Stochastic approximation methods in stochastic optimization

Stochastic approximation methods for stochastic optimization are considered. Reviewed the main methods of stochastic approximation: stochastic quasi-gradient algorithm, Kiefer-Wolfowitz algorithm and adaptive rules for them, simultaneous perturbation stochastic approximation (SPSA) algorithm. Suggested the model and the solution of the retailer's profit optimization problem and considered an application of the SQG-algorithm for the optimization problems with objective functions given in the form of ordinary differential equation.

Reputational Risk Management as a key element for business continuity and value maximization

This thesis reveals the topic of reputational risk management as a key element for business continuity and value maximization. The purpose of the work is to investigate reputational risk from the side of its definition, management (including legal requirements on this risk category) and measurement and to analyse reputational risk’s impact on business continuity and value maximization. To be able to do this, different respective articles, reports of financial institutions are gathered and constructive summaries and analysis are made. In order to deeply investigate the impact of reputational risk on business continuity and value maximization, it was chosen to study it from three aspects: 1) check the impact of stock valuation of 7 companies that experienced reputational catastrophe / risk, 2) analyse a case study on disagreements in management of reputational risk among case companies and impact on their respective performance, and 3) conduct a survey of financial sector companies in Liechtenstein to see how reputational risk management works in practice. The findings of the research showed a significant impact of reputation decadence on company’s value and trading volume, and showed crucial importance of post-crisis management for the company’s financial performance. The results of the qualitative research based on survey proved that companies consider reputational risk management as a one of the key elements for their business continuity and value maximization.

Investointiprosessin arviointi ja kehittäminen: tuotannollisten hankkeiden kannattavuus

Työn päätavoitteena on tutkia investointiprosessin toimivuutta. Työssä selvitetään, mitä lisätietoja päätöksentekijät tarvitsevat investointien valinnassa. Työssä tarkastellaan investointien kannattavuuden arviointia, projektien valintaa ja valintaan vaikuttavia tekijöitä. Myös investoinnin toteutuksen jälkeistä tarkkailua tutkitaan. Työ on tehty kohdeyrityksen eri tehtaiden investointikäytäntöjen yhdistämisen avuksi. Työssä tarkastellaan yrityksennykyisiä käytäntöjä ohjeiden, haastattelujen ja tapaustutkimuksen kautta. Tutkimuksen tuloksena selvisi, että investointien arviointikäytäntöjä olisi kehitettävä. Vain suurilta investointiprojekteilta vaaditaan tarkat suunnitelmat ja laskelmat. Nykyisen takaisinmaksuajan menetelmän rinnalle tulisi ottaa käyttöön rahan aika-arvon huomioon ottava menetelmä, kuten sisäisen koron menetelmä. Riskienhallinnassa olisi vielä otettava huomioon kustannuksiin ja markkinoiden muutosherkkyyteen liittyvät riskit. Kun suunnittelu saadaan kuntoon, seuraavana tärkeänä kehittämiskohteena olisi investoinnin jälkeisen tarkkailun lisääminen investointiprosessiin.

Determining risk potential through accidents and near-accidents: an empirical study in a steel factory

Fatal and permanently disabling accidents form only one per I cent of all occupational accidents but in many branches of industry they account for more than half the accident costs. Furthermore the human suffering of the victim and his family is greater in severe accidents than in slight ones. For both human and economic reasons the severe accident risks should be identified befor injuries occur. It is for this purpose that different safety analysis methods have been developed . This study shows two new possible approaches to the problem.. The first is the hypothesis that it is possible to estimate the potential severity of accidents independent of the actual severity. The second is the hypothesis that when workers are also asked to report near accidents, they are particularly prone to report potentially severe near accidents on the basis of their own subjective risk assessment. A field study was carried out in a steel factory. The results supported both the hypotheses. The reliability and the validity of post incident estimates of an accident's potential severity were reasonable. About 10 % of accidents were estimated to be potentially critical; they could have led to death or very severe permanent disability. Reported near accidents were significantly more severe, about 60 $ of them were estimated to be critical. Furthermore the validity of workers subjective risk assessment, manifested in the near accident reports, proved to be reasonable. The studied new methods require further development and testing. They could be used both in routine usage in work places and in research for identifying and setting the priorities of accident risks.

