The significant excess of the price of risk, research question in the version paper, [S. Chule, in Applied Mathematical Finance, submitted June 2016], is space-domain form re-evaluated into the stochastic problem objective of the premium risk. The adapts of the conventional generic replication...

Downside risk measures play a very interesting role in risk management problems. In particular, the value at risk (VaR) and the conditional value at risk (CVaR) have become very important instruments to address problems such as risk optimization, capital requirements, portfolio selection,...

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...

Every structure has natural frequencies. Minor shocks in these frequencies can bring down any structure, e.g. a bridge. An Investment Universe also has natural frequencies, characterized by its eigenvectors. A concentration of risks in the direction of any such eigenvector exposes a portfolio to...

A basic assumption of the classic reinsurance model is that the distribution of the loss is precisely known. In practice, only partial information is available for the loss distribution due to the lack of data and estimation error. We study a distributionally robust reinsurance problem by...

In this paper, we study the worst-case distortion risk measure when information about distortion functions is partially available. We obtain the explicit forms of the worst-case distortion functions from several different sets of plausible distortion functions. When there is no concavity...

This paper focuses on the key credit risk parameter Loss Given Default (LGD). We describe its general properties and determinants with respect to seniority of debt, characteristics of debtors or macroeconomic conditions. Further, we illustrate how the LGD can be extracted from market observable...

We study risk-minimization for a large class of insurance contracts. Given that the individual progress in time of visiting an insurance policy's states follows an F-doubly stochastic Markov chain, we describe different state-dependent types of insurance benefits. These cover single payments at...

We model and measure simultaneous large losses of the market value of insurers to understand the impact of shocks on the insurance sector. The downside risk of insurers is explicitly modelled by common and idiosyncratic risk factors. Since reinsurance is important for the capacity of insurers,...

This paper focuses on the key credit risk parameter Loss Given Default (LGD). We describe its general properties and determinants with respect to seniority of debt, characteristics of debtors or macroeconomic conditions. Further, we illustrate how the LGD can be extracted from market observable...