Measuring Physical Deterioration in a Cost Approach Analysis to Value Electric Generation Tangible Personal Property

BY CONNOR J. THURMAN, ARCHIBALD CULLEN, AND BRYAN ENDRES


The following article was prepared by its authors. The opinions expressed in the article represent the authors’ and may not reflect the view and/or opinion of Vallit Advisors and its staff. Views/opinions are based on the specific facts and circumstances of each matter.


CONNOR J. THURMAN is a manager with Vallit Advisors and can be reached at 443-482-9500, Ext. 114 or cthurman@vallitadvisors.com

ARCHIBALD CULLEN is a senior analyst with Vallit Advisors. He can be reached at 443-482-9500, Ext. 121 or acullen@vallitadvisors.com

BRYAN ENDRES is an analyst with Vallit Advisors, and can be reached at 443-482-9500, Ext. 108 or bendres@vallitadvisors.com

Journal of Property Tax Assessment & Administration | Volume 21, Issue 1


Abstract

State and local property taxation legal counsel and/or electric generation tangible personal property owners often require tangible personal property appraisers to appraise their tangible personal property. Such tangible personal property may be appraised for numerous purposes but are often appraised in property taxation related disputes. In such instances, appraisers may apply cost approach appraisal methods. As part of these cost approach appraisal methods, the appraiser must consider the physical deterioration component of depreciation. This discussion will focus on the measurement of physical deterioration in a cost approach analysis to value electric generation tangible personal property.

 


Introduction

State and local property taxation legal counsel (“counsel”) and/or electric generation (“EG”) tangible personal property (“TPP”) owners often require TPP appraisers (“appraisers”) to appraise EG TPP. Such EG TPP may be appraised for numerous purposes but are often appraised in property taxation related disputes.

 

This discussion will focus on the measurement of physical deterioration (“PD”) in a cost approach analysis to value EG TPP.

 

Specifically, this discussion will summarize what EG TPP is, why EG TPP is appraised, and how EG TPP is appraised. This discussion will also present various cost approach appraisal methods that may be applied to appraise EG TPP. Lastly, this discussion will provide specific guidance related to the measurement of PD in an EG TPP appraisal context.

 

The next section of this discussion will briefly describe EG TPP appraisal.

 


Electric Generation Tangible Personal Property Appraisal

What is Electric Generation Tangible Personal Property?

Broadly, EG TPP is the physical property of an EG company that is not considered real property. Examples of real property are land and buildings, that is, property that is either land or is permanently affixed to the land.

 

Examples of common EG TPP include:

  • wind turbines (including blades, nacelles, and more),
  • solar panels,
  • natural gas (or other fossil fuel) turbines, and
  • much more.

 

The classification of property as either TPP or real property often differs from jurisdiction to jurisdiction. Appraisers may consult with counsel in dispute-related assignments where the classification of property is at-issue.

Why Do We Appraise Electric Generation Personal Property?

In some instances, such EG TPP is not subject to property taxation, whether such taxes are levied at the state level (e.g., unit principle taxation) or at the local level (e.g., summation principle taxation). In such instances, appraisers may be retained by counsel or EG TPP owners (or both) to appraise the EG TPP that is not subject to taxation as part of a property tax dispute.

 

In other instances, such EG TPP may be assessed at a level above (or below) what the EG TPP owner (or taxing assessor) may feel is appropriate. In such instances, appraisers may be retained by counsel or EG TPP owners (or both) to appraise the EG TPP as part of the property tax dispute.

 

How Do We Appraise Electric Generation Personal Property?

There are three generally accepted EG TPP appraisal approaches: the market (sales comparison) approach, the income approach, and the cost approach.

 

The market (sales comparison) approach analysis may include the (1) stock and debt method or (2) the comparable sales method. Either method relies on developing supportable and credible market-derived pricing multiples that may be based on metrics such as (1) revenue, (2) EG capacity, (3) actual EG output, or (4) numerous other metrics.

 

The income approach analysis may include the (1) direct capitalization method or (2) the yield capitalization method. Either method relies on developing supportable and credible estimates of cash flow for the EG TPP. Further, either method relies on developing a supportable and credible estimate of an appropriate capitalization rate and/or discount rate.

