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Zbornik radova Koridor 10 - Kirilo Savić

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3rd International Scientific and Professional Conference<br />

CORRIDOR <strong>10</strong> - a sustainable way of integrations<br />

For the purpose of the highway Public Private Partnership (PPP) projects, World Bank developed<br />

toolkit for financial simulation. This toolkit includes two financial models: graphical and numerical. The<br />

graphical model is simplified model that allows users to visualize real time impact of changes in key<br />

project assumptions. The numerical model is far more detailed and it could be used by the public<br />

authority for an initial project analysis of possible PPP options at pre-feasibility level, to assess<br />

possible toll rates and subsidy levels [8].<br />

Although developed for the road sector, a review of the above financial models indicated that they can<br />

also be adapted for other sectors, including railways. In this study several modifications were made to<br />

the graphical financial model in order to accommodate rail projects. The changes included primarily<br />

parameters that are used to calculate revenues. The graphical model was chosen because it is<br />

simpler to use and considers fewer parameters than the numerical model.<br />

Graphical model discerns five types of project assumptions: source of funds, construction costs,<br />

operation costs, traffic and tariff, and economic context (as shown in Figure 5). The sources of funds<br />

include: government’s construction subsidy, investor’s equity and credit. The user inputs the<br />

percentage of subsidy and equity in the total construction cost, and debt percentage is calculated<br />

accordingly. The model provides two debt repayment options, one with constant annuity value and<br />

other with constant principal value.<br />

Figure 5. Example of main assumptions for financial analysis of rail projects<br />

using the adapted graphical model<br />

While unit costs of railway and road construction show a wide variation, the former are usually higher<br />

than the latter. For example, railway construction costs between 5 million €/km and 20 million €/km,<br />

and 4-lane road construction costs between 6 million €/km and 8 million €/km, have been reported [9].<br />

Railway operation costs are characterized by high fixed costs and relatively low variable costs [3].<br />

Maintenance costs for a high speed rail line in many European countries range from 30,000 €/km per<br />

year (17) to 44,300 €/km and 56,500 €/km which was reported for France and Netherlands,<br />

respectively [<strong>10</strong>].<br />

The graphical model for highways calculates revenue according to the average number of vehicles per<br />

day and toll rate, which were replaced with the following demand indicators for railways: rail traffic<br />

units per year and price per traffic unit, both of which are used for rail revenue calculations. It should<br />

be noted that traffic growth rate for railways can vary a lot depending on country. For the entire EU,<br />

rail traffic growth rate was about 1.1% in 20<strong>10</strong>.<br />

Belgrade, 2012 65

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