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{"sheet":"Instructions","index":0,"n_rows":117,"n_cols":3,"rows_kept":117,"cut":false,"hidden":false,"merged":[[138,2,138,11],[135,2,135,11],[136,2,136,11],[137,2,137,11]]}
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[null,"Concessionary Travel for Older and Disabled People: Guidance on Reimbursing Bus Operators (England)"]
[null,"Reimbursement Calculator"]
[]
[null,"Version 4.0  - November 2022"]
[null,"Introduction"]
[null,"This spreadsheet tool is designed to assist Travel Concession Authorities (TCAs) and operators in calculating reimbursement due from concessionary fares schemes. It should be used in conjunction with the appropriate written DfT guidance, the latest version of which can be found on the DfT website."]
[null,"The written guidance and this calculator set out DfT preferred methodology for calculating reimbursement based on the best available evidence. TCAs may use the methodology of their choice in calculating reimbursement for bus operators, subject to ensuring that operators are left no better, no worse off as a result of their participation into the scheme."]
[]
[null,"This Calculator is subdivided into 7 separate worksheets. The Start Page, the Average Fares (AF) Model, the Reimbursement Factor (RF) Model, the Additional Costs (AC) Model, the Marginal Capacity Cost Model (MCC) and the Results Page. The 'Update Inflation' sheet allows users to update the CPI Index and GDP Deflator. The steps within each of these worksheets are described below. Additional hidden worksheets contain the detailed calculations underpinning the calculations for Average Fares and the Reimbursement Factor. All Additional Costs calculations are done in the model sheets. A worked example for MCC costs is provided in 'MCC example' and the 'PTE' and 'Non-PTE' sheets show the derivation of the Single Demand Curve. Hidden sheets can be 'unhidden' by going to Format\\Sheet\\Unhide. Some worksheets or cells may be protected to prevent overwriting formulae by mistake. A worksheet can be unprotected by going into Tools\\Protection\\Unprotect Sheet. Annex H of the guidance includes some worked examples based on this Calculator."]
[null,"Calculator cells are colour-coded as follows:"]
[null,"User input          "]
[null,"Calculation or DfT assumption that cannot be overwritten          "]
[null,"Output (Intermediate/Final)          "]
[]
["Note Reference","Instructions","Paragraph reference in DfT guidance"]
[null,"Start Page (Step 1)"]
[1,"Choose the suitable area type (PTE or Non PTE).","6.11-6.17"]
[2,"Choose the suitable period/year for which reimbursement is being calculated."]
[3,"Enter the number of observed concessionary journeys in the relevant period/year.","4.1-4.2"]
[]
[null,"Average Fare Calculator (Step 2)"]
[4,"Choose the appropriate method with which to calculate the average fare forgone in Cell [C10]. The choices available are presented by buttons. Clicking on the  \"Discount Factor\" button directs users to Cell [B16] to use the Discount Factor Calculator. Clicking on the \"Basket of Fares\" button directs users to Cell [B33] to use the basket of fares template. Clicking on the \"Enter Average Fare\" button directs users to Cell [C10] where the average fare forgone can be entered directly. Please refer to the guidance for application guidelines and advice on which method to use (Table 5.1).","5.5-5.13"]
[5,"The Discount Factor Method","5.14-5.37, H.6-H.28"]
[null,"This method, The Discount Factor Method, consists in calculating a discount factor to adjust the full commercial adult cash fare so as to reflect the fact that in the absence of free-fare schemes, individuals would buy cash fares as well as discounted tickets. The discount factor is based on the prevailing ticket price structure of an operator and the journey distribution of concessionary travellers at zero fare suitably abated to allow for degeneration. There are two options. First option: (1) Clicking on the \"Use template to calculate change in fares\" will take users to Cell [B55] where the template can be used to estimate the cash fare. Then clicking on the \"Calculate daily ticket price\" button takes users to Cell [B69] which contains the appropriate template. Followed by clicking on the \"Calculate weekly\" button takes users to Cell [B83] where the appropriate template is available. Clicking on the \"Done\" button after entering appropriate values will redirect users to the next step and the associated Average Fare Foregone in [C10]. Second option:  (2) Clicking on the \"Enter average ticket prices directly\" will take users to Cell [C21] where average fares for cash fares, daily and weekly tickets can be entered."]
[6,"Enter the average cash fare for the calculation period.","5.22-5.29"]
[7,"Enter the average daily fare for the calculation period. If there are no daily tickets available, click on button 'No daily tickets' and the Calculator will automatically derive allocations based on cash fares and weekly tickets.","5.22-5.29"]
[8,"Enter the average weekly fare or the calculation period. If there are no weekly tickets available, click on button 'No weekly tickets' and the Calculator will automatically derive allocations based on cash fares and daily tickets.","5.22-5.29"]
[9,"Discount factor before degeneration: This is the discount factor at zero fares.","H.17-H.21"]
[10,"FINAL discount factor after degeneration: This is the discount factor at full fares.","H.22-H.28"]
[11,"Discounted average fare (forgone): this is the average cash fare discounted by the discount factor.","5.34-5.35"]
[12,"This table shows the final allocation of ticket types. If, the proportion of daily or period ticket to cash fare ticket sales is higher for concessionary passengers than current fare paying passengers, the discount method may not be appropriate.","5.10"]
[13,"Basket of Fares Method","5.38-5.47"]
[null,"This method allows to estimate the effective discount rate by calculating a weighted average fare per journey from assumed usage of different commercial ticket types."]
[14,"Type of Ticket: Enter all the ticket types that would have been purchased by concessionary passholders in the absence of the scheme. Operators or survey evidence will be helpful in deciding which tickets to include.","5.40-5.41"]
[15,"Price £: Enter the respective commercial price of each type of ticket that would have been purchased by concessionary passholders in the absence of the scheme.","5.40-5.41"]
[16,"Assumed journeys per ticket purchased: Enter assumed number of journeys typically made by holders of each ticket type. Although this is reasonably obvious for single and return tickets, it requires some judgements to be made on the use of pass-type tickets. Again hard evidence from operators or surveys will be helpful in deciding what assumptions to make here.","5.42-5.43"]
[17,"Implied Revenue per journey £: This is the ticket price for each ticket type divided by the number of journeys typically made by concessionary passholders.",5.45]
[18,"% of total journeys with this ticket type: Assumed proportion of total journeys that are made by eligible concessionaires in the absence of the scheme using each type of ticket. These must add up to 100 per cent.",5.44]
[19,"Weighted Revenue per Ticket: This is the implied revenue per journey multiplied by the percentage share of journeys made with each ticket type.","5.45-5.46"]
[20,"Weighted Average Fare: This is the average fare foregone calculated under the basket of fares method."]
[21,"Average Fare Foregone: This cell displays the final average fare foregone to be used in the calculation of the appropriate reimbursement factor based on the chosen method of calculation."]
[]
["22a","Reimbursement Factor Calculator (Step 3)"]
[null,"Reimbursement Factor Calculator: The reimbursement factor is the proportion of total concessionary journeys made at zero fare that are estimated to be made if the concessionaires were to pay full fare. The reimbursement rate is calculated based on the appropriate demand curve and the change in the average fare foregone calculated in the AF Worksheet.","6.4-6.10"]
["22b","In this section users can opt for one of three methods to input a change in fares in the Model using the appropriate buttons. In all cases, from 2010/11 onwards, it is the operator-specific fare that is used except in the case of new operators. Option (1) The change in operator-specific nominal fares between 2005/06 and the year of calculation is used. Option (2) The change in TCA-wide nominal fares between 2005/06 and 20010/11 is used. From 2010/11, the change in operator specific fares is used. Option (3) In the absence of appropriate data, a national bus index and the CPI index can be used between 2005/06 and 2010/11 and then the change in operator-specific fares from 2010/11. for new operators, the change in TCA wide nominal average fare between 2005/6 and current reimbursement period can be entered. However, there are many other combinations possible based on data availability and that TCAs and operators may end up having to use combinations of years which are not operationalised in the calculator. Please refer to guidance for advice on how to combine percentage changes over different years to calculate a compound percentage change across the whole period - the figure can be entered in Cell [C30]. It is important to use fare data on a like-with-like basis (i.e. covering a similar range of services) when making comparisons over time.","6.11-6.41, H.29"]
[23,"Area Type: Displays the relevant area type (PTE or Non-PTE) that was chosen in the Start Page. ","6.11-6.41, H.29"]
[24,"Year: Displays the relevant period for which reimbursement is being calculated as chosen in the Start Page.","6.11-6.41, H.29"]
[25,"Current Average Fare: Displays the average fare forgone for the period for which reimbursement is being calculated in the Average Fare Calculator.","6.11-6.41, H.29"]
[26,"Reimbursement Factor: Generates the reimbursement factor from the single demand curve for the area type and average fare forgone based on the changes in local fares (PTE or non-PTE)","6.11-6.41, H.29"]
[27,"Option (1) - Percentage change in the operator specific nominal fares between 2005/06 and the period for which reimbursement is being calculated: This is estimated from comparable operator fare data, and is a nominal change. It is entered as a percentage. ","6.11-6.41, H.29"]
[28,"Option (2) - TCA-wide change in nominal average fares. Two data items need to be entered: the change in TCA-wide nominal fares from 2005/06 to 2010/11 and from 2010/11 to the reimbursement period (for reimbursement periods beyond 2010/11) the change in the operator-specific nominal fares.","6.11-6.41, H.29"]
[29,"Enter TCA-wide change in nominal fare between 2005/06 and 2010/11. This is the percentage change in the TCA average fare between 2005/06 and 2010/11 in nominal terms. It is entered as a percentage. ","6.11-6.41, H.29"]
[30,"Enter operator specific change in nominal fare between 2010/11 and current reimbursement period (if reimbursement is calculated in latter years). This is the percentage change in the operator specific fare for comparable operator fare data, and is a nominal change. It is entered as a percentage. ","6.11-6.41, H.29"]
[31,"Option (3) - National Bus Fare Index: This is the average change in fares by broad area derived from the DfT’s bus fare index, but using general estimates for 2005/06 and 2010/11 for which comparable data is not available. The Calculator already holds this data, so there is no need to enter data apart operator-specific data from 2010/11 onwards. Cell [C40] displays the nominal change in fares based on the Bus Index between 2005/06 and 2010/11 for ease of reference.","6.11-6.41, H.29"]
[32,"Percentage change in operator specific nominal fare 2010/11 and current reimbursement period. This is the percentage change in the operator specific fare for comparable operator fare data, and is a nominal change. It is entered as a percentage. ","6.11-6.41, H.29"]
[33,"New operator: This is the section for operators who are new or who have had significantly changed services since 2010/11. ","6.11-6.41, H.29"]
[34,"Enter TCA wide change in nominal fare between 2005/06 and current reimbursement period: This is the percentage change in the TCA average fare between 2005/06 and current reimbursement period in nominal terms. It is entered as a percentage.","6.11-6.41, H.29"]
[]
[35,"Additional Costs Calculator (Step 4)"]
[null,"Additional costs include up to 4 distinct elements. These are scheme administration costs, marginal operating costs (MOCs) marginal capacity costs (MCCs) and Peak Vehicle Requirement (PVR). ","7.1-7.5"]
[36,"Reimbursement Period and Area Type: Displays the reimbursement period and area type chosen in the Start Page"]
[37,"Administration costs are those costs to the operator from the scheme such as publicity, timetables etc. "]
[38,"Enter Administration Costs: Enter locally determined administration costs","7.6-7.8"]
[39,"Marginal Operating Costs: These are the additional costs to the operator for carrying one additional passenger assuming a fixed service level and include fuel, tyres and oil, maintenance etc.","7.9-7.10"]
[40,"Fixed Element (£): This is the fixed component of the marginal operating costs per additional concessionary passenger. This is equal to 5.5p in 2009/10 prices. The Calculator will automatically convert this into real prices, i.e. into prices in the current year of calculation.","7.12-7.14"]
[41,"Journey Length: The marginal operating cost can also be varied by journey length. You can either use the default national average journey length (NTS) of 3.9 miles, or choose a journey length that is locally derived. If there is evidence to suggest that the local journey length is significantly different from this default, choose \"Use Local Trip Length in the drop down menu in Cell [C15] to enter a locally derived journey length in Cell [D16].","7.12-7.14"]
[42,"Variable Element (£): This calculates the variable element of the marginal operating cost with the chosen average journey length. The variable element is 0.6p x AvgJourneyLength / 3.9 miles (in 2009/10 prices).  The Calculator will automatically convert this into real prices, i.e. into prices in the current year of calculation.","7.12-7.14"]
[43,"Total Marginal Operating Costs: Displays total marginal operating costs uprated to the year of calculation (this has been uprated to prices in the year of calculation).","7.12-7.14"]
[44,"Marginal Capacity Costs Button: Click on this button to get to the MCC Model. Marginal Additional Capacity Costs are the costs to the operator of carrying additional passengers and allowing the additional capacity of the bus to increase by using the existing fleet of buses more intensively to provide increased frequency. ","7.18-7.58, H.48-H.59, I1-I21"]
[45,"Peak Vehicle Requirement Costs: These are the costs associated with the requirement to run additional vehicles in the peak period due to generated concessionary travel. Where the operator supplies information for a claim for additional peak vehicle costs.","7.59-7.74"]
[46,"Enter total Peak Vehicle Requirement Costs ","7.59-7.74"]
[]
[null,"Marginal Capacity Costs Model (Step 5)","7.18-7.58, H.48-H.59, I1-I21"]
[47,"This Calculator can be used to estimate MCCs for a whole network (use the first line only) or for a subset of networks (use multiple lines). To activate calculation for a particular line, select 'Yes' in dropdown menu.  There is a presumption that marginal capacity costs could potentially apply to all routes within a network. However, it is not expected that there will be positive marginal capacity costs on every route. It is advised that the Calculator should be at network level or for a subset of routes within a network, i.e. route data should be aggregated into a network line (see Annex J of Guidance for advice on aggregation). The guidance also advises that users should avoid mixing local and default values. Please refer to guidance Paragraphs 7.22-7.32.","7.18-7.58, H.48-H.59, I1-I21"]
[48,"Enter Network/Subset of networks description. The analysis can be done for a whole network or for separate mini-networks of routes sharing similar characteristics.","7.25-7.27"]
[49,"The Generation Factor derived from the Reimbursement Factor estimated in the RF model.",7.56]
[50,"The total concessionary journeys on a network/subset of networks."]
