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Risks, Volume 13, Issue 2

February 2025 - 20 articles

Cover Story: A correlation matrix is a matrix summarising the relationship between variables and is widely used in the fields of data science, finance, and machine learning. In practice, however, the correlation matrix estimated from empirical data is rarely positive semidefinite, which makes it invalid in further calculations. To solve this problem, we present two novel methods that aid in finding the nearest correlation matrix that is positive semidefinite. The first algorithm uses iterative optimisations and benefits from great flexibility in choices of norms and user-defined constraints. The second algorithm employs a gradient descent method and is resilient to noise in data while simultaneously maintaining a good level of accuracy. View this paper
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Articles (20)

  • Feature Paper
  • Article
  • Open Access
1,831 Views
25 Pages

7 February 2025

We devise two algorithms for approximating solutions of PSDisation, a problem in actuarial science and finance, to find the nearest valid correlation matrix that is positive semidefinite (PSD). The first method converts the PSDisation problem with a...

  • Article
  • Open Access
1,904 Views
19 Pages

On the Curvature of the Bachelier Implied Volatility

  • Elisa Alòs and
  • David García-Lorite

3 February 2025

Our aim in this paper is to analytically compute the at-the-money second derivative of the Bachelier implied volatility curve as a function of the strike price for correlated stochastic volatility models. We also obtain an expression for the short-te...

  • Article
  • Open Access
4,673 Views
33 Pages

2 February 2025

This paper applies an empirical model of corporate capital structure, optimal debt, and overleveraging to estimate overleveraging measured as the difference between actual and optimal debt. Estimated using a sample of the twenty largest pharmaceutica...

  • Article
  • Open Access
1,194 Views
25 Pages

30 January 2025

To address a key issue in functional time series analysis on testing the randomness of an observed series, we propose an IID test for functional time series by generalizing the Brock–Dechert–Scheinkman (BDS) test, which is commonly used f...

  • Article
  • Open Access
2,704 Views
72 Pages

Sectoral Counter-Cyclical Approach to Financial Risk Management Based on CSR for Sustainable Development of Companies

  • Uran Zh. Ergeshbaev,
  • Dilobar M. Mavlyanova,
  • Yulia G. Leskova,
  • Elena G. Popkova and
  • Elena S. Petrenko

30 January 2025

This research determines the contribution of Corporate Social Responsibility (CSR) to reducing financial risks and, consequently, to the sustainable development of companies in different sectors of the economy and at different phases of the economic...

  • Article
  • Open Access
1 Citations
1,895 Views
19 Pages

Redesigning Home Reversion Products to Empower Retirement for Singapore’s Public Flat Owners

  • Koon Shing Kwong,
  • Jing Rong Goh,
  • Jordan Jie Xin Lee and
  • Ting Lin Collin Chua

30 January 2025

This paper introduces an innovative sell-type home reversion product aimed at monetizing Singapore’s public flats, serving as a new alternative to the existing Singapore Lease Buyback Scheme (LBS). This new product not only retains the LBS&rsqu...

  • Article
  • Open Access
2,155 Views
27 Pages

A Different Risk–Return Relationship

  • Aydin Selim Oksoy,
  • Matthew R. Farrell and
  • Shaomin Li

27 January 2025

We challenge the widely accepted premise that the valuation of an early-stage firm is simply the capital invested (USD) divided by the equity received (%). Instead, we argue that this calculation determines the break-even point for the investor; for...

  • Article
  • Open Access
1 Citations
1,589 Views
23 Pages

24 January 2025

Investigating how systemic risk originates and spreads across the financial system poses an inherently compositional question, i.e., a question concerning the joint distribution of relative risk share across several interdependent contributors. To ad...

  • Article
  • Open Access
3 Citations
3,144 Views
16 Pages

22 January 2025

This study addresses the quantification of credit risk in solidarity economy entities, proposing a new methodology to redefine the concept of a “default” in the frequent situations of extreme class imbalances. The objective is to develop...

  • Feature Paper
  • Article
  • Open Access
2,098 Views
24 Pages

21 January 2025

When inter-arrival times between events follow an exponential distribution, this implies a Poisson frequency of events, as both models assume events occur independently and at a constant average rate. However, these assumptions are often violated in...

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Risks - ISSN 2227-9091