Tarkastusten turvallinen ja taloudellinen optimointi kattilalaitoksessa

Vuoden 1999 muutos kansallisessa painelaitelainsäädännössä mahdollistaa perinteisten määräaikaistarkastusten korvaamisen aiempaa joustavimmilla tavoilla. Tarkastusresurssit voidaan uuden mallin mukaisesti kohdentaa laitteisiin olemassa olevan, todellisen riskin perusteella, joka osoitetaan asianmukaisin arviointimenettelyin. Nykyiset riskianalyysit ovat osoittautuneet tähän tarkoitukseen liian raskaiksi ja työläiksi. Tässä työssä on kehitetty nykyisten arviointimenetelmien pohjalta näitä kevyempi, riskiperusteinen analyysimalli, jota on testattu kattilalaitoksen riskikohteiden arvioinnissa. Arviointimenettely on rakennettu ensisijaisesti palvelemaan painelaitteiden kunnonvalvontajärjestelmään sisältyvien tarkastusten määrittelyä, mutta se soveltuu yhtälailla perinteisen tarkastustoiminnan rinnalle. Tällöin vältytään päällekkäisiltä tarkastuksilta ja voidaan hyödyntää lainsäädännön suomaa mahdollisuutta tarkastus-aikavälien pidentämiseen sekä säästetään kustannuksissa. Aiempaan nähden, kohteen potentiaaliset riskit voidaan esittää kehitetyllä riskianalyysimallilla yhteismitallisina, jolloin niiden keskinäinen vertailu ja päätöksenteko ovat helpompia.

Vikasietoisuuden tutkiminen todennäköisyysperusteisen riskianalyysin avulla

Tässä työssä on tarkasteltu uusien YVL-ohjeiden vikasietoisuusanalyysin vaatimuksia sekä kehitetty menetelmä, jolla vaatimusten toteutumista voidaan tarkastella todennäköisyysperusteisen riskianalyysin (PRA) avulla. Työssä on käsitelty riskianalyysin tärkeimmät osat, sekä sen tuloksena saatavia tärkeysmittoja ja näiden soveltamiskohteita. Tärkeysmittoja on käytetty myös kehitetyn menetelmän alkuarvoina. Ydinvoimalan turvallisuuden takaamiseksi tärkeimpiä turvallisuustoimintoja suorittavien järjestelmien on pystyttävä toteuttamaan tehtävänsä, vaikka mikä tahansa järjestelmän yksittäinen laite olisi toimintakyvytön ja vaikka mikä tahansa turvallisuustoimintoon vaikuttava laite olisi samanaikaisesti poissa käytöstä korjauksen tai huollon vuoksi. Tämä edellyttää, että vikasietoisuuden takaamiseksi tärkeimpien turvallisuustoimintojen varmistamisessa on käytettävä mahdollisuuksien mukaan moninkertaisuus- ja erilaisuusperiaatteisiin perustuvia järjestelmiä, joiden tulee olla toisistaan riippumattomia. Kehitetyn menetelmän ja uuden vikasietoisuuden lisäarvomitan avulla voidaan tunnistaa järjestelmien väliset riippuvuustekijät ja tarkastella vaadittujen turvallisuustekijöiden toteutumista.

Risk Parity: A Modern Tool for Diversification

The purpose of this study is to examine how well risk parity works in terms of risk, return and diversification relative to more traditional minimum variance, 1/N and 60/40 portfolios. Risk parity portfolios were constituted of five risk sources; three common asset classes and two alternative beta investment strategies. The three common asset classes were equities, bonds and commodities, and the alternative beta investment strategies were carry trade and trend following. Risk parity portfolios were constructed using five different risk measures of which four were tail risk measures. The risk measures were standard deviation, Value-at-Risk, Expected Shortfall, modified Value-at-Risk and modified Expected Shortfall. We studied also how sensitive risk parity is to the choice of risk measure. The hypothesis is that risk parity portfolios provide better return with the same amount of risk and are better diversified than the benchmark portfolios. We used two data sets, monthly and weekly data. The monthly data was from the years 1989-2011 and the weekly data was from the years 2000-2011. Empirical studies showed that risk parity portfolios provide better diversification since the diversification is made at the risk level. Risk based portfolios provided superior return compared to the asset based portfolios. Using tail risk measures in risk parity portfolios do not necessarily provide better hedge from tail events than standard deviation.

A performance analysis of conventional and fundamental exchange traded funds: ETFs and their risk-return characteristics in relation to building institutional investor’s passive portfolio

