The paper extends Merton’s Probability of Default(PD)model to the case for transaction costs or market friction for estimation of the PDs of listed banking corporations.A closed form formula for the PD model is obtai...The paper extends Merton’s Probability of Default(PD)model to the case for transaction costs or market friction for estimation of the PDs of listed banking corporations.A closed form formula for the PD model is obtained and validated using financial data drawn from banks listed on the Zimbabwe Stock Exchange(ZSE).It has been observed that most corporations in emerging economies have been finding it extremely difficult to list,continue listed or manage risk emanating from credit exposures undertaken.In the absence of risk the role of the financial sector of an economy to efficiently and effectively allocate resources between the public and private sectors would be simplified,economically and rationally determined.Reliable or precise computation of the Probability of Default(PD)of a borrower is one of the most critical tasks in credit risk management for commercial banks that were applying the Internal Rating Based Approach(IRBA)under the Basel Capital Accords Ⅱ and Ⅲ frameworks.The study sought to develop a Probability of Default(PD)model that banking corporations in emerging economies such as Zimbabwe could adopt and implement in the Multiple Currency System(MCS)in their desire to grow and develop through their lending businesses.The research study adopted a PD model similar to the Asset Valuation Model(AVM)by Merton(1974)and initially extended by Black-Scholes(1973)and Crouhy et al.(2000)and applied it on a basket of Zimbabwe Stock Exchange listed counters after having adjusted the model for the transaction cost variable.The study therefore succeeded in coming up with a PD model that was worth adopting and implementing by Zimbabwe Stock Exchange(ZSE)listed corporations in their desire to grow towards sustainable development.It was realised that a contemporary PD model adjusted for transaction cost is pertinent for reflection of practical conditions banks face in estimation of their risk metrics such as PD.Transaction costs faced by banks in emerging economies are very huge that they cannot be assumed to be insignificant when it comes to valuation of PDs of banking corporations.The inclusion of transaction costs in estimation of PDs of ZSE listed banks is likely to create a paradigm shift in financial theory on risk metrics in the modern world.The study ends by recommending the need for all Zimbabwean listed corporations to adopt and implement an AVM adjusted for transaction costs if they were to successfully measure and manage both their investment and credit exposure endeavours in the multiple currency system period.展开更多
In this research,an econometric with panel data using Ordinary least squares OLS model is constructed following the guidelines recommended by the EBA stress test methodology for 2016.The findings indicate that macroec...In this research,an econometric with panel data using Ordinary least squares OLS model is constructed following the guidelines recommended by the EBA stress test methodology for 2016.The findings indicate that macroeconomic factors affecting defaults are the expected ones in the Spanish credit institutions.However,loan impairments do not follow the patterns that a priori would be normal.Divergent is outcomes in defaults and impairments:the Non-Performing Loans(NPL)is pro-cyclical and impairment losses are counter-cyclical.展开更多
The objective of this paper is to measure the risk charge for credit risk as one of the components in the risk based capital of the capital adequacy framework. Currently, the risk charge for credit risk is measured by...The objective of this paper is to measure the risk charge for credit risk as one of the components in the risk based capital of the capital adequacy framework. Currently, the risk charge for credit risk is measured by referring it to the credit rating of a company. Following the subprime crisis in 2007, the markets start to question the soundness of the credit rating issued as it has resulted in an inadequate risk charge. Therefore, this study attempts to determine the risk charge for credit risk using the probability of default （PD） for life insurers in Malaysia. The credit risk has been categorized into several types of debt obligations. Whereby, the KMV-Merton model has been used to measure the distance to default and estimate the probability of default. The estimation of default probability is based on the movement in the price index of several debt obligations. The price index of debt obligations from year 2004 to 2009 is collected inclusive of the subprime crisis period during the crisis period. Therefore, Malaysia insurance industry is The results found that the risk charges are lower not affected by the subprime crisis in 2007.展开更多
The global financial crisis （GFC） has placed the creditworthiness of banks under intense scrutiny. In particular, capital adequacy has been called into question. Current capital requirements make no allowance for ca...The global financial crisis （GFC） has placed the creditworthiness of banks under intense scrutiny. In particular, capital adequacy has been called into question. Current capital requirements make no allowance for capital erosion caused by movements in the market value of assets. This paper examines default probabilities of Swiss banks under extreme conditions using structural modeling techniques. Conditional Value at Risk （CVaR） and Conditional Probability of Default （CPD） techniques are used to measure capital erosion. Significant increase in Probability of Default （PD） is found during the GFC period. The market asset value based approach indicates a much higher PD than external ratings indicate. Capital adequacy recommendations are formulated which distinguish between real and nominal capital based on asset fluctuations.展开更多
