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P3-VALUE 2.2 User Guide and Concept Guide

January 2019
Table of Contents

Tables

Figures

Acronyms
AP Availability Payment
BCA Benefit Cost Analysis
BS Balance Sheet
CF Cash Flow
CFADS Cash Flows Available to Debt Service
DSCR Debt Service Coverage Ratio
DSRA Debt Service Reserve Account
GPL General Purpose Lanes
IRI International Roughness Index
IRR Internal Rate of Return
ML/TL Managed Lanes or Tolled Lanes
MMRA Major Maintenance Reserve Account
O&M Operations and Maintenance
PDBCA Project Delivery Benefit-Cost Analysis
P&L Profit & Loss
PSC Public Sector Comparator or Conventional Delivery
P3 Public-Private Partnership
V/C Volume/Capacity Ratio
VDF Volume Delay Function
WACC Weighted Average Cost of Capital
 

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4 P3-VALUE 2.2 Detailed Inputs

This section describes the use of the detailed input sheets. Please refer to Section 0 for a discussion of the simplified inputs sheet.

The detailed input sheets can be accessed through the Model Navigator. The following panel with the various input sheets will appear upon clicking on the Inputs button in the Model Navigator.

model navigator screen
View larger version of Figure.

Text description of figure.

Model Navigator

This model navigator screenshot displays the detailed inputs at a high level view, including input timing and cost, input traffic and tolls, input finances, input risk and input BCA.

Alternatively, users can use the usual Excel navigation features to access the different sheets. Users will be required to input data in the different input sheets for the PSC and the P3 delivery models. For the Delayed PSC delivery model, the user only needs to input start and duration of pre-construction (see below), with all other values being equal to the PSC.

Users are only expected to provide inputs in cells that are yellow-shaded (for project specific inputs) or orange-shaded (for non-project specific inputs)

4.1 InpTiming&Cost: Timing & Cost Inputs

This sheet seeks user inputs for the timeline and basic cost for the various delivery models to be considered in the analysis.

4.1.1 Timing Inputs

In this section, the user will input the specific years in which project phases begin, as well as the duration of each phase for the various delivery models. Users should input data in the yellow-shaded cells.

  • Pre-construction start year: Please enter the year the pre-construction phase begins.
  • Pre-construction duration: Please enter the duration of the pre-construction duration (in whole years).
  • Construction start year: Please confirm the year construction begins. If users want to modify the construction start year, please adjust the pre-construction start or duration (in whole years).
  • Construction duration: Please enter the construction period duration (in whole years).
  • Operations start year: Please confirm the year operations begin. If users want to modify the operations start year, please adjust the construction start or duration.
  • Operations duration: Please enter the operations phase duration. For the P3 and Delayed PSC delivery models, the operations duration is automatically adjusted to ensure the same operation end year for PSC, Delayed PSC, and P3.
  • Operation end year: Please confirm the year the operations phase will end. If users want to modify the operations end year, please adjust the operations start or duration.

The following provides sample timing inputs:

Construction and operations timing Unit PSC Delayed PSC P3
Pre-construction start year year # 2018 2023 2018
Pre-construction duration years 2 2 2
Construction start year year # 2020 2025 2020
Construction duration years 4 4 3
Operations start year year # 2024 2029 2023
Operations duration years 40 35 41
Operations end year year # 2063 2063 2063
4.1.2 Cost Inputs

In this section of the InpTiming&Cost sheet, users will input all major costs items for each of a project's phases:

  • Pre-construction
  • Construction
  • O&M and Major Maintenance

The user should enter all costs in dollar terms in the indexation base year (see section 4.1.3 below). Users should only input data in the yellow-shaded cells. The model contains the following cost items:

  • Public procurement cost (including compensation of losing bids): Please enter the amount of the public procurement costs (in thousands of dollars). These are costs incurred by the Agency during the project preparation phase up to financial close, including any compensation that may be given to losing bids.
  • Private procurement costs (cost of winning bid): Please enter the cost incurred by the winning bidder (in thousands of dollars).
  • Private procurement costs (cost of non-compensated bids, only considered in PDBCA): Please enter the non-compensated cost incurred by the losing bidders (in thousands of dollars).
  • Pre-construction costs: Please enter the pre-construction cost (in thousands of dollars). These are preparation and costs incurred before the award of the construction or P3 contract.
  • Construction costs: Please enter the construction cost (in thousands of dollars). These are construction costs incurred after the award of the construction or P3 contract.
  • Annual routine operations and maintenance cost: Please enter the annual routine operations and maintenance cost (in thousands of dollars per year).
  • Handback costs: Please enter the cost required to bring back the facility to the specified standards for each of the delivery models (in thousands of dollars). For a more detailed discussion on handback cost and residual value, please see Part II 2.4.
  • Major maintenance costs: Please enter the major maintenance costs (in thousands of dollars per year). For example, if the user expects a $10,000k major maintenance investment every 10 years (in nominal dollar terms in the indexation base year, see below), the input should be $10,000k. The user will also be expected to provide the major maintenance periodicity for the different delivery models. In this case, the major maintenance periodicity would be 10 years.

For each of the above cost items, the following inputs are required:

  • PSC total cost: Please enter the cost amount of the considered cost item under PSC delivery (in thousands of dollars for pre-construction and construction or thousands of dollars per year for O&M).
  • P3 total cost: Please enter the cost amount of the considered cost item under P3 delivery (in thousands of dollars for pre-construction and construction or thousands of dollars per year for O&M).

P3 transferred cost: Please enter the share of the P3 cost amount that will be transferred from the Agency to the P3 concessionaire (in percent). Furthermore, users are expected to provide No Build annual O&M costs (in thousands of dollars per year), which are used to calculate the No Build O&M cost savings achieved by doing the project. The No Build annual O&M amount should include all operational costs that will not have to be incurred if the project is undertaken, including annualized costs of any contributions towards major maintenance.

Please note that P3-VALUE 2.2 does not adjust O&M costs for traffic. In other words, even if traffic is lower than expected, the O&M costs remain the same.

4.1.3 Escalation

This section of the worksheet prompts user input for escalation and indexing for costs and revenues. The user must input the indexation base year and should adjust the indexation rate as appropriate for each of the project costs and revenue sources. Please note that all input cost and revenue sources are assumed to be in nominal terms, using the indexation base year input as its base year. The indexation base year is also used as the base year for NPV calculations (see section 4.3.2). The following is an example of input for this section:

Escalation Constant Unit
Indexation base year 2018 year #
Indexation rate - Construction 2.00% % p.a.
Indexation rate - Operations 2.00% % p.a.
Indexation rate - Toll rates 2.00% % p.a.
Indexation rate - CPI 2.00% % p.a.
Indexation rate - Subsidy 2.00% % p.a.
Allowable share of indexed O&M component in availability payment 2.00% %
Indexation rate - O&M component of availability payment 2.00% % p.a.
4.1.4 Non Changeable Technical Inputs

This section of the worksheet presents non-changeable technical inputs. The user is not expected to change any of these inputs and can ignore them while performing a VfM analysis and PDBCA. Non-changeable inputs include view mode, input mode, and navigator labels (used in a macro to switch from detailed-level to high-level view, from detailed inputs to simplified inputs, and from Model Navigator to Training Navigator), timeline labels (used to provide visual timelines in each calculation sheet) and a number of constants.

