VALUATION OF BARRIER OPTIONS VIA A GENERAL SELF‐DUALITY

Classical put–call symmetry relates the price of puts and calls under a suitable dual market transform. One well‐known application is the semistatic hedging of path‐dependent barrier options with European options. This, however, in its classical form requires the price process to observe rather stringent and unrealistic symmetry properties. In this paper, we develop a general self‐duality theorem to develop valuation schemes for barrier options in stochastic volatility models with correlation.     

Existence of a calibrated regime switching local volatility model

By Gyöngy's theorem, a local and stochastic volatility model is calibrated to the market prices of all European call options with positive maturities and strikes if its local volatility (LV) function is equal to the ratio of the Dupire LV function over the root conditional mean square of the stochastic volatility factor given the spot value. This leads to a stochastic differential equation (SDE) nonlinear in the sense of McKean. Particle methods based on a kernel approximation of the conditional expectation, as presented in Guyon and Henry‐Labordère [Risk Magazine, 25, 92–97], provide an efficient calibration procedure even if some calibration errors may appear when the range of the stochastic volatility factor is very large. But so far, no global existence result is available for the SDE nonlinear in the sense of McKean. When the stochastic volatility factor is a jump process taking finitely many values and with jump intensities depending on the spot level, we prove existence of a solution to the associated Fokker–Planck equation under the condition that the range of the squared stochastic volatility factor is not too large. We then deduce existence to the calibrated model by extending the results in Figalli [Journal of Functional Analysis, 254(1), 109–153].     

Quantiles of the Euler Scheme for Diffusion Processes and Financial Applications

In this paper we briefly present the results obtained in our paper ( Talay and Zheng 2002a ) on the convergence rate of the approximation of quantiles of the law of one component of  ( X_t )  , where  ( X_t )  is a diffusion process, when one uses a Monte Carlo method combined with the Euler discretization scheme. We consider the case where  ( X_t )  is uniformly hypoelliptic (in the sense of Condition (UH) below), or the inverse of the Malliavin covariance of the component under consideration satisfies the condition (M) below. We then show that Condition (M) seems widely satisfied in applied contexts. We particularly study financial applications: the computation of quantiles of models with stochastic volatility, the computation of the VaR of a portfolio, and the computation of a model risk measurement for the profit and loss of a misspecified hedging strategy.     

The asymptotic expansion of the regular discretization error of Itô integrals

We study an Edgeworth‐type refinement of the central limit theorem for the discretization error of Itô integrals. Toward this end, we introduce a new approach, based on the anticipating Itô formula. This alternative technique allows us to compute explicitly the terms of the corresponding expansion formula. Two applications to finance are given; the asymptotics of discrete hedging error under the Black–Scholes model and the difference between continuously and discretely monitored variance swap payoffs under stochastic volatility models.     

Monte Carlo Evaluation of Greeks for Multidimensional Barrier and Lookback Options

In this paper, we consider the problem of the numerical computation of Greeks for a multidimensional barrier and lookback style options: the payoff function depends in a rather general way on the minima and maxima of the coordinates of the d -dimensional underlying asset process. Using Malliavin calculus techniques, we derive additional weights that enable computation of the Greeks using Monte Carlo simulations. Numerical experiments confirm the efficiency of the method. This work is a multidimensional extension of previous results (see Gobet and Kohatsu-Higa 2001 ).     