[51,"Mohring Power: This is the relationship between demand and bus service level. This is set at 0.6 as a network average and applied to the whole network/subsets of networks. ","7.33-7.34, E.64"]
[52,"Unit cost per vehicle hour: the default average value is £13.30 per veh/hour in 2009/10 prices. The guidance recommends that the default values should be used even when using local data for other inputs due to the difficulty in estimating a true marginal unit cost from local data. It should be noted that the DfT default value for vehicle hour costs is likely to be an overestimate of the true unit cost (in particular, it includes London).  However, if TCAs can satisfy themselves that locally derived values are an accurate measure of the true marginal costs and can be validated, then a local value may be used. Please refer to Paragraphs 7.42-7.45 and E.56-E.59 of the guidance. The amount is adjusted for inflation to the year of calculation. ","7.41-7.44, E.56-E.59"]
[53,"Unit cost per vehicle mile: the default average value is £0.70 per veh/mile in 2009/10 prices. The guidance recommends that the default value should be used even when using local data for other inputs due to the difficulty in estimating a true marginal unit cost from local data. However, if TCAs can satisfy themselves that locally derived values are an accurate measure of the true marginal costs and can be validated, then a local value may be used. Please refer to Paragraphs 7.42-7.45 and E.60-E.61 of the guidance. The amount is adjusted for inflation to the year of calculation. ","7.41-7.44, E.60-E.61"]
[54,"Speed (miles per hour): This is the average bus speed (including turn times and recover times but excluding planned breaks) for the network/subset of networks. The default value is a national average of 8.79 miles/hour for PTE areas and 10.03 miles for Non-PTE areas (first line). If there is evidence to suggest that bus speed for your local area is significantly different from these averages, choose \"Use Local Value\" from the drop down menu in the second line and enter local value in second line. The Comparison of Urban Bus Systems (CUBS) website (follow link: http://cubs.reseaulutions.com/towninformation-overview.php) contains average bus speed data by area type.","7.37-7.40"]
[55,"Mean Vehicle Occupancy: The default average is 10 passengers per bus mile. If there is evidence to suggest that the mean vehicle occupancy for the local area under consideration is different, choose \"Use Local Value\" in the drop down menu and enter local average in the second line. An estimate of average occupancy can be calculated from passenger journeys x journey length / vehicle miles.","7.37-7.40"]
[56,"Mean journey length: The default average is 3.1 miles in PTEs and 3.6 miles in NPTEs. If there is evidence to suggest that the mean journey length for the local area under consideration is different, choose \"Use Local Value\" in the drop down menu and enter local average in the second line. A rule of thumb that the average journey length is 50 per cent of the route length may be used although TCAs/operators may wish to take account of how this relationship may vary for different types of services based on local evidence.","7.37-7.40"]
[57,"Mean route length: The default average is 6.2 miles in PTEs and 7.1 miles in NPTEs. If there is evidence to suggest that the mean route length for the local area under consideration is different, choose \"Use Local Value\" in the drop down menu and enter local average in the second line.","7.37-7.40"]
[58,"Average Commercial Fare: Enter the locally derived average commercial fare in the relevant reimbursement period for the network/subset of networks. This includes commercial adults and full-fare paying children.","7.49-7.51"]
[59,"Commercial journeys as a percentage of total journeys: The default average value provided is 60%. If there is evidence to suggest that commercial journeys as a percentage of the total is significantly different, choose \"Use Local Value\" from the drop down menu and enter local value in second line. Commercial journeys include adults and full-fare paying children.","7.45-7.48"]
[60,"This is the service or frequency elasticity. It measures the responsiveness of demand to changes in frequency. It is set at 0.66 as a network average and is applied to the network/subsets of networks.","7.52, E.65-E.66"]
[61,"This is the calculated rate of net marginal capacity cost per additional (generated) concessionary passenger by for the network/subset of routes. It allows for inflation to the year of calculation and is capped at £0.00 (is not allowed to be negative).","7.18-7.58, H.48-H.59, I1-I21"]
[62,"This is the total amount of marginal capacity cost for the network/each subset of routes. It is calculated as generation factor x concessionary journeys on network/subset of routes x MCC per generated journey. It allows for inflation to the year of calculation.  ","7.18-7.58, H.48-H.59, I1-I21"]
[63,"This is the total generated concessionary journeys on the network (summed across all activated lines). An error message appears if the total is different from the figure entered on the start page.","7.18-7.58, H.48-H.59, I1-I21"]
[64,"This is the total marginal capacity costs on the network (summed across all activated lines)","7.19-7.59, H.45-H.59, I.1-I.21"]
[]
[65,"Result Page (Step 6)","Annex D"]
[66,"Observed Concessionary journeys: Displays the number of concessionary journeys observed in the relevant reimbursement period as entered in the Start Page."]
[67,"Average Fare Forgone: Displays the average fare forgone as derived in AF Model."]
[68,"Reimbursement Factor: Displays the reimbursement factor as derived in the RF Model."]
[69,"Total Reimbursement for Revenue Forgone: Calculated as Observed Concessionary journeys x Reimbursement Factor x Average Fare Forgone."]
[70,"Generation Factor: This is the 1- Reimbursement Factor%."]
[71,"Additional Marginal Operating Cost per Journey: Displays the marginal operating cost per journey calculated in the AC Model."]
[72,"Total Marginal Operating Costs: calculated as total concessionary journeys x Generation Factor x MOC in pence per journey."]
[73,"Display Scheme Administration Costs entered in AC model."]
[74,"Total Marginal Capacity Costs calculated in MCC model."]
[75,"PVR Costs: Displays Peak Vehicle Requirement Costs entered in AC Model."]
[76,"Total Reimbursement for Additional Costs: Calculated as Generation Factor x Concessionary journeys x (Marginal Operating Cost per journey  + Marginal Capacity Cost per journey) + Peak Vehicle Requirement costs."]
[77,"Total Reimbursement: Calculated as Total Reimbursement for Revenue Forgone + Total Reimbursement for Additional Costs."]
[]
[null,"Update Inflation Index"]
[78,"A facility is provided to update the CPI Index and GDP Deflator when new data is published. The CPI Index and GDP Deflator are used to convert nominal changes in fares into real changes in fares for the purpose of calculating the RF and to update costs to the year of calculation (e.g. MOC, unit costs). The data can be obtained from the links given in Rows 23 and 24. The CPI Index will be a number such as e.g. 123.2. For a given year, it is the value of the Index at March which should be used. The GDP Deflator will be expressed as a % (e.g. 2.3%) and can be found in column D of the Spreadsheet whose link is given in Row 18."]
[79,"In Cells [C27:C39] enter updated CPI Index values obtained from the link given above. The data which was published at the time of the publication of the guidance can be seen in Cells [B3:C21]."]
[80,"In Cells [D27:D39] enter updated GDP Deflator values obtained from the link given above. The data which was published at the time of the publication of the guidance can be seen in Cells [B3:C21]."]
[81,"When the new data has been entered, click on the 'Update Index' button. The inflation series will be automatically updated and appear in Cells [I3:I18] - this then feeds through to Cells [F3:F21] in  'RF Workings' in . Where values have been entered both for the CPI Index and the GDP Deflator for a given year in Cells [C27:D39], the Calculator will give preference to the CPI Index as this is based on actual values rather than forecasts."]
[82,"Click on 'Revert to Original' to revert to the original data series."]

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[null,"Start Page"]
[]
[1,"Area Type",null,null,null,null,"Non-PTE"]
[2,"Year",null,null,null,null,"2023/24"]
[]
[3,"Observed Concessionary Journeys"]

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[null,"Average Fare Calculator"]
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[4]
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[]
[]
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[21,"Average Fare Foregone"]
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[]
[]
[]
[]
[5,"Discount Factor Method"]
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[]
[]
[null,"Ticket prices (£)",null,null,null,null,12]
[6,"Average cash fare ",{"$error":"#DIV/0!"},null,null,null,"Final allocation of tickets (after degeneration)"]
[7,"Average daily ticket price",{"$error":"#DIV/0!"},{"$f":"IF(OR('AF Workings'!D6>10,'AF Workings'!W6>10), \"Warning: Ratio of daily to cash fares not in Lookup - use Basket of Fares\",\"\")","v":{"$error":"#DIV/0!"}},null,null,"Ticket Type","%"]
[8,"Average weekly ticket price ",{"$error":"#DIV/0!"},null,null,null,"Cash Fare",{"$f":"'AF Workings'!$AG$25","v":{"$error":"#DIV/0!"}}]
[null,null,null,null,null,null,"Daily",{"$f":"'AF Workings'!$AG$26","v":{"$error":"#DIV/0!"}}]
[9,"Discount factor before degeneration",{"$f":"'AF Workings'!$H$18","v":{"$error":"#DIV/0!"}},null,null,null,"Weekly",{"$f":"'AF Workings'!$AG$27","v":{"$error":"#DIV/0!"}}]
[]
[10,"FINAL discount factor",{"$f":"'AF Workings'!$AG$18","v":{"$error":"#DIV/0!"}}]
[]
