+ All Categories
Home > Documents > EFCOG CES Escalation Rates 4-28-2010

EFCOG CES Escalation Rates 4-28-2010

Date post: 04-Apr-2018
Category:
Upload: charlesdayan
View: 214 times
Download: 0 times
Share this document with a friend

of 59

Transcript
  • 7/29/2019 EFCOG CES Escalation Rates 4-28-2010

    1/59

    Handling Multi-year Cost Data:

    Index Numbers, Escalation and

    DiscountingFrancis Frank Hall

    DOE / Office of Cost Analysis (CF-70)

    April 2010

  • 7/29/2019 EFCOG CES Escalation Rates 4-28-2010

    2/59

    Multi-year Cost Data: Issues

    Multi-year cost streams must often be adjusted for tworeasons:

    Escalation (inflation)changes in the price level Future prices are likely to be higher

    More dollars must be budgeted to buy something farther inthe future

    Discountingadjusting for the time value of money Even if there were no escalation, a dollar today is worth

    more than a dollar next year

    22

    We will address these two issues in turn

  • 7/29/2019 EFCOG CES Escalation Rates 4-28-2010

    3/59

    Outline

    Index Numbers

    Escalation Assumptions made by the DOE

    Office of Cost Analysis

    Discounting and Analysis

    3

  • 7/29/2019 EFCOG CES Escalation Rates 4-28-2010

    4/59

    Escalation and Index Numbers

    Escalation rates are normally based on index numbers.

    Some contracts contain an economic rate adjustment

    clause based upon an index to protect the contractors

    from significant changes in prices.

    Social Security, Federal Retired Pay, Medicare, and some

    other federal programs are adjusted annually by an index

    (normally the Consumer Price Index) to protect the

    recipients from inflation.

    To fully understand escalation rates, one needs to have a

    basic understanding of index numbers

    4

  • 7/29/2019 EFCOG CES Escalation Rates 4-28-2010

    5/59

    Index Numbers Outline

    Describe the term index.

    Understand the difference between an

    unweighted (simple) and a weighted index.

    Construct and interpret Laspeyres, Paasche,and Fisher price indices.

    Understand a value index.

    Explain how the Consumer Price Index is

    constructed and interpreted.

    5

  • 7/29/2019 EFCOG CES Escalation Rates 4-28-2010

    6/59

    Index Numbers

    An index number measures the relative change inprice, quantity, value, or some other item of

    interest from one time period to another.

    A simple index number measures the relativechange in just one variable.

    A weighted index number measures the relative

    changes in more than one variable.

    6

  • 7/29/2019 EFCOG CES Escalation Rates 4-28-2010

    7/59

    Types of Indices

    Unweighted/Simple Indexes

    Weighted Indexes

    Laspeyres Price Index

    Paasche Price Index Fishers Price Index

    Value Index

    Special Purpose Index

    Consumer Price Index

    Producer Price Index

    7

  • 7/29/2019 EFCOG CES Escalation Rates 4-28-2010

    8/59

    Simple Index Numbers

    8

    According to the Energy Information Administration (EIA),In 2000 the average price of a gallon of unleaded regulargas was $1.51.In 2007 it was $2.80.What is the index forthe price of a gallon of unleaded regular gas for 2007based on 2000 prices?

    P = Average Price of a Gallon of Gas in 2007 (100) =

    Average Price of a Gallon of Gas in 2000

    P = $2.80 (100) = 185.4

    $1.51

    This is an example of a simple index number

  • 7/29/2019 EFCOG CES Escalation Rates 4-28-2010

    9/59

    Weighted Index Numbers

    9

    An index can be used compare the cost of living in onelocation to another. Consider the following weights:15% Food30% Housing6% Utilities

    10% Transportation7% Health32% Miscellaneous (include other than the above)

    How does the cost of living in Idaho Falls, ID comparewith Aiken, SC and Alexandria, VA?

  • 7/29/2019 EFCOG CES Escalation Rates 4-28-2010

    10/59

    Weighted Index Numbers

    10

    An index can compare the cost of living in one location toanother. Consider the following indices

    City Cost of Living Index

    Idaho Falls, ID $60,000 90Aiken, SC 86

    Alexandria, VA 138

    If the cost of living in Idaho Falls, ID is $60,000 a

    year, how does that compare to the cost of living inAiken, SC and Alexandria, VA?

