Abstract
Starting from the Markowitz’s formula for a portfolio we compute the solutions for three structures of dependencies and use acyclic directed graphs (DAGs) to represent the structures. Same levels of returns and volatilities are adopted for all assets in order to focus just on the role of correlations. We start with two structures of dependencies among three assets. We then compute the optimal solution for a four assets portfolio whose DAG is the superposition of the previous patterns.
| Original language | English |
|---|---|
| Title of host publication | Mathematical and Statistical Methods for Actuarial Sciences and Finance |
| Publisher | Springer, Cham |
| Pages | 329-335 |
| Number of pages | 7 |
| ISBN (Print) | 978-3-030-78964-0 |
| DOIs | |
| Publication status | Published - 2021 |
All Science Journal Classification (ASJC) codes
- General Economics,Econometrics and Finance
- General Business,Management and Accounting
Keywords
- Financial modelling
- Graphical models
- markowitz's portfolio