Open Access Journal Article

The Golden Ratio Applied to Financial Gravity Models: Fees, Taxes and Commerce

by Guillermo Peña a,*
a
Department of Economic Analysis and IEDIS, Universidad de Zaragoza, Saragossa, Spain
*
Author to whom correspondence should be addressed.
Received: 8 May 2024 / Accepted: 23 December 2024 / Published Online: 25 December 2024

Abstract

Recently, some authors have found derivations and applications of the golden ratio in economics science. Based on previous models of Financial Gravity (FG) and generalizing them, this paper proposes the maximization of pure flows after charges as a way for applying the golden ratio in the sales-costs of production ratio in competitive equilibrium, leading to an optimal unitary charge of 0.2361… with many economic applications in monetary economics as well as in finance, public economics and taxation, migration flows, VAT on goods and services and commercial trading. Other applications are also suggested for further research. This paper can be useful for mathematical and applied economists, public financiers, bankers and policy and lawmakers.


Copyright: © 2024 by Peña. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY) (Creative Commons Attribution 4.0 International License). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

Funding

Fundación Ibercaja/Universidad de Zaragoza (JIUZ2022-CSJ-19) , Gobierno de Aragón (‘S23_20R: Public Economics Research Group’) , Gobierno de Aragón (‘S39_23R: ADETRE) , Spanish Ministry of Science and Innovation (PID2020-112773GB-I00)

Share and Cite

ACS Style
Peña, G. The Golden Ratio Applied to Financial Gravity Models: Fees, Taxes and Commerce. Economic Analysis Letters, 2024, 3, 69. https://doi.org/10.58567/eal03040004
AMA Style
Peña G. The Golden Ratio Applied to Financial Gravity Models: Fees, Taxes and Commerce. Economic Analysis Letters; 2024, 3(4):69. https://doi.org/10.58567/eal03040004
Chicago/Turabian Style
Peña, Guillermo 2024. "The Golden Ratio Applied to Financial Gravity Models: Fees, Taxes and Commerce" Economic Analysis Letters 3, no.4:69. https://doi.org/10.58567/eal03040004
APA style
Peña, G. (2024). The Golden Ratio Applied to Financial Gravity Models: Fees, Taxes and Commerce. Economic Analysis Letters, 3(4), 69. https://doi.org/10.58567/eal03040004

