Optimal annuitisation in a deterministic financial environment

Decisions in Economics and Finance - The global reforms to public pension schemes over the last thirty years have progressively reduced individuals’ post-retirement social security income. In...     

Bounds for Right Tails of Deterministic and Stochastic Sums of Random Variables

We investigate lower and upper bounds for right tails (stop-loss premiums) of deterministic and stochastic sums of nonindependent random variables. The bounds are derived using the concepts of comonotonicity, convex order, and conditioning. The performance of the presented approximations is investigated numerically for individual life annuity contracts as well as for life annuity portfolios, where mortality is modeled by Makeham's law, whereas investment returns are modeled by a Brownian motion process.     

The epistemic claim to the life-world: Alfred Schutz and the debates of the austrian school of economics

The aim of this article is to make a contribution to the reflection on the “interpretive turn” within Austrian economics going back to Alfred Schutz’s notion of life-world sketched out in his first book The Phenomenology of the Social World. In the context of the discussions on how hermeneutics can enrich economics, the problem of objectivism in the production of knowledge is emphasized, i.e., the danger of substitution of social reality upheld by social scientists. Although Schutz’s links with the Austrian School are well known, specialized literature, has not found in Schutz’s work comprehensive solution to the problem that objectivism sets forth regarding the production of knowledge in social sciences. In this article we aim to recover the radical character that Schutz granted his project on phenomenological foundation of social science concepts based on a thorough philosophical analysis of the features of the life-world. We will argue that Schutz sets off based on the problem objectivism in the production of knowledge and offers an answer geared towards the epistemic claim to the life-world. In this regard Schutz draws up a solution that brings together both at the life-world level and at the scientific reflection level, the subjective and objective, the aprioristic and the historical aspects of experience in a phenomenologically based continuum. Finally, and deeply connected to these considerations, new conceptual elements are brought forth to think of the problem of social order.     

Minimizing the Risk of a Financial Product Using a Put Option

In this article, we elaborate a method for determining the optimal strike price for a put option, used to hedge a position in a financial product such as a basket of shares and a bond. This strike price is optimal in the sense that it minimizes, for a given budget, a class of risk measures satisfying certain properties. Formulas are derived for one single underlying as well as for a weighted sum of underlyings. For the latter we will consider two cases depending on the dependence structure of the components in this weighted sum. Applications and numerical results are presented.     

A self-exciting switching jump diffusion: properties,calibration and hitting time

A way to model the clustering of jumps in asset prices consists in combining a diffusion process with a jump Hawkes process in the dynamics of the asset prices. This article proposes a new alternative model based on regime switching processes, referred to as a self-exciting switching jump diffusion (SESJD) model. In this model, jumps in the asset prices are synchronized with changes of states of a hidden Markov chain. The matrix of transition probabilities of this chain is designed in order to approximate the dynamics of a Hawkes process. This model presents several advantages compared to other jump clustering models. Firstly, the SESJD model is easy to fit to time series since estimation can be performed with an enhanced Hamilton filter. Secondly, the model explains various forms of option volatility smiles. Thirdly, several properties about the hitting times of the SESJD model can be inferred by using a fluid embedding technique, which leads to closed form expressions for some financial derivatives, like perpetual binary options.