  • 7/29/2019 EFCOG CES Escalation Rates 4-28-2010

    11/59

    Weighted Index Numbers

    11

    An index can compare the cost of living in one location toanother. Consider the following indices

    City Cost of Living Index

    Idaho Falls, ID $60,000 90Aiken, SC $57,333 86

    Alexandria, VA 138

    How does the cost of living in Idaho Falls, IDcompare with Aiken, SC and Alexandria, VA?

    Aiken, SC = $60,000 * (86/90)= $57,333

  • 7/29/2019 EFCOG CES Escalation Rates 4-28-2010

    12/59

    Weighted Index Numbers

    12

    An index can compare the cost of living in one location toanother. Consider the following indices

    City Cost of Living Index

    Idaho Falls, ID $60,000 90Aiken, SC $57,333 86

    Alexandria, VA $92,000 138

    How does the cost of living in Idaho Falls, IDcompare with Aiken, SC and Alexandria, VA?

    Aiken, SC = $60,000 * (86/90) = $57,333

    Alexandria, VA = $60,000 * (138/90) = $92,000

  • 7/29/2019 EFCOG CES Escalation Rates 4-28-2010

    13/59

    Why Convert Data to Indices?

    An index is a convenient way to express a change in a diverse groupof items.

    The Consumer Price Index (CPI) encompasses about 400 items

    including golf balls, lawn mowers, hamburgers, funeral services, and

    dentists fees. Prices are expressed in dollars per pound, box, yard,

    and many other different units. Only by converting the prices of

    these many diverse goods and services to one index number can

    the federal government and others concerned with inflation keep

    informed of the overall movement of consumer prices.

    Converting data to indexes also makes it easier to assess the trendin a series composed of exceptionally large numbers.

    13

  • 7/29/2019 EFCOG CES Escalation Rates 4-28-2010

    14/59

    Why Convert Data to Indices?

    14

    Total U.S. national debt for FY 2008 was $9,985,000,000.The estimated total national debt for FY 2009 is$12,867,500,000. This increase of $2,882,500,000is significant. Yet if the FY 2009 debt is expressed asan index based on the FY 2008 debt, the increase is

    Index = (2009 National Debt /2008 National Debt)*100

    Index = (12,867,500,000/9,985,000,000)* 100 = 128.9

    A 28.9% increase is much easier to understand.

  • 7/29/2019 EFCOG CES Escalation Rates 4-28-2010

    15/59

    Escalation

    Why should I be interested in escalation?

    As part of the Root Cause Analysis (RCA)

    Corrective Action Plan (CAP) CF-70 wastasked to develop policy/guidance on definition,

    development, and use of escalation rates based

    on industry and geographic trends.

    This was one of my first tasks at DOE

    15

  • 7/29/2019 EFCOG CES Escalation Rates 4-28-2010

    16/59

    Escalation

    Why should YOU be interested in escalation?

    You can have the best cost estimate (in constant dollars) but ifyou do not address escalation properly, your project profilewill be erroneous.

    One not only needs a good database to develop a goodestimate, but also appropriate inflation indices to project costsinto the future.

    DOE publishes rates that are to be used for your estimatesunless you can provide alternate rates with justification.

    16

  • 7/29/2019 EFCOG CES Escalation Rates 4-28-2010

    17/59

    BCI, CCI, and CEPCI Indices

    To develop the DOE indices, we looked atthree key construction indices which were:

    Construction Cost Index (CCI), Building Cost Index (BCI), and

    Chemical Engineering Plant Cost Index (CEPCI).

    17

  • 7/29/2019 EFCOG CES Escalation Rates 4-28-2010

    18/59

    Predicting the Future

    We use these indices to predict the future;however, as a famous philosopher said:

    It is tough to make predictions,

    especially about the future

    .Yogi Berra

    18

  • 7/29/2019 EFCOG CES Escalation Rates 4-28-2010

    19/59

    Composition of CCI

    19

    The Construction Cost Index (CCI) comprises amarket basket of three commodities plus common

    labor.

    The CCI consists of 80% labor and 20% material

    13%

    6%1%

    80%

    Common Labor

    Steel

    Lumber

    Cement

  • 7/29/2019 EFCOG CES Escalation Rates 4-28-2010

    20/59

    Composition of BCI

    20

    The Building Cost Index (BCI) comprises a marketbasket of three commodities plus skilled labor.

    10%

    22%

    65%

    3%

    Skilled Labor

    Steel

    Lumber

    Cement

    The BCI consists of 65% labor and 35% material

  • 7/29/2019 EFCOG CES Escalation Rates 4-28-2010

    21/59

    Composition of CEPCI (2002)

    21

    The Chemical Engineering Plant Cost Index (CEPCI)comprises a market basket of eight commodities and

    two types of skilled labor.

