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Author: Hua Chen Publisher: ISBN: Category : Contingency theory (Management) Languages : en Pages :
Book Description
This is a multi-essay dissertation designed to explore the contingent claim pricing theory with non-tradable underlying assets, with emphasis on its applications to insurance and risk management. In the first essay, I apply the real option pricing theory and dynamic programming methods to address problems in the area of operational risk management. Particularly, I develop a two-stage model to help firms determine optimal switching triggers in the event of an influenza epidemic. In the second essay, I examine mortality securitization in an incomplete market framework. I build a jump-diffusion process into the original Lee-Carter model and explore alternative model with transitory versus permanent jump effects. I discuss pricing difficulties of the Swiss Re mortality bond (2003) and use the Wang transform to account for correlations of the mortality index over time. In the third essay, I study the valuation of the non-recourse provision in reverse mortgages. I model the various risks embedded in the HECM program and apply the conditional Esscher transform to price the non-recourse provision. I further examine the premium structure of HECM loans and investigate whether insurance premiums are adequate to cover expected claims.
Author: Hua Chen Publisher: ISBN: Category : Contingency theory (Management) Languages : en Pages :
Book Description
This is a multi-essay dissertation designed to explore the contingent claim pricing theory with non-tradable underlying assets, with emphasis on its applications to insurance and risk management. In the first essay, I apply the real option pricing theory and dynamic programming methods to address problems in the area of operational risk management. Particularly, I develop a two-stage model to help firms determine optimal switching triggers in the event of an influenza epidemic. In the second essay, I examine mortality securitization in an incomplete market framework. I build a jump-diffusion process into the original Lee-Carter model and explore alternative model with transitory versus permanent jump effects. I discuss pricing difficulties of the Swiss Re mortality bond (2003) and use the Wang transform to account for correlations of the mortality index over time. In the third essay, I study the valuation of the non-recourse provision in reverse mortgages. I model the various risks embedded in the HECM program and apply the conditional Esscher transform to price the non-recourse provision. I further examine the premium structure of HECM loans and investigate whether insurance premiums are adequate to cover expected claims.
Author: Mr.Andreas A. Jobst Publisher: International Monetary Fund ISBN: 1475557531 Category : Business & Economics Languages : en Pages : 93
Book Description
The recent global financial crisis has forced a re-examination of risk transmission in the financial sector and how it affects financial stability. Current macroprudential policy and surveillance (MPS) efforts are aimed establishing a regulatory framework that helps mitigate the risk from systemic linkages with a view towards enhancing the resilience of the financial sector. This paper presents a forward-looking framework ("Systemic CCA") to measure systemic solvency risk based on market-implied expected losses of financial institutions with practical applications for the financial sector risk management and the system-wide capital assessment in top-down stress testing. The suggested approach uses advanced contingent claims analysis (CCA) to generate aggregate estimates of the joint default risk of multiple institutions as a conditional tail expectation using multivariate extreme value theory (EVT). In addition, the framework also helps quantify the individual contributions to systemic risk and contingent liabilities of the financial sector during times of stress.
Author: Nicholas H. Bingham Publisher: Springer Science & Business Media ISBN: 1447138562 Category : Mathematics Languages : en Pages : 447
Book Description
This second edition - completely up to date with new exercises - provides a comprehensive and self-contained treatment of the probabilistic theory behind the risk-neutral valuation principle and its application to the pricing and hedging of financial derivatives. On the probabilistic side, both discrete- and continuous-time stochastic processes are treated, with special emphasis on martingale theory, stochastic integration and change-of-measure techniques. Based on firm probabilistic foundations, general properties of discrete- and continuous-time financial market models are discussed.
Author: Dan Galai Publisher: World Scientific Publishing Company ISBN: 9789814730723 Category : Corporations Languages : en Pages : 2036
Book Description
Black and Scholes (1973) and Merton (1974) (hereafter referred to as BSM) introduced the contingent claim approach (CCA) to the valuation of corporate debt and equity. The BSM modeling framework is also named the 'structural' approach to risky debt valuation. The CCA approach considers all stakeholders of the corporation as holding contingent claims on the assets of the corporation. Each claim holder has different priorities, maturities and conditions for payouts. It is based on the principle that all the assets belong to all the liability holders.In the structural approach the arrival of the default event relies on economic arguments for why firms default as it is explicitly related to the dynamics of the economic value of the firm. A standard structural model of default timing assumes that a corporation defaults when its assets drop to a sufficiently low level relative to its liabilities.The BSM modeling framework gives the basic fundamental version of the structural model where default is assumed to occur when the net asset value of the firm at the maturity of the pure-discount debt becomes negative, i.e., market value of the assets of the firm falls below the market value of the firm's liabilities. In a regime of limited liability, the shareholders of the firm have the option to default on the firm's debt. Equity can be viewed as a European call option on the firm's assets with a strike price equal to the face value of the firm's debt. Actually, CCA can be used to value all the components of the firm's liabilities. Option pricing models are used to value stocks, bonds, and many other types of corporate claims.Different versions of the model correspond to different assumptions about the conditions when a firm defaults. Merton (1974) assumes that the firm only defaults at the maturity date of the firm's outstanding debt when the net asset value of the firm, in market value terms, is negative. Others introduce other conditions for default. Also, different authors introduce more complicated capital structure with different kinds of bonds (e.g. senior and junior), warrants, corporate taxes, ESOP, and more. Volume 1: Foundations of CCA and Equity ValuationVolume 1 presents the seminal papers of Black and Scholes (1973) and Merton (1973, 1974). This volume also includes papers that specifically price equity as a call option on the corporation. It introduces warrants, convertible bonds and taxation as contingent claims on the corporation. It highlights the strong relationship between the CCA and the Modigliani-Miller (M&M) Theorems, and the relation to the Capital Assets Pricing Model (CAPM). Volume 2: CCA Approach to Corporate Debt ValuationVolume 2 concentrates on corporate bond valuation by introducing various types of bonds with different covenants as well as introducing various conditions that trigger default. While empirical evidence indicates that the simple Merton's model underestimates the credit spreads, additional risk factors like jumps can be used to resolve it. Volume 3: Issues in Corporate Finance with CCA ApproachVolume 3 includes papers that look at issues in corporate finance that can be explained with the CCA approach. These issues include the effect of dividend policy on the valuation of debt and equity, the pricing of employee stock options and many other issues of corporate governance. Volume 4: CCA Approach to Banking and Financial IntermediationVolume 4 focuses on the application of the contingent claim approach to banks and other financial intermediaries. Regulation of the banking industry led to the creation of new financial securities (e.g., CoCos) and new types of stakeholders (e.g., deposit insurers).
