Pricing Options On Leveraged Equity With Default Risk And Exponentially Increasing Finite Maturity Debt

We extend a modular pricing framework proposed by Ericsson and Reneby (1998, 2000, 2001) to derive a valuation formula for calls on leveraged equity, similar to Toft and Prucyk (1997). In contrast to their derivation via partial differential equations, we choose a more elegant probabilistic approach using change of numeraire techniques. Considerably extending previous firm value based option pricing models, our framework features exponentially increasing, finite maturity coupon debt, along with taxes and deviations from absolute priority. It enables us to study effects of debt maturity and debt growth on prices of equity options. Numerical results provide new insights into possible causes for pricing biases of the Black-Scholes formula.

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.

Little progress has been made so far in addressing—in a comprehensive way—the externalities caused by impact of the interconnectedness within institutions and markets on funding and market liquidity risk within financial systems. The Systemic Risk-adjusted Liquidity (SRL) model combines option pricing with market information and balance sheet data to generate a probabilistic measure of the frequency and severity of multiple entities experiencing a joint liquidity event. It links a firm’s maturity mismatch between assets and liabilities impacting the stability of its funding with those characteristics of other firms, subject to individual changes in risk profiles and common changes in market conditions. This approach can then be used (i) to quantify an individual institution’s time-varying contribution to system-wide liquidity shortfalls and (ii) to price liquidity risk within a macroprudential framework that, if used to motivate a capital charge or insurance premia, provides incentives for liquidity managers to internalize the systemic risk of their decisions. The model can also accommodate a stress testing approach for institution-specific and/or general funding shocks that generate estimates of systemic liquidity risk (and associated charges) under adverse scenarios.

A comprehensive introduction to the statistical and econometric methods for analyzing high-frequency financial data High-frequency trading is an algorithm-based computerized trading practice that allows firms to trade stocks in milliseconds. Over the last fifteen years, the use of statistical and econometric methods for analyzing high-frequency financial data has grown exponentially. This growth has been driven by the increasing availability of such data, the technological advancements that make high-frequency trading strategies possible, and the need of practitioners to analyze these data. This comprehensive book introduces readers to these emerging methods and tools of analysis. Yacine Aït-Sahalia and Jean Jacod cover the mathematical foundations of stochastic processes, describe the primary characteristics of high-frequency financial data, and present the asymptotic concepts that their analysis relies on. Aït-Sahalia and Jacod also deal with estimation of the volatility portion of the model, including methods that are robust to market microstructure noise, and address estimation and testing questions involving the jump part of the model. As they demonstrate, the practical importance and relevance of jumps in financial data are universally recognized, but only recently have econometric methods become available to rigorously analyze jump processes. Aït-Sahalia and Jacod approach high-frequency econometrics with a distinct focus on the financial side of matters while maintaining technical rigor, which makes this book invaluable to researchers and practitioners alike.

CM became a popular borrowing instrument during the bullish housing market of the early 2000s but vanished rapidly during the subsequent downturn. These non-traditional loans (interest only, negative amortization, and teaser mortgages) enable households to postpone loan repayment compared to traditional mortgages and hence relax borrowing constraints. But, they increase household leverage and heighten dependence on mortgage refinancing. CM were chosen by prime borrowers with high income levels seeking to purchase expensive houses relative to their incomes. Borrowers with CM experience substantially higher ex post default rates than borrowers with traditional mortgages with similar characteristics. Illus. This is a print on demand report.

The revised and updated 7th edition of this highly regarded book brings the reader right up to speed with the latest financial market developments, and provides a clear and incisive guide to a complex world that even those who work in it often find hard to understand. In chapters on the markets that deal with money, foreign exchange, equities, bonds, commodities, financial futures, options and other derivatives, the book examines why these markets exist, how they work, and who trades in them, and gives a run-down of the factors that affect prices and rates. Business history is littered with disasters that occurred because people involved their firms with financial instruments they didn't properly understand. If they had had this book they might have avoided their mistakes. For anyone wishing to understand financial markets, there is no better guide.