    21

    The CEPCI consists of 45% labor and 55% material

  • 7/29/2019 EFCOG CES Escalation Rates 4-28-2010

    22/59

    Historical and Predicted Rates

    2222

    Why is there so much volatility in the CEPCI rates?

  • 7/29/2019 EFCOG CES Escalation Rates 4-28-2010

    23/59

    Analysis of the CEPCI

    23

    Since there was so much volatility in theCEPCI, we decided to analyze the monthly

    CEPCI rates going back to 2002.

    The four major components of the CEPCI areEquipment, Construction Labor, Supervisory

    Labor, and Buildings.

    A multiple linear regression of the data withthe line forced through the origin revealed the

    following results:

    D t i i CEPCI

  • 7/29/2019 EFCOG CES Escalation Rates 4-28-2010

    24/59

    Determining CEPCI

    Percentages

    24

    Regression Statistics

    Multiple R 1.0000R Square 1

    Adjusted R Square 0.9863

    Standard Error 0.0341

    Observations 77

    ANOVA

    df SS MS F Sig F

    Regression 4 18604651 4651162.73 4.01E+09 1.1E-299

    Residual 73 0.084688 0.00116012Total 77 18604651

    Bi Sbi t Stat P-value Lower 95%Upper 95%

    Intercept 0

    Equip 66% 0.0002 2,687.0809 4.4E-184 0.6559 0.6568

    C Labor 19% 0.0008 248.8889 1.1E-108 0.1868 0.1898

    S Labor 9% 0.0006 160.8510 7.36E-95 0.0885 0.0907

    Buildings 5% 0.0006 83.3028 4.06E-74 0.0497 0.0522Total 0.9853

    Equip 66.6%

    C Labor 19.1%

    S Labor 9.1%

    Buildings 5.2%

    Total 1.000

  • 7/29/2019 EFCOG CES Escalation Rates 4-28-2010

    25/59

    Variability of CEPCI

    Components

    Percent Changes

    by Month

    -8.00%

    -6.00%

    -4.00%

    -2.00%

    0.00%

    2.00%

    4.00%

    6.00%

    8.00%

    Jun-07

    Jul-0

    7

    Aug-07

    Sep-07

    Oct-07

    Nov-07

    Dec-07

    Jan-08

    Feb-08

    Mar-08

    Apr-08

    May-08

    Jun-08

    Jul-0

    8

    Aug-08

    Sep-08

    Oct-0

    8

    Nov-08

    Dec-08

    Jan-09

    Feb-09

    Mar-09

    Apr-09

    May-09

    Structural supports EquipmentBuildings Engineering SupervisionConstruction Labor

    25

    Note the high variability of structural supports and equipment in the

    CEPCI.

  • 7/29/2019 EFCOG CES Escalation Rates 4-28-2010

    26/59

    Revised CEPCI Percentages

    26

    19%

    9%

    5%

    67%

    Equipment

    Construction Labor

    Supervisory Labor

    Buildings

    The Regression showed the CEPCI to be 28% labor and72% material. The large material component explains theincreased variability of the CEPCI. The next chart showswhat was developed to determine the DOE indices.

  • 7/29/2019 EFCOG CES Escalation Rates 4-28-2010

    27/59

    Derivation of DOE Indices

    BCI: Building Cost Index CCI: Construction Cost Index

    CEPCI: Chemical Engineering Plant Cost Index

    27

    Index Nuclear Scientific

    Laboratory

    Admin

    Warehouse

    Remediation

    D&D

    BCI 15% 33.3% 50%

    CCI 10% 33.3% 50% 100%

    CEPC I 75% 33.3%

  • 7/29/2019 EFCOG CES Escalation Rates 4-28-2010

    28/59

    DOE Escalation Rates

    DOE Office of Cost Analysis (CF-70) annually providesescalation rate assumptions for DOE projects

    Used for the FY 2011 Congressional Budget Call.

