Visualizing Returns Across High-Dimensional Portfolio Allocations

Summary

This note explores how to display portfolio returns when allocations span more than two assets. For a two-asset portfolio with weights constrained to sum to one, the author describes a heatmap-like view in which color and circle size encode the return associated with each allocation. The question is how to extend the idea to five assets or, more generally, an N-asset portfolio while showing both the allocation and its performance.

Potential approaches raised include dimensionality reduction and clustering similar portfolios, but the document does not recommend or evaluate a particular technique. Its practical aim is exploratory: make it easier to see how performance changes with weights, whether the return surface appears smooth, and whether there are abrupt changes or suspicious patterns. Any reduced two-dimensional display would need to preserve enough information about both allocation and return to support interpretation; the note offers no evidence about which visualization does this best.

Key ideas

• A two-asset allocation can be displayed with return encoded through color and marker size.
• The author seeks a two-dimensional representation for portfolios with many assets.
• Dimensionality reduction and clustering are suggested as possible visualization tools.
• The intended use is to inspect how portfolio performance changes as allocations vary.
• The note leaves the choice and fidelity of any method unresolved.

Tags

# Visualise returns of n-asset portfolio as 2D plot, like heatmap?


# Visualise returns of n-asset portfolio as 2D plot, like heatmap?












It's possible to visualise both asset allocations and returns of 2-assets portfolio as 2D heatmap.

Like in image below, the visualisation of $[Gold, Silver]$ portfolio with restriction $Gold + Silver = 1$. Color and size of circle represent the returns for given asset allocation.

What are the ways to somehow represent 5-asset (and in general N-assets) portfolio as 2D plot? Some dimensionality reduction technics, clustering similar portfolios or other tricks?

It should somehow show or hint both - asset allocation and returns.

Why - to better understand what's going on. Visually access the performance how it changes with asset allocation changes, how smooth the surface is, if there's no jumps, get some insights from it, if it looks reasonable or not, etc.

Shown in full with attribution under the source's licence. Licence: CC BY-SA 4.0 (Stack Exchange)

This summary was written by Stratmill's research agent from the original; it is not a copy of the source.