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Equivalent Uniform Annual Cost: A New Approach to Roof Life-Cycle Analysis

May 15, 2007

INTRODUCTION
Life Cycle Cost Analysis and its
Problems
Interest in life cycle cost analysis (LCCA)
appears to be increasing among building
owners and designers. Some of this attention
may be attributed to a related and
growing interest in “green” building technologies
that rely in part on the durability
and sustainability of building materials to
minimize environmental impacts. The
increasing economic sophistication required
to finance modern construction projects
may also be a contributing factor.
Finally, new federal requirements for public
construction may be stimulating the growing
interest in LCCA.
Regardless of specific causes, however,
the growing interest in life cycle costing is
clearly reflected in changing attitudes within
the construction industry. According to a
recent survey conducted by Building Design
& Construction (“White Paper on
Sustainability,” 2003), an overwhelming
majority of the 70,000 building professionals
surveyed agreed that building materials
should be evaluated first and foremost on
the basis of life cycle cost.
Unfortunately, although many building
professionals are increasingly interested in
learning about the life cycle costs of key
building components, few tools currently
exist to help them compare the almost
unlimited choices of competing building
materials. In the case of commercial roofing
systems, designers and owners must select
from a wide variety of roofing membranes,
each with an equally wide choice of design
and component options and warranted service
lives, varying from five to over 30 years.
The sheer complexity of modern roof system
choices obviously makes it very difficult to
develop simple analytical tools. However,
the lack of effective life cycle cost programs
also may be linked to other factors.
Problem 1: How Long Do Roofs Last?
The first challenge to effective LCCA is
the lack of consensus regarding the service
life of modern commercial roofing systems.
As an example, two of the most comprehensive
studies of service life conducted in the
roofing industry arrived at sharply different
conclusions regarding the longevity of various
roofing systems. Based on a survey of
over 400 roofing contractors, Carl Cash
(1997) concluded that traditional multipleply
asphalt roofing systems could be expected
to provide an average service life of 17.4
years, while EPDM roofing systems could be
expected to provide an average service life of
14.1 years.
In contrast to the Cash study,
Schneider and Keenan (1997) surveyed over
20,000 actual roofing installations and concluded
that the average service life of
asphalt multiple-ply roofs was 13.6 years,
while EPDM roofs provided an average service
life of 17.7 years. Using the Cash study
as a basis for LCCA may favor the use of
multiple-ply asphalt roofing systems, while
the data from the Schneider and Keenan
study may favor single-ply systems.
How can the concerned building owner
reconcile such conflicting estimates of roof
service life? First, some of this apparent
conflict may be due to the use of a statistical
average. Within the population of both
the asphalt and single-ply roofs, there may
be roof systems that perform much better
than the average, perhaps well in excess of
20 years. In addition, these better-performing
roof systems may have included a variety
of design and component augmentations
that contributed to extended service
life.
The published warranty offerings of
roofing manufacturers may offer additional
insight into the relationship between roof
system design and roof longevity. Based on
a review of the NRCA Low-Slope Roofing
Materials Guide (2005), roofing systems
appear to exhibit a consistent upgrading of
components and application practices as
the term of the warranty increases. As an
example, almost all 20-year, multiple-ply,
asphalt roofing systems require the use of
high-strength, Type VI ply felts and redundant
flashing details, while systems with
lower warranty lengths allow the use of
lower-strength felts and less redundant
flashings. In a similar manner, the thickness
of single-ply roofing membranes tends
to increase as the warranty term increases
(from 45 mils at 15 years; 60 mils at 20
years; and 90 mils at 30 years); while seaming
and flashing requirements likewise
increase as the warranty term is lengthened.
Although the nominal warranty term
and relative durability of roofing systems
J A N U A RY 2007 I N T E R FA C E • 5
appear to be related, there are no studies
currently available to clearly mesure this
relationship. However, the use of nominal
warranty length and the system augmentation
associated with the warranty period
may offer a reasonable starting point.
Accordingly, this study will use typical
manufacturer warranty length and associated
system specifications as a basis for
comparison.
Problem 2: How Much Do Roofs Cost?
The second hurdle to effective LCCA in
roofing involves the actual costs associated
with installing, maintaining, and replacing
a roofing system. Surveys involving mock
roofing bids conducted by the author over
the past 20 years indicate the price of identically
specified roofs may vary by as much
as 25% to 75% across the United States.
These price differences may be attributed to
different labor and productivity rates as well
as regional differences in roof system selection.