Labels Constant Unit
Navigator labels
View mode ("Detailed Level View" or "High Level View") - Macro driven Detailed Level View switch
Input mode (0 = Detailed inputs, 1 = Simplified inputs) - Macro driven 0 switch
Input mode details Detailed Inputs switch
Navigator option ("Model Navigator" or "Training Navigator") - Macro driven Model Navigator switch
View of model Detailed Level View switch
Timeline labels
Timeline Labels for PSC and P3    
Project initiation period label
Pre-construction period Pre-Constr. label
Construction period Construction label
Operations period Operations label
Post-operations period Post-Ops. label
Timeline Labels for Delayed PSC    
Project initiation period Delayed label
Pre-construction period Pre-Constr. label
Construction period Construction label
Operations period Operations label
Post-operations period Post-Ops. label

The constants include consumer surplus factor (equal to ½, please refer to Part II 5.11 explaining the calculation of consumer surplus), the number of directions in bidirectional traffic (equal to 2 directions), the variance quadratic factor, uniform variance factor, triangular variance factor (factors used in the calculation of variance for pure risks), goal seek precision multiplier (input used for the Model Optimizer), and various units.

Constants Constant Unit
Consumer surplus factor (for PDBCA) 0.5000 factor
Number of directions in bidirectional traffic 2 directions
Variance quadratic factor 2.0000 factor
Uniform variance factor 12.0000 factor
Triangular variance factor 18.0000 factor
Goal seek precision multiplier 1 #
Units in a hundred 100 units
Units in a thousand 1,000 units
No. of days in a year 365 days
Months in a year 12 months
Units in a million 1,000,000 units

Furthermore, the Model Optimizer requires a number of numerical inputs, which are listed below.

Model tolerance & optimization parameters Constant Unit
Model check tolerance level 0.0010 tolerance
Model check tolerance level amplifier 0.1000 tolerance
P3 - WACC for initial AP estimation in macro 8.00% % p.a.
P3 - WACC for initial subsidy / concession fee estimation in macro 10.00% % p.a.

Please note that the non-changeable technical inputs are not accessible under the high-level view.

4.2 InpTraffic&Toll: Traffic and Toll Inputs

This sheet seeks user inputs for traffic volumes, toll rates, traffic characteristics and shares, speed, and roadway capacity.

4.2.1 Traffic Inputs

The model enables users to input bidirectional P50 (or most likely) weekday traffic data for up to five different input years over the project analysis period. Users must provide traffic data for the No Build and Build (Managed Lanes or Tolled Lanes and General Purpose Lanes separately) for the model start year (PSC or P3 pre-construction start year, whichever is earlier). Users may also provide up to four additional traffic data points by entering the relevant traffic data point year and forecast. If the project is a simple toll road (as opposed to a Managed Lanes facility), traffic inputs on the General Purpose Lanes (GPL) should be zero. If the project is not tolled, traffic inputs on the Managed Lanes or Tolled Lanes (ML/TL) should be zero. If the project is a managed lane project, the user will input both tolled traffic (on ML/TL) and non-tolled traffic (GPL). Please note that Build traffic (Managed Lanes or Tolled Lanes and General Purpose Lanes traffic combined) should be equal to or exceed No Build traffic. The following shows sample inputs for a project involving the expansion of an existing facility to accommodate managed lanes along with free GPLs.

Users are also expected to provide the annual traffic growth after the last input year. This input is used to project traffic beyond the last year of input. The following shows sample inputs. In the sample inputs, "> 2050" refers to traffic growth after 2050, the last year of input in the considered example.

The units are thousands of vehicles per weekday.

Bidirectional traffic forecast Unit Year No Build ML/TL GPL
Bidirectional P50 weekday daily traffic in model start year (2017) 000s 2017 120.0 25.0 105.0
Bidirectional P50 weekday daily traffic in input year 2 000s 2020 127.0 30.0 110.0
Bidirectional P50 weekday daily traffic in input year 3 000s 2030 138.0 35.0 121.0
Bidirectional P50 weekday daily traffic in input year 4 000s 2040 150.0 40.0 131.0
Bidirectional P50 weekday daily traffic in input year 5 000s 2050 158.0 45.0 142.0
Annual traffic growth after last input year % p.a. > 2050 0.50% 1.00% 0.50%

The model has a built-in feature to ensure that project daily traffic does not exceed the facility's daily capacity. Please refer to Part II 5.3 for more detail on this feature.

4.2.2 Ramp-up Inputs

The model allows to model a (linear) traffic ramp-up through two ramp-up parameters: Ramp-up starting traffic and ramp-up period duration. As an example, if traffic is expected to reach 50%, 80%, 90%, and 100% of post-ramp up traffic in year 1, 2, 3, and 4, respectively, the ramp-up starting traffic is 50%, whereas the ramp-up period duration would be four years

Ramp-up Unit PSC Delayed PSC P3
Ramp-up starting traffic (% of post-ramp up traffic) % 50.00% 50.00% 50.00%
Ramp-up period duration years 5 5 5
4.2.3 Toll Inputs

Users will need to input the toll rates for 2- (passenger cars), and 4-axle (trucks/buses) vehicles for weekday peak, weekday off-peak and weekends, for the No-Build, ML/TL, and GPL. The following shows sample inputs.

Toll rates and leakage Unit No Build ML/TL GPL
2 axle vehicles toll rates - Weekday - Peak USD / vehicle 0.00 4.00 0.00
2 axle vehicles toll rates - Weekday - Off-peak USD / vehicle 0.00 2.00 0.00
2 axle vehicles toll rates - Weekend USD / vehicle 0.00 2.00 0.00
4+ axle vehicles toll rates - Weekday - Peak USD / vehicle 0.00 6.00 0.00
4+ axle vehicles toll rates - Weekday - Off-peak USD / vehicle 0.00 4.00 0.00
4+ axle vehicles toll rates - Weekend USD / vehicle 0.00 4.00 0.00

Note that HOV toll exemptions are not accounted for, either for buses or for carpools.

In addition, the user is requested to enter the expected toll revenue leakage (as a percentage of total toll revenues).