An exchange traded fund (ETF) is a financial instrument that tracks some predetermined index. Since their initial establishment in 1993, ETFs have grown in importance in the field of passive investing. The main reason for the growth of the ETF industry is that ETFs combine benefits of stock investing and mutual fund investing. Although ETFs resemble mutual funds in many ways, also many differences occur. In addition, ETFs not only differ from mutual funds but also differ among each other. ETFs can be divided into two categories, i.e. market capitalisation ETFs and fundamental (or strategic) ETFs, and further into subcategories depending on their fundament basis. ETFs are a useful tool for diversification especially for a long-term investor. Although the economic importance of ETFs has risen drastically during the past 25 years, the differences and risk-return characteristics of fundamental ETFs have yet been rather unstudied area. In effect, no previous research on market capitalisation and fundamental ETFs was found during the research process. For its part, this thesis seeks to fill this research gap. The studied data consist of 50 market capitalisation ETFs and 50 fundamental ETFs. The fundaments, on which the indices that the fundamental ETFs track, were not limited nor segregated into subsections. The two types of ETFs were studied at an aggregate level as two different research groups. The dataset ranges from June 2006 to December 2014 with 103 monthly observations. The data was gathered using Bloomberg Terminal. The analysis was conducted as an econometric performance analysis. In addition to other econometric measures, the methods that were used in the performance analysis included modified Value-at-Risk, modified Sharpe ratio and Treynor ratio. The results supported the hypothesis that passive market capitalisation ETFs outperform active fundamental ETFs in terms of risk-adjusted returns, though the difference is rather small. Nevertheless, when taking into account the higher overall trading costs of the fundamental ETFs, the underperformance gap widens. According to the research results, market capitalisation ETFs are a recommendable diversification instrument for a long-term investor. In addition to better risk-adjusted returns, passive ETFs are more transparent and the bases of their underlying indices are simpler than those of fundamental ETFs. ETFs are still a young financial innovation and hence data is scarcely available. On future research, it would be valuable to research the differences in risk-adjusted returns also between the subsections of fundamental ETFs.

Economic capital allocation

For my Licentiate thesis, I conducted research on risk measures. Continuing with this research, I now focus on capital allocation. In the proportional capital allocation principle, the choice of risk measure plays a very important part. In the chapters Introduction and Basic concepts, we introduce three definitions of economic capital, discuss the purpose of capital allocation, give different viewpoints of capital allocation and present an overview of relevant literature. Risk measures are defined and the concept of coherent risk measure is introduced. Examples of important risk measures are given, e. g., Value at Risk (VaR), Tail Value at Risk (TVaR). We also discuss the implications of dependence and review some important distributions. In the following chapter on Capital allocation we introduce different principles for allocating capital. We prefer to work with the proportional allocation method. In the following chapter, Capital allocation based on tails, we focus on insurance business lines with heavy-tailed loss distribution. To emphasize capital allocation based on tails, we define the following risk measures: Conditional Expectation, Upper Tail Covariance and Tail Covariance Premium Adjusted (TCPA). In the final chapter, called Illustrative case study, we simulate two sets of data with five insurance business lines using Normal copulas and Cauchy copulas. The proportional capital allocation is calculated using TCPA as risk measure. It is compared with the result when VaR is used as risk measure and with covariance capital allocation. In this thesis, it is emphasized that no single allocation principle is perfect for all purposes. When focusing on the tail of losses, the allocation based on TCPA is a good one, since TCPA in a sense includes features of TVaR and Tail covariance.

POLITICAL RISK IN FOREIGN DIRECT INVESTMENT IN THE RUSSIAN ELECTRIC POWER SECTOR

Russia approved ambitious reform plan for the electricity sector in 2001 including privatisation of the country’s huge thermal generation assets. So far the sector had suffered from power shortages, aging infrastructure, substantial electricity losses, and weak productivity and profitability numbers. There was obvious need for foreign investments and technologies. The reform was rather successful; the generation assets were privatised in auctions in 2007-2008 and three European energy companies, E.On, Enel and Fortum, invested in and obtained together over 10% of the Russian production assets. The novelty of these foreign investments serves unique object for the study. The political risk is involved in the FDI due to the industry’s social and economic importance. The research’s objective was to identify and analyse the political risk that foreign investors face in the Russian electricity sector. The research had qualitative study method and the empirical data was collected by interviewing. The research’s theoretical framework was based on the existing political risk theories and it focused to understand the Russian government in relation to the country’s stability and define both macro-level and micro-level sources of political risk for the foreign direct investments in the sector. The research concludes that the centralised and obscure political decision-making, economic constriction, high level of governmental control in economy and corruption form the country’s internal macro-level risk sources for the foreign investors in the sector. Additionally the retribution due to the companies’ home country actions, possible violent confrontations at the Russian borders and the currency instability are externally originated risk sources. In the electricity industry there is risk of tightened governmental control and increased regulation and taxation. Similarly the company-level risk sources link to the unreformed heating sector, bargaining with the authorities, diplomatic stress between host and home countries and to companies and government’s divergent perspective for the profit-making. The research stresses the foreign companies’ ability to cope with the characteristics of Russian political environment. In addition to frequent political and market risk assessment, the companies need to focus on currency protection against rouble’s rate fluctuation and actively build good company-citizenship in the country. Good relationship is needed with the Russian political authorities. The political risk identification and the research’s conclusive framework also enable political risk study assessments for other industries in Russia