 

The cost approach analysis may include the historical cost less depreciation (“HCLD”) method, the reproduction cost new less depreciation (“RPCNLD”) method, and the replacement cost new less depreciation (“RCNLD”) method.

 

All of these cost approach methods have two elements in common:

  1. They apply a comprehensive definition of cost—that is, the selected cost metric includes all applicable cost components.
  2. They include a comprehensive definition of depreciation—that is, the depreciation metric includes all depreciation and obsolescence components.

 

The next section of this discussion will provide a brief overview of these cost approach methods.

 


Cost Approach Appraisal Methods

The cost approach yields the value of a property as the cost (based on current dollar expenditures) necessary to create a property with equal utility and functionality as the subject property. The following cost components are typically considered in a cost approach valuation: direct costs, indirect costs, developer’s profit, and entrepreneurial incentive.

 

The cost approach valuation may also consider the various forms of depreciation if the replacement property is superior to the subject property. The various forms of depreciation, besides physical deterioration (“PD”), are functional (including technological) obsolescence, and external (including economic) obsolescence (“EO”).

 

This discussion will focus on the measurement of PD in the cost approach analysis as it relates to EG TPP.

 

As previously mentioned, the cost approach starts with some measure (or metric) of cost. The common types of cost that may be used in an EG TPP cost approach appraisal include the following:

  1. Historical cost (“HC”) as part of an HCLD method analysis,
  2. Reproduction cost new (“RPCN”) as part of an RPCNLD method analysis, or
  3. Replacement cost new (“RCN”) as part of an RCNLD method analysis.

 

The HC represents the cost to create a subject property, based on the applicable historical prices. The RPCN represents the cost to create an exact replica of the property (i.e., “reproduced property”) at current prices. The RPCN relates to the cost to create the functionality and utility of the original property, in a form that is identical to the original property. The RCN represents the cost to create the functionality and utility of the original property, but in a form that may be different from the original property (i.e., “replacement property”).

 

The methods which these various cost metrics may be applied are described next.

 

Historical Cost Less Depreciation Method

The first procedure in an HCLD method analysis is to estimate the HC. Typically, the HC of a property can be obtained from the continuing property record of the property owner. This continuing property record should indicate when such historical costs were incurred and what those costs related to. The result of this procedure is the HC.

 

Historical costs ordinarily include consideration for:

  1. a developer’s profit component related to the property development/construction,
  2. an entrepreneurial incentive component for the property development/construction,
  3. direct costs (e.g., salaries), and
  4. indirect costs, (e.g., overhead, employment taxes and benefits).

 

The second procedure in an HCLD method analysis is to consider and measure all relevant forms of depreciation. The forms of depreciation considered in an HCLD method analysis are (1) PD, (2) FO, and (3) EO.

 

PD represents the diminution in value of assets due to wear and tear and all physical aspects that may diminish life and serviceability.

 

FO represents the diminution in value of assets due to an inability of the asset to sufficiently perform the function for which it is used. FO typically relates to asset super-adequacies, asset inadequacies, excess operating costs, and excess capital costs.

 

EO represents the diminution in value of assets due to external factors. Examples of these factors may include supply/demand changes, changes in law, industry conditions, economic conditions and other external factors. Typically, EO is not considered on an asset-by-asset basis but rather on a total entity basis. That is, EO is typically considered as one overall adjustment that is allocated to each company asset.

 

The third and final procedure in an HCLD method analysis is to apply the various depreciation adjustments to the HC to estimate the HCLD of the property.

 

Reproduction Cost New Less Depreciation Method

The first procedure in an RPCNLD method analysis is to estimate the RPCN. One accepted model for estimating RPCN is by applying a trend factor adjustment to historical costs (i.e., trended historical cost). A trended historical cost adjusts the actual historical costs of creating the property by an appropriate cost adjustment trend factor. The result of this model is the RPCN.

 

As previously mentioned, historical costs ordinarily include consideration for developer’s profit, entrepreneurial incentive, direct costs, and indirect costs.

