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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
71

Multiagentní síťové modely finanční stability / Multi-agent Network Models of Financial Stability

Klinger, Tomáš January 2016 (has links)
The thesis focuses on banking regulation and on the nexus between financial sovereign crises. After illustrating the main mechanisms on the recent financial crisis, we construct several multi-agent network models of a financial system for testing its stability under different parameters. In the first part, we focus on the rationale for banking regulation and we describe its development including the recently introduced Basel III measures. The main conclusion of this part is that regulation is to a large extent influenced by the banks and it does not always secure financial system stability. In the second part, we build an agent-based model which enables us to simulate the impacts of various types of negative shocks given various settings of the banking system and the regulatory environment, including the capital and liquidity measures. Our simulations show firstly that sufficient capital buffers are crucial for systemic stability, secondly that the discretionary measures have little effect once a crisis breaks out and thirdly that liquidity measures are a relevant regulatory tool. In the third part, the model is extended so that it allows for testing effects of state support on systemic stability is tested with various parameter settings in Monte Carlo simulations and for testing of feedback loops in which...
72

Die gebruik van verhoudingsgetalle om kapitaaltoereikendheid van bankinstellings te ontleed

Brink, Arend 01 1900 (has links)
Text in Afrikkans / Summaries in English and Afrikaans / The capital-adequacy problem is essentially concerned with the amount of capital that a bank should maintain in order to conduct its operations in a prudent manner. Because one of the primary functions of bank capital is to act as a risk cushion for the protection of a bank's depositors, a bank's capital funds are often regarded as comprising an insurance element. The capital-adequacy concept, therefore, may be seen as part of the overall banking risk, or prudential management. An attempt has been made to indicate that bank supervisors should use not only capital ratios when analysing a bank's capital position. Other factors, such as asset quality and other financial risks, should also be taken in consideration. Financial ratio analysis, however, provides bank supervisors with useful information. When combining ratio analysis with non-quantifiable factors, bank supervisors may indeed achieve their goal of determining capital adequacy. / Die kapitaaltoereikendheidsprobleem is hoofsaaklik gebaseer op die hoeveelheid kapitaal waaroor 'n bankinstelling moet beskik, ten einde die bankbesigheid op 'n verstandige wyse te bedryf. Een van die primere funksies van kapitaal is om te dien as verliesabsorberingsbuffer ter beskerming van 'n bankinstelling se deposante, en daarom word toereikende kapitaal dikwels geag om 'n soort versekeringselement te bevat. Die konsep van kapitaaltoereikendheid kan dus beskou word as deel van die totale risikobestuurskonsep. Daar is tydens die studie gepoog om aan te dui dat banktoesighouers nie net kapitaalverhoudings behoort te gebruik om 'n bankinstelling se kapitaalposisie te ontleed nie. Ander faktore, soos batekwaliteit en antler finansiele risiko's, moet ook in ag geneem word. Finansiele verhoudingsgetalontledings voorsien banktoesighouers van waardevolle inligting. Indien verhoudingsgetalle egter met nie-gekwantifiseerde inligting gekombineer sou word, kan banktoesighouers hul doel om kapitaaltoereikendheid te bepaal, bereik. / M.Com. (Business Management)
73

Avaliação da maturidade implícita de passivos sem vencimento: uma abordagem empírica para depósitos de poupança

Salvador, Julio Cesar Moreira 30 January 2013 (has links)
Submitted by JULIO SALVADOR (jcmsal@gmail.com) on 2013-02-28T05:12:24Z No. of bitstreams: 1 Dissertacao - Julio Salvador.pdf: 1362084 bytes, checksum: fbfc1ce4624c12d00ca89e9f7a442abf (MD5) / Approved for entry into archive by Suzinei Teles Garcia Garcia (suzinei.garcia@fgv.br) on 2013-02-28T12:48:44Z (GMT) No. of bitstreams: 1 Dissertacao - Julio Salvador.pdf: 1362084 bytes, checksum: fbfc1ce4624c12d00ca89e9f7a442abf (MD5) / Made available in DSpace on 2013-02-28T12:56:50Z (GMT). No. of bitstreams: 1 Dissertacao - Julio Salvador.pdf: 1362084 bytes, checksum: fbfc1ce4624c12d00ca89e9f7a442abf (MD5) Previous issue date: 2013-01-30 / Non-maturing liabilities make up a large part of the funding base of financial institutions. These liabilities, such as checking and savings accounts, while allowing their depositors to withdraw the full amount of their investments at any time, the balance remain in the financial institutions for long period of time. The lack of defined contractual maturity makes the risk management a difficult task. This study analyzes the implied maturity of savings deposits through a replicating portfolio model. As a result, it’s presented structures for allocating cash flows to manage market and liquidity risk of savings deposits. / Os depósitos sem vencimento formam grande parte da base de captação das instituições financeiras. Esses passivos, depósitos à vista ou de poupança, embora permitam que seus titulares saquem a qualquer momento o montante integral de suas aplicações, permanecem nas instituições financeiras por longos períodos de tempo. A falta de maturidade contratual definida torna o gerenciamento de riscos desses produtos uma difícil tarefa. Este estudo busca analisar as maturidades implícitas dos depósitos de poupança através de um modelo de carteira replicante. Como resultado, são apresentadas estruturas para alocação de fluxos de caixa para gestão de risco de mercado e liquidez dos depósitos de poupança.
74

