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Risks, Volume 5, Issue 3

2017 September - 19 articles

Cover Story: The new class of (p,q)-spherical distributions allows modeling heavy and light tails data from various applied areas. The density level lines above the density hill of such a distribution may drastically change their main orientation when switching from the distribution's center to its tails. The adequate mathematical description of such distributions deals with new types of generalized uniform distributions, radius functionals and stochastic representations, generalized circle numbers of non-Euclidean circles, and a corresponding new geometric disintegration method. Due to a suitable coordinate system, the evaluation of probabilities of arbitrary events becomes tractable, also for the Gauss-exponential distribution appearing in high risk limit scenarios. View the paper
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Articles (19)

  • Article
  • Open Access
8 Citations
6,817 Views
12 Pages

19 September 2017

We propose an integrated approach straddling the actuarial science and the mathematical finance approaches to pricing a default-risky catastrophe reinsurance contract. We first apply an incomplete-market version of the no-arbitrage martingale pricing...

(This article belongs to the Special Issue A Celebration of the Ties That Bind Us: Connections between Actuarial Science and Mathematical Finance)
  • Feature Paper
  • Article
  • Open Access
4,776 Views
29 Pages

Interest Rates Term Structure under Ambiguity

  • Silvia Romagnoli and
  • Simona Santoro

14 September 2017

After financial crisis, the role of uncertainty in decision making processes has largely been recognized as the new variable that contributes to shaping interest rates and bond prices. Our aim is to discuss the impact of ambiguity on bonds interest r...

  • Feature Paper
  • Article
  • Open Access
5 Citations
5,062 Views
17 Pages

13 September 2017

Over the last decade, researchers, practitioners, and regulators have had intense debates about how to treat the data collection threshold in operational risk modeling. Several approaches have been employed to fit the loss severity distribution: the...

(This article belongs to the Special Issue A Celebration of the Ties That Bind Us: Connections between Actuarial Science and Mathematical Finance)
  • Article
  • Open Access
5 Citations
6,292 Views
19 Pages

12 September 2017

Energy commodities and their futures naturally show cointegrated price movements. However, there is empirical evidence that the prices of futures with different maturities might have, e.g., different jump behaviours in different market situations. Ob...

  • Article
  • Open Access
11 Citations
5,955 Views
21 Pages

9 September 2017

Means-tested pension policies are typical for many countries, and the assessment of policy changes is critical for policy makers. In this paper, we consider the Australian means-tested Age Pension. In 2015, two important changes were made to the popu...

(This article belongs to the Special Issue Ageing Population Risks)
  • Article
  • Open Access
4 Citations
3,739 Views
14 Pages

28 August 2017

In this work, we focus on volatility estimation which plays a crucial role in risk analysis and management. In order to improve value at risk (VaR) forecasts, we discuss the concept of low price effect and introduce the low price correction which doe...

  • Article
  • Open Access
2 Citations
3,690 Views
19 Pages

28 August 2017

In this paper, the multivariate fractional trading ansatz of money management from Vince (Vince 1990) is discussed. In particular, we prove existence and uniqueness of an “optimal f” of the respective optimization problem under reasonable assumptions...

  • Article
  • Open Access
5 Citations
3,612 Views
14 Pages

On the First Crossing of Two Boundaries by an Order Statistics Risk Process

  • Dimitrina S. Dimitrova,
  • Zvetan G. Ignatov and
  • Vladimir K. Kaishev

18 August 2017

We derive a closed form expression for the probability that a non-decreasing, pure jump stochastic risk process with the order statistics (OS) property will not exit the strip between two non-decreasing, possibly discontinuous, time-dependent boundar...

  • Article
  • Open Access
8 Citations
6,199 Views
77 Pages

27 July 2017

In this study we develop a multi-factor extension of the family of Lee-Carter stochastic mortality models. We build upon the time, period and cohort stochastic model structure to extend it to include exogenous observable demographic features that can...

(This article belongs to the Special Issue Ageing Population Risks)
  • Article
  • Open Access
3 Citations
8,199 Views
30 Pages

26 July 2017

Value-at-Risk (VaR) is a well-accepted risk metric in modern quantitative risk management (QRM). The classical Monte Carlo simulation (MCS) approach, denoted henceforth as the classical approach, assumes the independence of loss severity and loss fre...

  • Feature Paper
  • Article
  • Open Access
5 Citations
4,062 Views
17 Pages

21 July 2017

For evaluating the probabilities of arbitrary random events with respect to a given multivariate probability distribution, specific techniques are of great interest. An important two-dimensional high risk limit law is the Gauss-exponential distributi...

  • Feature Paper
  • Article
  • Open Access
7 Citations
6,378 Views
13 Pages

Stress Testing German Industry Sectors: Results from a Vine Copula Based Quantile Regression

  • Matthias Fischer,
  • Daniel Kraus,
  • Marius Pfeuffer and
  • Claudia Czado

19 July 2017

Measuring interdependence between probabilities of default (PDs) in different industry sectors of an economy plays a crucial role in financial stress testing. Thereby, regression approaches may be employed to model the impact of stressed industry sec...

  • Feature Paper
  • Article
  • Open Access
5 Citations
5,252 Views
28 Pages

Valuation of Non-Life Liabilities from Claims Triangles

  • Mathias Lindholm,
  • Filip Lindskog and
  • Felix Wahl

19 July 2017

This paper provides a complete program for the valuation of aggregate non-life insurance liability cash flows based on claims triangle data. The valuation is fully consistent with the principle of valuation by considering the costs associated with a...

  • Article
  • Open Access
4,630 Views
20 Pages

18 July 2017

This paper proposes a model-free approach to hedging and pricing in the presence of market imperfections such as market incompleteness and frictions. The generality of this framework allows us to conduct an in-depth theoretical analysis of hedging st...

  • Article
  • Open Access
12 Citations
9,574 Views
23 Pages

4 July 2017

This work proposes a backtesting analysis that compares the Lee–Carter and the Cairns–Blake–Dowd mortality models, employing Italian data. The mortality data come from the Italian National Statistics Institute (ISTAT) database and span the period 197...

(This article belongs to the Special Issue Actuarial and Financial Risks in Life Insurance, Pensions and Household Finance)
  • Article
  • Open Access
9 Citations
10,993 Views
17 Pages

4 July 2017

Much of the debate around a potential British exit (Brexit) from the European Union has centred on the potential macroeconomic impact. In this paper, we instead focus on understanding market expectations for price action around the Brexit referendum...

  • Article
  • Open Access
2 Citations
3,592 Views
12 Pages

27 June 2017

Pareto processes are suitable to model stationary heavy-tailed data. Here, we consider the auto-regressive Gaver–Lewis Pareto Process and address a study of the tail behavior. We characterize its local and long-range dependence. We will see that cons...

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Risks - ISSN 2227-9091