Toll revenue leakage 1.00% %
4.2.4 Inputs for Traffic Characteristics and Shares

Besides the traffic and toll inputs, the PDBCA module also requires other traffic-related inputs. First, users are expected to provide a traffic sensitivity factor, which determines what share of the growth in traffic (i.e., P50 (or most likely) traffic above No Build base year traffic) will be considered in the PDBCA module. This traffic sensitivity factor captures uncertainty in traffic projections. The factor is applied to all traffic above the No Build base year traffic, both for the Build and No Build scenarios. If the sensitivity factor is set to 0%, the base year No Build traffic will be applied in all years (no traffic growth) to both the No Build and Build scenarios. The model allocates the No Build base year traffic on a pro rata basis to the Managed Lanes or Tolled Lanes and General Purpose Lanes using the weekday daily traffic inputs. If the traffic sensitivity factor is set to 100%, the model directly uses the weekday daily traffic inputs. If a value between 0% and 100% (or above 100% for an upside sensitivity analysis) is selected, the factor is applied to all No Build and Build traffic above the No Build base year traffic.

In the VfM analysis, the uncertainty is captured through the revenue uncertainty adjustment (for the PSC) and the cost of capital (for P3). Please refer to Part II for a more detailed discussion on risks and uncertainty.

Traffic sensitivity factor for PDBCA (applies to traffic above No Build base year traffic) 100.00% %

Furthermore, users will be expected to provide information on the facility's segment length. The number of representative weekdays has a default value of 250 days per year (non-project specific default inputs are orange-shaded). The number of weekend days or holidays in a year is calculated automatically.

Segment length 20 miles
Weekdays in a year 250 days
Weekend days / holidays in a year 115 days

Users will also need to input the number of unidirectional peak hours in a day, and the number of uni-directional off-peak hours in a day. For example, a radial highway may experience an AM peak period of 3 hours in the direction of the central business district while a circumferential highway may experience an AM peak period of 3 hours and a PM peak period of 3 hours, i.e. a total of 6 hours of peak traffic. The following shows sample inputs.

No. of unidirectional peak hours in a day (during AM, PM or combined) 3 hours
No. of unidirectional off-peak hours in a day 15 hours

In the above example, the amount of traffic carried by the roadway for 6 hours at night (e.g., between 12:00 AM and 6:00 AM) is insignificant. Therefore, the off-peak period is 15 hours. The model requires users to input only the number of hours with significant traffic in order to ensure that off-peak congested speed is representative of real world conditions.

Next, users will need to input the number of lanes per direction as well as the relative share of unidirectional peak traffic (as a percentage of weekday traffic) and weekend traffic (as a percentage of weekday traffic), for the No Build, Managed Lanes/Tolled Lanes, and General Purpose Lanes. As the combined weekday traffic needs to be 100%, the unidirectional off-peak traffic percentage is calculated directly from the unidirectional peak traffic percentage. Sample inputs are shown below.

Traffic and project characteristics Unit No Build ML/TL GPL
No. of lanes per direction lanes 3 2 3
No. of lanes in both directions lanes 6 4 6
Unidirectional peak traffic percentage % 30.00% 30.00% 30.00%
Unidirectional off-peak traffic percentage % 70.00% 70.00% 70.00%
Weekend traffic (% of weekday traffic) % 60.00% 60.00% 60.00%

In addition, users must enter 2-axle vehicle percentages for peak, off-peak, and the weekend. The 4+ axle traffic shares are calculated automatically using the 2 axle traffic shares. The following shows sample inputs.

Traffic shares Unit No Build ML/TL GPL
2 axle vehicle percentage - Peak % 95.00% 100.00% 95.00%
4+ axle vehicle percentage - Peak % 5.00% 0.00% 5.00%
2 axle vehicle percentage - Off-peak % 90.00% 100.00% 90.00%
4+ axle vehicle percentage - Off-peak % 10.00% 0.00% 10.00%
2 axle vehicle percentage - Weekend % 95.00% 100.00% 95.00%
4+ axle vehicle percentage - Weekend % 5.00% 0.00% 5.00%
4.2.5 Speed Inputs

In order to calculate travel time savings, the model requires users to provide free flow speeds for both 2 axle and 4+ axle vehicles. The following shows sample inputs.

Highway free flow speeds Unit No Build ML/TL GPL
Highway free flow speed - 2 axle miles / hour 65 70 70
Highway free flow speed - 4+ axle miles / hour 60 65 65
4.2.6 Volume and Capacity Inputs

Beyond traffic and speed inputs, the model requires additional information regarding the relation between speeds and traffic volumes to accurately predict delays due to high traffic volumes. More specifically, the model uses a volume delay function (VDF). Its default parameters are provided below, as well as the Level of Service C (LOS C) lane vehicle capacity (expressed as thousands of passenger car equivalents per lane per hour).

Volume delay function Constant Unit
Bureau of Public Road Volume Delay Function parameter Alpha 0.15 factor
Bureau of Public Road Volume Delay Function parameter Beta 4.00 factor
Lane vehicle capacity at LOS C 1.50 000s/lane/hour

The capacity and VDF parameters used by the regional travel demand model (maintained by the Metropolitan Planning Organization) may be used as inputs for P3-VALUE 2.2 in order to ensure that the estimated traffic speeds and capacities are consistent. The user may alternatively use the Highway Capacity Manual to estimate capacity based on roadway characteristics if lane vehicle capacity information cannot be obtained from the travel demand model documentation. FHWA recommends using LOS C capacity to estimate congested speeds 5.

As mentioned earlier, the model contains a built-in feature that ensures that future daily traffic does not exceed the facility's daily capacity. To determine the facility's daily capacity, the model requires two additional inputs: 1) An hourly-to-daily capacity conversion factor and 2) the ratio of LOS E capacity to LOS C capacity. Default inputs are provided for the No Build, Managed Lanes/Tolled Lanes, and General Purpose Lanes separately.

Capacity Unit No Build ML/TL GPL
Hourly-to-daily capacity conversion factor factor 15 10 15
Ratio of LOS E capacity to LOS C capacity* factor 1.33 1.00 1.33
* LOS E = maximum vehicle throughput, LOS C = vehicle throughput at or near free flow

In the traffic and toll input sheet, there is a daily traffic capacity breach check that indicates whether the daily traffic assumptions lead to traffic beyond capacity. If the check is green, projected traffic is less than the facility's capacity. If the check is orange, projected traffic exceeds the facility's capacity, in which case the model automatically constrains traffic at capacity. This check is also included in the "error checks and alerts" summary at the top of each input and calculation sheet.

Please note that the volume and capacity inputs are not accessible under the high-level view.

