In this paper we investigate the number and maximum severity of the ruin excursion of the insurance portfolio reserve process in the Cramér–Lundberg model with and without tax payments. We also provide a relation of the Cramér–Lundberg risk model with the G/G/∞ queue and use it to derive some explicit ruin probability formulae. Finally, the renewal risk model with tax is considered, and an asym...

We propose a structural credit risk model for consumer lending using option theory and the concept of the value of the consumer’s reputation. Using Brazilian empirical data and a credit bureau score as proxy for creditworthiness we compare a number of alternative models before suggesting one that leads to a simple analytical solution for the probability of default. We apply the proposed model t...

We provide an introduction and overview to operational risk modeling according to the Basel II legal documents and summarize observed practices and issues as well as suggested approaches for measuring and quantifying operational risk.

Predictability of Asset Returns and the Efficient Market Hypothesis This paper is concerned with empirical and theoretical basis of the Efficient Market Hypothesis (EMH). The paper begins with an overview of the statistical properties of asset returns at different frequencies (daily, weekly and monthly), and considers the evidence on return predictability, risk aversion and market efficiency. T...

Dealing with uncertainty on financial markets is very difficult task. The investor’s decision is highly dependent on the selected criteria which should help him to select the best among available investment opportunities. Harry Markowitz, [12], introduced his mean-risk model more than 50 years ago where variance was used as the risk measure. Many other risk measures has been proposed since then...

In this paper, under the assumption that the claimsize is Negatively dependent subexponentially distributed and the constant interest force is considered, a simple asymptotics of ruin probability for renewal risk model within finite horizon is obtained. The results obtained extended the corresponding results of related papers.

The volatility surface implied by option prices presents a structure that changes over time. The aim of this study is to present a framework to model the implied volatility of the FTSE options in real time, and to present a prototype application that implements this framework. We adapt the parametric models presented in Dumas et al (1998) to estimate the surfaces across moneyness instead of acr...

We consider a financial model where the prices of risky assets are quoted by a representative market maker who takes into account an exogenous demand. We characterize these prices in terms of a system of BSDEs with quadratic growth. We show that this system admits a unique solution for every bounded demand if and only if the market maker’s risk-aversion is sufficiently small. The uniqueness is ...