[11,"Discounted Average Fare",{"$f":"C21-(C21*C27)","v":{"$error":"#DIV/0!"}}]
[]
[]
[]
[13,"Basket of Fares Method"]
[null,14,15,16,17,18,19]
[null,"Type of ticket","Price £","Assumed journeys per ticket purchased","Implied revenue per journey (£s)","% of total journeys with this ticket type","Weighted revenue per ticket"]
[null,"<Insert ticket type here>",null,null,{"$f":"IF(D36=\"\",\"\",C36/D36)","v":""},null,{"$f":"IF(OR(C36=\"\",D36=\"\",F36=\"\"),\"\",F36*E36)","v":""}]
[null,"<Insert ticket type here>",null,null,"",null,""]
[null,"<Insert ticket type here>",null,null,"",null,""]
[null,"<Insert ticket type here>",null,null,"",null,""]
[null,"<Insert ticket type here>",null,null,"",null,""]
[null,"<Insert ticket type here>",null,null,"",null,""]
[null,"<Insert ticket type here>",null,null,"",null,""]
[null,"<Insert ticket type here>",null,null,"",null,""]
[null,"<Insert ticket type here>",null,null,"",null,""]
[null,"<Insert ticket type here>",null,null,"",null,""]
[null,"<Insert ticket type here>",null,null,"",null,""]
[null,"Total",null,null,null,{"$f":"SUM(F36:F46)","v":0}]
[20,"Weighted Average Fare:",null,null,null,null,{"$f":"SUM(G36:G46)","v":0}]
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[]
[]
[]
[22,"Estimation of Average Fare Foregone using Discount Fare Method - Template"]
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[23,"CASH FARE",24,25,26]
[null,"Product","Single journey multiplier","Number of tickets sold","Total revenue (£)","Equivalent number of journeys"]
[null,"<Insert ticket type here>",null,null,null,{"$f":"C57*D57","v":0}]
[null,"<Insert ticket type here>",null,null,null,0]
[null,"<Insert ticket type here>",null,null,null,0]
[null,"<Insert ticket type here>",null,null,null,0]
[null,"<Insert ticket type here>",null,null,null,0]
[null,"<Insert ticket type here>",null,null,null,0]
[null,"<Insert ticket type here>",null,null,null,0]
[null,"<Insert ticket type here>",null,null,null,0]
[null,"Total all cash fares",null,null,{"$f":"SUM(E57:E64)","v":0},{"$f":"SUM(F57:F64)","v":0}]
[null,"Average cash fare (per journey)",null,null,null,{"$f":"E65/F65","v":{"$error":"#DIV/0!"}}]
[]
[]
[null,"DAY TICKETS"]
[null,"Product","Number of tickets sold","Total revenue (£)"]
[null,"<Insert ticket type here>"]
[null,"<Insert ticket type here>"]
[null,"<Insert ticket type here>"]
[null,"<Insert ticket type here>"]
[null,"<Insert ticket type here>"]
[null,"<Insert ticket type here>"]
[null,"<Insert ticket type here>"]
[null,"<Insert ticket type here>"]
[null,"Total all day tickets",{"$f":"SUM(C71:C78)","v":0},{"$f":"SUM(D71:D78)","v":0}]
[null,"Average day ticket price",null,{"$f":"D79/C79","v":{"$error":"#DIV/0!"}}]
[]
[]
[null,"WEEKLY TICKETS"]
[null,"Product","Number of tickets sold","Total revenue (£)"]
[null,"<Insert ticket type here>"]
[null,"<Insert ticket type here>"]
[null,"<Insert ticket type here>"]
[null,"<Insert ticket type here>"]
[null,"<Insert ticket type here>"]
[null,"<Insert ticket type here>"]
[null,"<Insert ticket type here>"]
[null,"<Insert ticket type here>"]
[null,"Total all weekly tickets",{"$f":"SUM(C85:C92)","v":0},{"$f":"SUM(D85:D92)","v":0}]
[null,"Average weekly ticket price",null,{"$f":"D93/C93","v":{"$error":"#DIV/0!"}}]

{"sheet":"RF model","index":3,"n_rows":48,"n_cols":4,"rows_kept":48,"cut":false,"hidden":false,"merged":[]}
["22a","Reimbursement Factor Calculator"]
[]
["22b","Choose option for change in fares"]
[23,"Area Type",{"$f":"'Start Page'!$G$3","v":"Non-PTE"}]
[24,"Year",{"$f":"'Start Page'!$G$4","v":"2023/24"}]
[25,"Current Average Fare Forgone",null,"Fare from Average Fare Model"]
[]
[]
[]
[]
[]
[]
[]
[26,"Reimbursement Factor",{"$f":"'RF Workings'!G55","v":{"$error":"#DIV/0!"}}]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,"OPTIONS"]
[]
[27,"Option (1) Percentage change in operator-specific nominal  fares between 2005/6 and the current reimbursement period "]
[]
[]
[28,"Option (2) TCA-wide change in nominal average fares"]
[]
[29,"Enter TCA-wide percentage change in nominal fare between 2005/6 and 2010/11"]
[30,"Enter operator-specific percentage change in nominal fare between 2010/11 and current reimbursement period"]
[]
[31,"Option (3) National Bus Fare Index"]
[32,"Percentage change in operator specific nominal fare between 2010/11 and current reimbursement period"]
[null,"National Bus Index - Nominal increase between 2005/06 and 2010/11",{"$f":"IF(C4=\"Non-PTE\",'RF Workings'!$G$44,'RF Workings'!$F$44)","v":0.20648164310234507}]
[]
[33,"New Operator"]
[]
[]
[]
[]
[]
[34,"Enter TCA-wide percentage change in nominal fare between 2005/6 and current reimbursement period"]

{"sheet":"AC model","index":4,"n_rows":29,"n_cols":4,"rows_kept":29,"cut":false,"hidden":false,"merged":[]}
[35,"Additional Costs Calculator"]
[]
[36,"Reimbursement Period",null,{"$f":"'Start Page'!$G$4","v":"2023/24"}]
[null,"Area type",null,{"$f":"'Start Page'!$G$3","v":"Non-PTE"}]
[]
[]
[37,"Administration Costs"]
[]
[38,"Enter Local Administration Cost of Scheme (£)",null,0]
[]
[]
[39,"Marginal Operating Costs"]
[]
[40,"Fixed Element (£)",null,{"$f":"0.055*(VLOOKUP('Start Page'!G4,'RF Workings'!$E$3:$G$21,2,TRUE)/'RF Workings'!$F$7)","v":7.8599488441995477E-2}]
[41,"Journey Length (miles)","Use Local Trip Length",{"$f":"IF(C15=\"Use Default Trip Length\",3.9,\"\")","v":""}]
[null,null,{"$f":"IF(C15=\"Vary by local trip length\",\"Enter Local Trip Length\",\"\")","v":""}]
[42,"Variable Element (£)",null,{"$f":"IF(C15=\"Use default trip length\",0.006,0.006*(D16/3.9))*(VLOOKUP('Start Page'!G4,'RF Workings'!$E$3:$G$21,2)/'RF Workings'!$F$7)","v":0}]
[43,"Marginal Operating Cost per generated journey",null,{"$f":"D17+D14","v":7.8599488441995477E-2}]
[]
[]
[null,"Marginal Capacity Costs"]
[]
[44]
[]
[]
[]
[]
[45,"Peak Vehicle Requirement Costs"]
[46,"PVR Costs (£)",null,0]

{"sheet":"MCC Model ","index":5,"n_rows":159,"n_cols":53,"rows_kept":159,"cut":false,"hidden":false,"merged":[[0,0,0,1]]}
["Marginal Capacity Cost Calculator",null,null,null,"Area Type",{"$f":"'Start Page'!$G$3","v":"Non-PTE"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"MODEL INPUTS"]
[null,null,null,null,"Year",{"$f":"'Start Page'!$G$4","v":"2023/24"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"PTE","Non-PTE"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Detailed workings are on the right     ®",null,"Overall speed incl turns",8.7857142857142865,10.027714285714286,"   miles per hour"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"[Select Cols X and BB and",null,null,null,"Default Mean Vehicle Occupancy",10,10,"   passengers per bus miles"]
[null,null,null,null,null,null,null,null,null,"Use Default",null,null,null,null,null,null,null,null,null,null,null,"go to Format\\Column\\Unhide",null,null,null,"Mean Journey Length",3.1068559609999999,3.5728843349999999,"   miles"]
[null,null,null,null,null,null,null,null,null,"Use Local Value",null,null,null,null,null,null,null,null,null,null,null,"to unhide columns]",null,null,null,"Mean Route Length",6.2137119219999999,7.1457686799999998,"   miles"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Default Percentage of Commercial Journeys",0.6,0.6]
[null,null,"Total Concessionary Journeys",null,63,{"$f":"IF(D8='Start Page'!G6,\"\",\"NOTE - number of concessionary journeys does not equal the number entered on the start page\")","v":""},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Total net marginal capacity costs",{"$f":"SUM(W11:W160)","v":0},64,null,"Base frequency",6,6,"   buses/hr"]
[47,48,49,50,51,52,null,53,null,54,null,55,null,56,null,57,null,58,59,null,60,61,62]
["Activate calculation","Network/Subset of networks","Generation Factor","Total Concessionary Journeys on Network/Subset of networks","Mohring Power","Cost/Vehicle Hour (£)",null,"Cost/Vehicle Mile (£)",null,"Speed (mph)",null,"Mean vehicle occupancy (passengers per bus mile)",null,"Mean Journey Length (miles)",null,"Mean route length (miles)",null,"Average commercial fare (£)","Commercial Journeys as a % of Total",null,"Service elasticity","Net additional capacity cost per generated passenger journey (£)","Total net costs for the network/subset of networks (£)",null,null,"WORKINGS","Base frequency (buses/hr)","Pax boardings/m of route/bus","Pax boardings/m of route/hr","Additional pax per m of route/hr","χ1 (Buses/hr)","Veh hrs/hr to operate BOTH sides of the route - Without marginal pax","Veh hrs/hr to operate on ONE side of the route - Without marginal pax","Veh hrs/hr to operate BOTH sides of the route - With marginal pax","Veh hrs/hr to operate on ONE side of the route - With marginal pax","Δveh hrs","£ per additional passenger journey","Veh miles/hr to operate BOTH sides of the route - Without marginal pax","Veh miles/hr to operate on ONE side of the route - Without marginal pax","Veh miles/hr to operate BOTH sides of the route - With marginal pax","Veh ,iles/hr to operate on ONE side of the route - With marginal pax","Δveh miles","£ per additional passenger journey","Total additional capacity cost per generated passenger journey excluding any effect on the PVR","Percentage change in frequency","Percentage change in demand","Total boardings/hr BOTH WAYS","Total boardings/hr ONE WAY","Of which commercial journeys","Change in commercial journeys","Revenue Gain","Net of marginal costs of commercial journeys generated by the service elasticity","Net additional capacity cost per generated passenger journey"]
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[]
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[]
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{"sheet":"Result Page","index":6,"n_rows":26,"n_cols":8,"rows_kept":26,"cut":false,"hidden":false,"merged":[]}
[65,"Result page"]
[]
[null,"Area Type",{"$f":"'Start Page'!$G$3","v":"Non-PTE"}]
[null,"Year of Calculation",{"$f":"'Start Page'!$G$4","v":"2023/24"}]
[]
[]
[]
[null,"Revenue Forgone"]
[]