4.2.7 P3-VALUE 2.2 Limitations & Guidelines for Input Assumptions

It is to be noted that P3-VALUE 2.2 has certain limitations with regard to the type of projects it can analyze. For example, there is only one lane type and associated traffic input for the No Build. If the No Build contains both high occupancy vehicle (HOV) lanes and general purpose lanes (GPL), the user would need to combine both types of traffic into a single input. While the combined traffic volumes can be directly input, the vehicle occupancy for the No Build would need to be adjusted to represent both sets of lanes. In addition, HOV lanes and the GPLs may in reality have different congested speeds. Since a single Volume Delay Function (VDF) would be applied to the combined traffic, the estimated congested speeds will not reflect actual conditions. The VDF will overestimate the speed of GPL traffic and underestimate the speed of HOV traffic. Therefore, use of P3-VALUE 2.2 for this type of project will not provide an accurate representation of congestion delays in the No Build scenario.

A second limitation of P3-VALUE 2.2 is that it assumes that Build traffic (all lanes combined) is higher than, or at least equal to, No Build traffic. However, the presence of a high toll could reduce traffic in the Build alternatives relative to the No Build case. In the presence of a relatively high toll, traffic may divert to other facilities. P3-VALUE 2.2 cannot be used in such a case, since a basic assumption in the model is that Build traffic will be equal to or higher than No Build traffic. A possible way to overcome this limitation might be to run the travel demand model using the higher toll to determine the No Build traffic under these conditions. Such an approach would allow for a comparison between the Build and No Build alternatives and ensures that the Build traffic is at least as much as the No Build traffic.

P3-VALUE 2.2 also cannot directly analyze reversible lanes. If the user wishes to analyze reversible lanes, it may be possible to conduct two separate analyses, one for each direction of travel, and combine the results.

Projects that are conducted to upgrade structurally deficient infrastructure (such as bridge replacement) or provide an emergency evacuation route may not yield a significant increase in travel cost savings compared to the No Build. If the user wishes to analyze such projects using P3-VALUE 2.2, the user may, for example, calculate the additional safety benefits exogenously and add them to the benefits calculated by P3-VALUE 2.2 in order to perform a more complete evaluation of costs and benefits.

4.3 InpFin: Financial Inputs

The InpFin is the input sheet where users enter funding and financing inputs. This input sheet has many critical inputs, which can dramatically affect the outputs.

4.3.1 PSC-P3 Comparison Scenario Selection

P3-VALUE 2.2 enables users to perform three different comparisons between PSC (Conventional Delivery) and P3, which are listed below. The first two comparison scenarios both consider a tolled highway, whereas the third scenario considers a non-tolled highway.

  1. PSC tolled vs. P3 toll concession (toll revenue goes to concessionaire)
  2. PSC tolled vs. P3 availability payment (toll revenue goes to public Agency)
  3. PSC not tolled vs. P3 availability payment (no toll revenue for public Agency or concessionaire)

For the PSC in the first comparison scenario, the Agency will make use of conventional delivery such as a design-bid-build (DBB) or design-build (DB) contract, with all toll revenues directly flowing to the Agency. If the project is procured as a P3, the P3 concessionaire will be responsible for the construction and operation of the facility but will also retain all toll revenues ("toll concession"). Furthermore, the P3 concessionaire may require a subsidy or may be willing to pay a concession fee, depending on the project.

For the second scenario, the PSC has exactly the same structure as the PSC under the first scenario. Under P3 for this second scenario, the P3 concessionaire will still be responsible for the construction and operation of the facility, but will not retain the toll revenues, which will flow to the Agency. In return, the Agency will pay the P3 concessionaire an availability payment for the duration of the concession period.

The last scenario is exactly the same as the second scenario, except that there is no tolling. This means that the Agency will not be able to use toll revenues to pay for the facility. Compared to the second scenario, the P3 concessionaire will not observe any real difference, as it will still receive a fixed availability payment from the Agency.

Users can select one of the above comparison scenarios using the dropdown menu at the top left of the InpFin input sheet (cell F6). The selected scenario is indicated with a ▼ symbol, as shown below.

Active scenario -->
Active scenario selection --> PSC: Tolled,
P3: Toll concession
PSC: Tolled,
P3: Toll concession
PSC: Tolled,
P3: Availability Payment
PSC: Not tolled,
P3: Availability Payment
4.3.2 Discounting, Tax & Competitive Neutrality Adjustment Inputs

In this section, the user will provide information regarding discounting, taxation, and competitive neutrality adjustment.

Two elements are important for discounting. First, a net present value (NPV) always refers to a point in time. Therefore, the model needs to know what reference year will be used for NPV calculations. The second element required to discount cash flows is the discount rate. In the VfM analysis and the risk analysis, the model uses a project risk-free discount rate to calculate the NPV of costs and revenues to the Agency. Cash flows to the P3 concessionaire, however, are discounted at the Weighted Average Cost of Capital (WACC). The project risk-free discount rate reflects the time value of money and related uncertainties and risks (i.e., not including project risks), just like any interest rate. The term "project risk free" indicates that the discount rate does not reflect uncertainties and risks that are specific to a project. On the other hand, an interest rate in a project finance structure would reflect such project specific risks. The Agency's borrowing rate can potentially be used as a proxy for the project risk-free discount rate.

For the NPV calculations in the PDBCA, the model uses the social real discount rate. However, determining the social real discount rate can be challenging. Theoretically, the social discount rate should represent the benefits foregone from alternative use of those funds by the Agency or government. In practice, it may be difficult to determine the right value. As guidance, the user should use the state or Agency's social discount rate or follow the Federal Office of Management and Budget's (OMB) Circular A-94.

Discounting Constant Unit
NPV base year (same as "Indexation base year" in InpTiming&Cost) 2018 year #
Project risk-free discount rate (for VfM analysis) 4.00% % p.a.
Social real discount rate (for PDBCA) 2.00% % p.a.

Regarding tax, the model provides the option to input both federal and state tax rates for the P3 concessionaire. Whether or not the P3 concessionaire will pay tax depends on its legal structure. The model allows for a tax pass-through to the parent company, meaning that the parent company could take advantage of tax losses generated by the project. If no tax pass-through is considered, the model allows the concessionaire to carry forward losses to future tax periods for a specified number of years. The following shows sample tax inputs.

Tax Constant Unit
Tax pass-through to parent company? FALSE switch
Tax losses expiration period (only relevant if no

tax pass-through to parent company)

20 years
P3 - State tax rate 10.00% %
P3 - Federal tax rate 25.00% %

Furthermore, to ensure a fair comparison between PSC and P3, the model enables users to apply a competitive neutrality adjustment for the following elements:

  1. State taxes
  2. Federal taxes
  3. Construction self-insurance
  4. O&M and major maintenance self-insurance
  5. Credit subsidies or tax benefits

The competitive neutrality adjustment is included to ensure an apples-to-apples comparison between the PSC and P3. For example, if the P3 is more expensive due to taxation that will flow back to the government, the increased cost due to taxation should logically not negatively impact the evaluation. To offset this effect, the same tax liability can either be added to the PSC as a cost or alternatively subtracted from the P3 cost. Depending on their perspective and preference, users can decide to ignore the competitive neutrality adjustment, or to include a partial adjustment for, for example, only state tax. The following shows sample competitive neutrality adjustment inputs.

