# Monetary Measures of Risk

## TL;DR

This survey introduces monetary measures of risk, explaining their mathematical properties, representations, and construction methods, with extensions to broader contexts.

## Contribution

It provides a comprehensive overview of monetary risk measures, including primal and dual representations and construction techniques, advancing understanding in the field.

## Key findings

- Discusses primal and dual representation results
- Provides examples of monetary risk measures
- Outlines methods for constructing risk measures

## Abstract

This survey gives an introduction to monetary measures of risk as monotone and cash additive functions on spaces of univariate random variables. Primal and dual representation results as well as several examples are discussed. Principal ways to construct risk measures are given and extensions to more general situations indicated.