 

The second procedure in an RPCNLD method analysis is to consider and measure all relevant forms of depreciation, that is, PD, FO, and EO.

 

It is important to note that the amount of PD, FO, and EO measured depends (in part) on the cost metric applied.

 

The third and final procedure in an RPCNLD method analysis is to apply the various depreciation adjustments to the RPCN to estimate the RPCNLD of the property.

 

Replacement Cost New Less Depreciation Method

The RCNLD method may be applied to estimate the value of the property. The RCNLD method relies on the RCN cost metric and considers the same forms of depreciation as are considered in the HCLD and RPCNLD methods (and discussed previously).

 

In some situations, the RCN cost metric may also equal the RPCN cost metric (or even the HC cost metric in some circumstances). This situation is common when the property to analysis is relatively new and, therefore, was developed/constructed using current technology, tools, and practices.

 

The formula for arriving at RCN, based on RPCN is as follows:

RPCN Less: Excess Capital Costs Equals: RCN

 

If the property owner can provide detailed information that can isolate excess capital costs related to the property development/construction, say costs related to the property that was never used in the end-product, the subtraction of those costs can result in the RCN.

 

Regardless of which model is used to estimate RCN, the next procedure is the consideration and measurement of all relevant forms of depreciation. The forms of depreciation considered in an RCNLD method analysis are PD, FO, and EO.

 

The final procedure in an RCNLD method analysis is to apply the various depreciation adjustments to the RCN to estimate the RCNLD of the property.

 

The next section of this discussion will provide a description of the PD measurement analysis.

 


Physical Deterioration Measurement

What is Physical Deterioration?

PD is one component of total depreciation that is considered in a cost approach analysis related to EG TPP. PD is sometimes also referred to as “physical depreciation” but the meaning is consistent for both terms. A common definition of PD is as follows:

physical depreciation. Loss in value or usefulness of a property due to the using up or expiration of its useful life caused by wear and tear, deterioration, exposure to various elements, physical stresses, and similar factors.

 

As presented above, PD may be broadly defined as depreciation of property relating to the physical use of the property.

 

PD is typically the first component of depreciation considered in an EG TPP cost approach analysis. Further, PD is often estimated as a percentage of the property’s cost metric (e.g., a brand-new property with an RCN of $1 million may have a PD percentage of 0%).

 

What is Not Physical Deterioration?

As previously mentioned, there are three components of total depreciation: PD, FO, and EO. FO and EO are separate and distinct from PD.

 

A common definition of FO is as follows:

functional obsolescence. A form of depreciation in which the loss in value or usefulness of a property is caused by the inefficiencies or inadequacies of the property itself when compared to a more efficient or less costly replacement property that new technology might now allow.

 

As presented above, FO is depreciation (or obsolescence) that relates to the loss in value due to inefficiencies or inadequacies of the property, often due to technological changes.

 

EO is commonly referred to as economic obsolescence as opposed to external obsolescence. Economic obsolescence is one component of EO, the other being locational obsolescence. However, for the purposes of this discussion, we’ll limit the discussion to the economic obsolescence component of EO.

 

A common definition of economic obsolescence is as follows:

economic obsolescence. A form of depreciation where the loss in value or usefulness of a property is caused by factors external to the property. These may include such things as the economics of the industry; availability of financing; loss of material and/or labor sources; new legislation or ordinances; increased cost of raw material, labor, or utilities without a compensatory increase in product price; reduced demand; increased competition; inflation or high interest rates; or similar factors.

 

As presented above, economic obsolescence is depreciation that relates to the loss in value due to factors that are external to the property. EO typically is equal to economic obsolescence but may exceed economic obsolescence to the extent that locational obsolescence also exists for the property.

 

Accounting Depreciation Is Not Physical Deterioration

It is important to note that PD (nor FO, EO, or the combination of those three components of total depreciation) is the same as accounting depreciation.

 

Depreciation in an appraisal context relates to the estimated loss in value of a property when compared to a new property, that is, appraisal depreciation measures value inferiority caused by PD, FO, and EO.

