacity Utilization
1.000
0.792
 
 
 
 
4
  Total Revenue
1.000
0.792
5
  Variable Cost
0.650
0.515
6
  Fixed Cost
0.150
0.150
7
  Operating Profit
0.200
0.127
 
 
 
 
8
  Utilized Capacity Factor
 
0.635
9
  Scale Factor
 
0.600
10
  Inutility Factor
 
0.762

Table 3 measures loss in value due to the increased transportation cost of raw materials. In this example, domestic feed shortages have dwindled and must be purchased overseas and shipped to US ports. An inland shipping premium of $40 per ton represents excess operating costs incurred by the operation. This condition is expected to be permanent and continue throughout the remaining life of the plant. Line 6 contains the total annual excess cost, the result of multiplying Line 4 and Line 5. Adjusted for taxes, the net annual excess cost is $780,000 (Line 8). The present value of the excess operating cost, and the estimated loss in value, is $4,318,416 (Line10). If each item of external obsolescence can be identified and income loss isolated, this model presents the most defensible method of measuring external obsolescence.

Value loss due to obsolescence can also be estimated utilizing conventional discounted cash flow techniques. The plant is considered obsolete to the degree income fails to satisfy current investment requirements. Comparing the present value of projected income from plant operations with the present value of an income stream generated at a market rate of return provides the measure of external obsolescence.

Table 3. Excess Operating Cost
Line
   
1
   Plant Remaining Life
10
2
   Discount Rate
12.5%
3
   Income Tax Rate
35.0%
 
 
 
 
   Increased Transportation Cost
 
4
   Capacity(Tons)
30,000
5
   Additional Cost/Ton
40.00
6
   Annual Excess Transportation Cost
1,200,000
7
   Income Tax
420,000
8
   Net Annual Excess Transportation Cost
780,000
9
   Present Value Factor
5.53643
10
   Value Loss
4,318,416

In Table 4, the replacement cost new less depreciation (RCNLD) is $50.0 million. Since projected cash flow (CF) is less than market cash flow (MCF)1 , the income deficiency (CF-MCF) should be discounted to present value at an appropriate discount rate. In this example, the discounting of the income shortfall provides a measure of external obsolescence of approximately $11.5 million.

Rates of Return and Valuation Ratio Comparisons
External obsolescence may also be estimated though an analysis of relative change in various macroeconomic factors. Some appraisal practitioners argue that this method is two simplistic and generalized, and that other forms of depreciation may be "double counted." There is also, however, considerable support for including the comparative analysis of rates of return and valuation ratios in the estimation of external obsolescence. According to the text, Valuing Machinery and Equipment:
It should be noted that other measures of economic obsolescence can be developed based on analyses of industry returns, supply/demand relationships, margin analysis, product or raw material price changes, stock prices, the relationship between replacement cost new and cash flows the hypothetical replacement facility is capable of generating, and other economic evidence indicating that the value of the subject property has been reduced by external factors.9
In Robert Reilly's widely published article on economic obsolescence, he states that "a current and sustained reduction in the level of investor returns, compared to historical industry averages, also indicated economic obsolescence on an industry-wide basis. Appropriate measures of investor returns would include return on net assets, return on total assets, return on investment, return on equity, and return on tangible assets."10

Table 4. Free Cash Flow Comparison($000)
RCNLD (Before External Obsolescence) 50,000  
Growth Rate   3.00%
Discount Rate   12.50%
Capitalization Rate   9.50%
External Obsolescence 11,495  
External Obsolescence Factor 0.77  
 
Year Free Cash Flow(CF) Market Cash Flow(MCF) CF-MCF Present Value Factor(PV) PV CF - MCF
1 3,658 4,750 (1,092) 0.88889 (971)
2 3,768 4,893 (1,125) 0.79012 (889)
3 3,881 5,039 (1,159) 0.70233 (814)
4 3,997 5,190 (1,193) 0.62430 (745)
5 4,117 5,346 (1,229) 0.55493 (682)
Reversion 44,638 57,964 (13,326) 0.55493 (7,395)
          (11,495)

Table 5 provides historical rate of return data for the basic material sector. This sector has been particularly affected by increasing environmental legislation and other government regulations, foreign competition, and worldwide economic events. The table presents a 5-year average rate of return and the trailing twelve months (TTM) rate of return on assets (ROA) and on investment (ROI). Obsolescence Factor 1 may provide an estimate of external obsolescence resulting from industry wide factors, such as changes in product price, raw material costs, etc. The measure compares current industry returns (TTM) to 5-year average industry returns. When certain types of external obsolescence affect particular industries or sectors, and the impact has been long term, comparisons outside the specific industry may be more appropriate. For example, in order to gauge the impact of environmental regulations on a particular industry, it may be necessary to make a comparison to industry in general. Obsolescence factor 2 compares returns in the subject industries to returns in the S&P 500. The S&P 500 Index is widely regarded as the standard for measuring large-cap U. S. stock market performance and contains a representative sample of leading companies in leading industries. Other index measures of general industrial performance that can be used for benchmarking rates of return include the S&P 100, 400, and 600.