Défaillances des marchés financiers et interventions publiques / Financial markets failures and government interventions

Davanne, Olivier 14 September 2015 (has links)
Les articles constitutifs de cette thèse analysent les défaillances des marchés financiers traditionnellement identifiées par les économistes (associées aux externalités, aux asymétries d'information et à l'incomplétude des marchés) et les réponses des pouvoirs publics. Une observation centrale est que les interventions publiques ne résultent presque jamais d'une analyse à froid de ces défaillances de marché, mais se décident dans l'urgence pour répondre aux dysfonctionnements les plus évidents observés lors d'une crise. Cette approche pragmatique et a-théorique conduit à des interventions mal calibrées. Ces articles s'attaquent notamment à la politique du prêteur en dernier ressort qui encourage l'endettement à court terme des institutions financières, et nourrit le risque systémique. Ils soulignent également les risques de certaines réformes décidées à la suite de la crise des « subprime ». Les pouvoirs publics devraient se concentrer sur la fourniture des biens publics clairement identifiés par l'analyse économique (contrôle des « agents » et information), et ne pas multiplier les interventions hasardeuses qui créent parfois plus d'imperfections de marché qu'elles ne prétendent en résoudre. / The constituent articles of this dissertation analyze the financial market failures traditionally identified by economists (associated with externalities, information asymmetries and incompleteness of markets) and the policy responses. A central observation is that public interventions have almost never resulted from a cold analysis of these market failures but are decided in a hurry to respond to the most obvious shortcomings observed during a crisis. This pragmatic and a-theoretical approach leads to poorly calibrated interventions. These articles are addressing in particular the lender of last resort policy that encourages the issuance of various short-term debts by financial institutions and feeds systemic risk. They also highlight the risks of certain reforms decided after the "subprime" crisis. Governments should focus on the provision of public goods clearly identified by economic analysis (control of "agents" and information), and should not multiply risky interventions that sometimes create more market imperfections than they claim to solve.
75

Interest Rate and Liquidity Risk Management for Lebanese Commercial Banks / Gestion des risques des taux d'intérêt et de liquidité dans le secteur bancaire libanais

