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.

Rhetorically savvy course descriptions, because they speak to multiple audiences, stand as a demonstration of your teaching excellence. The well-crafted description acts as a snapshot that attests to your ability to attract students and teach your disciplinary ways of knowing beyond your disciplinary context. Whether your context is the job market…[Read more]

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]

As educators, we are all familiar with Bloom’s Taxonomy and the way it progressively maps the cognitive activities involved in learning and constructing knowledge. Too often, however, we educators who work in writing-focused curricula ask our students to work in the higher-order cognitive domains of analysis and creation without necessarily giving…[Read more]

Teaching the fundamentals of writing composition shouldn’t be boring. It should be active, engaging, and EMPOWERING! Most students, whether they consciously articulate it or not, want to vanquish their writing anxiety. They want to develop confidence in their ability to compose and revise strong prose that will help them thrive in coursework and…[Read more]

In courses that end in summative final exams or capstone projects, it can be challenging to get students to pull back and identify the learning that they’ve done across an entire unit or semester rather than only focus on the learning they’ve undertaken most recently. As part of our larger sequence of active-learning-based lesson plans designed to…[Read more]

This paper focuses on two elements of the Passover Seder ritual and their connection to Piagetian education theory. After outlining Piaget’s theory of genetic epistemology and its implications for education theory, it focuses on Sigel’s distancing theory, which touts question asking as a tool for presenting information to students. This paper arg…[Read more]

This paper explores Romanian women’s influence on US fashion as representatives of European artistic, cultural, and social elites and as genuine Parisiennes. This study treats the Parisienne model as a symbolic marker of elegance driven by French, namely Parisian, aesthetic philosophies, and technical prowess. In this sense, Romanian women f…[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]

Alfonso X was king of “Castilla, León, Sevilla, Córdoba, Murcia, Jaén, and el Algarbe.” As evidenced by his title, he came to have possession of various kingdoms in Iberia. He was born in Toledo in 1221 and died in Seville in 1284, at 63 years of age. He is called the Learned King because he was an author, poet, musician, and historian, and becaus…[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.

A comprehensive exams reading list for the history of Empire in the Modern World.

A comprehensive exams reading list for the history of Modern Europe

The reading list for a comprehensive exams major field in the history of Modern France and the French Colonial Empire.

A syllabus for a 200-level history course on global colonialism and imperialism taught at Northeastern University.

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.

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]