Generalized parameter functions for option pricing

We extend the benchmark nonlinear deterministic volatility regression functions of Dumas et al. (1998) to provide a semi-parametric method where an enhancement of the implied parameter values is used in the parametric option pricing models. Besides volatility, skewness and kurtosis of the asset return distribution can also be enhanced. Empirical results, using closing prices of the S&P 500 index call options (in one day ahead out-of-sample pricing tests), strongly support our method that compares favorably with a model that admits stochastic volatility and random jumps. Moreover, it is found to be superior in various robustness tests. Our semi-parametric approach is an effective remedy to the curse of dimensionality presented in nonparametric estimation and its main advantage is that it delivers theoretically consistent option prices and hedging parameters. The economic significance of the approach is tested in terms of hedging, where the evaluation and estimation loss functions are aligned.     

Contingent Claims on Foreign Assets Following Jump-Diffusion Processes

In this paper we price contingent claims on several foreign assetsthat follow jump-diffusion processes. Discontinuities (jumps) arise dueto the assets' movement in the respective countries, or the exchangerates, or both. We assume the existence of multiple classes (sources)of jumps. Each jump can affect one or more state-variables and is definedby its intensity of arrival and by the joint probability distributionof its magnitude. The existence of jumps gives rise to significant deviationsfrom the joint lognormality assumptions of the multivariate geometricBrownian motion, and affords more flexibility in capturing the empiricallyobserved asymmetry and fat tails in asset returns. Analytic solutionsare provided for the European option on the best of several assets withoutor with exchange rate (quanto-type) protection. A Markov-chainnumerical method that can also handle American claims is given and itsaccuracy is demonstrated. Neglecting the effect of jumps causes seriousmisspricing and leads to erroneous decision-making when purchasing orexercising such options.     

Hysteresis Models of Investment with Multiple Uncertainties and Exchange Rate Risk

In this article we use the hysteresis model of investment developed by Brennan and Schwartz, and Dixit, and we extend it to capture the impact of interacting uncertainties on a firm with foreign operations. We develop a three-country, four-factor model where both continuous revenues and continuous costs are stochastic and are generated in countries other than the home country of the investor, who has to carry foreign currencies' risk. All four state-variables follow geometric Brownian motion processes. A critical assumption is made that the capital outlays for switching between the idle and the active states are constant fractions of the costs. An efficient numerical solution is used to demonstrate applications of the model on a multinational corporation facing operating and exchange rate risks in a multistage investment setting with interacting investment and operating options.     

The impact of the Financial Institutions Reform, Recovery, and Enforcement Act (FIRREA) on the value of S&L stocks

This study examines the effects of the Financial Reform, Recovery, and Enforcement Act of 1989 on the stock returns to shareholders of publicly traded savings and loans (S&Ls). Abnormal returns to stockholders are measured in response to each new piece of information concerning the passage of the Act. Using weekly data to have the largest possible sample, we found two significant time periods: a) the initial announcement of the Act and b) the time of passage and signing of the Act into law. We also provide evidence that stock return behavior differed between large and small S&Ls.     

Multi-currency options and financial institutions' hedging: Correlation does matter

This paper examines one element of financial institutions doing business internationally: currency exchange risks. Such risks present significant barriers to profitably and competitively expand financial service markets. This paper compares the cost of alternative options hedging schemes in the presence of multi-currency uncertainties that affect the repayment of financial institutions' portfolios of loans (assets) and debt. Schemes that use separate contracts to hedge each uncertainty are compared to schemes with a single contract to capture all uncertainties simultaneously. The impact of correlation between the different currencies on such hedging policies is investigated. It is found that correlation matters and can significantly affect the cost and the contract choice.The authors greatly appreciate comments from participants at the International Atlantic Economic Conference in Boston, MA, October 8–11, 1998 and the Office of Thrift Supervision research seminar.     

Assessing the performance of symmetric and asymmetric implied volatility functions

This study examines several alternative symmetric and asymmetric model specifications of regression-based deterministic volatility models to identify the one that best characterizes the implied volatility functions of S&P 500 Index options in the period 1996–2009. We find that estimating the models with nonlinear least squares, instead of ordinary least squares, always results in lower pricing errors in both in- and out-of-sample comparisons. In-sample, asymmetric models of the moneyness ratio estimated separately on calls and puts provide the overall best performance. However, separating calls from puts violates the put-call-parity and leads to severe model mis-specification problems. Out-of-sample, symmetric models that use the logarithmic transformation of the strike price are the overall best ones. The lowest out-of-sample pricing errors are observed when implied volatility models are estimated consistently to the put-call-parity using the joint data set of out-of-the-money options. The out-of-sample pricing performance of the overall best model is shown to be resilient to extreme market conditions and compares quite favorably with continuous-time option pricing models that admit stochastic volatility and random jump risk factors.     

Multi-stage product development with exploration,value-enhancing,preemptive and innovation options

We provide a real options framework for the analysis of product development that incorporates research and exploration actions, product attribute value-enhancing actions with uncertain outcome, as well as preemption and innovation options. We derive two-stage analytic formulas and propose a general multi-period solution using a numerical lattice approach. Our analysis reveals that exploration actions are more important when the project is out or at-the-money (near zero NPV) and less important for high project values. In a multi-stage setting, exploration actions are important even for in-the-money projects, when follow-on actions exist that can enhance the expected value of the project. With path-dependency, early actions are more valuable since they enhance the impact or reduce the cost of subsequent actions. Preemptive controls affecting rare event (jump) frequency and innovations that introduce positive jumps are more valuable for firms with higher frequency of competitive threats involving low volatility.     

Investment options with debt-financing constraints

A contingent claims model is used to study the impact of debt-financing constraints on firm value, optimal capital structure, the timing of investment and other variables, such as credit spreads. The optimal investment trigger follows a U shape as a function of exogenously imposed constraint. Risky, equity-financed R&D growth options increase firm value by increasing the option value on unlevered assets, while their impact on the net benefits of debt is small.     

THE SURVIVAL ZONE FOR A BOND WITH BOTH CALL AND PUT OPTIONS EMBEDDED

We present a numerical method to price bonds that have multiple embedded options with an emphasis on the case with both long call and short put options. The valuation framework is a one-factor model for the term structure of interest rates, where the instantaneous interest rate is allowed to follow a fairly general stochastic process. The equilibrium interest rates that define the free boundaries for the embedded call and put options are given. We demonstrate the survival zone within which a bond with both long call and short put options remains afloat. We show that even moderate levels of transaction costs can have a significant effect on exercise of options.     

Estimating corporate bankruptcy forecasting models by maximizing discriminatory power

Review of Quantitative Finance and Accounting - In this paper, we estimate coefficients of bankruptcy forecasting models, such as logistic and neural network models, by maximizing their...