Daccache, Rudy 26 June 2014 (has links)
L'objectif de cette thèse est de fournir à la Banque Audi des outils économétriques et appliqués pour une gestion des risques plus efficace et plus robuste. Les banques libanaises sont aujourd'hui confrontées à des défis plus importants que jamais: l'avenir de la région Moyen-Orient repose sur les conséquences de la guerre civile syrienne. Dans ce contexte, la gestion des taux d'intérêt et de la liquidité s'avère de plus en plus compliqué pour les banques commerciales. En premier lieu, le risque de taux d'intérêt sur le marché libanais sera étudié. Ce marché est connu pour son manque de liquidité et le problème de calibrage des modèles de taux est difficile. Afin de résoudre ce problème, nous utilisons les prix historiques des obligations émises par le gouvernement libanais et libellées en monnaie locale et en dollars américains. Nous considérons des modèles de Nelson-Siegel et Svensson et contraignons le niveau corrélation des facteurs pour stabiliser l'estimation des paramètres de ces modèles. La méthode conduit à des résultats qui s'interprètent très facilement d'un point de vue économique et peuvent être utilisés pour la prévision des variations de la courbe des taux en se basant une analyse ´économique prospective. En second lieu, la problématique des dépôts des clients traditionnels sera étudiée. Ces derniers sont reconnus comme étant la source principale de financement des banques commerciales libanaises (80-85% du passif). Bien qu'ils soient contractuellement des dépôts à court terme (principalement un mois) versant des taux d'intérêt fixes, ces dépôts sont assimilés à une source de financement stable possédant un comportement proche des taux d'intérêt du marché. Nous développons un modèle à correction d'erreur représentant un équilibre à long terme entre le Libor et le taux moyen du secteur bancaire libanais offert sur les dépôts en dollars américains. Les résultats permettent de déterminer une date de réévaluation des dépôts clientèles en cas de fluctuation des taux d'intérêt. Une nouvelle duration du passif tenant compte des comportements des clients a été mise en place. Elle sera par construction plus élevée que la duration contractuelle. En cas de hausse des taux d'intérêt, une baisse de l'écart entre la duration des actifs et des passifs sera alors observée menant à la diminution de l'impact négatif de la hausse. Après avoir étudié le profil de risque des taux des dépôts clientèles, nous commençons la deuxième partie de la thèse par la détermination de l'échéancier des retraits. Nous segmentons les données historiques des données sur les dépôts clientèles selon: la monnaie, le type de dépôt et la résidence du déposant. Pour chaque filtre, un modèle `a correction d'erreur est développé. Les résultats montrent la relation entre les dépôts clientèles, un indicateur relatif du niveau économique et les écarts entre les taux offerts sur le marché libanais. Ainsi, le modèle permettra d'évaluer le comportement des retraits des dépôts clientèles et de comprendre leur profil de risque de liquidité. Les grandes institutions financières détiennent des positions importantes en actifs financiers. La dernière partie de la thèse discute de la gestion du risque de liquidité de marché en cas de session forcée de ces actifs. Nous supposons qu'un investisseur détient une position importante d'un actif donné, à t = 0, un choc sévère provoque une forte dépréciation de la valeur de l'actif et par conséquent, force l'investisseur à opter pour la liquidation du portefeuille dès que possible en limitant ses pertes. Les rendements des actions sont modélisés par des processus de type GARCH qui sont adaptés pour décrire des comportements extrêmes suite à une grande variation de l'actif au temps initial. Suivant que le marché est liquide ou illiquide, nous proposons une stratégie optimale à l'investisseur qui maximise sa fonction d'utilité. Enfin, nous intégrons dans le modèle un avis d'expert pour optimiser la prise d'une décision / The aim of this thesis is to provide Bank Audi with econometric tools for sake of a more robust risk management. Lebanese businesses today are faced with greater challenges than ever before, both economical and political, and there is a question about the future of the middle east region after the Syrian civil war. Thus, Lebanese commercial banks face greater complications in the management of interest rate and liquidity risk. The first part of this thesis discusses interest rate risk management and measurement in the Lebanese market. First, we seek to build the Lebanese term structure. This market is known by its illiquidity, yields for a given maturity make a large jump with a small impact on other yields even if close to this maturity. Therefore, we face challenges in calibrating existing yield curve models. For this matter, we get historical prices of bonds issued by the Lebanese government, and denominated in Local currency and in US dollar. A new estimation method has been added to Nelson Siegel and Svensson model, we call it “Correlation Constraint Approach”. Model parameters can be interpreted from economical perspective which will be helpful in forecasting yield curve movements based on economist’s opinion. On the second hand, traditional customer deposits are the main funding source of Lebanese commercial banks (80-85% of liabilities). Although they are contractually short term (mainly one month) paying fixed interest rates, these deposits are historically known to be a stable source of funding and therefore exhibit a sticky behavior to changes in market interest rates. We develop an error correction model showing a long-run equilibrium between Libor and Lebanese banking sector average rate offered on USD deposits. Results make it possible to determine the behavioral duration (repricing date) of customer deposits when market interest rates fluctuate. Therefore, the behavioral duration of liabilities will be higher than the contractual one which will lower the duration gap between assets and liabilities and thus the negative impact of positive interest rate shocks. After understanding interest risk profile of customers’ deposits, we start the second part by determining their behavioral liquidation maturity. We get Bank Audi’s historical deposits outstanding balances filtered into the following categories: currency, account typology and residency of depositor. We develop an error correction model for each filter. Results show relationship between deposits behaviors, the coincident indicator and spreads between offered rates in the Lebanese market. The model will lead to assess behavioral liquidation maturity to deposits and understand their liquidity risk profile. This will be helpful for the funding liquidity risk management at Bank Audi. Large financial institutions are supposed to hold large positions of given assets. The last topic is related to market liquidity risk management. We suppose an investor holds a large position of a given asset. Then at time 0, a severe shock causes a large depreciation of the asset value and makes the investor decides to liquidate the portfolio as soon as possible with limited losses. Stock returns are modeled by GARCH process which has tail behaviors after large variation at time 0. Trading on liquid and illiquid markets, we provide the trader with best exit trading strategy maximizing his utility function, finally we incorporate into the model an expert opinion which will help the investor in taking the decision
76