If the Agency self-insures under PSC while requiring insurance from the P3 concessionaire in case of a P3 can lead to a similar issue. P3-VALUE 2.2 allows the user to estimate the value of self-insurance (as a percentage of the construction/O&M costs) in order to adjust the VfM results accordingly. Furthermore, the model allows users to incorporate different credit subsidies under the PSC and P3 into the competitive neutrality adjustment.

Competitive neutrality adjustment Constant Unit
State tax considered for competitive neutrality adjustment? TRUE switch
Federal tax considered for competitive neutrality adjustment? TRUE switch
Construction self-insurance (% of transferred construction costs) 0.00% %
O&M and major maintenance self-insurance (% of transferred O&M costs) 0.00% %
PSC credit subsidy at financial close - USD k
P3 credit subsidy at financial close - USD k
4.3.3 PSC & P3 Financing Inputs

Users only need to provide inputs for the yellow-shaded cells in columns I, J, or K. Cells and/or columns that are greyed-out relate to comparison scenario other than the one selected in cell F6 (see above). The list below provides an explanation of the various inputs required.

  • Subsidy/Milestone payment: Please input the value of the upfront subsidy/milestone payment(s) available to the project (in thousands of dollars). Any upfront subsidy/milestone payment is assumed to be paid out in the last year of construction.
  • Public financing switch - PSC only: Please indicate whether the PSC will finance the project (0=> No financing, 1=> Financing). If No financing is selected, the project will be funded from the Agency's budget.
  • Cost of equity - P3 only: Please input the cost of equity (i.e., the "hurdle" equity rate of return) for the P3 concessionaire (in percent).
  • Gearing (ratio of debt to total capital) - P3 only: Please input the gearing for the P3 concessionaire (in percent, with the percentage reflecting the debt share of the total financing amount).
  • Debt repayment type switch (0 => Sculpting, 1 => Annuity): Please indicate the debt repayment type. If a sculpted repayment is selected, the debt repayment will be fully sculpted based on the Cash Flow Available for Debt Service (CFADS). Furthermore, under a sculpted repayment profile, interest capitalization during the first years of operations is also permitted. If an annuity-type (mortgage-style) repayment is selected, the debt service will be flat over time and no interest capitalization during operations will be allowed.
  • Debt maturity from first construction period: Please input the maturity for debt (in years), counting from the first construction period to the last repayment period.
  • Debt grace period after operations start - for annuity-type repayment only: Please input the debt grace period from the start of operations (in years).
  • Debt interest rate: Please input the project debt interest rate (in percent).
  • Equity bridge loan interest rate: Please input the equity bridge loan interest rate (in percent). The equity bridge loan is used to provide short-term financing that will be taken out by government subsidy. The equity bridge loan does not exist in the PSC as the Agency is assumed to prefinance any subsidy.
  • Debt issuance/arrangement fee: Please input the debt issuance/arrangement fee (as a percentage of the total debt amount).
  • Minimum required DSCR: Please input the minimum Debt Service Coverage Ratio (as a ratio of cash flow available for debt service in a given year divided by debt service for that year). The model uses a single DSCR value. In practice, P3 projects typically use multiple debt instruments. The value of the DSCR input should reflect the ratio of cash flow available for debt service in a given year divided by all combined debt service.
  • Interest rate for cash balances and reserve accounts: Please input the interest rate for cash balance and reserve accounts (in percent).
  • No. of months of DSRA required: Please input the number of months of debt service the Debt Service Reserve Account is required to hold.
  • Difference between AP WACC & TC WACC: Please enter the expected difference in Weighted Average Cost of Capital (WACC) between a toll concession and an availability payment concession (in percent). This difference in WACC is used to quantify the revenue uncertainty adjustment and lifecycle performance risk premium (see Part II).

Please note that the above listed inputs determine the financing conditions of the PSC and P3. When inputting these values, users should be aware that the financing conditions should reflect the financiers' exposure to risks (including revenue risk for P3 toll concessions). As explained in the section 4.4 on Risk Inputs, P3-VALUE 2.2 contains the option to use market-based financing conditions to quantify the revenue uncertainty adjustment and lifecycle performance risk premium.

4.3.4 Comparison Scenario Definition Inputs

The inputs listed below are used to define the three comparison scenarios. Users are not expected to change these inputs, which is why these cells have been grayed out.

  • PSC - Tolling case switch (0 => No toll, 1 => Toll): Please indicate whether or not the PSC will be tolled.
  • P3 - AP / Tolling switch (0 => AP, 1 => Toll concession): Please indicate whether the project will be an availability payment or toll concession.

Please note that the comparison scenario definition inputs are not accessible under the high-level view.

4.4 InpRisk: Risk Inputs

In the InpRisk sheet, users are expected to provide project risk information. P3-VALUE 2.2 recognizes three separate risk categories: pure risk, base variability risk, and lifecycle performance risk. Furthermore, the model uses a revenue uncertainty adjustment to account for revenue uncertainty. For a detailed discussion on how these risks are valued in the tool, please refer to Part II Section. The inputs required for each risk category are discussed below.

4.4.1 Pure Risk Inputs

Pure risks are also known as event risks and refer to individual risk events, such as an accident at the construction site. As a first input, the user must determine what probability level should be used for the pure risk analysis. The probability level is input as a percentage. Based on this percentage, the model determines the value of the pure risks at the given probability level. A sample input is shown below.

Probability level for pure risk analysis 70.00% %

Next, the user must provide detailed inputs for each individual pure risk. These risk inputs are separated into two tables: Construction period risk and operations period risks. Besides the fact that construction risks are expressed in total values whereas operation risks are expressed in value per year, the inputs for both risk groups are the same.