    Also to be used for Project analyses

    22-26 March 201028 Fundamentals of DOE Cost Estimating

    FY Rate Index Rate Index Rate Index Rate Index2009 -3.2 1.000 0.9 0.981 4.2 0.966 4.7 0.963

    2010 -1.9 0.981 -0.3 0.977 0.9 0.974 0.9 0.972

    2011 2.0 1.000 2.3 1.000 2.6 1.000 2.9 1.000

    2012 1.9 1.019 2.2 1.022 2.4 1.024 2.4 1.024

    2013 1.9 1.038 2.4 1.046 2.8 1.052 2.8 1.053

    2014 1.9 1.058 2.4 1.071 2.8 1.082 2.8 1.0832015 1.9 1.078 2.4 1.097 2.8 1.112 2.8 1.113

    2016 1.9 1.099 2.4 1.123 2.8 1.143 2.8 1.144

    2017 1.9 1.119 2.4 1.150 2.8 1.175 2.8 1.176

    2018 1.9 1.141 2.4 1.178 2.8 1.208 2.8 1.209

    2019 1.9 1.162 2.4 1.206 2.8 1.242 2.8 1.243

    2020 1.9 1.184 2.4 1.235 2.8 1.277 2.8 1.278

    Nuclear ScientificLaboratory

    Admin/Warehouse

    Remediation/D&D

  • 7/29/2019 EFCOG CES Escalation Rates 4-28-2010

    29/59

    Historical DOE Escalation Rates

    29

    Final 4QFY09 Escalation Rates (Nov 27, 2009)

    FY Rate Index Rate Index Rate Index Rate Index

    1990 1.2 0.635 2.0 0.573 2.6 0.531 2.5 0.523

    1991 0.9 0.640 1.9 0.584 2.6 0.544 3.4 0.541

    1992 0.0 0.640 1.9 0.595 3.5 0.563 3.1 0.558

    1993 2.0 0.653 3.5 0.616 4.8 0.590 4.2 0.581

    1994 3.0 0.672 3.3 0.636 3.5 0.611 3.5 0.601

    1995 2.7 0.691 1.4 0.645 0.4 0.613 1.0 0.607

    1996 1.0 0.697 2.6 0.662 4.0 0.637 3.5 0.629

    1997 1.9 0.711 2.8 0.681 3.5 0.660 3.0 0.647

    1998 0.5 0.714 1.1 0.688 1.5 0.670 1.9 0.660

    1999 1.2 0.723 2.0 0.702 2.7 0.688 2.8 0.678

    2000 1.0 0.730 1.2 0.710 1.3 0.696 1.6 0.689

    2001 0.1 0.731 1.3 0.719 2.2 0.712 2.7 0.707

    2002 1.8 0.745 2.1 0.734 2.4 0.728 3.1 0.729

    2003 1.0 0.752 1.6 0.746 2.0 0.743 2.3 0.746

    2004 12.7 0.848 10.8 0.827 9.3 0.812 8.3 0.807

    2005 2.1 0.866 2.8 0.850 3.4 0.839 3.3 0.834

    2006 8.1 0.936 5.3 0.895 3.0 0.865 3.0 0.859

    2007 3.1 0.965 3.4 0.925 3.7 0.897 3.7 0.891

    2008 7.0 1.033 5.0 0.972 3.5 0.927 3.3 0.920

    2009 -3.2 1.000 0.9 0.981 4.2 0.966 4.7 0.963

    Remediation/ D&DNuclear Scientific Laboratory Admin/ Warehouse

  • 7/29/2019 EFCOG CES Escalation Rates 4-28-2010

    30/59

    Escalation Rate Example

    Lets do a simple example of using escalationrates.

    Using the nuclear index convert $100M in

    FY1998 dollars to FY2008 dollars.

    30

  • 7/29/2019 EFCOG CES Escalation Rates 4-28-2010

    31/59

    Escalation Rate Example

    Lets do a simple example of using escalationrates.

    Using the nuclear index convert $100M in

    FY1998 dollars to FY2008 dollars. Answer:

    $100M * (FY2008 Index/FY1998 Index)

    $100M * (1.033/0.714) = $144.7M

    31

  • 7/29/2019 EFCOG CES Escalation Rates 4-28-2010

    32/59

    Escalation Rate Example

    Lets do a more complicated example usingescalation rates.

    We want to determine a cost estimatingrelationship (CER) to predict the cost in

    $FY09 of radiation detector Sites and Devices

    in Eastern Europe and Russia.

    32

  • 7/29/2019 EFCOG CES Escalation Rates 4-28-2010

    33/59

    Database used for

    Radiation Detectors

    33

    Fiscal

    Year Country Actual Costs

    Escalation

    Rate Index

    Adjusted to

    FY 2009$ Sites

    RPM

    QuantitiesFY07 Armenia 1,792,931 0.944 1,899,291 4 16

    FY07 Azerbaijan 4,100,088 0.944 4,343,314 6 14

    FY08 Estonia 778,168 0.991 785,235 2 3

    FY06 Georgia 3,018,110 0.912 3,309,331 2 7

    FY07 Georgia 4,821,530 0.944 5,107,553 6 30

    FY04 Greece 7,866,000 0.843 9,330,961 4 52

    FY08 Kazakhstan 8,214,631 0.991 8,289,234 8 27

    FY08 Lithuania 1,678,634 0.991 1,693,879 3 17FY03 Russia 10,940,228 0.761 14,376,121 19 113