[66,null,"Observed Concessionary Journeys",null,null,null,null,{"$f":"'Start Page'!$G$6","v":0}]
[67,null,"Average Fare Forgone (£)",null,null,null,null,{"$f":"'AF model'!$C$10","v":0}]
[68,null,"Reimbursement Factor (%)",null,null,null,null,{"$f":"'RF model'!$C$14","v":{"$error":"#DIV/0!"}}]
[69,null,"Total Reimbursement for Revenue Forgone (£)",null,null,null,null,{"$f":"$H$12*$H$11*$H$10","v":{"$error":"#DIV/0!"}}]
[]
[null,"Additional Costs"]
[]
[70,null,"Generation Factor (%)",null,null,null,null,{"$f":"(1-$H$12)","v":{"$error":"#DIV/0!"}}]
[71,null,"Marginal Operating Costs (£ per trip)",null,null,null,null,{"$f":"'AC model'!D18","v":7.8599488441995477E-2}]
[72,null,"Total Marginal Operating Costs (£)",null,null,null,null,{"$f":"H10*H17*H18","v":{"$error":"#DIV/0!"}}]
[73,null,"Scheme Administration Costs (£)",null,null,null,null,{"$f":"'AC model'!D9","v":0}]
[74,null,"Total Marginal Capacity Costs (£)",null,null,null,null,{"$f":"'MCC Model '!$W$8","v":0}]
[75,null,"PVR Costs (£)",null,null,null,null,{"$f":"'AC model'!$D$29","v":0}]
[76,null,"Total Reimbursement for Additional Costs",null,null,null,null,{"$f":"H19+H20+H21+H22","v":{"$error":"#DIV/0!"}}]
[]
[]
[77,"Total Reimbursement ",null,null,null,null,null,{"$f":"$H$23+$H$13","v":{"$error":"#DIV/0!"}}]

{"sheet":"Update Inflation","index":7,"n_rows":40,"n_cols":15,"rows_kept":40,"cut":false,"hidden":false,"merged":[[22,1,22,8],[23,1,23,8]]}
[null,"Master Index",null,null,null,"Updated index",null,null,null,null,"Workings","Change in CPI index"]
[null,"Year","CPI /GDP Deflator",null,null,"Year","CPI Index","GDP deflator","Updated Index",null,"Year","CPI/GDP Deflator","GDP Deflator"]
[null,"2005/6","78.9",null,null,"2005/6",78.900000000000006,2.7575570899932934E-2,"78.9",null,"2005/6",{"$f":"C3","v":"78.9"}]
[null,"2006/7","81.4",null,null,"2006/7",81.400000000000006,2.9935988560841377E-2,"81.4",null,"2006/7",{"$f":"C4","v":"81.4"}]
[null,"2007/8","83.4",null,null,"2007/8",83.4,2.3628682865693588E-2,"83.4",null,"2007/8","83.4"]
[null,"2008/9","85.8",null,null,"2008/9",85.8,3.6126298235244533E-2,"85.8",null,"2008/9","85.8"]
[null,"2009/10","88.7",null,null,"2009/10",88.7,1.3379020900661454E-2,"88.7",null,"2009/10","88.7"]
[null,"2010/11","92.2",null,null,"2010/11",92.2,1.6680467580835877E-2,"92.2",null,"2010/11","92.2",null,100]
[null,"2011/12","95.4",null,null,"2011/12",95.4,1.7724281808788683E-2,{"$f":"'Update Inflation'!C9","v":"95.4"},null,"2011/12","95.4",1.7724281808788683E-2,{"$f":"N8*(1+M9)","v":101.77242818087886},92.2]
[null,"2012/13","98.1",null,null,"2012/13",98.1,1.7326952105574427E-2,{"$f":"'Update Inflation'!C10","v":"98.1"},null,"2012/13",{"$f":"C10","v":"98.1"},1.7326952105574427E-2,{"$f":"N9*(1+M10)","v":103.53583416963696},95.4]
[null,"2013/14","99.7",null,null,"2013/14",99.7,2.0789638604554062E-2,{"$f":"'Update Inflation'!C11","v":"99.7"},null,"2013/14","99.7",2.0789638604554062E-2,{"$f":"N10*(1+M11)","v":105.68830674464475},98.1]
[null,"2014/15",99.7,null,null,"2014/15",99.7,1.1008710844176593E-2,{"$f":"'Update Inflation'!C12","v":99.7},null,"2014/15",99.7,1.1008710844176593E-2,{"$f":"N11*(1+M12)","v":106.85179875320718},99.7]
[null,"2015/16","100.2",null,null,"2015/16",100.2,7.9636344709128372E-3,{"$f":"'Update Inflation'!C13","v":"100.2"},null,"2015/16","100.2",7.9636344709128372E-3,107.70272742103727,99.7]
[null,"2016/17",102.5,null,null,"2016/17",102.5,2.0530386486734491E-2,{"$f":"'Update Inflation'!C14","v":102.5},null,"2016/17",102.5,2.0530386486734491E-2,109.91390604066659,100.2]
[null,"2017/18",105,null,null,"2017/18",105,1.6676580485780967E-2,{"$f":"'Update Inflation'!C15","v":105},null,"2017/18",105,1.6676580485780967E-2,111.74689414126033,102.5]
[null,"2018/19",{"$f":"G16","v":107},null,null,"2018/19",107,1.7865161331708151E-2,{"$f":"'Update Inflation'!C16","v":107},null,"2018/19",107,1.7865161331708151E-2,{"$f":"N15*(1+M16)","v":113.74327043341127},105]
[null,"2019/20",{"$f":"G17","v":108.6},null,null,"2019/20",108.6,2.6005226471371334E-2,{"$f":"'Update Inflation'!C17","v":108.6},null,"2019/20",108.6,2.6005226471371334E-2,116.70118994062656,107]
[null,"2020/21",{"$f":"G18","v":109.4},null,null,"2020/21",109.4,6.4081681931018111E-2,{"$f":"'Update Inflation'!C18","v":109.4},null,"2020/21",109.4,6.4081681931018111E-2,124.17959847537313,108.6]
[null,"2021/22",{"$f":"G19","v":117.1},null,null,"2021/22",117.1,-4.7344780877366698E-3,{"$f":"'Update Inflation'!C19","v":117.1},null,"2021/22",{"$f":"C19","v":117.1},-4.7344780877366698E-3,123.59167288744754,109.4]
[null,"2022/23",{"$f":"C19*(1+H20)","v":122.79030578203374},null,null,"2022/23",null,4.859355919755548E-2,{"$f":"'Update Inflation'!C20","v":122.79030578203374},null,"2022/23",{"$f":"C20","v":122.79030578203374},4.859355919755548E-2,129.59743216022864,117.1]
[null,"2023/24",{"$f":"C20*(1+H21)","v":126.75953863281816},null,null,"2023/24",null,3.2325294944946625E-2,{"$f":"'Update Inflation'!C21","v":126.75953863281816},null,"2023/24",{"$f":"C21","v":126.75953863281816},3.2325294944946625E-2,133.78670737891574,122.8]
[null,"TOOL TO UPDATE CPI INDEX/GDP DEFLATOR",null,null,null,78]
[null,"To obtain up to date CPI index follow: https://www.ons.gov.uk/economy/inflationandpriceindices/timeseries/d7bt/mm23"]
[null,"To obtain up to date GDP deflators follow: https://www.gov.uk/government/collections/gdp-deflators-at-market-prices-and-money-gdp"]
[null,null,79,80]
[null,"Year","Updated CPI Index","GDP Deflator",null,"Enter updated GDP/CPI values in C27:D39"]
[null,"2011/12",null,null,{"$f":"IF(AND(C27<>\"\",D27<>\"\"),\"DO NOT ENTER BOTH CPI AND GDP DEFLATORS\",\"\")","v":""}]
[null,"2012/13",null,null,{"$f":"IF(AND(C28<>\"\",D28<>\"\"),\"DO NOT ENTER BOTH CPI AND GDP DEFLATORS\",\"\")","v":""}]
[null,"2013/14",null,null,""]
[null,"2014/15",null,null,""]
[null,"2015/16",null,null,""]
[null,"2016/17",null,null,""]
[null,"2017/18",null,null,""]
[null,"2018/19",null,null,""]
[null,"2019/20",null,null,""]
[null,"2020/21",null,null,""]
[null,"2021/21",null,null,""]
[null,"2022/23",null,null,""]
[null,"2023/24",null,null,""]
[null,null,81,82]

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["(2) Interpolation",null,null,null,null,null,null,null,null,null,"(3) Average fare",null,null,null,null,"(4) Degenerate price ratio",null,null,null,"(5) Interpolation",null,null,null,null,null,null,null,null,null,"(6) Degenerate Cash Fare journeys"]
[]
[null,null,null,"Input values","Interpolation ",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Input values","Interpolation "]
[null,null,null,null,"Lower band","Upper band","Factor","Int'lated value",null,null,null,null,null,null,null,"Area",{"$f":"'Start Page'!$G$3","v":"Non-PTE"},null,null,null,null,null,null,"Lower band","Upper band","Factor","Int'lated value"]
[null,"Weekly ticket price",null,{"$f":"'AF model'!C23/'AF model'!C21","v":{"$error":"#DIV/0!"}},{"$f":"ROUNDDOWN(D5,0)","v":{"$error":"#DIV/0!"}},{"$f":"ROUNDUP(D5,0)","v":{"$error":"#DIV/0!"}},{"$f":"D5-E5","v":{"$error":"#DIV/0!"}},null,null,null,null,null,null,null,null,null,null,null,null,null,"Weekly ticket price",null,{"$f":"$R$9","v":{"$error":"#DIV/0!"}},{"$f":"ROUNDDOWN(W5,0)","v":{"$error":"#DIV/0!"}},{"$f":"ROUNDUP(W5,0)","v":{"$error":"#DIV/0!"}},{"$f":"W5-X5","v":{"$error":"#DIV/0!"}},null,null,null,null,"Cash Fare","Daily","Weekly"]
[null,"Daily Ticket Price ",null,{"$f":"'AF model'!C22/'AF model'!C21","v":{"$error":"#DIV/0!"}},{"$f":"ROUNDDOWN(D6,0)","v":{"$error":"#DIV/0!"}},{"$f":"ROUNDUP(D6,0)","v":{"$error":"#DIV/0!"}},{"$f":"D6-E6","v":{"$error":"#DIV/0!"}},null,null,null,null,"Cash Fare","Daily","Weekly",null,null,"RF","Price ratio",null,null,"Daily Ticket Price ",null,{"$f":"$R$8","v":{"$error":"#DIV/0!"}},{"$f":"ROUNDDOWN(W6,0)","v":{"$error":"#DIV/0!"}},{"$f":"ROUNDUP(W6,0)","v":{"$error":"#DIV/0!"}},{"$f":"W6-X6","v":{"$error":"#DIV/0!"}},null,null,null,"Price ratio",{"$f":"1","v":1},{"$f":"W6","v":{"$error":"#DIV/0!"}},{"$f":"W5","v":{"$error":"#DIV/0!"}}]
[null,"Weekly Tickets",null,null,{"$f":"VLOOKUP(E$5,$A$35:$AJ$76,2)","v":{"$error":"#DIV/0!"}},{"$f":"VLOOKUP(F$5,$A$35:$AJ$76,2)","v":{"$error":"#DIV/0!"}},{"$f":"G5","v":{"$error":"#DIV/0!"}},{"$f":"E7+G7*(F7-E7)","v":{"$error":"#DIV/0!"}},null,null,"Price ratio",1,{"$f":"D6","v":{"$error":"#DIV/0!"}},{"$f":"D5","v":{"$error":"#DIV/0!"}},null,"Cash Fare",{"$f":"IF($Q$4=\"Non-PTE\", EXP('RF Workings'!$G$40*((L12*VLOOKUP('Start Page'!$G$4, 'RF Workings'!$E$3:$G$21, 3)/1.2)^'RF Workings'!$G$39)), EXP('RF Workings'!$F$40*((L12*VLOOKUP('Start Page'!$G$4, 'RF Workings'!$E$3:$G$21, 3)/1.12)^'RF Workings'!$F$39)))","v":{"$error":"#DIV/0!"}},1,null,null,"Weekly Tickets",null,null,{"$f":"VLOOKUP(X$5,$A$35:$AJ$76,2)","v":{"$error":"#DIV/0!"}},{"$f":"VLOOKUP(Y$5,$A$35:$AJ$76,2)","v":{"$error":"#DIV/0!"}},{"$f":"Z5","v":{"$error":"#DIV/0!"}},{"$f":"X7+Z7*(Y7-X7)","v":{"$error":"#DIV/0!"}},null,null,"Tickets sold (from Look Up Table)",{"$f":"AA11-H11*Q7","v":{"$error":"#DIV/0!"}},{"$f":"AA9","v":{"$error":"#DIV/0!"}},{"$f":"AA7","v":{"$error":"#DIV/0!"}}]
[null,"Weekly journeys",null,null,{"$f":"VLOOKUP(E$5,$A$35:$AJ$76,3)","v":{"$error":"#DIV/0!"}},{"$f":"VLOOKUP(F$5,$A$35:$AJ$76,3)","v":{"$error":"#DIV/0!"}},{"$f":"G5","v":{"$error":"#DIV/0!"}},{"$f":"E8+G8*(F8-E8)","v":{"$error":"#DIV/0!"}},null,null,"Price per ticket",{"$f":"'AF model'!C21","v":{"$error":"#DIV/0!"}},{"$f":"'AF model'!C22","v":{"$error":"#DIV/0!"}},{"$f":"'AF model'!C23","v":{"$error":"#DIV/0!"}},null,"Daily",{"$f":"IF($Q$4=\"Non-PTE\", EXP('RF Workings'!$G$40*((M12*VLOOKUP('Start Page'!$G$4, 'RF Workings'!$E$3:$G$21, 3)/1.2)^'RF Workings'!$G$39)), EXP('RF Workings'!$F$40*((M12*VLOOKUP('Start Page'!$G$4, 'RF Workings'!$E$3:$G$21, 3)/1.12)^'RF Workings'!$F$39)))","v":{"$error":"#DIV/0!"}},{"$f":"(1+Q8)*D6","v":{"$error":"#DIV/0!"}},null,null,"Weekly journeys",null,null,{"$f":"VLOOKUP(X$5,$A$35:$AJ$76,3)","v":{"$error":"#DIV/0!"}},{"$f":"VLOOKUP(Y$5,$A$35:$AJ$76,3)","v":{"$error":"#DIV/0!"}},{"$f":"Z5","v":{"$error":"#DIV/0!"}},{"$f":"X8+Z8*(Y8-X8)","v":{"$error":"#DIV/0!"}},null,null,"Journeys made (from Look Up Table)",{"$f":"AA11-H11*Q7","v":{"$error":"#DIV/0!"}},{"$f":"AA10","v":{"$error":"#DIV/0!"}},{"$f":"AA8","v":{"$error":"#DIV/0!"}}]