  • Risk label: Please enter/adjust the risk label to describe the pure risk considered (provided default values for the risk labels are for illustrative purposes only).
  • Probability: Please input the likelihood of occurrence for each risk item listed (in percent).
  • PSC most likely impact: Please input the most likely impact or consequence of the pure risk occurring (in thousands of dollars for construction period risks or thousands of dollars per year for operations period risk). This impact is a monetary value that reflects both the potential direct costs as well as the costs of any delays caused by the risk's occurrence.
  • P3 risk difference: Please enter the expected risk difference under P3 delivery relative to the PSC (in percent). The P3 risk difference is the expected percentage reduction in most likely risk impact under P3 compared to PSC. A positive value indicates a reduction in the most likely risk impact under P3. Based on this risk difference and the PSC most likely impact, the model calculates the most likely impact of the risk under P3.
  • P3 risk impact overwrite: Optionally, please enter the most likely impact of the considered risk item under P3 delivery (in thousands of dollars for construction period risks or thousands of dollars per year for operations period risks). If a value is provided in this cell, the model will use it as the P3 most likely risk impact for the considered risk item. In other words, it overwrites the most likely risk impact calculated using the P3 risk efficiency. If the cell is left blank, the model uses the most likely risk impact calculated using the P3 cost efficiency.
  • P3 transferred risks: Please enter the share of the P3 risk value that will be transferred from the Agency to the P3 concessionaire (in percent).
  • Minimum risk value: Please enter the minimum value of the risk, as a percentage reduction of the most likely risk value (in percent). For example, the input "-5.00%" would mean the minimum value of the impact is five percent less than the most likely value. The minimum risk value is listed under the risk distribution in InpRisk.
  • Maximum risk value: Please enter the maximum value of the risk, as a percentage increase of the most likely risk value (in percent). For example, the input "25.00%" would mean the maximum value of the impact is twenty-five percent more than the most likely value. The maximum risk is listed under the risk value distribution in InpRisk.
  • Risk value distribution: Please indicate the distribution of the risk as either uniform or triangular. (0 = Uniform, 1 = Triangular). The distribution is listed under the risk distribution in InpRisk.

The most likely risk value is calculated by multiplying the likelihood of occurrence of a risk with its most likely impact.

The following tables serve as an example for the pure risks inputs. User are required to input data in the yellow-shaded cells only.

Construction period risk inputs Probability PSC inputs Delayed PSC inputs P3 inputs Risk value distribution
  Parameters >> Likelihood of occurrence Most likely impact Most likely risk value Most likely impact Most likely risk value Most likely risk value Transferred risks P3 risk value Agency risk value Minimum risk value Maximum risk value Distribution
Risk label Units >> % USD k USD k USD k USD k USD k % USD k USD k % % 0=Uniform, 1=Triangular
Design risk Construction period risks* 30.00% 30,000 9,000 30,000 9,000 8,100 90.00% 7,290 810 -25.00% 50.00% 0
Engineering & construction risk Construction period risks* 50.00% 15,000 7,500 15,000 7,500 6,750 90.00% 6,075 675 -25.00% 50.00% 0
Planning & approval risk Construction period risks* 15.00% 5,000 750 5,000 750 675 90.00% 608 68 -25.00% 50.00% 0
Environmental risk Construction period risks* 50.00% 20,000 10,000 20,000 10,000 9,000 90.00% 8,100 900 -25.00% 50.00% 0
Right of way/utilities risk Construction period risks* 70.00% 10,000 7,000 10,000 7,000 6,300 90.00% 5,670 630 -25.00% 50.00% 0
Commercial/procurement risk Construction period risks* 15.00% 0 0 0 0 0 100.00% 0 0 -25.00% 50.00% 0
Latent defect Construction period risks* 15.00% 0 0 0 0 0 100.00% 0 0 -25.00% 50.00% 0
Force majeure Construction period risks* 15.00% 25,000 3,750 25,000 3,750 3,375 90.00% 3,038 338 -25.00% 50.00% 0
Political risk Construction period risks* 15.00% 5,000 750 5,000 750 675 90.00% 608 68 -25.00% 50.00% 0
Insurance risk Construction period risks* 15.00% 0 0 0 0 0 100.00% 0 0 -25.00% 50.00% 0
Public sentiment risk Construction period risks* 15.00% 0 0 0 0 0 100.00% 0 0 -25.00% 50.00% 0
Changes in law & policy Construction period risks* 15.00% 0 0 0 0 0 100.00% 0 0 -25.00% 50.00% 0
Operations period risk inputs Probability PSC inputs Delayed PSC inputs P3 inputs Risk value distribution
  Parameters >> Likelihood of occurrence Most likely impact Most likely risk value Most likely impact Most likely risk value Most likely risk value Transferred risks P3 risk value Agency risk value Minimum risk value Maximum risk value Distribution
Risk label Units >> % USD k p.a. USD k p.a. USD k p.a. USD k p.a. USD k p.a. % USD k p.a. USD k p.a. % % 0=Uniform, 1=Triangular
Latent defect Operations period risks* 70.00% 625 438 625 438 394 90.00% 354 39 -25.00% 50.00% 0
Operations risk Operations period risks* 30.00% 500 150 500 150 135 90.00% 122 14 -25.00% 50.00% 0
Maintenance risk Operations period risks* 30.00% 625 188 625 188 169 90.00% 152 17 -25.00% 50.00% 0
Force majeure Operations period risks* 15.00% 750 113 750 113 101 90.00% 91 10 -25.00% 50.00% 0
Insurance risk Operations period risks* 15.00% 0 0 0 0 0 100.00% 0 0 -25.00% 50.00% 0
Changes in law & policy Operations period risks* 15.00% 0 0 0 0 0 100.00% 0 0 -25.00% 50.00% 0
* Impacts correspond to both cost and schedule
4.4.2 Base Variability Inputs

Base variability refers to the uncertainty in cost estimates. P3-VALUE 2.2 enables users to specify a separate mark-up for base variability for the three project phases and different delivery models.

  • Base variability on pre-construction costs: Please input the variability on the pre-construction costs (as a percent of the pre-construction costs).
  • Base variability on construction costs: Please input the variability on the construction costs (as a percent of the construction costs).
  • Base variability on O&M costs: Please input the variability on the operations and maintenance costs (as a percent of the O&M costs).

Sample inputs for base variability are shown below.

Base variability inputs Unit PSC Delayed PSC P3
Base variability on pre-construction costs % 10.00% 10.00% 10.00%
Base variability on construction costs % 17.00% 17.00% 17.00%
Base variability on O&M costs % 10.00% 10.00% 10.00%
4.4.3 Lifecycle Performance Risk & Revenue Uncertainty Adjustment Inputs

Lifecycle performance risk refers to all risks that cannot be transferred to subcontractors but are retained by the P3 concessionaire. P3-VALUE 2.2 requires the user to specify what lifecycle performance risk calculation method to use. The options are:

  • Option 1: Use P3-VALUE 2.2's WACC-based risk premium calculation to determine the value of lifecycle performance risks.
  • Option 2: Use user-specified risk premium for the value of lifecycle performance risks.
  • Option 3: Do not value lifecycle performance risks, lifecycle performance risks are ignored in the analysis.

If the user selections option 2 (user-specified risk premium), the user must also input the input the lifecycle performance risk aggregate premium over the life of the project.