 

In the United States, accounting depreciation relates to cost allocation (with some exceptions), and it is not a method of valuation. Accounting depreciation is a mathematical procedure to allow property owners to recover the original cost of a property in installments over a specific period.

 

Factors to Consider When Measuring Physical Deterioration

There are certain factors that the appraiser may consider when measuring the PD related to an EG TPP appraisal. Some of these factors are discussed next.

 

Remaining Productive Capacity

The remaining productive capacity of the EG TPP is one factor that the appraiser can consider in the PD measurement analysis.

 

Theoretically, PD can be discretely measured. For example, a solar panel may be able to generate “x” amount of electricity over its physical life. If the necessary data exists, the solar panel has not been reconstructed or mistreated, and all assets of the same type are equivalent, then a ratio of past production to the expected total production would measure the PD.

 

Condition

Further, the physical condition of the EG TPP may be considered in the PD measurement analysis.

 

Broadly, condition is a factor that must be observed, and may be subjective based on who is making the observation. An appraisal report should discuss the condition of the EG TPP and provide adequate explanation of how such a condition was determined. It is often useful to annotate the condition of a property using a matrix like the one that follows.

 

The above matrix is only meant as a guide. Appraisers may use whatever analytical framework for assessing condition that is appropriate given the nature of their assignment.

 

Curable vs. Incurable

Another factor that the appraiser may consider is the curability (or incurability) of the PD inherent in the EG TPP. PD is curable when it is economically viable to remedy (i.e., fix) the deterioration. That is, PD is curable when remedying the deterioration results in an increase in utility and value that exceeds the cost to cure.

 

By contrast, if the cost to cure is higher than the increase in utility and value from the remedy, then that deterioration is considered incurable.

 

The level (or degree) of curable and incurable PD related to the EG TPP may affect the overall measurement of PD in the appraisal analysis.

 

Other Factors

Various other factors may be analyzed by the appraiser in the EG TPP analysis when measuring PD. Some of these factors may be property specific or industry specific. Certain factors may also include the following:

  • chronological age (“CA”)—number of years since a property was built or placed into service.
  • effective age (“EA”)—apparent age of a property when compared to a new property of its kind; that is, the age indicated by the actual condition of the property. The EA may require consideration of overhauls, rebuilds, refurbishments, level of maintenance, and more. If a property is routinely overhauled, the effective age may be less (possibly significantly so) than its CA.
  • normal useful life (“NUL”)—physical life (usually in years) that a property will be used before its retired. NUL is often based on statistical or actuarial data derived from property studies that consider actual operating conditions. A property’s useful life may be longer than its economic life because a property owner may decide not to retire the property at the end of its theoretical economic life.
  • remaining useful life (“RUL”)—estimated period during which a property of a certain effective age is expected to be used before retirement. Usually, best estimated based on statistical or actuarial data derived from property studies that consider actual operating conditions. RUL may be approximated by subtracting the property’s EA from its NUL. Appraisers should consider statistical or actuarial data before placing all reliance on this procedure.
  • physical life (“PL”)—estimated period (usually measured in years) that a property will physically last before it deteriorates to an unusable condition purely from physical causes. PL does not consider earlier retirement due to FO and EO.
  • remaining physical life (“RPL”)—estimated period that a property of a certain EA is expected to physically last before it deteriorates to an unusable condition purely from physical causes. RPL does not consider earlier retirement due to FO and EO.
  • economic useful life (“EUL”)—estimated period (usually measured in years) that a new property may be profitably employed for its intended purpose. That is, EUL is the period for which a property owner may use a property before it would economically benefit the owner to replace the property with a new property that provides equivalent (or better) utility. EUL does consider the effects of FO and EO and is often less than the property’s NUL.
  • remaining economic life (“REL”)—estimated period that a property of a certain EA is expected to be profitably employed for its intended purpose. REL may be estimated by subtracting the property’s EA from its EUL. Appraisers should consider statistical or actuarial data before placing all reliance on this procedure.