    FY04 Russia 10,036,000 0.843 11,905,101 20 174

    FY05 Russia 10,396,578 0.867 11,991,439 19 35

    FY06 Russia 11,990,344 0.912 13,147,307 10 123

    FY07 Russia 16,617,441 0.944 17,603,221 29 92

    FY08 Russia 22,133,070 0.991 22,334,077 43 94

    FY08 Slovak Republic 650,676 0.991 656,585 5 10

    FY07 Ukraine 3,993,737 0.944 4,230,654 5 17185 824

    Dividing the actual costs by the Scientific Escalation RateIndices provided FY 2009 constant dollars.

  • 7/29/2019 EFCOG CES Escalation Rates 4-28-2010

    34/59

    Regression on

    Actual/Current Dollars

    34

    Note: The coefficient of determination (R2) is a relatively high

    .9442, but the RPM Quantity variable is not significant.

    How can one tell? Why is the intercept zero?

    Regression Statistics

    Multiple R 0.9717R Square 0.9442 = RegSS/Total SS

    Adjusted R Square 0.8688

    Standard Error 2,395,136

    Observations 16

    ANOVA

    SS df MS F Sig F Regression 1.3595E+15 2 6.79749E+14 118.49 0.00

    Residual 8.0313E+13 14 5.73668E+12

    Total 1.4398E+15 16

    Coefficients tandard Error t Stat P-value Lower 95% Upper 95%

    Intercept 0 #N/A #N/A #N/A #N/A #N/A

    Sites 457,484 65,414 6.99 0.00 317,186 597,782RPM Quantities 30,033 14,691 2.04 0.06 (1,476) 61,541

  • 7/29/2019 EFCOG CES Escalation Rates 4-28-2010

    35/59

    Regression on

    FY09 Constant Dollars

    35

    Note: The adjusted coefficient of determination (R2) is about thesame as the previous example; however, both variables arenow significant. How can one tell?

    Regression StatisticsMultiple R 0.9729

    R Square 0.9465 = RegSS/Total SS

    Adjusted R Square 0.8713

    Standard Error 2,556,727

    Observations 16

    ANOVA

    SS df MS F Sig F

    Regression 1.61932E+15 2 8.0966E+14 123.86 0.00

    Residual 9.15159E+13 14 6.5369E+12

    Total 1.71084E+15 16

    Coeffic ients Standard Error t Stat P-value Lower 95% Upper 95%

    Intercept 0 #N/A #N/A #N/A #N/A #N/A

    Sites 447,682 69,827 6.41 0.00 297,919 597,446

    RPM Quantities 45,459 15,682 2.90 0.01 11,825 79,094

  • 7/29/2019 EFCOG CES Escalation Rates 4-28-2010

    36/59

    Weakness of the Indices

    36

    The BCI and CCI are unweighted indices of 20 locations. Theindices would be more accurate if they were weighted.

    The BCI, CCI, CEPCI, PPI, and CPI yearly rates are based upon

    monthly cumulative values. Global Insight uses cumulative

    values for their yearly percent change calculations. Although I was unable to obtain a rationale for this, the main

    reason given is in some instances, it can reduce variability.

    Given the tremendous variability of commodities during the

    past year DOE used a similar method.

  • 7/29/2019 EFCOG CES Escalation Rates 4-28-2010

    37/59

    FY Month/Month vs. Cum Average

    BCI FY 2008 FY 2009 % ChangeSeptember 4827 4764 -1.3%

    Cum. Average 4619 4785 3.6%

    CCI XXXXXXXX XXXXXXXX XXXXXXXX

    September 8557 8586 0.3%Cum Average 8181 8566 4.7%

    CEPCI XXXXXXXX XXXXXXXX XXXXXXXX

    September 608.9 525.6 -13.7%

    Cum Average 564.7 532.8 -5.6%

    37

    The CEPCI Change for Sept 09/Sept 08 was -13.7%. This ledus to use the Cum Average/Cum Average for DOE Indices.

  • 7/29/2019 EFCOG CES Escalation Rates 4-28-2010

    38/59

    Rationale for Monthly Indices

    Former members of the DoD Cost Analysis Improvement Group disagreewith dividing the averaging cumulative indices.