[null,"Daily Tickets",null,null,{"$f":"VLOOKUP($E$5,$A$35:$AJ$76,$E15)+$G$5*(VLOOKUP($F$5,$A$35:$AJ$76,E$15)-VLOOKUP($E$5,$A$35:$AJ$76,E$15))","v":{"$error":"#DIV/0!"}},{"$f":"VLOOKUP($E$5,$A$35:$AJ$76,$F15)+$G$5*(VLOOKUP($F$5,$A$35:$AJ$76,F$15)-VLOOKUP($E$5,$A$35:$AJ$76,F$15))","v":{"$error":"#DIV/0!"}},{"$f":"IF(G6=0,G5,G6)","v":{"$error":"#DIV/0!"}},{"$f":"E9+G9*(F9-E9)","v":{"$error":"#DIV/0!"}},null,null,"Tickets sold (from Look Up Table)",{"$f":"H11","v":{"$error":"#DIV/0!"}},{"$f":"H9","v":{"$error":"#DIV/0!"}},{"$f":"H7","v":{"$error":"#DIV/0!"}},null,"Weekly",{"$f":"IF($Q$4=\"Non-PTE\", EXP('RF Workings'!$G$40*((N12*VLOOKUP('Start Page'!$G$4, 'RF Workings'!$E$3:$G$21, 3)/1.2)^'RF Workings'!$G$39)), EXP('RF Workings'!$F$40*((N12*VLOOKUP('Start Page'!$G$4, 'RF Workings'!$E$3:$G$21, 3)/1.12)^'RF Workings'!$F$39)))","v":{"$error":"#DIV/0!"}},{"$f":"(1+Q9)*D5","v":{"$error":"#DIV/0!"}},null,null,"Daily Tickets",null,null,{"$f":"VLOOKUP($X$5,$A$35:$AJ$76,$X14)+Z5*(VLOOKUP($Y$5,$A$35:$AJ$76,$X14)-VLOOKUP($X$5,$A$35:$AJ$76,$X14))","v":{"$error":"#DIV/0!"}},{"$f":"VLOOKUP($X$5,$A$35:$AJ$76,$Y14)+Z5*(VLOOKUP($Y$5,$A$35:$AJ$76,$Y14)-VLOOKUP($X$5,$A$35:$AJ$76,$Y14))","v":{"$error":"#DIV/0!"}},{"$f":"IF(Z6=0,Z5,Z6)","v":{"$error":"#DIV/0!"}},{"$f":"X9+Z9*(Y9-X9)","v":{"$error":"#DIV/0!"}}]
[null,"Daily journeys",null,null,{"$f":"VLOOKUP($E$5,$A$35:$AJ$76,$E16)+$G$5*(VLOOKUP($F$5,$A$35:$AJ$76,E$16)-VLOOKUP($E$5,$A$35:$AJ$76,E$16))","v":{"$error":"#DIV/0!"}},{"$f":"VLOOKUP($E$5,$A$35:$AJ$76,$F16)+$G$5*(VLOOKUP($F$5,$A$35:$AJ$76,F$16)-VLOOKUP($E$5,$A$35:$AJ$76,F$16))","v":{"$error":"#DIV/0!"}},{"$f":"IF(G6=0,G5,G6)","v":{"$error":"#DIV/0!"}},{"$f":"E10+G10*(F10-E10)","v":{"$error":"#DIV/0!"}},null,null,"journeys made (from Look Up Table)",{"$f":"H11","v":{"$error":"#DIV/0!"}},{"$f":"H10","v":{"$error":"#DIV/0!"}},{"$f":"H8","v":{"$error":"#DIV/0!"}},null,null,null,null,null,null,"Daily journeys",null,null,{"$f":"VLOOKUP($X$5,$A$35:$AJ$76,$X15)+Z5*(VLOOKUP($Y$5,$A$35:$AJ$76,$X15)-VLOOKUP($X$5,$A$35:$AJ$76,$X15))","v":{"$error":"#DIV/0!"}},{"$f":"VLOOKUP($X$5,$A$35:$AJ$76,$Y15)+Z5*(VLOOKUP($Y$5,$A$35:$AJ$76,$Y15)-VLOOKUP($X$5,$A$35:$AJ$76,$Y15))","v":{"$error":"#DIV/0!"}},{"$f":"IF(Z6=0,Z5,Z6)","v":{"$error":"#DIV/0!"}},{"$f":"X10+Z10*(Y10-X10)","v":{"$error":"#DIV/0!"}}]
[null,"Cash Fare journeys",null,null,{"$f":"VLOOKUP($E$5,$A$35:$AJ$76,$E17)+$G$5*(VLOOKUP($F$5,$A$35:$AJ$76,E$17)-VLOOKUP($E$5,$A$35:$AJ$76,E$17))","v":{"$error":"#DIV/0!"}},{"$f":"VLOOKUP($E$5,$A$35:$AJ$76,$F17)+$G$5*(VLOOKUP($F$5,$A$35:$AJ$76,F$17)-VLOOKUP($E$5,$A$35:$AJ$76,F$17))","v":{"$error":"#DIV/0!"}},{"$f":"IF(G6=0,G5,G6)","v":{"$error":"#DIV/0!"}},{"$f":"E11+G11*(F11-E11)","v":{"$error":"#DIV/0!"}},null,null,"journeys per ticket",{"$f":"IF(L9=0,0,L10/L9)","v":{"$error":"#DIV/0!"}},{"$f":"IF(M9=0,0,M10/M9)","v":{"$error":"#DIV/0!"}},{"$f":"IF(N9=0,0,N10/N9)","v":{"$error":"#DIV/0!"}},null,null,null,null,null,null,"Cash Fare journeys",null,null,{"$f":"VLOOKUP($X$5,$A$35:$AJ$76,$X16)+Z5*(VLOOKUP($Y$5,$A$35:$AJ$76,$X16)-VLOOKUP($X$5,$A$35:$AJ$76,$X16))","v":{"$error":"#DIV/0!"}},{"$f":"VLOOKUP($X$5,$A$35:$AJ$76,$Y16)+Z5*(VLOOKUP($Y$5,$A$35:$AJ$76,$Y16)-VLOOKUP($X$5,$A$35:$AJ$76,$Y16))","v":{"$error":"#DIV/0!"}},{"$f":"IF(Z6=0,Z5,Z6)","v":{"$error":"#DIV/0!"}},{"$f":"X11+Z11*(Y11-X11)","v":{"$error":"#DIV/0!"}}]
[null,"Check journey total",null,null,{"$f":"E8+E10+E11","v":{"$error":"#DIV/0!"}},{"$f":"F8+F10+F11","v":{"$error":"#DIV/0!"}},null,{"$f":"H8+H10+H11","v":{"$error":"#DIV/0!"}},null,null,"Price per journey",{"$f":"IF(L11=0,L8,L$8/L11)","v":{"$error":"#DIV/0!"}},{"$f":"IF(M11=0,M8,M$8/M11)","v":{"$error":"#DIV/0!"}},{"$f":"IF(N11=0,N8,N$8/N11)","v":{"$error":"#DIV/0!"}},null,null,null,null,null,null,"Check journey total",null,null,{"$f":"X8+X10+X11","v":{"$error":"#DIV/0!"}},{"$f":"Y8+Y10+Y11","v":{"$error":"#DIV/0!"}},null,{"$f":"AA8+AA10+AA11","v":{"$error":"#DIV/0!"}}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Column offset"]
[null,null,null,null,"Column offset",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Daily Tickets",null,null,{"$f":"7+3*($X$6-1)","v":{"$error":"#DIV/0!"}},{"$f":"7+3*($Y$6-1)","v":{"$error":"#DIV/0!"}}]
[null,"Daily Tickets",null,null,{"$f":"7+3*($E$6-1)","v":{"$error":"#DIV/0!"}},{"$f":"7+3*($F$6-1)","v":{"$error":"#DIV/0!"}},null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Daily journeys",null,null,{"$f":"8+3*($X$6-1)","v":{"$error":"#DIV/0!"}},{"$f":"8+3*($Y$6-1)","v":{"$error":"#DIV/0!"}}]
[null,"Daily journeys",null,null,{"$f":"8+3*($E$6-1)","v":{"$error":"#DIV/0!"}},{"$f":"8+3*($F$6-1)","v":{"$error":"#DIV/0!"}},null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Cash Fare journeys",null,null,{"$f":"9+3*($X$6-1)","v":{"$error":"#DIV/0!"}},{"$f":"9+3*($Y$6-1)","v":{"$error":"#DIV/0!"}}]
[null,"Cash Fare journeys",null,null,{"$f":"9+3*($E$6-1)","v":{"$error":"#DIV/0!"}},{"$f":"9+3*($F$6-1)","v":{"$error":"#DIV/0!"}}]
["Discount factor",null,null,null,{"$f":"1-(E7*E5+E9*E6+E11)/E12","v":{"$error":"#DIV/0!"}},{"$f":"1-(F7*F5+F9*F6+F11)/F12","v":{"$error":"#DIV/0!"}},null,{"$f":"1-(H7*D5+H9*D6+H11)/H12","v":{"$error":"#DIV/0!"}},null,null,"Discount factor",{"$f":"1-(SUMPRODUCT(L12:N12,L10:N10)/SUM(L10:N10))/L12","v":{"$error":"#DIV/0!"}},{"$f":"1-(SUMPRODUCT(L8:N8,L9:N9)/SUM(L10:N10))/L12","v":{"$error":"#DIV/0!"}},null,null,null,null,null,null,null,null,null,null,null,null,"Discount factor",{"$f":"1-(AA7*W5+AA9*W6+AA11)/AA12","v":{"$error":"#DIV/0!"}},null,null,null,null,"Discount factor",{"$f":"1-SUMPRODUCT(AE7:AG7,AE6:AG6)/SUM(AE8:AG8)","v":{"$error":"#DIV/0!"}}]
[null,null,null,null,"Average",{"$f":"AVERAGE(E18:F18)","v":{"$error":"#DIV/0!"}},null,null,null,null,null,{"$f":"L18-H18-0","v":{"$error":"#DIV/0!"}},{"$f":"M18-L18-0","v":{"$error":"#DIV/0!"}}]
[]
[null,null,"Distribution of tickets and journeys",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Distribution of tickets and journeys",null,null,null,null,null,null,null,null,"Distribution of tickets and journeys"]
[null,null,"Journeys","Weekly",{"$f":"E8/E$12","v":{"$error":"#DIV/0!"}},{"$f":"F8/F$12","v":{"$error":"#DIV/0!"}},null,{"$f":"H8/H$12","v":{"$error":"#DIV/0!"}},null,null,null,null,null,null,null,null,null,null,null,null,null,"Journeys","Weekly",{"$f":"X8/X$12","v":{"$error":"#DIV/0!"}},{"$f":"Y8/Y$12","v":{"$error":"#DIV/0!"}},null,{"$f":"AA8/AA$12","v":{"$error":"#DIV/0!"}},null,null,null,"Journeys","Cash Fare",{"$f":"AE8/SUM($AE$8:$AG$8)","v":{"$error":"#DIV/0!"}}]
[null,null,null,"Daily",{"$f":"E10/E$12","v":{"$error":"#DIV/0!"}},{"$f":"F10/F$12","v":{"$error":"#DIV/0!"}},null,{"$f":"H10/H$12","v":{"$error":"#DIV/0!"}},null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Daily",{"$f":"X10/X$12","v":{"$error":"#DIV/0!"}},{"$f":"Y10/Y$12","v":{"$error":"#DIV/0!"}},null,{"$f":"AA10/AA$12","v":{"$error":"#DIV/0!"}},null,null,null,null,"Daily",{"$f":"AF8/SUM($AE$8:$AG$8)","v":{"$error":"#DIV/0!"}}]
[null,null,null,"Cash Fare",{"$f":"E11/E$12","v":{"$error":"#DIV/0!"}},{"$f":"F11/F$12","v":{"$error":"#DIV/0!"}},null,{"$f":"H11/H$12","v":{"$error":"#DIV/0!"}},null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Cash Fare",{"$f":"X11/X$12","v":{"$error":"#DIV/0!"}},{"$f":"Y11/Y$12","v":{"$error":"#DIV/0!"}},null,{"$f":"AA11/AA$12","v":{"$error":"#DIV/0!"}},null,null,null,null,"Weekly",{"$f":"AG8/SUM($AE$8:$AG$8)","v":{"$error":"#DIV/0!"}}]
[null,null,"Tickets","Weekly",{"$f":"E7/(E$7+E$9+E$11)","v":{"$error":"#DIV/0!"}},{"$f":"F7/(F$7+F$9+F$11)","v":{"$error":"#DIV/0!"}},null,{"$f":"H7/(H$7+H$9+H$11)","v":{"$error":"#DIV/0!"}},null,null,null,null,null,null,null,null,null,null,null,null,null,"Tickets","Weekly",{"$f":"X7/(X$7+X$9+X$11)","v":{"$error":"#DIV/0!"}},{"$f":"Y7/(Y$7+Y$9+Y$11)","v":{"$error":"#DIV/0!"}},null,{"$f":"AA7/(AA$7+AA$9+AA$11)","v":{"$error":"#DIV/0!"}},null,null,null,"Tickets","Cash Fare",{"$f":"AE7/SUM($AE$7:$AG$7)","v":{"$error":"#DIV/0!"}}]
[null,null,null,"Daily",{"$f":"E9/(E$7+E$9+E$11)","v":{"$error":"#DIV/0!"}},{"$f":"F9/(F$7+F$9+F$11)","v":{"$error":"#DIV/0!"}},null,{"$f":"H9/(H$7+H$9+H$11)","v":{"$error":"#DIV/0!"}},null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Daily",{"$f":"X9/(X$7+X$9+X$11)","v":{"$error":"#DIV/0!"}},{"$f":"Y9/(Y$7+Y$9+Y$11)","v":{"$error":"#DIV/0!"}},null,{"$f":"AA9/(AA$7+AA$9+AA$11)","v":{"$error":"#DIV/0!"}},null,null,null,null,"Daily",{"$f":"AF7/SUM($AE$7:$AG$7)","v":{"$error":"#DIV/0!"}}]
[null,null,null,"Cash Fare",{"$f":"E11/(E$7+E$9+E$11)","v":{"$error":"#DIV/0!"}},{"$f":"F11/(F$7+F$9+F$11)","v":{"$error":"#DIV/0!"}},null,{"$f":"H11/(H$7+H$9+H$11)","v":{"$error":"#DIV/0!"}},null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Cash Fare",{"$f":"X11/(X$7+X$9+X$11)","v":{"$error":"#DIV/0!"}},{"$f":"Y11/(Y$7+Y$9+Y$11)","v":{"$error":"#DIV/0!"}},null,{"$f":"AA11/(AA$7+AA$9+AA$11)","v":{"$error":"#DIV/0!"}},null,null,null,null,"Weekly",{"$f":"AG7/SUM($AE$7:$AG$7)","v":{"$error":"#DIV/0!"}}]
[]
[]
["(1) NowCard Data - Lookup Table"]
[]
["Weekly Ticket Price as Multiple of Cash Fare per Journey","Weekly Tickets",null,"No Day Ticket",null,null,"Daily Ticket Price as Multiple of Cash Fare per Journey"]
[null,null,null,null,null,null,1,null,null,2,null,null,3,null,null,4,null,null,5,null,null,6,null,null,7,null,null,8,null,null,9,null,null,10]
[null,"Weekly Tickets","Weekly Journeys","Daily Tickets","Daily Journeys","Cash Fare Journeys","Daily Tickets","Daily Journeys","Cash Fare Journeys","Daily Tickets","Daily Journeys","Cash Fare Journeys","Daily Tickets","Daily Journeys","Cash Fare Journeys","Daily Tickets","Daily Journeys","Cash Fare Journeys","Daily Tickets","Daily Journeys","Cash Fare Journeys","Daily Tickets","Daily Journeys","Cash Fare Journeys","Daily Tickets","Daily Journeys","Cash Fare Journeys","Daily Tickets","Daily Journeys","Cash Fare Journeys","Daily Tickets","Daily Journeys","Cash Fare Journeys","Daily Tickets","Daily Journeys","Cash Fare Journeys"]
