This paper has two aims. First, it describes CPB's contribution on bilateral services trade data to version 7 of the GTAP database. Among others, it uses reliability indices to determine the quality of the data reported by exporting and importing countries. Second, this paper discusses briefly...

This memorandum presents some basic equalities and inequalities about rates of return in discrete time, without auto-correlation. The arithmetic and geometric means are discussed. Estimation of the expected payout and the median payout is discussed, including maximum likelihood estimation.

This CPB Discussion Paper merges two isolated bodies of literature: the Markov chain model with macro data (MacRae, 1977) and the ecological inference model (Robinson, 1950). Both are choice models. They have the same likelihood function and the same regression equation. Decades ago, this...

Mirror data are observations of bilateral variables such as trade from one country to another, reported by both countries. The efficient estimation of a bilateral variable from its mirror data, for example when compiling consistent international trade statistics, requires information about the...

The coming energy transition in residential neighbourhoods in the Netherlands is the result of the increasing cost of CO2 emission and the decreasing costs of solar PhotoVoltaics (PV) and alternative techniques of residential heating, namely Combined Heat and Power (CHP) and heat pump. The...

In this memorandum the optimal capacity of Combined Heat and Power (CHP) is derived, using a simple model with an analytical solution. The solution is expressed as the fraction of the time during which the heat demand exceeds the optimal CHP heat production capacity.

Characteristic roots, or eigenvalues, are a useful tool in the study of linear dynamic economic models. The relation between the roots and the model coefficients are expressed in the derivatives of the former with respect to the latter. In general, the roots are complex numbers. This note...

A simple model of “hourglass†problems is presented. For such problems, the benefit of a national policy measure is propagated to all countries through one single world-wide variable.<span style="font-family: NimbusRomNo9L-Regu; font-size: small;"><span style="font-family: NimbusRomNo9L-Regu; font-size: small;">The prime example is the effect of the reduction of CO</span></span><span style="font-family: NimbusRomNo9L-Regu; font-size: xx-small;"><span style="font-family: NimbusRomNo9L-Regu; font-size: xx-small;">2 </span></span><span style="font-family: NimbusRomNo9L-Regu; font-size: small;"><span style="font-family: NimbusRomNo9L-Regu; font-size: small;">emission on the world climate.</span></span><span style="font-family: NimbusRomNo9L-Regu; font-size: small;"><span style="font-family: NimbusRomNo9L-Regu; font-size: small;">Five </span></span><span style="font-family: NimbusRomNo9L-Regu; font-size: small;"><span style="font-family: NimbusRomNo9L-Regu; font-size: small;">optimal...</span></span>

This paper discusses a widely used discrete-time analog of dynamic continuous-time models. This analog can not be used for the estimation of models with fast adaption to shocks. This has been overlooked in the econometric literature. In the engineering literature this same analogon is...

With the ongoing liberalization and integration of European energy markets and the increasing worries about security of supply, the need for thorough economic analysis of electricity markets is growing. Elmar is a model for the European electricity market, taking into account imperfect...