Author: Manuel Ammann Publisher: Springer Science & Business Media ISBN: 3662064251 Category : Business & Economics Languages : en Pages : 259
Book Description
This book offers an advanced introduction to models of credit risk valuation, concentrating on firm-value and reduced-form approaches and their application. Also included are new models for valuing derivative securities with credit risk. The book provides detailed descriptions of the state-of-the-art martingale methods and advanced numerical implementations based on multivariate trees used to price derivative credit risk. Numerical examples illustrate the effects of credit risk on the prices of financial derivatives.
Author: Rudi Zagst Publisher: Springer Science & Business Media ISBN: 3662121069 Category : Business & Economics Languages : en Pages : 349
Book Description
This book combines a rigorous overview of the mathematics of financial markets with an insight into the practical application of these models to the risk and portfolio management of interest-rate derivatives. It can also serve as a valuable textbook on financial markets for graduate and PhD students in mathematics. Interesting and comprehensive case studies illustrate the theoretical concepts.
Author: Lionel Martellini Publisher: Wiley ISBN: 9780471495024 Category : Business & Economics Languages : en Pages : 0
Book Description
Dynamic methods for interest rate risk pricing and hedging. Fixed-Income Securities provides a survey of modern methods forpricing and hedging fixed-income securities in the presence ofinterest rate risk. Modern theory of finance provides a wealth ofnew approaches to the important question of interest rate riskmanagement, and this book brings them together, in a comprehensiveand thorough treatment of the subject. Structured in an accessible manner, the authors begin by focusingon pricing and hedging certain cash flows, before moving on toconsider pricing and hedging uncertain cash flows. In addition tothe theoretical explanation, the authors provide numerousreal-world examples and applications throughout. This is the first book I have seen to carefully cover such a wideset of topics in both theoretical and applied fixed-incomemodelling, ranging from the use of market information to obtainyield curves, to the pricing and hedging of bonds and fixed-incomederivatives, to the currently active topic of defaultableyield-curve modelling. It will be particularly useful topractitioners.Darrell Duffie, Stanford University This is the most comprehensive theoretical treatment of thesubject I ve ever seen. Mark Rubinstein, Haas School of Business,University of California An excellent review of interest rate models and of the pricing andhedging principles in the fixed-income area.Oldrich Alfons Vasicek,KMV Corporation
Author: Dilip B. Madan Publisher: ISBN: Category : Languages : en Pages : 40
Book Description
This article studies the valuation of average-rate contingent claims (both arithmetic and geometric), whose importance in corporate risk management is increasing rapidly. Arbitrage--free characterizations are provided for such option--like Asian claims. When the spot price is governed by a one-dimensional Markov diffusion, we examine analytically the response of the average-rate option claim to a change in (i) the underlying spot price; (ii) the average-to-date price dependence; (iii) the riskiness of the asset; (iv) the strike price; (v) the interest rate; and (vi) the dividend/convenience yield. Our analysis yields the distinctive outcome that the upper bound on the average-rate call option delta can depart significantly from the classic unity. Depending on the structure of the risk-neutral density, a lower average-rate option premium (relative to the traditional option) is also internally consistent. Marking a sharp contrast from convention, the average-rate call can be decreasing in the interest rate. In extending the above general characterizations to higher dimensional contexts, we offer tractable valuation formulas for (1) options on the average interest rate with stochastic volatility; (2) catastrophe insurance option contract; and (3) options on the average commodity futures price [with stochastic convenience yield and stochastic interest rate]. Each valuation formula is rich in its economic content and yet amenable to empirical implementation. This paper has developed a cohesive framework for the valuation of average-rate contingent securities.
Author: Hua Chen
Author: Hua Chen
Author: Mr.Andreas A. Jobst
Author: Anjan V. Thakor
Author: Nicholas H. Bingham
Author: R. Cesari
Author: Dan Galai
Author: Manuel Ammann
Author: Rudi Zagst
Author: Lionel Martellini
Author: Dilip B. Madan