[0,0,0,0,0,591063.28075242427,280070,591063.28075242427,0,179204,475998.98532579624,115064.29542662803,43917,175755.56280663592,415307.71794578835,21313,102059.22280503144,489004.05794739281,6392,38074.303915604105,552988.97683682013,2215,15571.843874123817,575491.4368783005,906,7265.0498507094198,583798.23090171488,320,2991.8120336322977,588071.46871879196,135,1438.2466191039366,589625.03413332033,75,874.41568435620866,590188.86506806803]
[1,123557,591063.28075212997,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
[2,100948,565087.57923096581,0,0,25975.701521163923,22609,25975.701521110645,5.3278199629858136E-8,0,0,25975.701521163923,0,0,25975.701521163923,0,0,25975.701521163923,0,0,25975.701521163923,0,0,25975.701521163923,0,0,25975.701521163923,0,0,25975.701521163923,0,0,25975.701521163923,0,0,25975.701521163923]
[3,68175,491631.97186506697,0,0,99431.308887090709,61001,99431.308886877305,2.1340383682399988E-7,27154,60560.235658671765,38871.073228418943,0,0,99431.308887090709,0,0,99431.308887090709,0,0,99431.308887090709,0,0,99431.308887090709,0,0,99431.308887090709,0,0,99431.308887090709,0,0,99431.308887090709,0,0,99431.308887090709]
[4,56508,453453.17065855901,0,0,137610.11009362905,83644,137610.11009336635,2.6269117370247841E-7,37185,84935.043313859467,52675.066779769579,2327,7604.1293832765796,130005.98071035247,0,0,137610.11009362905,0,0,137610.11009362905,0,0,137610.11009362905,0,0,137610.11009362905,0,0,137610.11009362905,0,0,137610.11009362905,0,0,137610.11009362905]
[5,42106,391624.75238681358,0,0,199438.52836541907,115094,199438.52836520941,2.096639946103096E-7,58177,134716.31230985947,64722.216055559606,4654,16624.937654989557,182813.5907104295,1399,6021.3604444267667,193417.1679209923,0,0,199438.52836541907,0,0,199438.52836541907,0,0,199438.52836541907,0,0,199438.52836541907,0,0,199438.52836541907,0,0,199438.52836541907]
[6,33311,344074.37728618371,0,0,246988.90346610389,139550,246988.90346588628,2.176093403249979E-7,72036,170145.48103955147,76843.422426552424,7448,26838.926400098229,220149.97706600567,2207,9782.9773699885463,237205.92609611535,265,1423.1459153548094,245565.75755074908,0,0,246988.90346610389,0,0,246988.90346610389,0,0,246988.90346610389,0,0,246988.90346610389,0,0,246988.90346610389]
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[40,25,1278.9660912195129,0,0,589784.31466120412,279896,589784.31466120342,0,179032,474722.92606254527,115061.38859865884,43751,174493.25084510905,415291.06381609506,21154,100819.91375074325,488964.40091046086,6251,36912.015116400726,552872.29954480333,2096,14533.456352107827,575250.85830909631,819,6430.7455032636954,583353.56915794045,259,2345.7032784431849,587438.61138276092,91,934.73549004526751,588849.57917115884,47,520.88646801618449,589263.42819318792]
["More than 40",0,0,0,0,591063.28075242427,280070,591063.28075242427,0,179204,475998.98532579624,115064.29542662803,43917,175755.56280663592,415307.71794578835,21313,102059.22280503144,489004.05794739281,6392,38074.303915604105,552988.97683682013,2215,15571.843874123817,575491.4368783005,906,7265.0498507094198,583798.23090171488,320,2991.8120336322977,588071.46871879196,135,1438.2466191039366,589625.03413332033,75,874.41568435620866,590188.86506806803]

{"sheet":"RF Workings","index":9,"n_rows":789,"n_cols":12,"rows_kept":789,"cut":false,"hidden":false,"merged":[[47,4,47,6],[71,4,71,6]]}
[]
[null,null,null,null,"CPI Index","CPI /GDP Deflator","Deflation Factor"]
[null,null,null,null,"2005/6",{"$f":"'Update Inflation'!I3","v":"78.9"},{"$f":"$F$3/F3","v":1}]
[null,null,null,null,"2006/7",{"$f":"'Update Inflation'!I4","v":"81.4"},{"$f":"$F$3/F4","v":0.96928746928746934}]
[null,null,null,null,"2007/8",{"$f":"'Update Inflation'!I5","v":"83.4"},{"$f":"$F$3/F5","v":0.9460431654676259}]
[null,null,null,null,"2008/9",{"$f":"'Update Inflation'!I6","v":"85.8"},0.91958041958041969]
[null,null,null,null,"2009/10",{"$f":"'Update Inflation'!I7","v":"88.7"},0.88951521984216464]
[null,null,null,null,"2010/11",{"$f":"'Update Inflation'!I8","v":"92.2"},0.85574837310195229]
[null,null,null,null,"2011/12",{"$f":"'Update Inflation'!I9","v":"95.4"},0.82704402515723274]
[null,null,null,null,"2012/13",{"$f":"'Update Inflation'!I10","v":"98.1"},0.80428134556574937]
[null,null,null,null,"2013/14",{"$f":"'Update Inflation'!I11","v":"99.7"},0.79137412236710136,null,null,null,"CPI Index"]
[null,null,null,null,"2014/15",{"$f":"'Update Inflation'!I12","v":99.7},0.79137412236710136,null,null,null,"http://www.ons.gov.uk/economy/inflationandpriceindices/timeseries/d7bt/mm23#"]
[null,null,null,null,"2015/16",{"$f":"'Update Inflation'!I13","v":"100.2"},0.78742514970059885,null,null,null,"Choose CPI indices for March (End of Quarter 1)"]
[null,null,{"$f":"'RF Workings'!G92","v":{"$error":"#DIV/0!"}},null,"2016/17",{"$f":"'Update Inflation'!I14","v":102.5},{"$f":"$F$3/F14","v":0.76975609756097563}]
[null,null,null,null,"2017/18",{"$f":"'Update Inflation'!I15","v":105},0.75142857142857145]
[null,null,null,null,"2018/19",{"$f":"'Update Inflation'!I16","v":107},0.73738317757009353]
[null,null,null,null,"2019/20",{"$f":"'Update Inflation'!I17","v":108.6},{"$f":"$F$3/F17","v":0.72651933701657467}]
[null,null,null,null,"2020/21",{"$f":"'Update Inflation'!I18","v":109.4},{"$f":"$F$3/F18","v":0.72120658135283366}]
[null,null,null,null,"2021/22",{"$f":"'Update Inflation'!I19","v":117.1},{"$f":"$F$3/F19","v":0.67378309137489334}]
[null,null,null,null,"2022/23",{"$f":"'Update Inflation'!I20","v":122.79030578203374},0.6425588689391829]
[null,null,null,null,"2023/24",{"$f":"'Update Inflation'!I21","v":126.75953863281816},{"$f":"$F$3/F21","v":0.62243836519907247}]
[]
[null,null,null,null,"Area Type",null,null,null,null,null,"GDP Deflator"]
[null,null,null,null,"PTE ",null,null,null,null,null,"https://www.gov.uk/government/statistics/gdp-deflators-at-market-prices-and-money-gdp-june-2017-quarterly-national-accounts-june-2017"]
[null,null,null,null,"Non-PTE",null,null,null,null,null,"Choose Financial Year percentage"]
[]
[]
[null,null,null,null,"Use 2005/6 Fare"]
[null,null,null,null,"Yes"]
[null,null,null,null,"No"]
[]
[]
[null,null,null,null,"Single Demand Curve Parameters","PTE","Non-PTE"]
[null,null,null,null,"Half/Flat Fare index in £2005/6",0.36,0.5]
[null,null,null,null,"Index of observed trips at half/flat fare (excluding abstraction)",70.910959598340739,51.559928641488959]
[null,null,null,null,"Index of trips at half/flat fare (including abstraction)",72.658024373798938,58.505377241624366]
[null,null,null,null,"Index of \"old\" passholder Trips",0.94176450748472662,0.76848504666215289]
[null,null,null,null,"Constant k",100,100]
[null,null,null,null,"λ",0.72319944476429909,0.64055596002666726]
[null,null,null,null,"β",-0.66869077279260036,-0.8356666825757737]
[null,null,null,null,"Fare elasticity at £1 (2005/6)",-0.5140157734077605,-0.67025749126462675]
[]
[null,null,null,null,"National Bus Fare Index","PTE","Non-PTE"]
[null,null,null,null,"Percentage change in fares between 2005/6 and 2010/11",0.32824842228444884,0.20648164310234507,"Bus Fare Index 2011 Source: Monthly Digest of Statistics (Change in Fare between 2005/6 and 2006/7 assumed to be same as CPI)"]
[]
[]
[]
[null,null,null,null,"Using operator specific change in fares to calculate reimbursement"]
[]
[null,null,null,null,"Current nominal average fare foregone",null,{"$f":"'RF model'!C6","v":0}]
[null,null,null,null,"Current average Fare in 2005/6 prices",null,{"$f":"G50*VLOOKUP('Start Page'!G4,$E$3:$G$21,3,TRUE)","v":0}]
[null,null,null,null,"Percentage Change in Average Fares between 2005/6 and the current year",null,{"$f":"'RF model'!C30","v":0}]
[null,null,null,null,"Estimated average fare in 2005/6",null,{"$f":"G50/(1+G52)","v":0}]
[null,null,null,null,"Average Fare index on SDC",null,{"$f":"G51/G53","v":{"$error":"#DIV/0!"}}]
[null,null,null,null,"Reimbursement Factor",null,{"$f":"IF('Start Page'!G3=\"Non-PTE\",EXP(G40*(G54^G39)),(EXP(F40*(G54^F39))))","v":{"$error":"#DIV/0!"}}]
[]
[]
[]
[null,null,null,null,"Using TCA wide average fare to calculate reimbursement factor"]
[]
[null,null,null,null,"Current nominal average fare foregone",null,{"$f":"'RF model'!C6","v":0}]
[null,null,null,null,"Average fare in 2005/6 prices",null,{"$f":"G61*VLOOKUP('Start Page'!G4,$E$3:$G$21,3,TRUE)","v":0}]
[null,null,null,null,"Percentage change in fares between 2005/6 and 2010/11",null,{"$f":"'RF model'!C35","v":0}]
[null,null,null,null,"Percentage change in operator specific nominal fares between 2010/11 and current reimbursement period",null,{"$f":"'RF model'!C36","v":0}]
[null,null,null,null,"Total change in fares between 2005/6 and current reimbursement period",null,{"$f":"((1+G63)*(1+G64)-1)","v":0}]
[null,null,null,null,"Estimated average fare in 2005/6",null,{"$f":"G61/(1+G65)","v":0}]
[null,null,null,null,"Average Fare Index on SDC",null,{"$f":"G62/G66","v":{"$error":"#DIV/0!"}}]
[null,null,null,null,"Reimbursement Factor",null,{"$f":"IF('Start Page'!G3=\"Non-PTE\",EXP(G40*(G67^G39)),EXP(F40*(G67^F39)))","v":{"$error":"#DIV/0!"}}]
[]
[]
[]
[null,null,null,null,"Using the National Bus Fare Index to calculate reimbursement"]
[]
[null,null,null,null,"Current nominal average fare foregone ",null,{"$f":"'RF model'!C6","v":0}]
[null,null,null,null,"Average fare in 2005/6 prices",null,{"$f":"G74*VLOOKUP('Start Page'!$G$4,$E$3:$G$21,3, TRUE)","v":0}]
[null,null,null,null,"Percentage change in nominal fares between 2005/6 and 2010/11",null,{"$f":"IF('Start Page'!G3=\"Non-PTE\",G44,F44)","v":0.20648164310234507}]
[null,null,null,null,"Operator specific change in nominal fares deflator between 2010/11 and current reimbursement period",null,{"$f":"'RF model'!C39","v":0}]