Small‐time,large‐time,and asymptotics for the Rough Heston model

We characterize the behavior of the Rough Heston model introduced by Jaisson and Rosenbaum (2016, Ann. Appl. Probab., 26, 2860–2882) in the small‐time, large‐time, and (i.e., ) limits. We show that the short‐maturity smile scales in qualitatively the same way as a general rough stochastic volatility model , and the rate function is equal to the Fenchel–Legendre transform of a simple transformation of the solution to the same Volterra integral equation (VIE) that appears in El Euch and Rosenbaum (2019, Math. Financ., 29, 3–38), but with the drift and mean reversion terms removed. The solution to this VIE satisfies a space–time scaling property which means we only need to solve this equation for the moment values of and so the rate function can be efficiently computed using an Adams scheme or a power series, and we compute a power series in the log‐moneyness variable for the asymptotic implied volatility which yields tractable expressions for the implied vol skew and convexity which is useful for calibration purposes. We later derive a formal saddle point approximation for call options in the Forde and Zhang (2017) large deviations regime which goes to higher order than previous works for rough models. Our higher‐order expansion captures the effect of both drift terms, and at leading order is of qualitatively the same form as the higher‐order expansion for a general model which appears in Friz et al. (2018, Math. Financ., 28, 962–988). The limiting asymptotic smile in the large‐maturity regime is obtained via a stability analysis of the fixed points of the VIE, and is the same as for the standard Heston model in Forde and Jacquier (2011, Finance Stoch., 15, 755–780). Finally, using Lévy's convergence theorem, we show that the log stock price tends weakly to a nonsymmetric random variable as (i.e., ) whose moment generating function (MGF) is also the solution to the Rough Heston VIE with , and we show that tends weakly to a nonsymmetric random variable as , which leads to a nonflat nonsymmetric asymptotic smile in the Edgeworth regime, where the log‐moneyness as , and we compute this asymptotic smile numerically. We also show that the third moment of the log stock price tends to a finite constant as (in contrast to the Rough Bergomi model discussed in Forde et al. (2020, Preprint) where the skew flattens or blows up) and the process converges on pathspace to a random tempered distribution which has the same law as the hyper‐rough Heston model, discussed in Jusselin and Rosenbaum (2020, Math. Finance, 30, 1309–1336) and Abi Jaber (2019, Ann. Appl. Probab., 29, 3155–3200).     

The short‐time behavior of VIX‐implied volatilities in a multifactor stochastic volatility framework

We consider a modeling setup where the volatility index (VIX) dynamics are explicitly computable as a smooth transformation of a purely diffusive, multidimensional Markov process. The framework is general enough to embed many popular stochastic volatility models. We develop closed‐form expansions and sharp error bounds for VIX futures, options, and implied volatilities. In particular, we derive exact asymptotic results for VIX‐implied volatilities, and their sensitivities, in the joint limit of short time‐to‐maturity and small log‐moneyness. The expansions obtained are explicit based on elementary functions and they neatly uncover how the VIX skew depends on the specific choice of the volatility and the vol‐of‐vol processes. Our results are based on perturbation techniques applied to the infinitesimal generator of the underlying process. This methodology has previously been adopted to derive approximations of equity (SPX) options. However, the generalizations needed to cover the case of VIX options are by no means straightforward as the dynamics of the underlying VIX futures are not explicitly known. To illustrate the accuracy of our technique, we provide numerical implementations for a selection of model specifications.     

Oil volatility and the option value of waiting: An analysis of the G‐7

There has recently been considerable interest in the potential adverse effects associated with excessive uncertainty in energy futures markets. Theoretical models of investment under uncertainty predict that increased uncertainty will tend to induce firms to delay production and investment. These models are widely utilized in capital budgeting and production decisions, particularly in the energy sector. There is relatively little empirical evidence, however, on whether such channels have effects on industrial production. Using a sample of G7 countries we examine whether uncertainty about a prominent commodity—oil—affects the time series variation in industrial production. Our primary result is consistent with the predictions of real options theory—uncertainty about oil prices has had a negative and significant effect on manufacturing activity in Canada, France, UK, and US. © 2010 Wiley Periodicals, Inc. Jrl Fut Mark 31:679–702, 2011     

Error analysis of finite difference and Markov chain approximations for option pricing

Mijatovi? and Pistorius proposed an efficient Markov chain approximation method for pricing European and barrier options in general one‐dimensional Markovian models. However, sharp convergence rates of this method for realistic financial payoffs, which are nonsmooth, are rarely available. In this paper, we solve this problem for general one‐dimensional diffusion models, which play a fundamental role in financial applications. For such models, the Markov chain approximation method is equivalent to the method of lines using the central difference. Our analysis is based on the spectral representation of the exact solution and the approximate solution. By establishing the convergence rate for the eigenvalues and the eigenfunctions, we obtain sharp convergence rates for the transition density and the price of options with nonsmooth payoffs. In particular, we show that for call‐/put‐type payoffs, convergence is second order, while for digital‐type payoffs, convergence is generally only first order. Furthermore, we provide theoretical justification for two well‐known smoothing techniques that can restore second‐order convergence for digital‐type payoffs and explain oscillations observed in the convergence for options with nonsmooth payoffs. As an extension, we also establish sharp convergence rates for European options for a rich class of Markovian jump models constructed from diffusions via subordination. The theoretical estimates are confirmed using numerical examples.     

