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The author focuses on a method to price Collateralized Debt Obligations (CDO) tranches. The original method is developed by Castagna, Mercurio and Mosconi in 2012. The Thesis provides an extension of the original work by generalizing the Gaussian dependence in terms of Copula functions. In particular the model is rewritten for the specific case of the Clayton copula. The method is applied to price the tranches of a CDX. By comparing the tranches prices, it is possible to notice that the Clayton approach leads to smaller equity and mezzanine tranches. The senior and super senior tranches levels are higher when the dependence is modeled by a Clayton copula. Contents CDO: General Characteristics Credit Risk Modeling Copula Functions and Dependency Concepts Moment Matching Approximation Extensions to the Model Implementation Target Groups Researchers in the field of Finance Practitioners of Financial Institutions The Author Enrico Marcantoni obtained his Master Degree in Quantitative Finance at the University of Bologna (Italy) taking part in a Double Degree Program in collaboration with the Master in Quantitative Asset and Risk Management at the University of Applied Sciences (bfi) Vienna (Austria).
Asset-backed financing. --- Debt. --- Mortgage-backed securities -- United States. --- Management --- Commerce --- Business & Economics --- Management Theory --- Local Commerce --- Collateralized debt obligations --- Copulas (Mathematical statistics) --- Mathematical models. --- CDOs (Collateralized debt obligations) --- Business. --- Management science. --- Finance. --- Business and Management. --- Business and Management, general. --- Finance, general. --- Distribution (Probability theory) --- Credit derivatives --- Funding --- Funds --- Economics --- Currency question --- Trade --- Industrial management --- Quantitative business analysis --- Problem solving --- Operations research --- Statistical decision
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We study a dynamic economy where credit is limited by insufficient collateral and, as a result, investment and output are too low. In this environment, changes in investor sentiment or market expectations can give rise to credit bubbles, that is, expansions in credit that are backed not by expectations of future profits (i.e. fundamental collateral), but instead by expectations of future credit (i.e. bubbly collateral). During a credit bubble, there is more credit available for entrepreneurs: this is the crowding-in effect. But entrepreneurs must also use some of this credit to cancel past credit: this is the crowding-out effect. There is an "optimal" bubble size that trades off these two effects and maximizes long-run output and consumption. The “equilibrium” bubble size depends on investor sentiment, however, and it typically does not coincide with the “optimal” bubble size. This provides a new rationale for macroprudential policy. A lender of last resort can replicate the “optimal” bubble by taxing credit when the "equilibrium" bubble is too high, and subsidizing credit when the “equilibrium” bubble is too low. This leaning-against-the-wind policy maximizes output and consumption. Moreover, the same conditions that make this policy desirable guarantee that a lender of last resort has the resources to implement it.
Credit --- Collateralized debt obligations --- Business cycles --- CDOs (Collateralized debt obligations) --- Credit derivatives --- Borrowing --- Finance --- Money --- Loans --- Econometric models. --- Financial Risk Management --- Money and Monetary Policy --- Industries: Financial Services --- Production and Operations Management --- Current Account Adjustment --- Short-term Capital Movements --- International Lending and Debt Problems --- Financial Aspects of Economic Integration --- Open Economy Macroeconomics --- Economic Growth of Open Economies --- International Business Cycles --- Globalization: Finance --- International Financial Markets --- Banks --- Depository Institutions --- Micro Finance Institutions --- Mortgages --- Monetary Policy, Central Banking, and the Supply of Money and Credit: General --- Financial Institutions and Services: Government Policy and Regulation --- Macroeconomics: Production --- Monetary economics --- Economic & financial crises & disasters --- Macroeconomics --- Collateral --- Lender of last resort --- Productivity --- Financial institutions --- Financial crises --- Production --- Industrial productivity --- Banks and banking, Central --- Slovak Republic
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