Efecto de la capitalización y tamaño de las instituciones financieras sobre el riesgo de liquidez en Perú para los años 2013-2019 / The effect of capitalization and size of financial institutions on liquidity risk in Peru for the years 2013-2019

Ramos López, Alexis Juan de Dios 21 November 2020 (has links)
El presente trabajo investiga el efecto presente del tamaño y la capitalización de las instituciones financieras sobre el riesgo de liquidez medido de dos maneras: el ratio LTD, créditos/depósitos, y el que brinda la SBS, activos líquidos/pasivos de corto plazo, se toma en cuenta 34 instituciones financieras con datos de frecuencia mensual para los años 2013-2019 en Perú. Para propósito de la investigación se utiliza una regresión panel de efectos fijos para capturar el efecto conjunto, posteriormente se desagrega la muestra por tipo de institución financiera para evaluar el impacto desagregado de las variables por especialización bancaria. Los resultados muestran que ambas variables tienen un efecto directo (LTD) e inverso (RL) con el riesgo de liquidez, sin embargo, en cuanto a la capitalización el efecto no es el esperado, incluso cuando se desagrega por la especialización bancaria. El trabajo está dividido en 6 secciones: (1) introducción, (2) marco teórico donde se aborda al sistema financiero y el análisis de los estudios previos, (3) los objetivos e hipótesis de la investigación, (4) la presentación y análisis de los datos, (5) los resultados, la metodología empleada y el análisis con los estudios previos, y por último (6) las conclusiones del presente trabajo. / This paper investigates the present effect of the size and capitalization of financial institutions on liquidity risk measured in two ways: the LTD ratio (loans / deposits), and the one provided by the SBS (liquid assets / short-term liabilities). 34 institutions are taken into account with monthly frequency data for the years 2013-2019 in Peru. For the purpose of the research, a fixed effects panel regression is used to capture the joint effect, then the sample is disaggregated by type of financial institution to evaluate the disaggregated impact of the variables by banking specialization. The results show that both variables have a direct (LTD) and inverse (RL) effect with liquidity risk, however, regarding capitalization, the effect is not as expected, even when broken down by bank specialization. The paper is divided into 6 sections: (1) introduction, (2) theoretical framework, where the financial system and the analysis of previous studies are addressed, (3) the objectives and hypotheses of the research, (4) the presentation and analysis of the data, (5) the results, the methodology used and the analysis with the previous studies, and finally (6) the conclusions of the present paper. / Trabajo de investigación
77

BASEL III GLOBAL LIQUIDITY RISK REGULATION FOR BANKING SYSTEMS AND THE ECB QUANTITATIVE POLICY

HLEBIK, SVIATLANA 27 May 2016 (has links)
Questa tesi analizza un tema fondamentale e nello stesso tempo controverso: il rischio di liquidità che, dopo la crisi del 2007-2008, sta diventato sempre più importante. Le banche centrali forniscono la liquidità necessaria per ridurre la probabilità di un collasso del sistema finanziario, utilizzando una vasta gamma di strumenti. La tesi in oggetto propone un’analisi della politica quantitativa della Banca Centrale Europea: un’analisi in cui sono state considerate le condizioni di mercato e la loro coerenza con la domanda di liquidità da parte del sistema bancario. Il quadro normativo internazionale Basilea III ha introdotto nuove regole per la gestione del rischio di liquidità. Questo lavoro presenta una serie di azioni che possono essere applicate per migliorare le capacità di gestione del rischio di liquidità della banca stessa. Applicando al processo decisionale il metodo della simulazione, è stata utilizzata un'analisi di sensitività per determinare l'impatto delle decisioni manageriali sull’indice di liquidità. Questa tesi mette in evidenza l'importanza del rischio di liquidità e presenta l'analisi empirica che ha permesso l'indagine della relazione che intercorre tra il nuovo requisito introdotto dal Basilea in materia di liquidità (NSFR) e la stabilità del sistema bancario, i fattori macroeconomici e dei mercati finanziari, e le operazioni della banca centrale. / This thesis focuses on a crucial and controversial issue - liquidity risk. After the 2007-2008 crisis it became increasingly important. The Central Banks provide required liquidity to minimise the probability of a financial system meltdown by using a wide array of instruments. This thesis proposes an analyses of the European Central Bank quantitative policy, market conditions in which these measures have been taken, and their consistency with the demand for liquidity by the banking system. The Basel III international regulatory framework introduced new liquidity regulations for managing liquidity risk. This study introduces a number of actions that can be performed to improve a bank’s liquidity risk management capabilities. By applying the simulation-based approach to decision making, a sensitivity analysis was used to determine the impact of managerial rulings on liquidity ratio. The present work highlights the importance of the liquidity risk and presents the empirical analysis that allowed the exploration of the relationship between the Basel’s new liquidity requirement (NSFR) and banking stability, macroeconomic and financial markets factors, and central bank operations.
78

