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A closed-form pricing formula for forward start options under a regime-switching stochastic volatility model

, 2021
In this paper, we consider the pricing problem of forward start options in the presence of stochastic volatility and regime-switching. By making use of the measure transform technique, with the underlying price as a new numeraire, a closed-form pricing ...
Sha Lin, Xin‐Jiang He
semanticscholar   +1 more source

Accurate Non-Linearity Fully-Closed-Form Formula based on the GN/EGN Model and Large-Data-Set Fitting

Optical Fiber Communications Conference and Exhibition, 2019
We tested the accuracy of a fully-closed-form GN/EGN formula over 1,700 different fully-loaded systems. We improved it greatly through a correction that leverages the large data-set, providing an effective tool for real-time physical-layer-aware network ...
P. Poggiolini   +4 more
semanticscholar   +1 more source

The statistical Minkowski distances: Closed-form formula for Gaussian Mixture Models

International Conference on Geometric Science of Information, 2019
The traditional Minkowski distances are induced by the corresponding Minkowski norms in real-valued vector spaces. In this work, we propose novel statistical symmetric distances based on the Minkowski's inequality for probability densities belonging to ...
F. Nielsen
semanticscholar   +1 more source

Commodity Asian Options: A Closed-Form Formula

SSRN Electronic Journal, 2007
We compute an analytical expression for the moment generating function of the joint random vector consisting of a spot price and its discretely monitored average for a large class of square-root price dynamics. This result, combined with the Fourier transform pricing method proposed by Carr and Madan (1999) [Carr, P., Madan D., 1999.
Gianluca Fusai   +2 more
openaire   +1 more source

Close Form Pricing Formulas for CoCa CoCos

SSRN Electronic Journal, 2013
Contingent Convertibles ("CoCos") are contingent capital instruments which convert into shares, or have a principal write down, if a trigger event takes place. CoCos exhibit the undesirable so-called "death-spiral effect": by actively hedging the equity risk, investors can (unintentionally) force the conversion by making the share price deteriorate and
José Manuel Corcuera   +4 more
openaire   +1 more source

A Closed‐Form Formula for Pricing European Options With Stochastic Volatility, Regime Switching, and Stochastic Market Liquidity

Journal of futures markets
We consider European option pricing when the volatility of the underlying stock is stochastic and affected by economic cycles. We further assume that market liquidity risks have a significant impact on the price of the stock that is not negligible, and ...
Xin‐Jiang He, Han Chen, Sha Lin
semanticscholar   +1 more source

A Low Complexity Proportionate Generlized Correntropy-Based Diffusion LMS Algorithm With Closed-Form Gain Coefficients

IEEE Transactions on Circuits and Systems - II - Express Briefs, 2023
This brief proposes a correntropy-based proportionate diffusion algorithm with low computational complexity. The proportionate diffusion algorithms in the literature suffer from a high computational complexity due to the complicated calculation process ...
Fatemehsadat Hoseiniamin   +3 more
semanticscholar   +1 more source

Closed form of the rotational Crofton formula

Mathematische Nachrichten, 2011
AbstractThe closed form of a rotational version of the famous Crofton formula is derived. In the case where the sectioned object is a compact d‐dimensional C2 manifold with boundary, the rotational average of intrinsic volumes (total mean curvatures) measured on sections passing through a fixed point can be expressed as an integral over the boundary ...
Auneau, J.   +2 more
openaire   +4 more sources

On the Closed-Form Weight Enumeration of Polar Codes: 1.5d -Weight Codewords

IEEE Transactions on Communications, 2023
The weight distribution of an error correction code is a critical determinant of its error-correcting performance. In the case of polar codes, the minimum weight $\mathop {\mathrm {w}}\nolimits _{\min }$ (equal to the minimum distance d) is the only ...
V. Dragoi   +2 more
semanticscholar   +1 more source

Macaulay and closed form duration formulas

The British Accounting Review, 1990
Abstract This paper draws attention to Macaulay's closed form formula for duration and demonstrates its simple links to alternative closed form formulas for duration presented in recent years.
openaire   +1 more source

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