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Unit Root Analysis of Traffic Time Series in Toll Highways

机译:收费公路交通时间序列的单位根分析

摘要

Concession contracts in highways often include some kind of clauses (for example, a minimum traffic guarantee) that allow for better management of the business risks. The value of these clauses may be important and should be added to the total value of the concession. However, in these cases, traditional valuation techniques, like the NPV (net present value) of the project, are insufficient. An alternative methodology for the valuation of highway concession is one based on the real options approach. This methodology is generally built on the assumption of the evolution of traffic volume as a GBM (geometric Brownian motion), which is the hypothesis analyzed in this paper. First, a description of the methodology used for the analysis of the existence of unit roots (i.e., the hypothesis of non-stationarity) is provided. The Dickey-Fuller approach has been used, which is the most common test for this kind of analysis. Then this methodology is applied to perform a statistical analysis of traffic series in Spanish toll highways. For this purpose, data on the AADT (annual average daily traffic) on a set of highways have been used. The period of analysis is around thirty years in most cases. The main outcome of the research is that the hypothesis that traffic volume follows a GBM process in Spanish toll highways cannot be rejected. This result is robust, and therefore it can be used as a starting point for the application of the real options theory to assess toll highway concessions.
机译:高速公路上的特许经营合同通常包含某种条款(例如,最低交通保证),可以更好地管理业务风险。这些条款的价值可能很重要,应添加到特许权的总价值中。但是,在这些情况下,传统的估值技术(如项目的NPV(净现值))是不够的。公路特许权估价的另一种方法是基于实物期权方法的方法。这种方法通常基于将流量作为GBM(几何布朗运动)演变的假设,这是本文分析的假设。首先,提供了用于分析单位根的存在(即,非平稳性的假设)的方法的描述。使用了Dickey-Fuller方法,这是这种分析的最常见测试。然后将该方法应用于西班牙收费公路的交通流量统计分析。为此,使用了一组高速公路的AADT(年平均每日交通量)数据。在大多数情况下,分析时间约为30年。该研究的主要结果是,不能拒绝西班牙收费公路遵循GBM流程的交通量的假设。该结果是可靠的,因此可以用作实物期权理论评估收费公路特许权的起点。

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