A meta‐analysis of the UTAUT model: Eleven years later

The unified theory of acceptance and use of technology (UTAUT) has been widely used to investigate factors influencing the adoption and use of information systems and technologies (IS/IT). However, studies using UTAUT are not conclusive in terms of statistical significance, direction, and magnitude. Through a meta‐analysis of empirical studies on UTAUT from 2003 to 2013, we determine how parsimonious, accurate, and robust UTAUT is at predicting acceptance and use of technology. A meta‐analysis of 74 publications reveals that performance expectancy, effort expectancy, and social influence explain IS/IT adoption, while behavioural intention is the most often measured dependent variable operationalized as a proxy for system use, supporting the strength of UTAUT as an explanatory model of IS/IT acceptance and use. Copyright © 2016 ASAC. Published by John Wiley & Sons, Ltd.     

The African Growth and Opportunity Act and growth in sub‐Saharan Africa: A local projection approach

The African Growth and Opportunity Act (AGOA) is intended to increase exports and economic growth in sub‐Saharan Africa by providing trade preferences to eligible countries. While previous research has generally found a positive relationship between AGOA and exports, no previous research has investigated the relationship between AGOA and economic growth. We explore the dynamic relationship between AGOA and economic growth in sub‐Saharan Africa by applying the local projection method (American Economic Review, 95, 2005 and 161) to estimate impulse responses. We find that a country's becoming eligible for AGOA preferences is associated with higher growth rates in the future, but that this effect may not be immediate, highlighting the importance of exploring the dynamic relationship between AGOA and growth.     

H‐1B and L‐1 visa‐sponsored guest workers in the USA: An analysis of the strategic impact of Indian and other firms

Organizational sponsors of guest workers to the United States claim foreign‐born workers enhance productivity and innovation. Drawing upon a unique dataset of all organizational sponsors of guest workers in the United States from 1993 to 2008, we find a 10% increase in guest worker sponsorship is associated with a 2.2–3.1% increase in patenting within firms. Furthermore, we examine how organizational industry and country of origin are associated with the effects of guest worker sponsorship on organization‐level measures of innovation and productivity. Despite an overall within‐firm positive association between sponsorship and patenting, higher percentages of a firm's workers on visas are associated with lower patenting, but higher labor productivity. Firm‐level industry and country of origin heterogeneity is significantly related to the relationship between guest work sponsorship and both patent‐related and nonpatent investment in innovation such as research and development (R&D) expenditures. Semiconductor firms and universities spend more on R&D in conjunction with guest worker sponsorship, while semiconductor companies and hardware companies patent less. We discuss theoretical and human resource implications, and offer suggestions for future research.     

Local integration and co‐evolution of internationalizing Chinese firms

This study investigates the integration of internationalizing Chinese firms into local host markets. We explore the market‐driven investment of a new wave of Chinese private and local state‐owned firms in Australia since 2012, which has replaced the initial large‐scale investment in resources by central state‐owned enterprises. Using an in‐depth analysis of nine Chinese firms operating in various sectors of the Australian market, we argue that market integration, adaptation, and bilateral institution‐building through co‐evolution and empowerment of local subsidiaries of Chinese multinational enterprises results in entrepreneurial autonomy and characterizes a new generation of Chinese investors. We propose that Chinese multinational subsidiaries have transferred domestic practices to the Australian market and have reconfigured domestic and host market resources to gain a competitive advantage in their original investment industry and new industries. Our study advances middle‐range theory building and provides a practical understanding of the strengths and weaknesses of Chinese investors, their potential to disrupt local markets, and their responsiveness to market‐oriented institutional guidance. The results of this study suggest that the bilateral institution‐building and resource reconfiguration capabilities of Chinese enterprises can be transferred to other developed and developing markets, including Belt and Road Initiative countries.     