The subprime mortgage crisis : asset securitization and interbank lending / M.P. Mulaudzi

Mulaudzi, Mmboniseni Phanuel January 2009 (has links)
Subprime residential mortgage loan securitization and its associated risks have been a major topic of discussion since the onset of the subprime mortgage crisis (SMC) in 2007. In this regard, the thesis addresses the issues of subprime residential mortgage loan (RML) securitization in discrete-, continuous-and discontinuous-time and their connections with the SMC. In this regard, the main issues to be addressed are discussed in Chapters 2, 3 and 4. In Chapter 2, we investigate the risk allocation choices of an investing bank (IB) that has to decide between risky securitized subprime RMLs and riskless Treasuries. This issue is discussed in a discrete-time framework with IB being considered to be regret- and risk-averse before and during the SMC, respectively. We conclude that if IB takes regret into account it will be exposed to higher risk when the difference between the expected returns on securitized subprime RMLs and Treasuries is small. However, there is low risk exposure when this difference is high. Furthermore, we assess how regret can influence IB's view - as a swap protection buyer - of the rate of return on credit default swaps (CDSs), as measured by the premium based on default swap spreads. We find that before the SMC, regret increases IB's willingness to pay lower premiums for CDSs when its securitized RML portfolio is considered to be safe. On the other hand, both risk- and regret-averse IBs pay the same CDS premium when their securitized RML portfolio is considered to be risky. Chapter 3 solves a stochastic optimal credit default insurance problem in continuous-time that has the cash outflow rate for satisfying depositor obligations, the investment in securitized loans and credit default insurance as controls. As far as the latter is concerned, we compute the credit default swap premium and accrued premium by considering the credit rating of the securitized mortgage loans. In Chapter 4, we consider a problem of IB investment in subprime residential mortgage-backed securities (RMBSs) and Treasuries in discontinuous-time. In order to accomplish this, we develop a Levy process-based model of jump diffusion-type for IB's investment in subprime RMBSs and Treasuries. This model incorporates subprime RMBS losses which can be associated with credit risk. Furthermore, we use variance to measure such risk, and assume that the risk is bounded by a certain constraint. We are now able to set-up a mean-variance optimization problem for IB's investment which determines the optimal proportion of funds that needs to be invested in subprime RMBSs and Treasuries subject to credit risk measured by the variance of IE's investment. In the sequel, we also consider a mean swaps-at-risk (SaR) optimization problem for IB's investment which determines the optimal portfolio which consists of subprime RMBSs and Treasuries subject to the protection by CDSs required against the possible losses. In this regard, we define SaR as indicative to IB on how much protection from swap protection seller it must have in order to cover the losses that might occur from credit events. Moreover, SaR is expressed in terms of Value-at-Risk (VaR). Finally, Chapter 5 provides an analysis of discrete-, continuous- and discontinuous-time models for subprime RML securitization discussed in the aforementioned chapters and their connections with the SMC. The work presented in this thesis is based on 7 peer-reviewed international journal articles (see [25], [44], [45], [46], [47], [48] and [55]), 4 peer-reviewed chapters in books (see [42], [50j, [51J and [52]) and 2 peer-reviewed conference proceedings papers (see [11] and [12]). Moreover, the article [49] is currently being prepared for submission to an lSI accredited journal. / Thesis (Ph.D. (Applied Mathematics))--North-West University, Potchefstroom Campus, 2010.
79

Stochastic optimization of subprime residential mortgage loan funding and its risks / by B. de Waal

