# Monetary value measures in a category of probability spaces

## TL;DR

This paper extends the concept of monetary value measures from a categorical framework to the broader setting of probability spaces, enhancing the theoretical foundation for financial risk assessment.

## Contribution

It generalizes monetary value measures by shifting from a specific category to the category of probability spaces, broadening their applicability.

## Key findings

- Extended monetary value measures to probability spaces
- Provided a categorical framework for financial risk measures
- Enhanced theoretical understanding of monetary value in probabilistic contexts

## Abstract

We generalize the notion of monetary value measures developed with category theory in [Adachi, 2014] by extending their base category from the category \c{hi} to the category of probability spaces Prob introduced in [Adachi and Ryu, 2016].