[null,null,null,null,"Total percentage change in average fares since 2005/6",null,{"$f":"((G76+1)*(G77+1)-1)","v":0.20648164310234507}]
[null,null,null,null,"Estimated Average Fare in 2005/6",null,{"$f":"G74/(1+G78)","v":0}]
[null,null,null,null,"Average fare index on SDC",null,{"$f":"G75/G79","v":{"$error":"#DIV/0!"}}]
[null,null,null,null,"Reimbursement Factor",null,{"$f":"IF('Start Page'!$G$3= \"Non-PTE\",EXP($G$40*(G80^$G$39)),EXP($F$40*(G80^$F$39)))","v":{"$error":"#DIV/0!"}}]
[]
[]
[]
[null,null,null,null,"New Operator"]
[]
[null,null,null,null,"Current nominal average fare foregone",null,{"$f":"'RF model'!C6","v":0}]
[null,null,null,null,"Average fare in 2005/6 prices",null,{"$f":"G87*VLOOKUP('Start Page'!$G$4,$E$3:$G$21,3, TRUE)","v":0}]
[null,null,null,null,"Percentage change in TCA wide nominal fares between 2005/6 and current reimbursement period",null,{"$f":"'RF model'!C48","v":0}]
[null,null,null,null,"Estimated Average Fare in 2005/6",null,{"$f":"G87/(1+G89)","v":0}]
[null,null,null,null,"Average fare index on SDC",null,{"$f":"G88/G90","v":{"$error":"#DIV/0!"}}]
[null,null,null,null,"Reimbursement Factor",null,{"$f":"IF('Start Page'!$G$3= \"Non-PTE\",EXP($G$40*(G91^$G$39)),EXP($F$40*(G91^$F$39)))","v":{"$error":"#DIV/0!"}}]
[]
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[null,null,null,null,null,null,null,null,null,null,null,"Local Variations"]
[null,null,null,null,null,null,null,null,null,null,null,"Yes"]
[null,null,null,null,null,null,null,null,null,null,null,"No"]

{"sheet":"MCC Example","index":10,"n_rows":172,"n_cols":5,"rows_kept":172,"cut":false,"hidden":false,"merged":[]}
[null,"MARGINAL CAPACITY COSTS MODEL - WORKED EXAMPLE",null,null,"NPTE, 2009/10"]
[]
[null,"ASSUMPTIONS"]
[null,"Mohring power",null,0.6,"Default value"]
[null,"Vehicle/mile cost",null,0.7,"Default value"]
[null,"Vehicle/hr cost",null,13.3,"Default value"]
[null,"Speed (mph)",null,10.9,"Local"]
[null,"Mean vehicle occupancy",null,17.8,"Local"]
[null,"Mean route length",null,10,"Local"]
[null,"Mean journey length",null,4.9000000000000004,"Local"]
[null,"Average commercial fare",null,1.5,"Local"]
[null,"Commercial Journeys as a % of total",null,0.45,"Local"]
[null,"Service elasticity",null,0.66,"Default value"]
[null,"Marginal operating cost per generated journey",null,6.0999999999999999E-2,"Local"]
[null,"Net additional marginal capacity cost",null,{"$f":"D86","v":6.0668500016541942E-2}]
[]
[null,"Objective: To obtain marginal capacity costs per generated passenger"]
[]
[null,null,"Where "]
[null,null,"χ is frequency in buses/hr"]
[null,null,"B is pax boardings/hr/mile of route"]
[null,null,"0.6 is the Mohring power (a 10% increase in demand lead to 6% increase in frequency)"]
[null,null,"0 is the scenario without an additional passenger and 1 with one additional passenger"]
[]
[null,"The Mohring relationship is based on proportionate changes in demand and frequency so it is necessary to make assumptions on base frequency and base passenger boardings. These base assumptions have no impact on the estimated marginal capacity cost per generated passenger"]
[]
[null,"BASE FREQUENCY ASSUMPTION"]
[null,"10 minute frequency ",6,"buses/hr"]
[null,null,"Where"]
[null,null,"M is mean passenger journey length"]
[null,null,"B is the mean rate of passenger boardings per km of route per hour"]
[null,null,"Χ is frequency"]
[]
[null,"Implies",{"$f":"(D8*C28/D10)/C28","v":3.6326530612244898},"pax boardings/km of route/bus"]
[null,null,{"$f":"(D8*C28)/D10","v":21.795918367346939},"pax boardings/km of route/hour"]
[null,"One additional passenger has the following impacts:",{"$f":"1/D9","v":0.1},"additional passenger/mile of route/hour"]
[null,"Change in frequency (applying the mohring rule)",{"$f":"C28*((C35+C36)/C35)^0.6","v":6.0165017303788062},"buses/hr"]
[]
[null,"Additional vehicle hour costs from generated passenger"]
[null,null,"Where"]
[null,null,"s is speed"]
[null,null,"L is route length"]
[]
[null,null,"Without marginal passenger","With marginal passenger"]
[null,"Vehicle hours/hr (To operate one side)",{"$f":"C28/(D7/D9)","v":5.5045871559633026},{"$f":"C37/(D7/D9)","v":5.519726358145693}]
[null,"Vehicle hours/hr (To operate both sides)",{"$f":"C45*2","v":11.009174311926605},{"$f":"D45*2","v":11.039452716291386}]
[null,"Change in vehicle hours",null,{"$f":"D45-C45","v":1.5139202182390399E-2}]
[null,"Vehicle hour cost per hour",null,{"$f":"D6","v":13.3}]
[null,"Additional vehicle hour cost",null,{"$f":"D48*D47","v":0.2013513890257923}]
[]
[null,"Additional Vehicle mile costs from generated passenger"]
[null,null,"Where"]
[null,null,"Vhr is vehicle hours"]
[null,null,"s is speed"]
[null,null,"Without marginal passenger","With marginal passenger"]
[null,"Vm/hr(To operate one side)",{"$f":"C45*D7","v":60},{"$f":"D45*D7","v":60.165017303788055}]
[null,"Vm/hr(To operate both sides)",{"$f":"C56*2","v":120},{"$f":"D56*2","v":120.33003460757611}]
[null,"Change in vehicle miles",null,{"$f":"D56-C56","v":0.1650173037880549}]
[null,"Vehicle cost per mile",null,{"$f":"D5","v":0.7}]
[null,"Additional Vehile mile cost",null,{"$f":"D59*D58","v":0.11551211265163842}]
[]
[null,"Commercial revenue generated from additional frequency"]
[null,null,"Short run","Long run"]
[null,"Fare paying passengers' service frequency elasticity",0.38,0.66," 10% change in service frequency leads to 6.6% change in commercial patronage"]
[null,"% Change in frequency",{"$f":"(C37/C28-1)*100","v":0.27502883964676261},{"$f":"C65","v":0.27502883964676261}]
[null,"implying % Change in commercial patronage",{"$f":"C65*C64","v":0.10451095906576979},{"$f":"D65*D64","v":0.18151903416686332}]
[null,"Total boardings/hour (one way)",{"$f":"C34*C28*D9","v":217.9591836734694},{"$f":"C67","v":217.9591836734694}]
[null,"Total boardings/hour (both sides)",{"$f":"C67*2","v":435.91836734693879},{"$f":"C68","v":435.91836734693879}]
[null,"Commercial patronage as a proportion of total",{"$f":"D12","v":0.45},{"$f":"D12","v":0.45}]
[null,"implying commercial journeys",{"$f":"C69*C67","v":98.081632653061234},{"$f":"C70","v":98.081632653061234}]
[null,"Change in commercial journeys (from increased frequency)",{"$f":"C70*C66/100","v":0.10250605495307953},{"$f":"D70*D66/100","v":0.17803683228692757}]
[null,"Commercial average fare",{"$f":"D11","v":1.5},{"$f":"D11","v":1.5}]
[null,"implying revenue gain",{"$f":"C72*C71","v":0.1537590824296193},{"$f":"D72*D71","v":0.26705524843039136}]
[]
[null,"Increased cost from additional commercial passengers"]
[null,"Marginal operating cost per additional passenger",{"$f":"D14","v":6.0999999999999999E-2},{"$f":"D14","v":6.0999999999999999E-2}]
[null,"Implying additional cost from commercial passengers",{"$f":"C71*C76","v":6.2528693521378513E-3},{"$f":"D76*D71","v":1.0860246769502582E-2}]
[]
[null,"NET MARGINAL CAPACITY COSTS"]
[null,"Gross additional cost per generated passenger journey"]
[null,"Additional vehicle hour cost",null,{"$f":"D49","v":0.2013513890257923}]
[null,"Additional vehicle mile cost",null,{"$f":"D60","v":0.11551211265163842}]
[]
[null,"Revenue gain from additional commercial passengers",null,{"$f":"D73","v":0.26705524843039136}]
[null,"Additional marginal operating costs",null,{"$f":"D77","v":1.0860246769502582E-2}]
[null,"Net additional marginal capacity cost",null,{"$f":"D81+D82-D84+D85","v":6.0668500016541942E-2}]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,null,"Use Default Trip Length"]
[null,null,"Use Local Trip Length"]
[]
[null,null,"Yes"]
[null,null,"No"]

{"sheet":"PTE","index":11,"n_rows":43,"n_cols":15,"rows_kept":43,"cut":false,"hidden":false,"merged":[]}
["ENTER OLD PAX RATIO CONCFARE/FREE",null,0.75295850538825659,null,null,null,null,null,"Shifted demand functions"]
["IMPLIED ELAST AT FARE=1 (2005/6)",null,{"$f":"C40","v":-0.5140157734077605},null,null,null,null,null,"Parameters ","Parameters "]
["Demand",null,null,"Demand",null,null,"Demand","Shifted","for lower","for"]
["function","OLD PASSHOLDER DEMAND",null,"function",null,null,"function","demand","piecewise","single"]
["parameters",null,null,"parameters for lower piecewise section",null,null,"parameters approx single curve","functions","section","curve"]
["k = ",100,null,"k = ",{"$f":"B6","v":100},null,{"$f":"B6","v":100},"Full fare",{"$f":"B6","v":100},{"$f":"B6","v":100}]
["b = ",{"$f":"LN(C1)/A26^B8","v":-0.64251971675970065},null,"b = ",{"$f":"+B7-((LN(B6/(B6*B9)))/(A26^B8))","v":-0.77838529778233945},null,{"$f":"(LN(B9)+B7*(A26^B8))/(A26^G8)","v":-0.70383855891433567},"abstraction",{"$f":"LN((B26+H9*(B6-(B6*B9)))/B6)/(A26^B8)","v":-0.72327182038473303},{"$f":"LN(H26/B6)/(A26^J8)","v":-0.66869077279260036}]
["λ = ",0.8,null,"λ = ",{"$f":"B8","v":0.8},null,{"$f":"(LN((LN(B9)+B7*(A18^B8))/(LN(B9)+B7*(A26^B8))))/LN(A18/A26)","v":0.70146086244280337},"rate",{"$f":"B8","v":0.8},{"$f":"(LN(LN(H18/B6)/LN(H26/B6)))/(LN(A18/A26))","v":0.72319944476429909}]
["Factor* = ",0.94176450748472662,"*=Old Passholder trips/Total Trips (2008/9)(from Last 2010 Draft Report MCL/PTE, Table 5)",null,null,null,null,0.3,null,null," "]
[null,null,null,null,"Revised demand curve",null,null,null,"Piecewise"]
[null,null,null,null,null,null,"Matches","Revised","shifted "]
["Fare Index",null,"Target",null,null,"Targets","B","Targets","function"]
[1.5,{"$f":"B$9*B$6*EXP(B$7*($A13^B$8))","v":38.724070642560022},null,"→",{"$f":"B13","v":38.724070642560022},null,{"$f":"G$6*EXP(G$7*($A13^G$8))","v":39.243155353728952},null,{"$f":"B13+$H$26-$F$26","v":40.471135418018221},{"$f":"J$6*EXP(J$7*($A13^J$8))","v":40.797481791250057}]
[{"$f":"A13-0.1","v":1.4},40.61688726650641,null,"→",{"$f":"B14","v":40.61688726650641},null,{"$f":"G$6*EXP(G$7*($A14^G$8))","v":41.01624403136401},null,42.363952041964609,{"$f":"J$6*EXP(J$7*($A14^J$8))","v":42.617142380345427}]
[{"$f":"A14-0.1","v":1.2999999999999998},42.631514207792897,null,"→",42.631514207792897,null,42.910335986387061,null,44.378578983251103,44.556809093256049]
