A model is developed for evaluating the conditional probability of hitting an upper barrier before a lower barrier, and vice versa, for a tied down geometric Brownian motion with drift. The method produces an analytical value for this probability, assuming that the barrier levels are constant and continuously monitored.

Abstract

Entrepreneurs are the moving force of economic growth. Through entrepreneurship comes employment opportunities. From the Filipino youth to Filipino women and up to Filipino professional, there is always that profound intention to engage themselves in entrepreneurship not just to generate revenue but also to help in the upliftment of…[Read more]

This study presents innovative strategies for EFL educators aimed at cultivating resilience and growth mindsets in learners. Utilizing a mixed-methods approach, we engaged 200 learners aged 11-20 from varied linguistic backgrounds. The methodology comprised surveys and interviews, enabling customized interventions that significantly improved…[Read more]

South African universities’ use of digital technologies in learning has increased in recent years. Given that
social exposure, the context and pedagogic uses of technology influence learning expectations and
learner involvement, it is important to understand students’ experiences of the use of different
technological tools. This article emp…[Read more]

Globally, student support mechanisms focus almost exclusively on academically ‘under-performing’
students, especially as insofar as academic development practices are concerned. This article makes a
case for a shift in approach. Using the context of one country, South Africa, we sought to better
understand the strengths that academically…[Read more]

Pre-service mathematics teachers’ (PMTs) subject competency continues to engage scholars and researchers.
Understanding level of knowledge of concepts that PMTs bring to their learning in university is crucial to
developing their teacher knowledge. This article examines genetic decomposition of schemas PMTs in one
university in South Africa b…[Read more]

This article presents a model for pricing complex CDO structures and compute the sensitivities of the risk factors. The complex CDO structures need to be priced using the market information on tranche losses at multiple points of time. Currently, the model is being used for the valuation of forward starting CDO trades (FSCDO) and loss-trigger…[Read more]

The structure of a Binary Return Note is similar to the one of a regular note, but the coupons are
contingent on return rates on stocks. Quasi-Monte Carlo simulation is used for pricing the product.

We present a pricing model for fade option. A fade option can be more precisely named as “point-barrier option”. The fade option is a vanilla option that exists or dies if a barrier is breached on a single preset date, which is prior or equal to the contract maturity.

This publication is part of the project “Ricontrans – Visual Culture, Piety and Propaganda. Transfer and Reception of Russian Religious Art in the Balkans and the Eastern Mediterranean (16th to Early 20th Century)”, funded from the European Research Council (erc) under the European Union’s Horizon 2020 research and innovation programme (grant…[Read more]

Average rate or Asian options have a payoff function proportional to an average rate or price. The average price is calculated over a sampling of specified dates that need not be equally spaced in time. The average price or rate tends to be less volatile than a single underlying price and hence, an option on the underlying average price should be…[Read more]