Equilibrium pricing of credit default swaps(CDS)promotes efficient identification of credit risk in the market,which in turn leads to efficient allocation of resources.However,even when CDS have been priced in equilib...Equilibrium pricing of credit default swaps(CDS)promotes efficient identification of credit risk in the market,which in turn leads to efficient allocation of resources.However,even when CDS have been priced in equilibrium,i.e.,when premiums are equal to anticipated payments,the moral hazard incentives of CDS buyers increase with CDS transactions.Consequentially,it becomes an interesting research direction to study the impact of moral hazard incentives on the trading mechanism or pricing of derivatives(CDS).Most of the existing literature on the impact of moral hazard incentives in CDS pricing on derivatives trading mechanisms takes a macro perspective and focuses on the agreement risk effect.The literature exploring the analysis of the impact of moral hazard on the probability of agreement default from a micro perspective is not yet available.With this in mind,this paper focuses on the mechanisms by which“fraud”,an extreme manifestation of micro-moral hazard incentives,affects the probability of default.This paper introduces for the first time the concept of“claiming fraud”by credit protection buyers,which is different from the macro perspective of moral hazard incentives,and thus defines a specific extreme form of moral hazard incentives.Meanwhile,to address the intrinsic feature of the lack of economic explanatory power of the reduce-form model,this paper introduces a moral hazard incentive factor into the reduce-form model,and proposes a moral hazard state variable as a function of the asset value of the reference entity,which gives the reduce-form model strong economic explanatory power,and the default predictability is reduced by the description of the reduce-form model.In terms of the object of study,this paper considers the issue of moral hazard incentives in the presence of claiming fraud in two reference entities to further explore the impact of moral hazard incentives on default protection at the micro level in terms of cyclic default.Finally,based on the analysis of the results of the numerical simulation experiments,it is proposed that increasing the number of reference assets for CDS buyers will help to reduce the moral hazard incentives of the buyer,and thus the anticipated payments to the buyer,i.e.,we attempt to endogenize the credit risk of an asset by allowing the asset holder to choose the probability of the asset going up or down,which helps to understand the phenomenon of moral hazard incentives in CDS trading.展开更多
The probability of default(PD) is the key element in the New Basel Capital Accord and the most essential factor to financial institutions' risk management.To obtain good PD estimation,practitioners and academics h...The probability of default(PD) is the key element in the New Basel Capital Accord and the most essential factor to financial institutions' risk management.To obtain good PD estimation,practitioners and academics have put forward numerous default prediction models.However,how to use multiple models to enhance overall performance on default prediction remains untouched.In this paper,a parametric and non-parametric combination model is proposed.Firstly,binary logistic regression model(BLRM),support vector machine(SVM),and decision tree(DT) are used respectively to establish models with relatively stable and high performance.Secondly,in order to make further improvement to the overall performance,a combination model using the method of multiple discriminant analysis(MDA) is constructed.In this way,the coverage rate of the combination model is greatly improved,and the risk of miscarriage is effectively reduced.Lastly,the results of the combination model are analyzed by using the K-means clustering,and the clustering distribution is consistent with a normal distribution.The results show that the combination model based on parametric and non-parametric can effectively enhance the overall performance on default prediction.展开更多
文摘The paper extends Merton’s Probability of Default(PD)model to the case for transaction costs or market friction for estimation of the PDs of listed banking corporations.A closed form formula for the PD model is obtained and validated using financial data drawn from banks listed on the Zimbabwe Stock Exchange(ZSE).It has been observed that most corporations in emerging economies have been finding it extremely difficult to list,continue listed or manage risk emanating from credit exposures undertaken.In the absence of risk the role of the financial sector of an economy to efficiently and effectively allocate resources between the public and private sectors would be simplified,economically and rationally determined.Reliable or precise computation of the Probability of Default(PD)of a borrower is one of the most critical tasks in credit risk management for commercial banks that were applying the Internal Rating Based Approach(IRBA)under the Basel Capital Accords Ⅱ and Ⅲ frameworks.The study sought to develop a Probability of Default(PD)model that banking corporations in emerging economies such as Zimbabwe could adopt and implement in the Multiple Currency System(MCS)in their desire to grow and develop through their lending businesses.The research study adopted a PD model similar to the Asset Valuation Model(AVM)by Merton(1974)and initially extended by Black-Scholes(1973)and Crouhy et al.(2000)and applied it on a basket of Zimbabwe Stock Exchange listed counters after having adjusted the model for the transaction cost variable.The study therefore succeeded in coming up with a PD model that was worth adopting and implementing by Zimbabwe Stock Exchange(ZSE)listed corporations in their desire to grow towards sustainable development.It was realised that a contemporary PD model adjusted for transaction cost is pertinent for reflection of practical conditions banks face in estimation of their risk metrics such as PD.Transaction costs faced by banks in emerging economies are very huge that they cannot be assumed to be insignificant when it comes to valuation of PDs of banking corporations.The inclusion of transaction costs in estimation of PDs of ZSE listed banks is likely to create a paradigm shift in financial theory on risk metrics in the modern world.The study ends by recommending the need for all Zimbabwean listed corporations to adopt and implement an AVM adjusted for transaction costs if they were to successfully measure and manage both their investment and credit exposure endeavours in the multiple currency system period.
