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On the Convexity of the Instantaneous Impact Cost Function
Journal of Mathematical Sciences. 2020. Vol. 248. No. 1. P. 116–122.
N. A. Andreev
This paper studies the form of the instantaneous impact cost function in a financial market with transaction costs via an axiomatic approach. We show that several kinds of convexity of the cost function are equivalent to the corresponding properties of the price impact functions. The results clarify the implicit assumptions made when selecting a particular form of the cost function and can be used when choosing the correct portfolio optimization framework.
Language:
English
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A well-studied class of algorithmic problems is that of regular realizability: checking the non-emptiness of the intersection of a regular language with a given language. This problem has a natural algebraic interpretation: verifying whether an element of a Boolean algebra belongs to the kernel of a certain homomorphism. This motivates the consideration of an analogous ...
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The year 2026 marks the 250th anniversary of Adam Smith’s “An inquiry into the nature and causes of the wealth of nations”, the work that had laid the foundations of economic science. The three factors of production Smith implicitly introduced — labor, land, and capital — no longer operate in their pure form: the digital ...
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Sizova A., Барнаул: Алтайский государственный педагогический университет, 2026.
В сборник включены научные статьи, посвященные различным аспектам социально-экономической и культурной истории Сибири в контексте внутренней и внешней политики России. Сборник посвящен 70-летию со дня рождения известного ученого, педагога, просветителя и общественного деятеля, доктора исторических наук, профессора Александра Владимировича Старцева (1956–2019).
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Springer, 2027.
The series Lecture Notes in Computer Science (LNCS), including its subseries Lecture Notes in Artificial Intelligence (LNAI) and Lecture Notes in Bioinformatics (LNBI), has established itself as a medium for the publication of new developments in computer science and information technology research, teaching, and education. LNCS enjoys close cooperation with the computer science R & ...
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