Table 5. Rate of Return Comparison
  5-Year Average TTM Obsolescence Factor1 Obsolescence Factor2
INDUSTRY ROA ROI ROA ROI ROA ROI ROA ROI
As of 1/1/2001                
Chemical Manufacturing 6.16 8.27 5.45 7.23 0.88 0.87 0.74 0.63
Chemicals - Plastics & Rubber 6.01 7.56 3.84 4.47 0.64 0.59 0.73 0.57
Containers and Packaging 5.52 7.65 5.37 7.61 0.97 0.99 0.67 0.58
Fabricated Plastic and Rubber 5.75 7.44 6.41 8.25 1.11 1.11 0.70 0.56
Forestry & Wood Products 5.33 5.98 4.99 5.64 0.94 0.94 0.64 0.45
Gold & Silver -3.90 -4.38 0.95 1.36 (0.24) (0.31) (0.47) (0.33)
Iron & Steel 6.26 7.65 3.89 4.59 0.62 0.60 0.76 0.58
Metal Mining 7.01 8.52 6.39 8.15 0.91 0.96 0.85 0.65
Miscellaneous Fabricated Products 8.86 11.69 7.95 10.42 0.90 0.89 1.07 0.89
Non-Metallic Mining 3.12 3.99 -1.38 -1.67 (0.44) (0.42) 0.38 0.30
Paper & Paper Products 5.11 7.08 7.33 10.05 1.43 1.42 0.62 0.54
 
Sector-Basic Material 5.02 6.50 4.65 6.01 0.93 0.93 0.61 0.49
S&P 500 8.27 13.20 9.17 13.14 1.11 1.00 1.00 1.00
¹Compares trailing twelve month (TTM) return with 5-year average return.
²Compares industry 5-year average return to S&P 500 5-year average return.

Summary
Complex properties and external obsolescence present unique valuation challenges. The problem is both in identifying the external causes of obsolescence and measuring the loss in value. When income loss can be reasonably determined, the various income capitalization and discounting techniques provide an acceptable means of translating income loss into a capital sum, and therefore a loss in value estimate. When the use of income valuation techniques is impractical, the inutility model should be developed.

The traditional inutility model, the extent of which involved the application of a scale factor to throughput, is overly simplistic and unenthusiastically received by assessors as a measure of value loss. The addition of operating leverage in the formulation dramatically improves the accuracy, and the acceptance, of the inutility measure. The operating profit and cost ratios must, however, be in proper balance with the practical capacity estimate.

Still, the problem of valuing the excess capacity in the inutility model was obviously missing. When the cause of the external obsolescence is temporary, the unused capacity will likely add value in the future as growth consumes capacity. The model deficiency can be resolved by adding a simple present value calculation to the inutility model. If you assume that absorption of excess capacity is linear, then the only input variable required is absorption period and discount rate. The overall inutility factor is now the sum of the factors for both utilized capacity and unutilized capacity.

While not all causes of external obsolescence have been identified and not all methods of measuring external obsolescence have been covered in this paper, it should be clear that external forces exert powerful positive and negative pressures on complex property value. External obsolescence is not just "the cost of doing business", as one assessor argued, but a tangible and measurable loss in value.

If you have any questions regarding this document, please call Lester Rhodes at 972.934.0022 x101225. You can also reach Mr. Rhodes by e-mail.


1 Market cash flow in this case is the income generated from a $50.0 million investment at a market rate of return.


1 Appraisal Institute. The Dictionary of Real Estate Appraisal, 3rd ed. Chicago: Appraisal Institute, 1993. 128.

2 American Society of Appraisers. Valuing Machinery and Equipment, Washington: American Society of Appraisers, 2000. 99.

3 Industrial Property Appraisal, Course 207. Chicago: International Association of Assessing Officers. 1997. 1-6.

4 Appraisal Institute. The Appraisal of Real Estate, 11th ed. Chicago: Appraisal Institute, 1996: 316.

5 American Society of Appraisers. 2.

6 Robert Crawford, PhD and Gary Cornia, PhD. "The Problem of Appraising Specialized Assets." Appraisal Journal Jan. 1994: 75-85.

7 Belverd Needles, Henry Anderson, and James Caldwell. Principals of Accounting, 5th ed. Boston: Houghton Mifflin Company, 1993: 844.

8 American Society of Appraisers. 101.

9 American Society of Appraisers. 104,105.

10 Robert Reilly. "Identification and Quantification of Economic Obsolescence." Journal of Property Taxation 1.1 (1988): 45-62.

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