    The idea of an annual deflator is to characterize the price of something inyear n, compared to the price of the same thing in year n-1. If thereference month is December, then the annual deflator rate for year m is

    the ratio of the price in December of year m+1, to the price in Decemberof year m, less one. -- Dr. David A. Lee, Ph D. Mathematics,

    Author of The Cost Analysts Companion

    The December index shows the level at the end of the year, so if you are

    looking for a year over year increase then Dec 08 / Dec 07 is appropriate.The problem with the average indices is how do you weight it? If you donot adjust for the seasonality of buying then you overweight andunderweight particular months.-- Dr. David C. Trybula, Ph.D Economics

    38

    Rationale for Cum Average

  • 7/29/2019 EFCOG CES Escalation Rates 4-28-2010

    39/59

    Rationale for Cum Average

    Indices

    As we discussed on the phone, utilizing annual PPIs or monthlyPPIs are both valid escalation methods; just be consistent.

    For further assistance, please contact the PPI Section of Index

    Analysis and Public Information at 202-691-7705.

    Sincerely,Antonio Lombardozzi

    Producer Price Index

    US Bureau of Labor Statistics

    39

  • 7/29/2019 EFCOG CES Escalation Rates 4-28-2010

    40/59

    Inflation and Escalation

    40

    Inflation is defined as a rise in the general level ofprices and goods and services in an economy over

    period of time. It is an external economic effect.

    Escalation is adjusting constant dollars to current/thenyear dollars to account for the effects of inflation.

    De-escalation is adjusting current/then year dollars to

    remove the effects of inflation.

    Inflation and Escalation are often used interchangeably.

  • 7/29/2019 EFCOG CES Escalation Rates 4-28-2010

    41/59

    Basic Terms

    Current dollars, then-year(TY) dollars, and nominal dollars all mean thesame thing.These are Budget dollars.

    All refer to dollar amounts at some specified time or times stated in terms of

    the prices then prevailing.

    A current dollar magnitude for a past year reflects prices that prevailed during

    that year (not now.)

    A current dollar magnitude for a future year reflects a forecast of what the

    prices will be then.

    Constant dollars and real dollars are synonyms. They are dollar

    magnitudes at a specified time or times, stated in the prices of a (fixed)

    reference time.

    Conversions between current dollars and constant dollars are

    accomplished using a Price Index.

    A price index is generally understood as the ratio of the overall or average

    level of prices in one period relative to that of a base period. There are many

    different types of price indices.41

  • 7/29/2019 EFCOG CES Escalation Rates 4-28-2010

    42/59

    Escalation and De-escalation

    First, Project costs should be estimated in terms ofConstant dollars.

    Second, Project budgets must be assembled in terms

    ofThen-Yeardollars using escalation factors.

    Use GDP deflator from OMB or DOE Indices to

    derive cost in terms of constant-value dollars, usually

    called constant dollars.

    Use the GDP deflators to compute Net Present

    Values (NPVs)

    4242

    OMB D i t d Di t R t

  • 7/29/2019 EFCOG CES Escalation Rates 4-28-2010

    43/59

    OMB-Designated Discount Rates,

    from OMB Circular A-94 (Dec 2009)

    434343

    What inflation rates does OMB anticipate?

    Why do these numbers increase over time?

    What about different durations?

    0.9%

    1.6%1.9%

    2.2%

    2.7% 2.7%

    2.3%

    3.1%

    3.5%

    3.9%

    4.4% 4.5%

    0.0%

    0.5%

    1.0%

    1.5%

    2.0%

    2.5%

    3.0%

    3.5%

    4.0%

    4.5%

    5.0%

    3-Year 5-Year 7-Year 10-Year 20-Year 30-Year

    Project Duration

    Real Rate

    Nominal Rate

  • 7/29/2019 EFCOG CES Escalation Rates 4-28-2010

    44/59

    Escalation Example

    4444

    Nuclear Example FY 2011 FY 2012 FY 2013 FY 2014

    Estimated Constant dollar project

    cost (FY11$M) 500 1,000 2,000 250

    DOE-nuclear price index (from table) 1.000 1.019 1.038 1.058

    Then-Year/budget dollars (TY$M) 500 1,019 2,076 265

    Start with cost stream estimated in Constant dollars

    Multiply the constant dollars by the DOE Nuclear index todevelop the budget requirements in Then-Year dollars

    = $3,750 FY11$M

    = $3,860 TY$ M

  • 7/29/2019 EFCOG CES Escalation Rates 4-28-2010

    45/59

    De-escalation Example

    45

    Scientific Example FY 2011 FY 2012 FY 2013 FY 2014

    Then-Year budget dollars ($M) 600 1,100 2,200 600

    DOEscientific price index (from

    Table 1.000 1.022 1.046 1.071

    Estimated Constant dollar project

    cost (FY11$M)

    600 1,071 2,103 560

    Start with cost stream in Then-Year/budget dollars

    Divide the Then-Year budget dollars by the DOE Scientific indexto develop constant dollars.

