The inclusion of classical physics based methodologies into the fields of economics and finance is common in contemporary econophysical research. However, quantum physics based approaches are more rare. The aim of this research proposal is to investigate the potential of such quantum algorithms in an economic and financial setting. In particular, methodologies based on quantum walks will be of great value. The quantum based methodologies will be used to scrutinize the price evolution of financial assets, both for long term and short term behavior. Moreover, the diffusion properties of the financial products when making use of quantum methodologies will be compared to the classical setting. The conclusions of this research objective are expected to have their use in financial risk analysis. Another advantage of the quantum algorithms is the fact they may offer practical advantages in their algorithmic implementation on a quantum device and in the environmental impact of the corresponding dedicated computer manipulations. Another goal is to perform data analysis on real-life financial data to investigate how well the quantum algorithms succeed at capturing regularities about the behavior of financial markets. These insights and their generalization may help us in delivering a more theoretical quantum economical model.