P3-VALUE 2.2 also allows adjusting revenues flowing to the procuring Agency for uncertainty. P3-VALUE 2.2 requires the user to specify what revenue uncertainty calculation method to use. The options are:

  • Option 1: Use P3-VALUE 2.2's WACC-based risk premium calculation to determine the value of revenue uncertainty adjustment.
  • Option 2: Use user-specified risk premium for the value of revenue uncertainty adjustment.
  • Option 3: Do not value revenue uncertainty adjustment, revenue uncertainty is ignored in the analysis.

If the user selections option 1 (WACC-based risk premium calculation) or option 2 (user-specified risk premium), the user must also input the following:

  • Delta between availability payment & toll concession WACC (in percent, option 1 only): Please input the difference in the weighted average cost of capital (WACC) if the project were to be implemented 1) as an availability payment transaction or 2) as a toll concession. This difference in WACC will be used to value the revenue uncertainty if option 1 is selected.
  • Revenue uncertainty adjustment (% of toll revenue collection, option 2 only): Please input the revenue uncertainty adjustment, expressed as a percentage of total toll revenue collection. This revenue percentage will be used to value the revenue uncertainty if option 2 is selected.

The following table shows sample inputs for the above listed parameters:

Lifecycle Performance Risk & Revenue Uncertainty Adjustment Inputs
Lifecycle performance risk calculation method (see options below) Option 1
Lifecycle performance risk aggregate premium (in million $, option 2 only) $400.0M
Revenue uncertainty adjustment calculation method (see options below) Option 1
Delta between availability payment & toll concession WACC (in percent, option 1 only) 1.60%
Revenue uncertainty adjustment (% of toll revenue collection, option 2 only) 28.00%

4.5 InpBCA: Benefit-Cost Analysis Inputs

In the InpBCA sheet, users are required to provide additional inputs for the benefit-cost analyses calculations embedded in the PDBCA. These inputs are not used in the VfM analysis. For a detailed discussion on how the various benefits are calculated, please refer to Part II. The inputs required for the various benefit calculations are discussed below.

4.5.1 Delay Inputs

The PDBCA module considers three different types of delays: Delays to travelers during construction and O&M activities and delays due to incidents. For the delays due to construction and O&M activities, the user is required to provide the following inputs:

  • Frequency of construction and O&M delays: Please provide how many construction or O&M days per year are expected for the different lanes (No Build, ML/TL, and GPL) and time period (peak, off-peak, and weekend).
  • Average duration of construction and O&M activity: Please provide the average duration of construction or O&M activities (in hours per construction or O&M day).
  • Average affected segment length: Please provide the average length of the segment that is affected by the delay due to construction or O&M activities (in miles).
  • Speed adjustment factor: Please provide the speed adjustment factor for delays due to construction or O&M activities (in percent reduction of the average speed prior to consideration of the construction or O&M activity).

The table below shows sample inputs for the number of construction and O&M days per year.

Frequency of construction and O&M delays
Parameters >> Construction days per year O&M days per year
Units >> days days
No Build - Peak 0 0
No Build - Off-peak 0 25
No Build - Weekends 0 20
ML/TL - Peak 0 0
ML/TL - Off-peak 200 25
ML/TL - Weekends 50 20
GPL - Peak 0 0
GPL - Off-peak 200 25
GPL - Weekends 50 20

The table below shows sample inputs for the average duration of delays.

Average duration of construction and O&M activity
Parameters >> Average duration of construction Average duration of O&M
Units >> hours/day hours/day
No Build 0 4.00
PSC 8.00 3.00
P3 7.50 2.75
Delayed PSC 8.00 3.00

The table below shows sample inputs for the average affected segment length and speed adjustment. For more background data on construction and O&M speed adjustment, please refer to Part II.

Affected segment length and speed adjustment
Parameters >> Average affected segment length Speed adjustment factor
Units >> miles %
Construction delays adjustment 4.00 45.00%
O&M delays adjustment 4.00 45.00%

The PDBCA module also considers delays due to incidents. Incident delay is related to the frequency of crashes or vehicle breakdowns and how easily those incidents are removed from the traffic lanes and shoulders. The basic procedure used to estimate incident delay in P3-VALUE 2.2 is to reduce the speed calculated by the model based only on recurring delay by a factor (i.e., a percent speed reduction). As discussed in Part II, the speed reduction factor accounts for the probability of incidents throughout the year and is therefore applied to all traffic on the entire considered highway section. The factor represents the effect of incidents on congested speeds estimated by the model. The user is expected to provide the annual average speed reduction due to incidents under the various delivery models. These factors may be estimated based on the congestion level - uncongested, moderate, heavy, severe or extreme - defined based on traffic volume per lane. Due to the relationship of traffic volume to queuing delay, the factor will increase quite dramatically with traffic volume. Table 2 below provides illustrative speed adjustment factors based on FHWA's TRUCE 3.0 model 6. These values may be used to develop inputs for the project under consideration.

Table 2: Illustrative Speed Adjustment Factors for Incidents (Based on TRUCE 3.0 Model)

Level of congestion Daily traffic volume per lane Speed adjustment factor
Uncongested Under 15,000 5%
Medium 15,001 -17,500 5%
Heavy 17,501 - 20,000 9%
Severe 20,001 - 25,000 18%
Extreme Over 25,000 23%

Sample inputs for these speed adjustments are shown below, assuming severe congestion in the No Build case and heavy congestion in the Build alternatives, with a small reduction in incident delay under a P3 option. For more background data on the speed adjustment related to incidents, please refer to Part II.

Speed adjustment for incident delays
Speed adjustment factor for incident delays - No Build 18.00% %
Speed adjustment factor for incident delays - PSC 9.00% %
Speed adjustment factor for incident delays - P3 8.50% %
Speed adjustment factor for incident delays - Delayed PSC 9.00% %
4.5.2 Accident Cost Inputs

The PDBCA module also considers the societal cost of accidents. In order to calculate these costs, the model requires users to enter accident rates and accident cost information for fatal accidents, injury accidents, and property damage only accidents, for the No Build and Build alternatives. Users will need to determine whether or not to expect a difference in accident rates between the No Build and Build alternatives based on the project's safety features. The table below shows sample inputs for accident costs, which assumes lower accident rates for the Build alternatives compared to the No Build alternative. For more background information on accident calculation and inputs, please refer to Part II.

