A general closed form option pricing formula

A new method to retrieve the risk-neutral probability measure from observed option prices is developed and a closed form pricing formula for European options is obtained by employing a modified Gram–Charlier series expansion, known as the Gauss–Hermite expansion. This expansion converges for fat-tailed distributions commonly encountered in the study of financial returns. The expansion coefficients can be calibrated from observed option prices and can also be computed, for example, in models with the probability density function or the characteristic function known in closed form. We investigate the properties of the new option pricing model by calibrating it to both real-world and simulated option prices and find that the resulting implied volatility curves provide an accurate approximation for a wide range of strike prices. Based on an extensive empirical study, we conclude that the new approximation method outperforms other methods both in-sample and out-of-sample.

     

Theories of the (state-owned) firm

State-owned enterprises (SOEs) contribute approximately 10% of the world’s GDP. SOEs at one time were predicted to disappear from the economic landscape of the world, but today SOEs are growing more prevalent in the world economy. The current theories of the firm that form the pillars of the management discipline largely ignore the theoretical differences that SOEs introduce into the conceptualization of the firm. Therefore, we extend four core theories of the firm by incorporating SOEs as a mainstream (not special or marginal) organizational form into these theories. We focus specifically on property rights theory, transaction cost theory, agency theory, and resource-based theory, culminating in a research agenda with 12 testable propositions.     

A Unifying Framework for Marginalised Random‐Intercept Models of Correlated Binary Outcomes

We demonstrate that many current approaches for marginal modelling of correlated binary outcomes produce likelihoods that are equivalent to the copula‐based models herein. These general copula models of underlying latent threshold random variables yield likelihood‐based models for marginal fixed effects estimation and interpretation in the analysis of correlated binary data with exchangeable correlation structures. Moreover, we propose a nomenclature and set of model relationships that substantially elucidates the complex area of marginalised random‐intercept models for binary data. A diverse collection of didactic mathematical and numerical examples are given to illustrate concepts. Copyright © 2013 John Wiley & Sons, Ltd.     

Quantifying the recapitalization fund premium using option pricing techniques

The purpose of the paper consists in developing a formula for quantifying the premium a bank is expected to pay for a fund that provides recapitalization in order to allow orderly failure if the bank is in financial distress. The main finding is that such a premium can be computed as the difference between the prices of two European put options.     

The local bifurcation of Ramsey equilibrium

Summary The elasticity of substitution has been proposed as one factor in the generation of aggregate fluctuations in dynamic models with incomplete markets. We study the existence of periodic solutions in a one-sector neoclassical capital accumulation model under borrowing constraints with infinitely-lived heterogeneous agents. A dynamical system representing an equilibrium profile with only the most patient agent holding capital is analyzed when capital income is not an increasing function of total capital. Conditions for the linear approximation system at a steady state to have an eigenvalue of — 1 are found. A one-parameter family of maps based on a perturbation of the production function is introduced and the dynamical system is reduced to 1 dimension via an application of a center manifold theorem. Conditions for a stable flip bifurcation are shown to hold at the steady state.This paper is dedicated to Professor Nicolas Spulber, one of the great pioneers in the study of growth theory. He brought us together and encouraged our joint work on Ramsey equilibrium theory.We thank Nicolas Spulber for his usual insightful comments and we thank Michele Boldrin for a useful discussion. We also thank a referee for suggesting improvements in the paper as well as the seminar participants at the University of Rochester and Cornell University for their comments on the paper.     

Fair e-lottery system proposal based on anonymous signatures

The games in which large amount of money is involved are always called into question about the existence of the possibility to manipulate the game for an immediate benefit. Lottery system is not an exception in this regard; moreover, it is a subject of rumours that the game is not as fair as it is pretended to be. After studying the advantages and drawbacks of conventional lottery systems, the authors are proposing an e-lottery system based on anonymous signatures. Even though the proposal is using electronic signatures, which imply complex calculus and the possession of digital certificates for each player, the proposed system compensates these drawbacks by increasing trust and confidence of both the players and the lottery organizer. This will lead to more players participating in the lottery, which translates to more revenue for the lottery and larger prizes for the players.     

Slack and the performance of state-owned enterprises

Organizational slack has been recognized as critical to firm performance, although its impact is not always positive. Slack may be used to fuel innovation or alternatively excess resources may be squandered on pet projects. However, most research on slack is rooted in studying private firms in developed economies, especially the United States. Whether prior research on organizational slack can readily inform our understanding of state-owned enterprises’ (SOEs) behavior is questionable since SOEs prioritize goals such as social welfare and full employment differently than do the privately owned enterprises (POEs). The differences between SOEs and POEs influence their sources and use of slack due to the nature of their ownership, budget constraints, and agency relations. To bring insight to this issue we develop an institutional change lifecycle model to study the relationship between slack and the economic and social aspects of SOE performance.