[1.1999999999999997,44.77970058471395,null,"→",44.77970058471395,null,44.939053229580757,null,46.526765360172149,46.629450740079967]
[1.0999999999999996,47.075061571858605,null,"→",47.075061571858605,null,47.11855602372588,null,48.822126347316797,48.850375718388342]
[1.0609999999999999,48.013500339932627,null,"→",48.013500339932627,{"$f":"E18","v":48.013500339932627},48.013500339932627,{"$f":"F18+H26-F26","v":49.760565115390833},49.760565115390833,49.760565115390825]
[{"$f":"A17-0.1","v":0.99999999999999967},49.533561083141272,null,"→",49.533561083141272,null,49.468278564686408,null,51.280625858599464,51.237895932395752]
[0.89999999999999969,52.174183518724796,null,"→",52.174183518724796,null,52.011974793645045,null,53.921248294183002,53.814266753026708]
[0.79999999999999971,55.019899833280988,null,"→",55.019899833280988,null,54.779255940762027,null,56.766964608739187,56.607063074016764]
[0.69999999999999973,58.099113499507467,null,"→",58.099113499507467,null,57.807945375400529,null,59.846178274965681,59.651277441639863]
[0.59999999999999976,61.447934968657584,null,"→",61.447934968657584,null,61.147873323628446,null,63.194999744115776,62.992685123083781]
[0.49999999999999978,65.113993981508813,null,"→",{"$f":"B24","v":65.113993981508813},null,64.867402739474741,null,66.861058756967012,66.693601816489718]
[{"$f":"A24-0.1","v":0.3999999999999998},69.163392036322023,null,"→",{"$f":"B25","v":69.163392036322023},null,69.065665049642135,null,70.910456811780207,70.843619492992943]
[0.36,70.910959598340739,{"$f":"$B$9*B6*C1","v":70.910959598340739},"→",{"$f":"B26","v":70.910959598340739},{"$f":"E26","v":70.910959598340739},70.910959598340725,{"$f":"F26+(H9*(B6-B35))","v":72.658024373798938},72.658024373798938,72.658024373798938]
[0.35899999999999999,70.955698676336596,{"$f":"+C26-B26","v":0},null,{"$f":"E$6*EXP(E$7*($A27^E$8))","v":70.965162702541249},null,70.958490570492998,null,{"$f":"I$6*EXP(I$7*($A27^I$8))","v":72.709629108848418},72.704678411438749,null,null,null,null,{"$f":"EXP(0)","v":1}]
[0.33,72.276893706139717,null,null,72.569083866668976,null,72.369002804871442,null,74.23540869020519,74.087265257538789]
[{"$f":"A25-0.1","v":0.29999999999999982},73.6949729975465,null,null,74.297531457027176,null,73.898459801512388,null,75.876978361092,75.582190169493018]
[0.19999999999999982,78.875405036460322,null,null,80.670901117981018,null,79.644248288238884,null,81.907148408999092,81.155748523895127]
[9.9999999999999811E-2,85.05836311581335,null,null,88.394029699898709,null,86.93906963559202,null,89.169524493203809,88.119073929655656]
[7.4999999999999997E-2,86.857825259853257,null,null,90.664531124747697,null,89.191368459050011,null,91.295854594823012,90.237634950509033]
[0.05,88.82629654926123,null,null,93.159694482908407,null,91.753006921757105,null,93.628239938717201,92.624518815772689]
[2.5000000000000001E-2,91.065402468664715,null,null,96.012142060061962,null,94.844769854465795,null,96.289194402949931,95.464997884834347]
[0,94.176450748472661,null,null,{"$f":"E$6*EXP(E$7*($A35^E$8))","v":100},{"$f":"E35","v":100},100,{"$f":"F35","v":100},{"$f":"I$6*EXP(I$7*($A35^I$8))","v":100},100]
[null,null,null,null,"B"]
[]
[]
[]
["Elasticity at Fare (index) = 1 is equal to ",null,{"$f":"B8*B7*(1^B8)","v":-0.5140157734077605},null,null,null,"Elasticity at Fare Index = 1.061 is equal to ",null,null,{"$f":"J8*J7*(1.061^J8)","v":-0.50475515827005268}]
["for old-type passholders (2005/6 fares)",null,null,null,null,null,"for all passholders (2008/9 fares)"]
["Elast at Conc Fare (index) = 0.36 is equal to ",null,{"$f":"B8*B7*(A26^B8)","v":-0.22699612674136532}]
["for old-type passholders (2005/6 fares)"]

{"sheet":"Non-PTE","index":12,"n_rows":43,"n_cols":15,"rows_kept":43,"cut":false,"hidden":false,"merged":[]}
["ENTER OLD PAX RATIO CONCFARE/FREE",null,0.67092949778834299,null,null,null,null,null,"Shifted demand functions"]
["IMPLIED ELAST AT FARE=1 (2005/6)",null,{"$f":"C40","v":-0.67025749126462675},null,null,null,null,null,"Parameters ","Parameters "]
["Demand",null,null,"Demand",null,null,"Demand","Shifted","Parameters ","for"]
["function","OLD PASSHOLDER DEMAND",null,"function",null,null,"function","demand","piecewise","single"]
["parameters",null,null,"parameters for lower piecewise section",null,null,"parameters approx single curve","functions","section","curve"]
["k = ",100,null,"k = ",{"$f":"B6","v":100},null,{"$f":"B6","v":100},"Full fare",{"$f":"B6","v":100},{"$f":"B6","v":100}]
["b = ",{"$f":"LN(C1)/A26^B8","v":-0.74473054584958531},null,"b = ",{"$f":"+B7-((LN(B6/(B6*B9)))/(A26^B8))","v":-1.2361294901633597},null,{"$f":"(LN(B9)+B7*(A26^B8))/(A26^G8)","v":-1.0115751932567498},"abstraction",{"$f":"LN((B26+H9*(B6-(B6*B9)))/B6)/(A26^B8)","v":-1.000307501635205},{"$f":"LN(H26/B6)/(A26^J8)","v":-0.8356666825757737}]
["λ = ",0.9,null,"λ = ",{"$f":"B8","v":0.9},null,{"$f":"(LN((LN(B9)+B7*(A18^B8))/(LN(B9)+B7*(A26^B8))))/LN(A18/A26)","v":0.61077368350238048},"rate",{"$f":"B8","v":0.9},{"$f":"(LN(LN(H18/B6)/LN(H26/B6)))/(LN(A18/A26))","v":0.64055596002666726}]
["Factor* = ",0.76848504666215289,"*=Old Passholder trips/Total Trips (2008/9)(from Last 2010 Draft Report MCL/PTE, Table 5)",null,null,null,null,0.3]
[null,null,null,null,"Revised demand curve",null,null,null,"Piecewise"]
[null,null,null,null,null,null,"Matches","Revised","shifted "]
["Fare Index",null,"Target",null,null,"Targets","B","Targets","function"]
[1.5,{"$f":"B$9*B$6*EXP(B$7*($A13^B$8))","v":26.288420399054349},null,"→",{"$f":"B13","v":26.288420399054349},null,{"$f":"G$6*EXP(G$7*($A13^G$8))","v":27.366895156956613},null,{"$f":"B13+$H$26-$F$26","v":33.23386899918976},{"$f":"J$6*EXP(J$7*($A13^J$8))","v":33.840861588835814}]
[{"$f":"A13-0.1","v":1.4},28.04221288968639,null,"→",{"$f":"B14","v":28.04221288968639},null,{"$f":"G$6*EXP(G$7*($A14^G$8))","v":28.870053270455792},null,34.987661489821797,{"$f":"J$6*EXP(J$7*($A14^J$8))","v":35.463725331245975}]
[{"$f":"A14-0.1","v":1.2999999999999998},29.926871020312699,null,"→",29.926871020312699,null,30.501766580145613,null,36.872319620448117,37.209762285060989]
[1.1999999999999997,31.954255781564417,null,"→",31.954255781564417,null,32.279662292785702,null,38.899704381699827,39.094467069962349]
[1.0999999999999996,34.137727990111991,null,"→",34.137727990111991,null,34.225140696480302,null,41.083176590247412,41.1364762606147]
[1.0609999999999999,35.034796645634096,null,"→",{"$f":"B18","v":35.034796645634096},{"$f":"E18","v":35.034796645634096},35.034796645634088,{"$f":"F18+H26-F26","v":41.980245245769517},41.980245245769517,41.980245245769517]
[{"$f":"A17-0.1","v":0.99999999999999967},36.492452782347705,null,"→",36.492452782347705,null,36.364571590998246,null,43.437901382483126,43.358532127587615]
[0.89999999999999969,39.035805711976209,null,"→",39.035805711976209,null,38.731026521637737,null,45.981254312111624,45.788868669899877]
[0.79999999999999971,41.78793204165261,null,"→",41.78793204165261,null,41.366874712523369,null,48.733380641788024,48.463274358269018]
[0.69999999999999973,44.772547960051035,null,"→",44.772547960051035,null,44.327839757900463,null,51.717996560186442,51.428292329573111]
[0.65,46.360711301225933,null,"→",46.360711301225933,null,45.952863456060214,null,53.306159901361347,53.038486548880101]
[0.6,48.018146252889558,null,"→",{"$f":"B24","v":48.018146252889558},null,47.689677840293378,null,54.963594853024979,54.746448602970077]
[0.55000000000000004,49.749475267256159,null,"→",{"$f":"B25","v":49.749475267256159},null,49.552789800141348,null,56.694923867391573,56.563973068818441]
[0.5,51.559928641488959,{"$f":"$B$9*B6*C1","v":51.559928641488959},"→",{"$f":"B26","v":51.559928641488959},{"$f":"E26","v":51.559928641488959},51.559928641488959,{"$f":"F26+(H9*(B6-B35))","v":58.505377241624373},58.505377241624366,58.505377241624366]
[0.499,51.596984464103393,{"$f":"+C26-B26","v":0},null,{"$f":"E$6*EXP(E$7*($A27^E$8))","v":51.62144975873322},null,51.60168326248089,null,{"$f":"I$6*EXP(I$7*($A27^I$8))","v":58.561861553139025},58.54558360470142,null,null,null,null,{"$f":"EXP(0)","v":1}]
[0.4,55.443172912225116,null,null,58.164294653061354,null,56.100506189096222,null,64.499152995017695,62.835209900104175]
[{"$f":"A25-0.1","v":0.45000000000000007},53.455500875981272,null,null,54.744270390766758,null,53.7331528381048,null,61.412528927583296,60.588349057666292]
[0.35000000000000009,57.531240882670325,null,null,61.845230657963626,null,58.698602937759084,null,67.782825283252052,65.274875788858736]
[0.25000000000000011,{"$f":"B$9*B$6*EXP(B$7*($A31^B$8))","v":62.051725764008133},null,null,70.118397633022994,null,64.80507678307778,null,75.031444868540063,70.902913214398382]
[7.4999999999999997E-2,{"$f":"B$9*B$6*EXP(B$7*($A32^B$8))","v":71.483504960953582},null,null,88.681308524603793,null,81.226465495285069,null,90.736996440405576,85.298082147908758]
[0.05,{"$f":"B$9*B$6*EXP(B$7*($A33^B$8))","v":73.082826268624146},null,null,91.998821764465461,null,85.017188601434924,null,93.474184659187898,88.457745151400943]
[2.5000000000000001E-2,{"$f":"B$9*B$6*EXP(B$7*($A34^B$8))","v":74.807015091099828},null,null,95.629392432829917,null,89.916172218425388,null,96.448185864635988,92.43424194806785]
[0,{"$f":"B$9*B$6*EXP(B$7*($A35^B$8))","v":76.848504666215291},null,null,{"$f":"E$6*EXP(E$7*($A35^E$8))","v":100},{"$f":"E35","v":100},100,{"$f":"F35","v":100},{"$f":"I$6*EXP(I$7*($A35^I$8))","v":100},100]
[null,null,null,null,"B"]
[]
[]
[]
["Elasticity at Fare (index) = 1 is equal to ",null,{"$f":"B8*B7*(1^B8)","v":-0.67025749126462675},null,null,null,"Elasticity at Fare Index = 1.061 is equal to ",null,null,{"$f":"J8*J7*(1.061^J8)","v":-0.55598401617009463}]
["for old-type passholders (2005/6 fares)",null,null,null,null,null,"for all passholders (2008/9 fares)"]
["Elast at Conc Fare (index) = 0.5 is equal to ",null,{"$f":"B8*B7*(A26^B8)","v":-0.35918209610178914}]
["for old-type passholders (2005/6 fares)"]