Accident cost inputs Cost No Build Build
Units >> USD/accident #/m VMT #/m VMT
Fatal accidents 9,200,000 0.0109 0.0106
Injury accidents 500,000 0.7700 0.7500
Property damage only accidents 15,000 1.9000 1.8500

Source for fatal accident cost value: TIGER Benefit-Cost Analysis (BCA) Resource Guide, 2014
Source for accident rates: NHTSA Fatality Analysis Reporting System (FARS) database (http://www.nhtsa.gov/FARS)

Only the cost of a fatal accident is a default input value (assuming a single fatality, which should be reflected in the accident rate inputs, which are in terms of fatalities per VMT rather than fatal accidents per VMT). The TIGER BCA Resource Guide provides guidance on how users can calculate the value of injury and property damage only accidents, based on a detailed analysis of accidents in the considered corridor.

4.5.3 Travel Time Cost Inputs

P3-VALUE 2.2 requires inputs for vehicle occupancy (for 2-axle vehicles) and value of time to calculate travel time cost and savings. The vehicle occupancy for 4+ axle vehicles is assumed to be 1.00. The table below shows sample inputs for vehicle occupancy for 2 axle vehicles.

Vehicle occupancy Peak Off-peak Weekend
Units >> persons / vehicle persons / vehicle persons / vehicle
No Build / ML/LT / GPL 1.15 1.30 1.30

The model calculates the travel time cost and savings separately for 2 axle and 4+ axle vehicles, as well as transit and carpooling passengers, using different values of time for each vehicle type. The table below shows default inputs for value of time. However, as value of time is region specific, uses are free to use alternative values.

Value of time Constant Unit
Value of time - 2 axle 17.39 USD / hr / person
Value of time - 4+ axle 25.75 USD / hr / person
Value of time - transit passenger 10.00 USD / hr / person
Value of time - carpooling passenger 10.00 USD / hr / person

Source: TIGER Benefit-Cost Analysis (BCA) Resource Guide, 2014 (for 2 axle and 4+ axle only)

4.5.4 Transit & Carpooling Inputs

P3-VALUE 2.2 allows users to consider the societal benefits from potentially lower travel time cost for transit and carpooling passengers. To calculate these, the model uses an identical input structure as for traffic inputs (see Section 4.2.1 and Section 4.2.4), requiring users to provide a passenger forecast as well as indicating how passengers are split between peak, off-peak, and weekend.

4.5.5 Pavement Quality Inputs

P3-VALUE 2.2 also considers vehicle operating costs, including the potential impact of pavement quality on these costs. For that purpose, users must provide the expected pavement quality, using the International Roughness Index (IRI), measured in inches per mile. The table below shows sample inputs for the IRI.

Pavement quality Constant Unit
IRI - No Build 150 inch/mile
IRI - PSC 140 inch/mile
IRI - P3 130 inch/mile
IRI - Delayed PSC 140 inch/mile
4.5.6 Vehicle Operating Cost & Emissions Inputs

Next, the model requires vehicle operating costs for 2 and 4+ axle vehicles. Non-fuel costs are expressed in dollar per vehicle mile traveled whereas fuel costs are expressed in dollars per gallon. The following shows default inputs for non-fuel and sample inputs for fuel costs.

Vehicle operating costs Non-fuel cost Fuel cost
Units >> USD / VMT USD / gallon
2 axle 0.2978 2.5000
4+ axle 0.4470 2.4000

Source for 4+ axle non-fuel cost: ATRI An Analysis of the Operational Costs of Trucking, 2014 (average cost per mile excluding fuel, tolls and driver costs)

For the fuel cost, users may consult AAA's Daily Fuel Gauge Report (https://gasprices.aaa.com/) to determine the average current or historic fuel cost in a given state or region.

To account for the impact of pavement quality on vehicle operating costs, P3-VALUE 2.2 requires fuel and non-fuel cost adjustment factors for 2 and 4+ axle vehicles as a function of pavement quality (IRI), expressed as a percentage of their unadjusted values. The table below shows a selection of the default values for the pavement cost adjustment factors. P3-VALUE 2.2 contains a full set of IRI-adjusted inputs, with IRI values ranging from 0 to 450 inch per mile (increments of 25 inch per mile). For a more detailed discussion of fuel and non-fuel operating cost, please refer to Part II.

Pavement quality adjustment on fuel and non-fuel costs Fuel cost % adjustment Non-fuel cost % adjustment
Parameters >> 2 axle 4+ axle 2 axle 4+ axle
IRI % % % %
0 97.05% 96.07% 100.00% 100.00%
25 97.68% 96.53% 100.00% 100.00%
50 98.00% 97.04% 100.00% 100.00%
75 98.24% 97.53% 100.00% 100.00%
100 98.46% 97.99% 100.00% 100.00%
150 99.52% 99.31% 101.65% 101.84%
200 100.53% 100.74% 105.20% 105.78%
250 101.95% 102.57% 108.76% 109.73%
300 103.39% 104.68% 112.31% 113.67%
350 105.01% 107.03% 115.86% 117.62%
400 107.16% 109.96% 119.41% 121.57%
450 109.31% 112.89% 122.96% 125.51%

Source for fuel cost adjustment: Surface Characteristics of Roadways: International Research and Technologies (1990) and Vehicle-Road Interaction (1994)
Source for non-fuel cost adjustment: ARRB Research Board TR VOC Model (NCHRP Report 720: Estimating the Effects of Pavement Condition on Vehicle Operating Costs)

Lastly, the model requires inputs for fuel consumption and emissions costs for 2 and 4+ axle vehicles as a function of speed of travel. The table shows a selection of the default values for the fuel consumption and emission costs. P3-VALUE 2.2 contains a full set of speed-adjusted inputs, with speeds ranging from 1 to 80 miles per hour (in increments of 1 mile per hour).

Vehicle speed adjustment on fuel and emission costs Fuel consumption Emission costs
Parameters >> 2 axle 4+ axle 2 axle 4+ axle
IRI gallon/mile gallon/mile USD/VMT USD/VMT
5 0.1439 0.2234 0.0753 0.1148
10 0.1074 0.1714 0.0600 0.0936
20 0.0670 0.1032 0.0433 0.0649
30 0.0485 0.0738 0.0358 0.0525
40 0.0405 0.0617 0.0326 0.0475
50 0.0390 0.0596 0.0320 0.0469
60 0.0433 0.0662 0.0336 0.0505
70 0.0515 0.0810 0.0368 0.0583
80 0.0520 0.0950 0.0370 0.0686

Source for fuel consumption: California Air Resources Board, EMFAC2011, 2011 & 2031 average
Sources for emission costs: TIGER Benefit-Cost Analysis (BCA) Resource Guide, 2014 and Environmental Protection Agency's MOVES software

For more information on the calculation of emission costs, please refer to Part II 5.9.

Footnotes

5 https://www.fhwa.dot.gov/planning/tmip/publications/other_reports/
delay_volume_relations/ch04.cfm

6 See TRUCE 3.0 Users Guide available at: https://ops.fhwa.dot.gov/congestionpricing/value_pricing/tools/truce_model_guide.htm

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