Some of the variability in roof system
costs can be addressed by combining surveys
of actual contractor bids with rankorder
price surveys, which emphasize the
relative rather than the absolute difference
between roofing systems.
As an example, contractor price surveys
conducted by the author indicate that a typical
ballasted EPDM roofing system may
vary in price from a little over $2.00 to more
than $4.00 per square foot; while a similar,
fully-adhered EPDM roof may vary between
$2.50 and $6.00 per square foot. However,
when these two systems are ranked by contractors
in terms of relative cost, adhered
systems tend to command a relatively consistent
cost premium of 25% to 30% above
a ballasted system.
By asking the same contractors to rank
a variety of roofing systems, a consistent
cost differential can be obtained for comparison
purposes, even though the actual
costs may vary significantly from contractor
to contractor. Accordingly, this study has
employed cost estimates based on commonly
available national construction data, but
these costs will then be adjusted based on
rank-order estimates from a survey of roofing
contractors.
Estimates of annual maintenance costs
also may vary from survey to survey.
Respondents to Schneider and Keenan’s
1997 survey reported annual maintenance
costs running from $0.14 to $0.19 per
square foot, while respondents to Cash’s
1997 survey identified these costs as varying
from $0.09 to $0.15. Because even the
highest of these annual estimates is relatively
low in comparison to initial installation
costs, the present study will apply the
highest estimate of maintenance costs, or
$0.20 per square foot, to all roof systems in
this study.
Problem 3: How Does One Compare Roof
Systems With Different Service Lives?
The final hurdle to effective LCCA is
related to the common methodology used to
calculate life cycle cost. Accurate life cycle
costing requires that all anticipated costs be
converted to present value. These costs
should include the initial cost of installation,
periodic maintenance expenses, and
eventual removal and replacement costs:
LCC = IC + MCPV + RCPV
Where:
LCC = Life cycle cost ($/sq. ft.)
IC = Initial cost
MCPV = Present value of all future
maintenance costs
RCPV = Present value of future removal
and replacement costs
This approach requires that all anticipated
future costs be stated as the amount
of money needed today to pay the future
costs, given an anticipated discount rate or
cost of money. In order to allow for a consistent
comparison among alternative products,
this present value must be calculated
over a defined “study period.” Typically, this
study period should coincide with the
investment horizon of the owner. For example,
if a building owner expects to occupy a
building for the next 20 years, the study
period for life cycle cost analysis should
also be 20 years.
Although the use of a common study
period allows for an “apples-to-apples” comparison
of different roofing systems, it may
fail to account for several important economic
issues. In the previous example, even
if a building owner expects to occupy a
building for 20 years, the same building
owner will also expect to sell the building at
the end of the 20-year period. If the roof on
the building requires replacement after 20
years, the owner may end up paying for a
new roof, either by agreeing to replace it
prior to transfer to a new owner, or through
a discount in the selling price. Conversely,
if the roof on the building is considered to
be suitable for an additional 20 years of
6 • IN T E R FA C E J A N U A RY 2007
use, the building owner will suffer little if
any loss of value in the sale of the building.
In either case, the arbitrary 20-year study
period may misrepresent the actual costs of
ownership experienced by the building
owner.
The use of an arbitrary study period
also makes it difficult to effectively compare
the value of roofing systems with different
estimated service lives. As an example, the
true value of a 15-year roof may be understated
as compared to a 20-year roof if a 15-
year study period is selected that provides
no economic value for the additional five
years the 20-year system offers. Conversely,
the true value of the 20-year roof could be
significantly overstated if a 20-year study
period is selected that requires the complete
replacement of the 15-year roof but then
understates the long-term value of the new
replacement roof.
Both of these problems can be resolved
by deducting the residual value of the roof
from the life cycle cost calculation, but this
may add unnecessary complexity to what
started out to be a fairly simple statement of
present value. A more effective alternative
may involve the use of Equivalent Uniform
Annual Cost (EUAC) in lieu of standard
LCCA. Unlike LCCA, EUAC allows for the
use of differing study periods by expressing
costs as an annualized estimate of cash flow
instead of a lump-sum estimate of present
value:
EUAC = (A/P, i, n)
Where:
EUAC = Equivalent uniform annual cost
A/P = Annualized cash flow or payment
($/sq. ft.)
i = annual interest rate (%)
n = service life (years)
In simpler terms, Equivalent Uniform
Annual Cost is the “payment” required to
fund the Life Cycle Cost over the service life.