    = $4,334 FY11$M

    = $4,500 TY$M

  • 7/29/2019 EFCOG CES Escalation Rates 4-28-2010

    46/59

    Reminders

    Use Constant dollars when appropriate and usecurrent/then-year dollars when appropriate

    Constant dollars for costing

    Current/then-year dollars for budgeting

    Use the appropriate DOE escalation index

    The draft DOE O 415.X requires OCA approval for the use

    of an alternative escalation rate.

    An alternate rate requires (a) project title (b) total project cost or range (c ) reason

    for the alternate escalation rate along with substantiating

    data.

    46

  • 7/29/2019 EFCOG CES Escalation Rates 4-28-2010

    47/59

    Discounting

    Because a (real) dollar today is worth

    more than a (real) dollar tomorrow

    47

  • 7/29/2019 EFCOG CES Escalation Rates 4-28-2010

    48/59

    References

    OMB Circular A

    94:Guidelines and Discount Rates for Benefit-Cost Analysis of Federal Programs

    Executive Order 12893:Principles for Federal Infrastructure

    Investments

    Benefits and costs should be measured and appropriatelydiscounted over the full life cycle of each project.

    DOE Guidance on Life-Cycle Cost Analysis: All dollar values

    must be placed on a comparable basis for two reasons

    Money has real earning potential over time

    (need to discount)

    The purchasing power of money erodes over time

    (price escalation)

    48

  • 7/29/2019 EFCOG CES Escalation Rates 4-28-2010

    49/59

    Discounted Present Value

    Compare program alternatives when costs and benefitsare distributed over time. Typical applications:

    Alternative Analysis

    Lease-versus-buy analyses

    49

  • 7/29/2019 EFCOG CES Escalation Rates 4-28-2010

    50/59

    Mechanics of Discounting

    50

    tiCCPVn

    t )1/()(1

    Multi-Year: The generalization of the definition of presentvalue to a stream of costs C = Ct , t = 1, 2, 3, , n is:

    One Year: The present value of an amount (of money) R1 tobe received one year in the future where i is the annual rate

    of interest. is defined as:

    i

    RRPV

    1

    1

    1

    Simple Comparison of

  • 7/29/2019 EFCOG CES Escalation Rates 4-28-2010

    51/59

    Simple Comparison of

    Alternatives

    51

    Which alternative is better?

    Fiscal Year FY 2011 FY 2012 FY 2013 FY 2014 FY 2015 FY 2016 FY 2017 Total

    Admin Warhouse 1.000 1.024 1.052 1.082 1.112 1.143 1.175

    ALT 1 TY $M 248 463 970 916 410 3,007

    FY11 $M 236 428 872 801 349 2,686

    NPV 1.9% $M 227 404 809 729 312 2,482

    ALT 2 TY $M 91 440 577 617 555 444 233 2,957

    FY11 $M 91 430 548 570 499 388 198 2,725

    NPV 1.9% $M 91 422 528 539 463 354 177 2,573

    Comparison of Alternatives - Admin/Warehouse Project

    0

    200

    400

    600

    800

    1000

    1200

    FY 2011 FY 2012 FY 2013 FY 2014 FY 2015 FY 2016 FY 2017

    Fiscal Year

    MillionsinTY$

    ALT 1 TY $M

    ALT 2 TY $M

  • 7/29/2019 EFCOG CES Escalation Rates 4-28-2010

    52/59

    Choosing a Discount Rate

    Use the Treasury borrowing rate matched to: Duration of Cost and Benefit Streams

    Dollars in which the costs and benefits are stated

    Then-Year or Constant

    Timing of Costs and Benefits Within Individual Years The actual discount factor varies depending on your assumption

    about when in the year costs and benefits occur

    Treasury Rates Are Updated in Annual Revisions to OMB

    Circular A94, Appendix C http://www.whitehouse.gov/omb/circulars/a094/a094.html

    Special considerations apply for analysis of regulations.

    Consult OMB Circular A94.