A cross‐cultural and cross‐gender analysis of compulsive buying behaviour's core dimensions

This study seeks to address the disagreement in the literature about compulsive buying behaviour's (CBB) dimensional structure and tests for cross‐cultural and cross‐gender invariance in young British, Chinese, Czech and Spanish consumers using structural equation modelling. The results show that CBB has two compulsive dimensions: Compulsive Purchasing (CP) and Self‐control Impaired Spending (SIS). These dimensions are cross‐culturally invariant, although the influence of SIS on CBB is higher in more developed countries, particularly among females. The confirmation of the SIS dimension and the external validity of the CBB construct established through the cross‐cultural invariance in CBB dimensions indicate that screening tools should be revised accordingly. The SIS dimension has possibly been previously misinterpreted as impulsive and/or as spontaneous buying and may explain the higher incidence of CBB among female consumers.     

A two‐sector neo‐Kaleckian model of growth and distribution: Investment allocation and evolutionary dynamics

This paper focuses on the two‐sector neo‐Kaleckian model of growth and distribution that was developed by Dutt (1990) and challenged by Park (1995). We develop a variant of this model, focusing on the supply‐side to solve the overdetermination problem that was raised by Park. Finally, we introduce evolutionary dynamics to model the investment flows between the capital and consumer goods sectors. In this setup, the sectoral profit rates and the size of capital stocks wield an essential role upon the entrepreneur’s decision on which sector to invest in. This model is perfectly determined and it generates a stable evolutionary equilibrium over the long term.     

Value co‐creation between foreign firms and indigenous small‐ and medium‐sized enterprises (SMEs) in Kazakhstan's oil and gas industry: The role of information technology spillovers

Study related to the extractive sector still plays a limited role in the mainstream international business (IB) and management literature, with even less focus on ongoing liberalization and digitalization in the industry. This article was motivated by the question of how collaboration between foreign and indigenous oil and gas (O&G) companies can support small‐sized and medium‐sized indigenous technological development. The main contribution of this article is the development of a model that explains how different actors can cocreate value in the ecosystem of the O&G industry through digital technologies. A three‐stage qualitative–interpretive method based on interviews with industry experts was adopted to build three vignette case studies. This article proposes what companies and the government could do to increase the competitiveness of the local economy, diversify from O&G into high technological industries, and support industrial development through information and communication technologies (ICT).     

Exploring the relationships between innovation and internationalization of small and medium‐sized enterprises: A nonrecursive structural equation model

This article seeks to provide more insights on the two‐way link between internationalization and innovation by considering total, direct, and reciprocal effects using a nonrecursive structural model. Innovation is defined through product and process development, while internationalization is defined through inward and outward internationalization in both closer and farther markets. The results suggest that these two major sources of growth are linked by different sets of relations, from the investment in product and process innovation to outward internationalization in a closer market, or from inward and outward internationalization in farther markets to the investment in product innovation. Copyright © 2013 ASAC. Published by John Wiley & Sons, Ltd.     

Fast‐food addiction and anti‐consumption behaviour: The moderating role of consumer social responsibility

This study aims to understand the drivers of fast‐food addiction and the role of consumer social responsibility (CSR) on the relationship between fast‐food addiction and anti‐consumption. Due to growing health concerns, an increasing number of consumers have been avoiding the consumption of fast food. Based on a sample of 539 respondents, all pertaining to generation Y in Pakistan, this study tests a model including addiction and anti‐consumption behaviour. Empirical results provide strong evidence that individual and sociocultural factors together with advertising practices influence consumers’ fast‐food addiction. Results also reveal that CSR moderates the relationship between fast‐food addiction and anti‐consumption behaviour. Interestingly, the present study pioneers the discussion on how addiction can drive anti‐consumption. The findings can help public policy makers and managers to understand consumers’ anti‐consumption tendencies and help promote healthier consumption habits.     

Establishment mode choice by Chinese firms in Latin America: The role of host country‐specific experience and government official visits

This study addresses establishment mode decisions by emerging‐market multinational enterprises entering other emerging economies. More precisely, we examine the influence of prior host country experience and home government official visits on the choice between the acquisition of a local company and the creation of a new subsidiary from scratch. By analyzing 315 investments carried out by Chinese firms in Latin America, we obtain that they are more likely to enter through an acquisition when they have established prior subsidiaries in the host country. Moreover, recent Chinese government official visits contribute to mitigate the difficulties of an acquisition for those companies with less local experience.