De Waal, Bernadine January 2010 (has links)
The subprime mortgage crisis (SMC) is an ongoing housing and nancial crisis that was triggered by a marked increase in mortgage delinquencies and foreclosures in the U.S. It has had major adverse consequences for banks and nancial markets around the globe since it became apparent in 2007. In our research, we examine an originator's (OR's) nonlinear stochastic optimal control problem related to choices regarding deposit inflow rates and marketable securities allocation. Here, the primary aim is to minimize liquidity risk, more speci cally, funding and credit crunch risk. In this regard, we consider two reference processes, namely, the deposit reference process and the residential mortgage loan (RML) reference process. This enables us to specify optimal deposit inflows as well as optimal marketable securities allocation by using actuarial cost methods to establish an ideal level of subprime RML extension. In our research, relationships are established in order to construct a stochastic continuous-time banking model to determine a solution for this optimal control problem which is driven by geometric Brownian motion. In this regard, the main issues to be addressed in this dissertation are discussed in Chapters 2 and 3. In Chapter 2, we investigate uncertain banking behavior. In this regard, we consider continuous-time stochastic models for OR's assets, liabilities, capital, balance sheet as well as its reference processes and give a description of their dynamics for each stochastic model as well as the dynamics of OR's stylized balance sheet. In this chapter, we consider RML and deposit reference processes which will serve as leading indicators in order to establish a desirable level of subprime RMLs to be extended at the end of the risk horizon. Chapter 3 states the main results that pertain to the role of stochastic optimal control in OR's risk management in Theorem 2.5.1 and Corollary 2.5.2. Prior to the stochastic control problem, we discuss an OR's risk factors, the stochastic dynamics of marketable securities as well as the RML nancing spread method regarding an OR. Optimal portfolio choices are made regarding deposit and marketable securities inflow rates given by Theorem 3.4.1 in order to obtain the ideal RML extension level. We construct the stochastic continuoustime model to determine a solution for this optimal control problem to obtain the optimal marketable securities allocation and deposit inflow rate to ensure OR's stability and security. According to this, a spread method of RML financing is imposed with an existence condition given by Lemma 3.3.2. A numerical example is given in Section 3.5 to illustrates the main issues raised in our research. / Thesis (M.Sc. (Applied Mathematics))--North-West University, Potchefstroom Campus, 2011.
80

Stochastic optimization of subprime residential mortgage loan funding and its risks / by B. de Waal

De Waal, Bernadine January 2010 (has links)
The subprime mortgage crisis (SMC) is an ongoing housing and nancial crisis that was triggered by a marked increase in mortgage delinquencies and foreclosures in the U.S. It has had major adverse consequences for banks and nancial markets around the globe since it became apparent in 2007. In our research, we examine an originator's (OR's) nonlinear stochastic optimal control problem related to choices regarding deposit inflow rates and marketable securities allocation. Here, the primary aim is to minimize liquidity risk, more speci cally, funding and credit crunch risk. In this regard, we consider two reference processes, namely, the deposit reference process and the residential mortgage loan (RML) reference process. This enables us to specify optimal deposit inflows as well as optimal marketable securities allocation by using actuarial cost methods to establish an ideal level of subprime RML extension. In our research, relationships are established in order to construct a stochastic continuous-time banking model to determine a solution for this optimal control problem which is driven by geometric Brownian motion. In this regard, the main issues to be addressed in this dissertation are discussed in Chapters 2 and 3. In Chapter 2, we investigate uncertain banking behavior. In this regard, we consider continuous-time stochastic models for OR's assets, liabilities, capital, balance sheet as well as its reference processes and give a description of their dynamics for each stochastic model as well as the dynamics of OR's stylized balance sheet. In this chapter, we consider RML and deposit reference processes which will serve as leading indicators in order to establish a desirable level of subprime RMLs to be extended at the end of the risk horizon. Chapter 3 states the main results that pertain to the role of stochastic optimal control in OR's risk management in Theorem 2.5.1 and Corollary 2.5.2. Prior to the stochastic control problem, we discuss an OR's risk factors, the stochastic dynamics of marketable securities as well as the RML nancing spread method regarding an OR. Optimal portfolio choices are made regarding deposit and marketable securities inflow rates given by Theorem 3.4.1 in order to obtain the ideal RML extension level. We construct the stochastic continuoustime model to determine a solution for this optimal control problem to obtain the optimal marketable securities allocation and deposit inflow rate to ensure OR's stability and security. According to this, a spread method of RML financing is imposed with an existence condition given by Lemma 3.3.2. A numerical example is given in Section 3.5 to illustrates the main issues raised in our research. / Thesis (M.Sc. (Applied Mathematics))--North-West University, Potchefstroom Campus, 2011.

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