Analytical formula for conditional expectations of path-dependent product of polynomial and exponential functions of extended Cox–Ingersoll–Ross process

2022 ◽  
Vol 9 (1) ◽  
Author(s):  
Phiraphat Sutthimat ◽  
Sanae Rujivan ◽  
Khamron Mekchay ◽  
Udomsak Rakwongwan
Keyword(s):  
Analytical Formula ◽  
Exponential Functions ◽  
Conditional Expectations ◽  
Path Dependent ◽  
Dependent Product

Killing Ambition

2021 ◽  
pp. 167-220
Author(s):  
Oren Falk
Keyword(s):  
North America ◽  
State Formation ◽  
Thirteenth Century ◽  
Historical Reality ◽  
The Past ◽  
Political Consolidation ◽  
The Face ◽  
Political Centralization ◽  
Path Dependent ◽  
Dependent Product

This chapter seeks to account for the nearly complete absence of warfare from medieval Iceland and its sagas. It argues that a single logic dictated both the embrace of feud as a socially constructive idea and the rejection of war as an abomination. Drawing on anthropological examples and analyses, war is defined by contrasting it with feud; the bond between war and state-formation is emphasized. War presupposes political centralization and differentiation, which Icelanders, committed to the reciprocal logic of feuding, resisted. According to the sagas, ideological opposition to war manifested itself in abortive attempts at political consolidation within Iceland, in confusion and substitution in the face of war elsewhere (in Norway, England, and North America), and in failure to contend with burgeoning warlike activity in thirteenth-century Iceland. Tensions between state-centric warfare and state-resistant feuding existed in historical reality, however, not only in saga accounts of this history; and in reality, tensions could not always be resolved. Uchronia provided a tool for creative, retrospective textual resolution of problems that could not be overcome in practice. As demonstrated by the Icelandic law code, Grágás, the past thus became the path-dependent product of the future. Uchronic ideology worked to emend any perceived historical ‘errors’: any symptoms of war that could not be suppressed in reality were, instead, overwritten and repressed in text

Pricing derivatives with fractional volatility

2017 ◽  
Vol 04 (01) ◽  
pp. 1750014 ◽  
Author(s):  
Hideharu Funahashi
Keyword(s):  
Brownian Motion ◽  
Analytical Formula ◽  
Approximation Formula ◽  
Barrier Options ◽  
Hurst Index ◽  
Option Prices ◽  
Important Lesson ◽  
Highly Sensitive ◽  
Path Dependent ◽  
The Impact

This paper studies the effect of fractional volatility on path-dependent options, which are highly sensitive to the volatility structure of a targeted underlying asset process. To this end, we propose an approximation formula for average and barrier options when volatility follows a fractional Brownian motion. Furthermore, using the analytical formula, we investigate the impact of the Hurst index on option prices. Overall, our important finding is that when the maturity is short and speed of mean-reversion is slow, the impact of the Hurst index strongly influences the option prices and that is non-negligible. This is an important lesson for practitioners who uses standard Brownian motion.

Predicting Conditional Expectations For Path-Dependent Events Using TDBP-Learning

2020 ◽  
Author(s):  
Daniel Alexandre Bloch ◽  
Arthur Böök
Keyword(s):  
Conditional Expectations ◽  
Path Dependent

Moral reasoning is the process of asking moral questions and answering them

2019 ◽  
Vol 42 ◽  
Author(s):  
Mark Alfano
Keyword(s):  
Moral Reasoning ◽  
Dependent Process ◽  
Asking Questions ◽  
Path Dependent ◽  
Path Dependent Process ◽  
Moral Questions

Abstract Reasoning is the iterative, path-dependent process of asking questions and answering them. Moral reasoning is a species of such reasoning, so it is a matter of asking and answering moral questions, which requires both creativity and curiosity. As such, interventions and practices that help people ask more and better moral questions promise to improve moral reasoning.

Stress Path Dependent Hydromechanical Properties of Carbonates - Impact of Heterogeneities and use of Effective Medium Theory for Critical State Scaling

2009 ◽  
Author(s):  
Nicolas F. Gland ◽  
Jeremie Dautriat ◽  
Olga Vizika ◽  
Alexandre Dimanov ◽  
Jean L. Raphanel
Keyword(s):  
Critical State ◽  
Effective Medium Theory ◽  
Stress Path ◽  
Effective Medium ◽  
Medium Theory ◽  
Path Dependent

Application of an analytical formula for UV Index reconstructions for two locations in Southwestern Spain

Tellus B ◽  
2011 ◽  
Vol 63 (5) ◽  
Author(s):  
M. Antón ◽  
A. Serrano ◽  
M. L. Cancillo ◽  
J. A. García ◽  
S. Madronich
Keyword(s):  
Analytical Formula ◽  
Uv Index

The singular points binominal method for pricing American path-dependent options

2010 ◽  
Vol 14 (1) ◽  
pp. 29-56 ◽  
Author(s):  
Marcellino Gaudenzi ◽  
Antonino Zanette ◽  
Maria Antonietta Lepellere
Keyword(s):  
Singular Points ◽  
Path Dependent
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