This “payment” is calculated using the same
principles as mortgage financing. The Life
Cycle Cost represents the “purchase price”
and the Estimated Uniform Annual Cost represents
the “mortgage payment” needed for
a given interest rate to fully fund the Life Cycle
Cost by the end of the stated service life.
Because EUAC costs are stated as an
annualized amount, it becomes possible to
compare roof systems with different service
lives.
ROOF LIFE CYCLE ANALYSIS USING ESTIMATED
UNIFORM ANNUAL COST (EUAC)
Step 1: Identifying Alternatives and
Timeframes
Using the NRCA 2004-05 Low-slope
Roofing Materials Guide (2005) as a reference,
a wide selection of roofing specifications
was identified based on warranty
length. In addition, specifications incorporated
all major categories of low-slope commercial
roofing systems, including traditional
asphalt, modified bitumen, EPDM,
and thermoplastic systems. In all cases,
these roofing designs increased in redundancy
and augmentation as the warranty
term increased. As an example, a typical
15-year EPDM specification may allow the
use of a 45-mil membrane, while 20-year
and 30-year designs require minimum 60-
mil and 90-mil membranes, respectively. In
a similar manner, a typical 15-year modified
bitumen system may allow the use of a nonmodified
fiberglass base sheet, while a typical
20-year system requires a modified
asphalt base sheet.
For the purposes of this study, the nominal
warranty period was also designated to
be the service life period for each roofing
system. It is very likely that the actual ser-
J A N U A RY 2007 I N T E R FA C E • 7
vice life may exceed the warranted service
life, but the variation based on warranty
length allows for relative comparison among
the systems. The roof system specifications
and warranty periods selected for the study
are identified in Table 1.
Step 2: Identifying and Calculating Costs
INITIAL COST
As mentioned in the introduction of this
study, initial costs were developed using a
two-pronged approach of 1) establishing initial
costs using commonly available industry
construction estimating data, and 2)
modifying these initial costs using rankorder
data derived from a survey of roofing
contractors. Initial costs were established
using Means Building Construction Cost
Data 2005. This initial cost data were then
adjusted in accordance with average rankings
as identified in a survey of 50 commercial
roofing contractors located throughout
the United States who were asked to list the
rank order of each system in terms of
installed cost. The adjusted costs for each
system as determined by this method are
summarized in Table 2.
REPLACEMENT COST
In order to develop an effective life-cycle
cost comparison, the cost for the eventual
replacement of the roofing system must be
determined. Unlike the initial roof installation,
replacement cost will include both the
equivalent cost of the initial installation as
well as the tear-off and disposal costs of the
original roof. Although costs for replacement
after tear-off and disposal can be calculated
using the original installation cost
values, tear-off and disposal costs must be
determined independently.
One of the most comprehensive and
consistent estimates of disposal costs can
be found in a study of roofing durability
conducted by Cash in 1997. Based on a
survey of roofing contractors, Cash estimated
that the removal and disposal costs for
the types of roofing systems included in the
present study varied between $0.83 and
$0.98 per square foot. Because these costs
appear to vary within a relatively narrow
range that may have little significant impact
on the outcome of the life cycle cost calculation,
the current study assigned a uniform
value of $1.00 per square foot for the
removal and disposal costs of each system
studied.
In addition, this assigned removal and
disposal cost was converted to present
value in order to adjust for the timing of the
replacement. In effect, this present value is
Table 2: Roof system specification and initial cost.
Infrared Roof Moisture Scans
High resolution short-wave FLIR Thermacam for accurate
scans on reflective surfaces.
Survey results marked on the roof surface and verified. Full
reports with CAD drawings on hard copy or via e-mail.
Infrared Inspections, Inc.
1-800-543-2279 www.rci-mercury.com
8 • IN T E R FA C E J A N U A RY 2007
Table 1: Roof system specification and warranty/service life.
equal to the amount of “cash on hand” that
can grow at a given interest rate into the
amount of “future cash needed” to fund the
roof replacement. As an example, using an
annual discount rate of 5%, the cash on
hand or present value necessary to replace
a roof in 15 years is equal to 56% of the
future cash needed, while the present value
of a roof that must be replaced after 20
years is equal to 46% of the future cash
needed. (Please note that a discount rate of
5% was selected, as currently recommended
by the Federal Energy Management Program.
