Crude Oil and Motor Fuel: Fair Price Revisited
In April 2009, we introduced a model representing the evolution of motor fuel price (a subcategory of the consumer price index of transportation) relative to the overall CPI as a linear function of time. Under our framework, all price deviations from the linear trend are transient and the price must promptly return to the trend. Specifically, the model predicted that “the price for motor fuel in the US will also grow by 50% by the end of 2009. Oil price is expected to rise by ~50% as well, from its current value of ~$50 per barrel.” The behavior of actual price has shown that this prediction is accurate in both amplitude and trajectory shape. Hence, one can conclude that the concept of price decomposition into a short-term (oscillating) and long-term (linear trend) components is valid. According to the model, the price of motor fuel and crude oil will be falling to the level of $30 per barrel during the next 5 to 8 years.
Apples and Oranges: Relative Growth Rate of Consumer Price Indices
Headline CPI, core CPI, and indices for various small expenditure categories were analyzed. Sustainable long-term linear trends have been found in the difference between the headline CPI and these indices. Overall, the results completely support our previous findings for such principal categories as energy, food, housing, etc. One should return to relative price of apples and oranges in order to explain these linear trends in terms of the mainstream economics.
Educational innovation in Musical Language Course: responses and the overcoming of limitations
This article presents an innovative methodological proposal for the development of auditory education in the course of the Language of Music. Based on this proposal, we analyze an educational community’s response to the innovations implemented, and we identify the limitations recognized throughout the learning and teaching process, as well as the strategies developed to overcome them. To this end, we applied a qualitative methodology with the classroom-based research method. The compilation of data was carried out through participant observation, captured in the journals of the professor and researcher, interviews and analysis of documents. The research results demonstrate that patience, responsibility and perseverance in their work on behalf of the professors have been key to overcoming the limitations identified and in promoting that students enjoy and learn their class contents in meaningful ways. Recibido 05/02/2018 Aceptado: 09/03/2018