 


Physical Deterioration Measurement Procedures and Models

There are various procedures and models that may be applied to measure PD. It should be noted that the names of these procedures and models may be referred to in numerous ways within the appraisal profession. For example, differences may exist between the naming convention for real property appraisers and TPP appraisers. While some analytical differences may exist between these two appraisal fields, the underlying concepts are the same. Moreover, these procedures and models may also be referred to as methods in professional literature.

 

For example, The Appraisal of Real Estate identifies the following three methods for estimating depreciation in a real property context:

  • market extraction method
  • economic age-life method
  • breakdown method

 

In comparison, Valuing Machinery and Equipment identifies the (1) observation method, (2) formula ratio method, and (3) direct collar measurement method.

 

The six different methods (or models) mentioned above will be described below.

 

Market Extraction Model

The market extraction model relies on comparable sales of properties for which depreciation can be extracted. Due to various reasons (including lack of data), the market extraction model typically measures total depreciation, and not PD alone.

 

The first procedure in the market extraction model is to identify and analyze sales of comparable properties. For EG TPP, it may be difficult or impossible to find sales of comparable properties since valuable EG TPP (such as solar panels, wind turbines, etc.) rarely sell separately from other related properties or businesses.

 

The second procedure is to adjust the comparable sales data and prices for factors such as: property rights conveyed, recent capital expenditures, financing, etc.

 

The third procedure is to remove any value unassociated with the relevant property type. This could include land, buildings, and more.

 

The fourth procedure is to estimate the cost of the property for each comparable identified. This cost should be consistent across the comparables and the subject property (e.g., all based on RPCN, RCN, etc.).

 

The fifth procedure is to subtract the contributory value of all property from the current cost of the comparables to estimate the total dollar amount of depreciation for the property as of the sale date. This extracted depreciation amount relates to PD, FO, and EO.

 

The sixth procedure is to convert the dollar amount of depreciation into percentages by dividing each dollar amount of depreciation by the current cost of the comparables.

 

If the ages of the comparable sales are relatively similar to the age of the subject property, the total depreciation percentage can be reconciled into an appropriate rate for the subject property. This rate is applied to the subject property’s cost to measure the total depreciation.

 

If the ages of the comparable sales are not relatively similar to the age of the subject property, an annual depreciation rate should be developed based on the calculated percentage of depreciation from the comparables. It should be noted that this procedure relies on an estimate of the EUL of the subject property. Moreover, this procedure may not be reliable by itself since both FO and EO are not necessarily related to the age of a property.

 

Regardless of the age of the subject property and the comparables used, the reader should note that the market extraction model measures total depreciation and not PD, alone. That is, the PD measurement is subsumed into a total depreciation measurement. Figure 1 presents a summary example of the market extraction model.

 

As presented in figure 1, the market extraction model indicates a total depreciation amount between 26.1% and 28.6%. Figure 1 assumes no significant age difference between the comparables and the subject property. Further, we note that the depreciation measurement is inclusive of both FO and EO. That is, PD is only measured indirectly.

 

Economic Age-Life Model

Much like the market extraction model, the economic age-life model measures total depreciation, that is, it measures PD only indirectly by subsuming PD into total depreciation. The economic age-life model relies on fundamental age-life relationships and uses the concepts of EA and EUL to measure total depreciation.

 

In the economic age-life model, total depreciation is measured by calculating the ratio of the EA of the subject property to the EUL of the property. Figure 2 shows this calculation below.

 

As presented in figure 2, the economic age-life model is simple in its application and results in a measurement of the total depreciation of a property.

 

The first procedure is to determine the EUL of the subject property, usually through a combination of research of similar properties to the subject property as well as an analysis of relevant data and information related to the subject property. The EUL of the subject property will usually be listed in terms of years.

 

The second procedure is to determine the EA of the subject property. Similar to the EUL procedure listed above, the EA may be determined through a combination of comparable property research and analysis of subject property data and information. Moreover, a physical observation of the subject property may be performed.

 

The third procedure is to divide the EA by the EUL of the subject property. The resulting ratio is multiplied by the subject property’s cost new (e.g., RCN) to estimate total depreciation.