See Fuller & Rushing, 2005.) The
present value or “cash on hand” replacement
costs for each roof system specification
are summarized in Table 3.
MAINTENANCE COST
As mentioned previously, annual maintenance
costs were based on data from
Schneider and Keenan (1997) and Cash
(1997) that identified annual maintenance
costs as varying between $0.09 and $0.19
per square foot. To simplify this current
study, these costs were rounded up to
$0.20 for every roofing system. In addition,
the total maintenance cost for each roofing
system was converted to present value (or
“cash on hand”) by calculating the discounted
cash flow of the annual costs for
the warranty period. As an example, the
cash on hand required to fund a $0.20
annual maintenance cost for a 15-year warranty
period is $2.18, while the same present
value for a 20-year warranty period is
$2.63. These present value maintenance
costs are summarized in Table 4.
Step 3: Calculating Life Cycle Cost
Once the present values of all initial,
maintenance, and replacement costs have
been established, the calculation of Life
Cycle Cost is simply accomplished by combining
these costs into a single amount.
Table 5 summarizes all Life Cycle costs for
all roofing systems identified in this study.
Step 4: Calculating Equivalent Annual
Uniform Cost
The problem with a simple life cycle cost
model becomes apparent in Table 5. The life
cycle cost of many 15- and 20-year roofing
systems is very similar, and in some cases,
the life cycle cost of some 15-year systems
is lower than the corresponding 20-year
system. As an example, the present value
cost of a 15-year modified bitumen system
is only $7.81 per square foot, while the
more durable and redundant 20-year modified
bitumen system has a higher cost of
$8.49 per square foot.
The problem, of course, is that the 20-
year system provides a longer service life
than the 15-year system, and the value of
this additional service life can only be evaluated
by annualizing the costs associated
with both systems. This can be accomplished
by expressing the costs of both
systems as an annual cash flow or “payment”
for the expected life of each system.
This annualization of life cycle costs is
achieved using the Equivalent Uniform
Annual Cost (EUAC) method, as previously
identified in this article. Using the same
5% discount rate as in the LCCA calculation,
the EUAC for each roofing system is
summarized in Table 6 and graphically
compared in Chart 1.
(1) Present Value Adjustment Factor based on a 5% annual percentage rate applied for the warranty period or service
life of the system. As an example, the initial present value or “up-front” funding necessary to cover annual
maintenance costs for a 15-year service life requires 10.9 times the annual maintenance cost, while the “up-front”
funding for a 20-year service life requires 13.15 times the annual maintenance cost.
Table 4: Roof system, service life, and maintenance cost.
10 • I N T E R FA C E J A N U A RY 2007
(1) The Present Value Discount Factor is based on a 5% annual percentage rate applied for the length of the service
life/warranty period. As an example, a 15-year service life requires 56% or 0.56 of the replacement cost “up
front” as the present value of the future cost, while a 20-year service life requires only 46% or 0.46 of the cost “up
front,” due to the longer time period to accumulate interest on the initial amount.
Table 3: Roof system, service life, and replacement cost.
Step 5: Analyzing Results: The EUAC
Method of Life Cycle Costing
LONG-TERM VALUE OF SPECIFICATION
ENHANCEMENTS
The EUAC method of life cycle costing
may help to identify the real benefits inherent
in roof systems that have been
enhanced to extend service life. Based only
on a comparison of the basic LCC of 15- and
20-year roofing systems in this study, the
benefits of enhanced specification might be
questioned because the LCC costs were so
close. However, the EUAC cost method identifies
that 20- and 30-year systems may
hold an advantage more than sufficient to
justify the additional up-front expense. As
an example, the EUAC calculations indicate
that the 20-year roofing systems in the
study may offer long-term costs at 10% to
15% lower than their 15-year counterparts.
In addition, the EUAC of the single 30-year
system studied offers a cost savings of 12%
beyond a similar 20-year system.
The EUAC data in the present study
appear to support the proposition advanced
by many roof consultants that the investment
in enhanced system design may provide
a real economic return to the building
owner. As perhaps best stated by Richard
Boon (2001) in Roofing Contractor magazine,
“…the higher up-front costs of premium
roofing systems can be fully justified
through long-term savings.”
ECONOMIC SIMILARITY OF MAJOR
ROOFING SYSTEMS
The EUAC method also suggests that
the major types of commercial roofing systems
used throughout the United States
today provide a very similar economic benefit.
Although roofing industry professionals
may hold widely divergent opinions regard-
Table 5: Roof system life cycle cost (LCC).
