Article citationsMore>>

Øksendal, B. (2003) The Itô Formula and the Martingale Representation Theorem. In: Øksendal, B., Ed., Stochastic Differential Equations: An Introduction with Applications, Springer, 43-63.
https://doi.org/10.1007/978-3-642-14394-6_4

has been cited by the following article:

• TITLE: Adaptive Investment Strategies for Transitioning from Fossil-Fuels to Cleaner Energies: An Application of Conjugate Utilities

  AUTHORS: Gaoganwe Sophie Moagi, Obonye Doctor, Edward Lungu

  KEYWORDS: Energy Transition, Sustainable Finance, Conjugate Utility Theory, Girsanov Theorem, Stochastic Differential Equations, Portfolio Optimization

  JOURNAL NAME: Journal of Mathematical Finance, Vol.16 No.2, April 2, 2026

  ABSTRACT: We have formulated an investment model that applies a conjugate utilities approach to illustrate that wealth can still grow in transitioning portfolios. We have proved that despite one asset being phased out, a unique solution for the wealth process exists. We have determined an optimal pair ( π 1 * , π 2 * ) which guarantees a growing total wealth W( t ) . We have also shown that high stock volatility is detrimental to the return on investment. The results of this study indicate the possibility of portfolio replication while aligning with sustainable development goals, SDG7 and SDG13.