Article Metrics

Article Access Statistics

References

  1. De Groot, E. A., Segers, R., and Prins, D. (2021). Disentangling the enigma of multi-structured economic cycles-A new appearance of the golden ratio. Technological Forecasting and Social Change, 169: 120793. https://www.sciencedirect.com/science/article/pii/S0040162521002250
  2. Disney, S. M., Towill, D. R., and Van de Velde, W. (2004). Variance amplification and the golden ratio in production and inventory control. International Journal of Production Economics, 90(3), 295-309. https://doi.org/10.1016/j.ijpe.2003.10.009
  3. EuroStat. 2022. Urban-rural Europe- demographic developments in rural regions and areas. https://ec.europa.eu/eurostat/statistics-explained/SEPDF/cache/112342.pdf
  4. Feenstra RC (2002). Advanced international trade: theory and evidence. Princeton university press
  5. IMF (2010). A Fair and Substantial Contribution by the Financial Sector. Final Report for the G-20. [online]. Washington, [cit. 07/05/2017]. Available at: https://www.imf.org/external/np/g20/pdf/062710b.pdf
  6. Jakab, Z., and Kumhof, M. (2019). Banks are not intermediaries of loanable funds—facts, theory and evidence. Bank of England Working Paper, 761. https://www.bankofengland.co.uk/working-paper/2018/banks-are-not-intermediaries-of-loanable-funds-facts-theory-and-evidence
  7. Kumhof, M. and Zoltan, J. (2015). Banks are not intermediaries of loanable funds — and why this matters. Bank of England Working Paper, 529. https://www.bankofengland.co.uk/working-paper/2015/banks-are-not-intermediaries-of-loanable-funds-and-why-this-matters
  8. López-Laborda, J., and Peña, G. (2018). A New Method for Applying VAT to Financial Services. National Tax Journal, 71(1), 155-182. https://doi.org/10.17310/ntj.2018.1.05
  9. McLeay, M., Radia, A., and Thomas, R. (2014). Money in the modern economy: an introduction. Bank of England Quarterly Bulletin, Q1, 4-13. https://www.bankofengland.co.uk/quarterly-bulletin/2014/q1/money-in-the-modern-economy-an-introduction
  10. Malakhov, S. (2021). Original divine proportions of general competitive equilibrium. MPRA Paper No. 110468. https://mpra.ub.uni-muenchen.de/111272/1/MPRA_paper_111272.pdf
  11. Malakhov, S. (2022). Divine Proportion of Invisible Hand: a new look at Adam Smith’s natural theology. Journal of Institutional Studies, 14 (1) (in Russian). https://works.bepress.com/sergey_malakhov/28/
  12. OECD (2024). International Migration Outlook 2024, https://www.oecd.org/en/publications/international-migration-outlook-2024_50b0353e-en.html
  13. Peña, G. (2019). Efficient treatment of banking services under VAT. Economics and Business Letters, 8(2), 115-121. https://doi.org/10.17811/ebl.8.2.2019.115-121
  14. Peña, G. (2020a). Monetary Policy after the Great Moderation. Journal of Central Banking Theory and Practice, 3, 5-26. https://ideas.repec.org/a/cbk/journl/v9y2020i3p5-26.html
  15. Peña, G. (2020b). A new trading algorithm with financial applications. Quantitative Finance and Economics, 4(4), 596-607. https://doi.org/10.3934/QFE.2020027
  16. Peña, G. (2021). The key role of quoted spreads in financial services and transactions. Economics and Business Letters, 10(3), 208-216. https://doi.org/10.17811/ebl.10.3.2021.208-216
  17. Peña, G. (2022). An Algorithmic Trading Strategy to Balance Profitability and Risk, in Davis, F., Schwartz, T., Walker, T. (Ed.): Big Data in Finance: Opportunities and Challenges of Financial Digitalization, Palgrave Macmillan. ISBN:9783031122392. https://doi.org/10.1007/978-3-031-12240-8_3
  18. Peña, G. (2024). A New Trade Openness Rate. IEDIS Working Paper. https://iedis.unizar.es/sites/iedis/files/archivos/PDF/CONGRESO%20IEDIS/III%20CONGRESO%20IEDIS/3_Pe%C3%B1aL5.pdf
  19. Poddar, S. and English, M. (1997). Taxation of Financial Services under a Value-Added Tax: Applying the Cash Flow Approach. National Tax Journal, 50(1), 89-111. https://doi.org/10.1086/NTJ41789244
  20. Rebentrost, P., Gupt, B., and Bromley, T. R. (2018). Quantum computational finance: Monte Carlo pricing of financial derivatives. Physical Review A, 98(2), 022321. https://doi.org/10.1103/PhysRevA.98.022321
  21. Săvoiu, G., and Simăn, I. (2014). A UNIVERSE OF VARIABLES AND UNIVERSAL CONSTANTS. Econophysics, Sociophysics & Other Multidisciplinary Sciences Journal (ESMSJ) Staff, 5, 4(1). https://www.researchgate.net/publication/341598273_A_UNIVERSE_OF_VARIABLES_AND_UNIVERSAL_CONSTANTS
  22. Schuster, S. (2017). A new solution concept for the ultimatum game leading to the golden ratio. Scientific reports, 7(1), 1-11. https://doi.org/10.1038/s41598-017-05122-5
  23. Thomas, P., and Chrystal, A. (2013). Explaining the “buy one get one free” promotion: the golden ratio as a marketing tool. American Journal of Industrial and Business Management, 3(6), 655-673. https://openaccess.city.ac.uk/id/eprint/16301/1/BOGOF.pdf
  24. Ulbert, J., Takács, A., and Csapi, V. (2022). Golden ratio-based capital structure as a tool for boosting firm’s financial performance and market acceptance. Heliyon, e09671. https://doi.org/10.1016/j.heliyon.2022.e09671
  25. World Bank (2024). World Development Indicators https://databank.worldbank.org/Trade--of-GDP/id/54c1b030#