Note: Equivalent Uniform Annual Cost is the “payment” required to fund the Life Cycle Cost over a service life.
This “payment” is calculated using the same principles as mortgage financing. The Life Cycle Cost represents the
“purchase price” and the Estimated Uniform Annual Cost represents the “mortgage payment” needed for a given
interest rate to fully fund the Life Cycle Cost by the end of the stated service life.
Table 6: Roof system Equivalent Uniform Annual Cost (EUAC).
Test your knowledge of coatings with the following
questions, developed by Donald E. Bush Sr.,
RRC, FRCI, PE, chairman of the RRC Examination
Development Subcommittee.
1. What are the five
major reasons why
galvanized steel is
painted?
2. What is the most
common reason
for painting
galvanized steel?
3. Which three basic
components do
protective coatings
contain?
4. What are the three
mechanisms by
which coatings
protect a
substrate?
5. Which structural
design features
may contribute to
coating failure?
Reference: Corrosion and Coating, The
Society for Protective Coatings
Answers on page 12
J A N U A RY 2007 I N T E R FA C E • 1 1
ing the relative performance of EPDM, thermoplastic,
modified bitumen, and built-up
roofing systems; the relative similarity of
these systems in terms of EUAC may indicate
that no single system offers an unassailable
economic advantage. Perhaps this
is why each of these major approaches to
roofing enjoys a respectable share of today’s
commercial roofing market.
EDITOR’S NOTE: A copy of the Excel workbook
used to calculate life cycle cost using the
Equivalent Uniform Annual Cost (EUAC)
method may be obtained by e-mailing Jim
Hoff at hoffjames@firestonebp.com. This
paper was originally presented at the RCI
21st International Convention and Trade
Show in Phoenix, Arizona, in March 2006.
REFERENCES
Boon, R. A., “Better Roofs are Less Expensive,”
Roofing Contractor, November
2001.
Cash, C.G., “The Relative Durability of
Low-slope Roofing,” Proceedings of
the Fourth International Symposium
on Roofing Technology, pgs. 119-
124. National Roofing Contractors
Association: Rosemont, IL, 1997.
Fuller, S. K., and Rushing, A. S., “Energy
Price Indices and Discount Factors
for Life-cycle Cost Analysis,”
April 1, 2005 to March 31, 2006, Annual
Supplement to NIST Handbook
135 and NBS Special Publication 709
(NISTIR 85-3273-20). Gaithersburg,
MD: National Institute of Standards
and Technology, 2005.
2004-05 Low-slope Roofing Materials
Guide, Rosemont, IL: National Roofing
Contractors Association, 2005.
Means Building Construction Cost Data,
Kingston, MA: R.S. Means, 2005.
Schneider, K.G., and Keenan, A.S, “A
Documented Historical Performance
of Roofing Assemblies in the United
States, 1975-1996, Proceedings of
the Fourth International Symposium
on Roofing Technology, pgs. 132-
137, Rosemont, IL: National Roofing
Contractors Association, 1997.
“White Paper on Sustainability,” Building
Design & Construction, November
supplement, 2003.
Chart 1: Equivalent Uniform Annual Cost (EUAC) of Roofing Systems
Answers to questions from page 11:
1. • Synergistic effect
• Aesthetics
• Added protection
• Color coding
• Safety markings
2. Aesthetics
3. • Pigment – provides body.
• Binder – provides
important film properties.
• Solvent – reduces viscosity
for easy application.
4. • Barrier protection.
• Inhibitive pigment
protection.
• Sacrificial protection.
5. • Water traps – configurations
with pockets
that collect water.
• Sharp edges – coatings
retract from sharp edges,
leaving only film.
• Crevices – at bolted seams
and back-to-back angle
iron.
• Dissimilar metals –
accelerated corrosion of
more chemically reactive
metal.
• Areas difficult to access –
lack of sufficient coating.
Jim Hoff has served in a variety of technical and management
roles in the construction industry for over 30 years.
Currently, Mr. Hoff is vice president of technology and product
development for Firestone Building Products Company.
He received an A.A.S. from Indiana Vocational Technical
College, a B.A. in psychology from Indiana University, a M.S.
in management from Indiana Wesleyan University, and currently
is completing his doctoral dissertation for a D.B.A. in
management from the University of Sarasota. Mr. Hoff serves
as a board member of the RCI Foundation.
James Hoff
12 • I N T E R FA C E J A N U A RY 2007