This paper presents a quantitative model of financial transactions between economic agents on economic space. Risk ratings of economic agents play role of their coordinates. Aggregate amounts of agent's financial variables at point x define macro financial variables as functions of time and...

In this paper, we investigate dependent risk models in which the dependence structure is defined by an Archimedean copula. Using such a structure with specific marginals, we derive explicit expressions for the pdf of the aggregated risk and other related quantities. The common mixture...

The contribution of this paper is the extension of theoretical and practical applicability in complex systems of a fundamental concept of extreme value theory. More precisely, the paper formulates a stochastic model and establishes the sufficient conditions for evaluating its distribution...

We propose a unified framework for equity and credit risk modeling, where the default time is a doubly stochastic random time with intensity driven by an underlying affine factor process. This approach allows for flexible interactions between the defaultable stock price, its stochastic...

In actuarial science, collective risk models, in which the aggregate claim amount of a portfolio is defined in terms of random sums, play a crucial role. In these models, it is common to assume that the number of claims and their amounts are independent, even if this might not always be the...

This paper proposes a new method to introduce coherent risk measures for risks with infinite expectation, such as those characterized by some Pareto distributions. Extensions of the conditional value at risk, the weighted conditional value at risk and other examples are given. Actuarial...

Risk capital allocations (RCAs) are an important tool in quantitative risk management, where they are utilized to, e.g., gauge the profitability of distinct business units, determine the price of a new product, and conduct the marginal economic capital analysis. Nevertheless, the notion of RCA...

The catastrophic events are characterized by "low frequency and high severity". Nevertheless, during the last decades, both the frequency and the magnitude of these events have been significantly rising worldwide. In 2021, the European Commission adopted a new Strategy on Adaptation to Climate...

There is nothing like a market crash to focus the mind on the importance of risk management and, more specifically, tail risk management. Because tail events are generally systemic in nature and are characterised by elevated correlations and liquidity squeezes, effective tail risk management is...

The purpose of the transparency on the risk profile of non-equity investment products is to allow investors to take informed investment decisions. In an international framework characterized by an increasing globalization of markets and a growing integration of banking, asset management and...