Variance Optimal Hedging in the Black-Scholes Model for a given Number of Transactions

In the Black-Scholes option pricing paradigm it is assumed that the market-mak- er designs a continuous-time hedge. This is not realistic from a practical point of view. We introduce trading restrictions in the Black-Scholes model in the sense that hedging is only allowed a given number of times-only the number is fixed, the market-maker is free to choose the (stopping) times and hedge ratios. We identify the strategy which minimizes the variance of the tracking error for a given initial value of the portfolio. The minimal variance is shown to be the solution to a sequence of optimal stopping problems. Existence and uniqueness is proved. We design a lattice algorithm with complexity N3 (N being the number of lattice points) to solve the corresponding discrete problem in the Cox-Ross-Rubinstein setting. The convergence of the scheme relies on a viscosity solution argument. Numerical results and dynamic simulations are provided

Discrete Superstrategies

We study the minimal initial capital needed to super-replicate an European contingent claim in the Black-Scholes model in the following `real' context: the hedger of the option will only trade at stopping times (which he may freely choose as the hedge ratios). In case the number of trading dates is fixed, we show that this capital corresponds to the buy-and-hold strategy (for a Call option, or the corresponding strategy for any option with a continuous payoff). In case the number may depend on the path of the underlying, we show that if the Black-Scholes delta of the contingent claim is itself a finite-variation process (which excludes standard options in general), this initial capital is the Black-Scholes price of the option. In other cases, e.g. standard options, even for the Call option, the question remains open

Diabetic foot complications among Indigenous peoples in Canada: a scoping review through the PROGRESS-PLUS equity lens

IntroductionIndigenous peoples in Canada face a disproportionate burden of diabetes-related foot complications (DRFC), such as foot ulcers, lower extremity amputations (LEA), and peripheral arterial disease. This scoping review aimed to provide a comprehensive understanding of DRFC among First Nations, Métis, and Inuit peoples in Canada, incorporating an equity lens.MethodsA scoping review was conducted based on Arksey and O’Malley refined by the Joanna Briggs Institute. The PROGRESS-Plus framework was utilized to extract data and incorporate an equity lens. A critical appraisal was performed, and Indigenous stakeholders were consulted for feedback. We identified the incorporation of patient-oriented/centered research (POR).ResultsOf 5,323 records identified, 40 studies were included in the review. The majority of studies focused on First Nations (92%), while representation of the Inuit population was very limited populations (< 3% of studies). LEA was the most studied outcome (76%). Age, gender, ethnicity, and place of residence were the most commonly included variables. Patient-oriented/centered research was mainly included in recent studies (16%). The overall quality of the studies was average. Data synthesis showed a high burden of DRFC among Indigenous populations compared to non-Indigenous populations. Indigenous identity and rural/remote communities were associated with the worse outcomes, particularly major LEA.DiscussionThis study provides a comprehensive understanding of DRFC in Indigenous peoples in Canada of published studies in database. It not only incorporates an equity lens and patient-oriented/centered research but also demonstrates that we need to change our approach. More data is needed to fully understand the burden of DRFC among Indigenous peoples, particularly in the Northern region in Canada where no data are previously available. Western research methods are insufficient to understand the unique situation of Indigenous peoples and it is essential to promote culturally safe and quality healthcare.ConclusionEfforts have been made to manage DRFC, but continued attention and support are necessary to address this population’s needs and ensure equitable prevention, access and care that embraces their ways of knowing, being and acting.Systematic review registrationOpen Science Framework https://osf.io/j9pu7, identifier j9pu7

Dossier : la formation des enseignants et des enseignantes du collégial : réflexions autour de l'avis du Conseil supérieur de l'éducation.

Bibliogr.La FNEEQ [Fédération nationale des enseignantes et des enseignants du Québec] et la formation du personnel enseignant de l'ordre collégial / Réaction de la FAC [Fédération autonome du collégial] à l'avis du Conseil supérieur de l'éducation sur la formation du personnel enseignant au collégial : vers une déformation de l'enseignement collégial / La formation professionnelle des enseignants et la FEC [Fédération des enseignants et enseignantes de cégeps] (CSQ) / La FECQ [Fédération étudiante collégiale du Québec] et la formation du personnel enseignant du collégial : un projet qui lui tient à coeur / PERFORMA et l'insertion professionnelle du nouveau personnel enseignant / L'avis du Conseil supérieur de l'éducation : réaction préliminaire de la Fédération des cégeps, L'AQPC [Association québécoise de pédagogie collégiale] et l'avis du Conseil supérieur de l'éducation, Pédagogie collégiale et les thèmes abordés dans l'avis du Conseil supérieur de l'éducation : bibliographie

Variance optimal hedging in the Black-Scholes model for a given number of transactions

Theme 4 - Simulation et optimisation de systemes complexes - Projet MATHFISIGLEAvailable from INIST (FR), Document Supply Service, under shelf-number : 14802 E, issue : a.1999 n.3767 / INIST-CNRS - Institut de l'Information Scientifique et TechniqueFRFranc

Discrete superstrategies

Theme 4 - Simulation et optimisation de systemes complexes - Projet MathfiSIGLEAvailable from INIST (FR), Document Supply Service, under shelf-number : 14802 E, issue : a.2000 n.4066 / INIST-CNRS - Institut de l'Information Scientifique et TechniqueFRFranc