文摘In this research,an econometric with panel data using Ordinary least squares OLS model is constructed following the guidelines recommended by the EBA stress test methodology for 2016.The findings indicate that macroeconomic factors affecting defaults are the expected ones in the Spanish credit institutions.However,loan impairments do not follow the patterns that a priori would be normal.Divergent is outcomes in defaults and impairments:the Non-Performing Loans(NPL)is pro-cyclical and impairment losses are counter-cyclical.
文摘The objective of this paper is to measure the risk charge for credit risk as one of the components in the risk based capital of the capital adequacy framework. Currently, the risk charge for credit risk is measured by referring it to the credit rating of a company. Following the subprime crisis in 2007, the markets start to question the soundness of the credit rating issued as it has resulted in an inadequate risk charge. Therefore, this study attempts to determine the risk charge for credit risk using the probability of default （PD） for life insurers in Malaysia. The credit risk has been categorized into several types of debt obligations. Whereby, the KMV-Merton model has been used to measure the distance to default and estimate the probability of default. The estimation of default probability is based on the movement in the price index of several debt obligations. The price index of debt obligations from year 2004 to 2009 is collected inclusive of the subprime crisis period during the crisis period. Therefore, Malaysia insurance industry is The results found that the risk charges are lower not affected by the subprime crisis in 2007.
文摘The global financial crisis （GFC） has placed the creditworthiness of banks under intense scrutiny. In particular, capital adequacy has been called into question. Current capital requirements make no allowance for capital erosion caused by movements in the market value of assets. This paper examines default probabilities of Swiss banks under extreme conditions using structural modeling techniques. Conditional Value at Risk （CVaR） and Conditional Probability of Default （CPD） techniques are used to measure capital erosion. Significant increase in Probability of Default （PD） is found during the GFC period. The market asset value based approach indicates a much higher PD than external ratings indicate. Capital adequacy recommendations are formulated which distinguish between real and nominal capital based on asset fluctuations.
文摘Equilibrium pricing of credit default swaps(CDS)promotes efficient identification of credit risk in the market,which in turn leads to efficient allocation of resources.However,even when CDS have been priced in equilibrium,i.e.,when premiums are equal to anticipated payments,the moral hazard incentives of CDS buyers increase with CDS transactions.Consequentially,it becomes an interesting research direction to study the impact of moral hazard incentives on the trading mechanism or pricing of derivatives(CDS).Most of the existing literature on the impact of moral hazard incentives in CDS pricing on derivatives trading mechanisms takes a macro perspective and focuses on the agreement risk effect.The literature exploring the analysis of the impact of moral hazard on the probability of agreement default from a micro perspective is not yet available.With this in mind,this paper focuses on the mechanisms by which“fraud”,an extreme manifestation of micro-moral hazard incentives,affects the probability of default.This paper introduces for the first time the concept of“claiming fraud”by credit protection buyers,which is different from the macro perspective of moral hazard incentives,and thus defines a specific extreme form of moral hazard incentives.Meanwhile,to address the intrinsic feature of the lack of economic explanatory power of the reduce-form model,this paper introduces a moral hazard incentive factor into the reduce-form model,and proposes a moral hazard state variable as a function of the asset value of the reference entity,which gives the reduce-form model strong economic explanatory power,and the default predictability is reduced by the description of the reduce-form model.In terms of the object of study,this paper considers the issue of moral hazard incentives in the presence of claiming fraud in two reference entities to further explore the impact of moral hazard incentives on default protection at the micro level in terms of cyclic default.Finally,based on the analysis of the results of the numerical simulation experiments,it is proposed that increasing the number of reference assets for CDS buyers will help to reduce the moral hazard incentives of the buyer,and thus the anticipated payments to the buyer,i.e.,we attempt to endogenize the credit risk of an asset by allowing the asset holder to choose the probability of the asset going up or down,which helps to understand the phenomenon of moral hazard incentives in CDS trading.
基金supported by the National Natural Science Foundation of China Key Project under Grant No.70933003the National Natural Science Foundation of China under Grant Nos.70871109 and 71203247
文摘The probability of default(PD) is the key element in the New Basel Capital Accord and the most essential factor to financial institutions' risk management.To obtain good PD estimation,practitioners and academics have put forward numerous default prediction models.However,how to use multiple models to enhance overall performance on default prediction remains untouched.In this paper,a parametric and non-parametric combination model is proposed.Firstly,binary logistic regression model(BLRM),support vector machine(SVM),and decision tree(DT) are used respectively to establish models with relatively stable and high performance.Secondly,in order to make further improvement to the overall performance,a combination model using the method of multiple discriminant analysis(MDA) is constructed.In this way,the coverage rate of the combination model is greatly improved,and the risk of miscarriage is effectively reduced.Lastly,the results of the combination model are analyzed by using the K-means clustering,and the clustering distribution is consistent with a normal distribution.The results show that the combination model based on parametric and non-parametric can effectively enhance the overall performance on default prediction.
