Intenzitásalapú modellezés és a mértékcsere (Intensity-based modeling and thje change of measure)

A dolgozatban a hitelderivatívák intenzitásalapú modellezésének néhány kérdését vizsgáljuk meg. Megmutatjuk, hogy alkalmas mértékcserével nemcsak a duplán sztochasztikus folyamatok, hanem tetszőleges intenzitással rendelkező pontfolyamat esetén is kiszámolható az összetett kár- és csődfolyamat eloszlásának Laplace-transzformáltja. _____ The paper addresses questions concerning the use of intensity based modeling in the pricing of credit derivatives. As the specification of the distribution of the lossprocess is a non-trivial exercise, the well-know technique for this task utilizes the inversion of the Laplace-transform. A popular choice for the model is the class of doubly stochastic processes given that their Laplace-transforms can be determined easily. Unfortunately these processes lack several key features supported by the empirical observations, e.g. they cannot replicate the self-exciting nature of defaults. The aim of the paper is to show that by using an appropriate change of measure the Laplace-transform can be calculated not only for a doubly stochastic process, but for an arbitrary point process with intensity as well. To support the application of the technique, we investigate the e®ect of the change of measure on the stochastic nature of the underlying process.

A kockázat szerepe a könyvvizsgálatban = The role of risk in external audits

A tanulmány a kockázatnak és a kockázatok felmérésének az éves beszámolók (pénzügyi kimutatások) könyvvizsgálatban betöltött szerepével foglalkozik. A modern könyvvizsgálat – belső és külső korlátainál fogva – nem létezhet a vizsgált vállalkozás üzleti kockázatainak felmérése nélkül. Olyannyira igaz ez, hogy a szakma alapvető szabályait lefektető nemzeti és nemzetközi standardok is kötelező jelleggel előírják az ügyfelek üzleti kockázatainak megismerését. Mindez nem öncélú tevékenység, hanem éppen ez jelenti a könyvvizsgálat kiinduló magját: a kockázatbecslés – a tervezés részeként – az audit végrehajtásának alapja, és egyben vezérfonala. A szerző először bemutatja a könyvvizsgálat és a kockázat kapcsolatának alapvonásait, azt, hogy miként jelenik meg egyáltalán a kockázat problémája a könyvvizsgálatban. Ezt követően a különféle kockázatalapú megközelítéseket tárgyalja, majd néhány főbb elem kiragadásával ábrázolja a kockázatkoncepció beágyazódását a szakmai szabályozásba. Végül – mintegy az elmélet tesztjeként – bemutatja a kockázatmodell gyakorlati alkalmazásának néhány aspektusát. ______ The study examines the role of risk and the assessment of risks in the external audit of financial statements. A modern audit – due to its internal and external limitations – cannot exist without the assessment of the business risk of the entity being audited. This is not a l’art pour l’art activity but rather the very core of the audit. It is – as part of the planning of the audit – a guideline to the whole auditing process. This study has three main sections. The first one explains the connection between audit and risk, the second discusses the different risk based approaches to auditing and the embeddedness of the risk concept into professional regulation. Finally – as a test of theory – some practical aspects of the risk model are discussed through the lens of former empirical research carried out mostly in the US. The conclusion of the study is that though risk based models of auditing have many weaknesses they still result in the most effective and efficient high quality audits.

Comparative Assessment of Climate Change Scenarios Based on Aquatic Food Web Modeling

In the years 2004 and 2005, we collected samples of phytoplankton, zooplankton, and macroinvertebrates in an artificial small pond in Budapest (Hungary). We set up a simulation model predicting the abundances of the cyclopoids, Eudiaptomus zachariasi, and Ischnura pumilio by considering only temperature and the abundance of population of the previous day. Phytoplankton abundance was simulated by considering not only temperature but the abundances of the three mentioned groups. When we ran the model with the data series of internationally accepted climate change scenarios, the different outcomes were discussed. Comparative assessment of the alternative climate change scenarios was also carried out with statistical methods.

The role of longevity risk in Hungary

In this paper, I analyze the role of longevity risk in Hungary in the public pension system and the life annuity segment of the life insurance market, which are two primary financial sectors of relevance to this special type of actuarial risk, using state-of-the- art econometric methodology. To this end, I present an overview and the mathematical background of several important current mortality forecasting techniques from the Lee–Carter model up to unifying paradigm of the Age–Period–Cohort family of models. After presenting the findings of a case study on the public pension system based on the paper of Bajk ́o, Maknics, T ́oth and V ́ekas, I conclude that longevity risk jeopardizes the sustainability of the Hungarian public pension system in the long run. In another case study, I present an analysis of the role of longevity risk in the pre- mium of private pension annuities, a relevant topic due to recent changes in a law on Hungarian voluntary pension funds, following an earlier analysis of M ́ajer and Kov ́acs. Based on the criterion on out-of-sample forecasting accuracy, I find that the Cairns–Blake– Dowd mortality forecasting model aimed specifically at modeling old-age mortality outperforms the Lee–Carter model applied by M ́ajer and Kov ́acs . Based on numerical results, I finally conclude that the role of longevity risk in the Hungarian life annuity mar- ket has increased significantly in the past decade and is likely to further increase in the future.