 

For example, let’s assume an EG TPP owner’s valuable TPP has (through the research and analysis of published engineering studies) a determined EUL of 30 years. Moreover, let’s assume that this EG TPP was placed into service about 1 year prior to the analysis date and has not undergone any notable overhauls. In this instance, the appraiser determines that the TPP’s CA is equal to its EA, that is, 1 year.

 

The appraiser divides the EA of 1 by the EUL of 30 to measure a total depreciation ratio of 3.33%. The appraiser then multiplies this 3.33% by the RCN of the TPP (assumed) of $250,000 to measure total depreciation of $8,333 (rounded).

 

As demonstrated above, the economic age-life model is relatively easy to apply and understand. However, this model is limited in a few ways.

 

First, depreciation in this model is measured on a straight-line basis over the course of a property’s life, which may or may not accurately capture depreciation accurately as of a specific point in time.

 

Second, like the market extraction model, the economic age-life model does not measure PD (or FO or EO) separately.

 

Third, the economic age-life model (and the market extraction model) does not provide for any differentiation between short-lived and long-lived component PD differences. Because depreciation is measured in the aggregate, varying amounts of PD related to short-lived components and long-lived components are subsumed into a total measurement. For example, while the total TPP depreciation may be 20% as of a specific date, some components may be 90% depreciated while others may be 5% depreciated. Neither the economic age-life model nor the market extraction model allow for separately accounting for the depreciation of short-lived vs long-lived components.

 

[H3] Breakdown Model

The breakdown model is a comprehensive model to measure all forms of depreciation separately. That is, the breakdown model allows the appraiser to measure PD, FO, and EO each.

 

Common techniques to apply the breakdown model include the following:

  • estimation of the cost to cure any curable PD (e.g., deferred maintenance) and curable FO.
  • application of an extraction model or age-life model to measure incurable PD for both the TPP’s short-lived and long-lived components.
  • measure FO and measure EO

 

In the breakdown model, as it pertains to PD, the appraiser may consider PD as it relates to (a) deferred maintenance, (b) short-lived PD, and (c) long-lived PD. Typically, deferred maintenance is considered curable while both short-lived and long-lived PD is considered incurable because they are not physically or economically possible to cure.

 

Deferred maintenance often relates to items in need of immediate repair on the “as of” date of the appraisal. Examples of deferred maintenance for EG TPP may include a single (or a few) broken panels in a solar energy facility, a broken turbine blade in a wind energy facility, and the like. The deferred maintenance is measured as the cost to cure the item or restore it to a new or reasonably new condition.

 

Incurable PD for short-lived items relate to items that are not ready to be replaced but will be replaced in the foreseeable future. Typically, incurable PD for short-lived items is based on age-life ratios which consider the current cost new of each item and that items respective age and life. The age used in this analysis is typically the EA. The life used in this analysis is typically the PL. The use of EA and PL ensure that the age-life analysis relates only to PD.

 

Incurable PD for long-lived items is considered and measured in similar ways to the short-lived items. The primary difference being the ages and lives used in the age-life analysis.

 

(We note that the separate measurement of both FO and EO is beyond the scope of this discussion. There are various models and factors that the appraiser may consider when measuring FO and EO.)

 

Observation Model

In the observation model, the appraiser relies primarily on their professional experience to measure PD. Usually, the observation model includes comparisons of the subject property and similar properties to new properties. This comparison includes consideration of wear and tear that can be compared across properties and converting that wear and tear into a PD percentage.

 

Moreover, the observation model may include discussions between the appraiser and the property operator who possesses detailed and specific knowledge of the subject property’s condition (e.g., regarding internal corrosion on components).

 

Based on these comparisons and discussions, the appraiser may develop an opinion as to the amount of PD inherent in the subject property.

 

Formula Ratio Model

Another model which may be used is the formula ratio model. The formula ratio model is similar to the age-life models (e.g., the economic age-life model) discussed previously. For the purposes of this discussion, we’ll discuss two formula ratio models: the (a) Use / Total Use Model and the (b) Age / Life Model.