    52

    http://www.whitehouse.gov/omb/circulars/a094/a094.htmlhttp://www.whitehouse.gov/omb/circulars/a094/a094.html
  • 7/29/2019 EFCOG CES Escalation Rates 4-28-2010

    53/59

    Summary

    Use ofmulti-yearcost streams has to consider Escalation: changes in prices

    Discounting: accounting for the time value of money

    Escalation Use constant dollars for project analysis

    Use then-year dollars for budgeting

    Use the appropriate index to convert

    Discounting

    Use net present value to compare alternatives

    Use the right discount rate

    5353

  • 7/29/2019 EFCOG CES Escalation Rates 4-28-2010

    54/59

    Example

    54

    Using the Nuclear Index fill out the table belowFiscal Year FY 2011 FY 2012 FY 2013 FY 2014 FY 2015 FY 2016 FY 2017 Total

    Nuclear NA

    ALT 1 TY $M 500 500 500 400 250 2,150

    FY11 $M*NPV 1.6% $M

    ALT 2 TY $M 350 350 400 300 300 300 200 2,200

    FY11 $M

    **NPV 1.9% $M

    *OMB Discount rate for constant dollars for 5 years is 1.6%

    **OMB Discount rate for constant dollars for 7 years is 1.9%

  • 7/29/2019 EFCOG CES Escalation Rates 4-28-2010

    55/59

    Example Solution

    55

    Using the Nuclear Index to fill out the table below

    Fiscal Year FY 2011 FY 2012 FY 2013 FY 2014 FY 2015 FY 2016 FY 2017 Total

    Nuclear 1.000 1.019 1.038 1.058 1.078 1.099 1.119 NA

    ALT 1 TY $M 500 500 500 400 250 2,150

    FY11 $M 500 500 500 400 250 1,150*NPV 1.6% $M 500 472 445 420 317 1,182

    ALT 2 TY $M 350 350 400 300 300 300 200 2,200

    FY11 $M 350 350 400 300 300 300 200 2,200

    **NPV 1.9% $M 350 327 306 327 229 214 200 1,952

    *OMB Discount rate for constant dollars for 5 years is 1.6%

    **OMB Discount rate for constant dollars for 7 years is 1.9%

    Discounting of Nominal Dollars

  • 7/29/2019 EFCOG CES Escalation Rates 4-28-2010

    56/59

    Discounting of Nominal Dollars

    Using OMB Circular A-94 Rates

    56

    Fiscal Year FY 2011 FY 2012 FY 2013 FY 2014 FY 2015 FY 2016 FY 2017 TotalNuclear 1.000 1.019 1.038 1.058 1.078 1.099 1.119 NA

    ALT 1 TY $M 500 500 500 400 250 2,150

    *NPV 3.1% $M 500 485 470 365 221 2,042

    ALT 2 TY $M 350 350 400 300 300 300 200 2,200**NPV 3.5% $M 350 338 373 271 261 253 163 2,009

    *OMB Discount rate for nominal dollars for 5 years is 3.1%

    **OMB Discount rate for nominal dollars for 7 years is 3.5%

    Why are these totals higher than the previous example?

    Discounting of Nominal Dollars

  • 7/29/2019 EFCOG CES Escalation Rates 4-28-2010

    57/59

    Discounting of Nominal Dollars

    Using OMB Circular A-94 Rates

    57

    Fiscal Year FY 2011 FY 2012 FY 2013 FY 2014 FY 2015 FY 2016 FY 2017 TotalNuclear 1.000 1.019 1.038 1.058 1.078 1.099 1.119 NA

    ALT 1 TY $M 500 500 500 400 250 2,150

    *NPV 3.1% $M 500 485 470 365 221 2,042

    ALT 2 TY $M 350 350 400 300 300 300 200 2,200**NPV 3.5% $M 350 338 373 271 261 253 163 2,009

    *OMB Discount rate for nominal dollars for 5 years is 3.1%

    **OMB Discount rate for nominal dollars for 7 years is 3.5%

    Why are these totals higher than the previous example?Ans: The projected OMB Inflation rates are lower than theNuclear Index (e.g. 1.6% vs 1.9% for 7 years)

  • 7/29/2019 EFCOG CES Escalation Rates 4-28-2010

    58/59

    Summary Questions

    1. What are the four baskets used to calculate DOE escalationrates?

    2. Which of these baskets has recently shown the most

    variability, and why?

    3. In regression analysis how can one tell if the overall regression

    is significant?

    4. In regression analysis how can one tell if the independent

    variables are significant?

    58

  • 7/29/2019 EFCOG CES Escalation Rates 4-28-2010

    59/59

    Questions for Discussion

    1. How have you been using escalation rates in your projects?

    2. What suggestions do you have for improving the CF-70

    escalation rates in the future?

    3. What does the draft DOE O 415.X require?


Recommended