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Risks, Volume 1, Issue 3

2013 December - 7 articles

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Articles (7)

  • Article
  • Open Access
1 Citations
5,793 Views
21 Pages

13 December 2013

This paper is concerned with an insurance risk model whose claim process is described by a Lévy subordinator process. Lévy-type risk models have been the object of much research in recent years. Our purpose is to present, in the case of a subordinato...

(This article belongs to the Special Issue Application of Stochastic Processes in Insurance)
  • Article
  • Open Access
1 Citations
6,973 Views
16 Pages

Impact of Climate Change on Heat Wave Risk

  • Romain Biard,
  • Christophette Blanchet-Scalliet,
  • Anne Eyraud-Loisel and
  • Stéphane Loisel

12 December 2013

We study a new risk measure inspired from risk theory with a heat wave risk analysis motivation. We show that this risk measure and its sensitivities can be computed in practice for relevant temperature stochastic processes. This is in particular use...

(This article belongs to the Special Issue Application of Stochastic Processes in Insurance)
  • Article
  • Open Access
10 Citations
6,668 Views
29 Pages

11 November 2013

Value-at-risk (VaR) and conditional value-at-risk (CVaR) are popular risk measures from academic, industrial and regulatory perspectives. The problem of minimizing CVaR is theoretically known to be of a Neyman–Pearson type binary solution. We add a c...

(This article belongs to the Special Issue Systemic Risk and Reinsurance)
  • Article
  • Open Access
22 Citations
6,090 Views
14 Pages

A Risk Model with an Observer in a Markov Environment

  • Hansjörg Albrecher and
  • Jevgenijs Ivanovs

11 November 2013

We consider a spectrally-negative Markov additive process as a model of a risk process in a random environment. Following recent interest in alternative ruin concepts, we assume that ruin occurs when an independent Poissonian observer sees the proces...

(This article belongs to the Special Issue Application of Stochastic Processes in Insurance)
  • Article
  • Open Access
8 Citations
6,899 Views
18 Pages

7 November 2013

We consider an insurance company whose risk reserve is given by a Brownian motion with drift and which is able to invest the money into a Black–Scholes financial market. As optimization criteria, we treat mean-variance problems, problems with other r...

(This article belongs to the Special Issue Application of Stochastic Processes in Insurance)
  • Article
  • Open Access
4 Citations
6,798 Views
20 Pages

25 October 2013

In the actuarial literature, it has become common practice to model future capital returns and mortality rates stochastically in order to capture market risk and forecasting risk. Although interest rates often should and mortality rates always have t...

(This article belongs to the Special Issue Application of Stochastic Processes in Insurance)
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Risks - ISSN 2227-9091