 

Use / Total Use Model

In the use / total use model, the appraiser considers the actual use of the subject property. As it pertains to EG TPP, the actual use of the TPP may provide a useful indication of PD. That is because (generally) as EG TPP is used, it physically wears down. That is, the more an EG TPP is used, the more PD it will experience.

 

The use / total use model may be limited based on the availability of production data and reports. As an example, many natural gas-fired power plants produce operating reports which indicate the energy produced, the energy used, and other metrics (such as heat rate) on a daily, weekly, monthly, and/or yearly basis.

 

In the simplest form, the use / total use model may be summarized as follows:

As presented in Figure 3, given some unit of measurement (say, megawatt hours or MWh), this ratio measures a property’s use at some point in time compared to the total expected use for the property’s life.

 

For example, if a wind turbine generates 12.5 MWh of electricity every day of the year, it would generate about 4,563 MWh of electricity a year. If that same turbine is expected to last 25 years of continuous use, its expected total use would be 114,063 MWh, assuming consistent operation. In this example, let’s assume the wind turbine has been used 3 years at this rate so far. So, the turbine has generated 13,688 MWh on a total use of 114,063 MWh, so the wind turbine is 12% depreciated due to PD, alone.

 

We note that the above assumes that the property’s use is worth the same in later periods of use compared to earlier periods of use. This may not be the case due to increases in operating costs or reductions in operating efficiency with age. The prior example also excludes any downtime for repairs & maintenance or other operational changes.

 

Furthermore, the use / total use model can create a contradiction when the TPP reaches its supposed total use (in our example, 114,063 MWh) and it is in fact, still operating. In this situation, the total use is altered to equal the total use to the appraisal date (114,063) plus the RUL (measured in MWh for our example). If the wind turbine is expected to last another 24,000 MWh of use, the new PD measurement would be calculated as 114,063 divided by 138,063 multiplied by 100, or 83% depreciated.

 

Age / Life Model

The age / life model has been described in the context of measuring total depreciation (i.e., the economic age-life model) earlier in this discussion. The age-life relationship may also be applied to measure PD, only.

In its simplest form, the age / life model may be applied to measure PD based on the following:

 

 

In similar situations to the one noted in the use / total use model section of this discussion (where the TPP reaches its supposed physical life and is still operating), the age / life model may be adjusted as follows:

One advantage of the age / life model is that EA may often be estimated using the property owner’s continuing property record.

 

The EA may be estimated by weighting the investment in a property or a group of properties. The weighting should consider additions or deletions made over the property’s life. The procedure can be used for a single asset (if the records are sufficiently detailed) or, more commonly, for groups of properties.

 

Direct Dollar Measurement Model

The final model included in this discussion is the direct dollar measurement (“DDM”) model. Where the use / total use model and the age / life model are most appropriate for newer to midlife properties, the DDM model may be helpful for older properties or for properties where significant expenditures are necessary to solve physical problems.

 

The DDM model is similar to the considerations of curable PD (or deferred maintenance) discussed earlier. In the DDM model, the appraiser identifies the specific properties or components of a property that need to be replaced and are curable. The mathematical sum of the cost to cure these items (deferred maintenance) is the direct dollar expenditure related to the curable PD.

 

The incurable components of PD are then measured based on the application of other models such as the use / total use model or the age / life model. The sum of the DDM model and these other models is equal to the PD measurement.

 


Summary and Conclusion

This discussion focused on the measurement of PD in a cost approach analysis to value EG TPP.

 

Specifically, this discussion summarized what EG TPP is, why EG TPP is appraised, and how EG TPP is appraised. This discussion also presented various cost approach appraisal methods that may be applied to appraise EG TPP. Lastly, this discussion provided specific guidance related to the measurement of PD in an EG TPP appraisal context.

 


References

American Society of Appraisers. Valuing Machinery and Equipment: The Fundamentals of Appraising Machinery and Technical Assets, 4th Ed. Reston, VA, American Society of Appraisers, 2020. Page 546.

Appraisal Institute. The Appraisal of Real Estate, 15th Ed. Chicago, IL, Appraisal Institute, 2020. Page 559.

 

 

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