dor_id: 14479

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510.0.#.a: Consejo Nacional de Ciencia y Tecnología (CONACyT); Sistema Regional de Información en Línea para Revistas Científicas de América Latina, el Caribe, España y Portugal (Latindex); Scientific Electronic Library Online (SciELO); SCOPUS, SCImago Journal Rank (SJR)

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650.#.4.x: Ciencias Sociales y Económicas

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336.#.#.3: Artículo de Investigación

336.#.#.a: Artículo

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270.1.#.p: Revistas UNAM. Dirección General de Publicaciones y Fomento Editorial, UNAM en revistas@unam.mx

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850.#.#.a: Universidad Nacional Autónoma de México

856.4.0.u: http://www.cya.unam.mx/index.php/cya/article/view/1839/1211

100.1.#.a: Climent Hernández, José Antonio; Hoyos Reyes, Luis Fernando; Rodríguez Benavides, Domingo

524.#.#.a: Climent Hernández, José Antonio, et al. (2017). The α-stable processes and their relationship with the exponent of self-similarity: Exchange rates of USA Dollar, Canadian Dollar, Euro and Yen. Contaduría y Administración; Vol. 62, Núm. 5:. Recuperado de https://repositorio.unam.mx/contenidos/14479

245.1.0.a: The α-stable processes and their relationship with the exponent of self-similarity: Exchange rates of USA Dollar, Canadian Dollar, Euro and Yen

502.#.#.c: Universidad Nacional Autónoma de México

561.1.#.a: Facultad de Contaduría y Administración, UNAM

264.#.0.c: 2017

264.#.1.c: 2017-12-14

653.#.#.a: Α-stable processes; self-similar exponent; financial engineering; α-stable processes; self-similar exponent; financial engineering

506.1.#.a: La titularidad de los derechos patrimoniales de esta obra pertenece a las instituciones editoras. Su uso se rige por una licencia Creative Commons BY 4.0 Internacional, https://creativecommons.org/licenses/by/4.0/legalcode.es, fecha de asignación de la licencia 2017-12-14, para un uso diferente consultar al responsable jurídico del repositorio por medio del correo electrónico revista_cya@fca.unam.mx

884.#.#.k: http://www.cya.unam.mx/index.php/cya/article/view/1839

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041.#.7.h: eng

520.3.#.a: This research work analyzes the yields of the exchange rate parities of the American dollar, Canadian dollar, Euro, and Yen; estimates the basic statistics and the α-stables; carries out the Kolmogorov–Smirnov, Anderson–Darling, and Lilliefors goodness of fit tests; estimates the self-similar exponents and carries out the t and F tests, ruling out that the series of parities are multifractal. It also estimates the confidence intervals of the exchange rate parities and concludes that the estimated α-stable distributions are more efficient than the Gaussian distribution to quantify the risks of the market, and that the series are self-similar. Through the ℵ index, we can infer the risk of the events, indicating that the parities are anti-persistent and thus have short-term memory, mean reversion, and a negative correlation with the high risk in the short and medium term. The estimation and validation of the α-stable distributions and the self-similar exponent are important in the evaluation and creation of innovative investment instruments through financial engineering, risk administration, and the evaluation of derived products. This research work analyzes the yields of the exchange rate parities of the American dollar, Canadian dollar, Euro, and Yen; estimates the basic statistics and the α-stables; carries out the Kolmogorov–Smirnov, Anderson–Darling, and Lilliefors goodness of fit tests; estimates the self-similar exponents and carries out the t and F tests, ruling out that the series of parities are multifractal. It also estimates the confidence intervals of the exchange rate parities and concludes that the estimated α-stable distributions are more efficient than the Gaussian distribution to quantify the risks of the market, and that the series are self-similar. Through the ℵ index, we can infer the risk of the events, indicating that the parities are anti-persistent and thus have short-term memory, mean reversion, and a negative correlation with the high risk in the short and medium term. The estimation and validation of the α-stable distributions and the self-similar exponent are important in the evaluation and creation of innovative investment instruments through financial engineering, risk administration, and the evaluation of derived products.

773.1.#.t: Contaduría y Administración; Vol. 62, Núm. 5: (2017)

773.1.#.o: http://www.cya.unam.mx/index.php/cya/index

046.#.#.j: 2021-10-20 00:00:00.000000

022.#.#.a: ISSN electrónico: 2448-8410; ISSN impreso: 0186-1042

310.#.#.a: Trimestral

264.#.1.b: Facultad de Contaduría y Administración, UNAM

758.#.#.1: http://www.cya.unam.mx/index.php/cya/index

doi: https://doi.org/10.1016/j.cya.2017.10.002

handle: 24d57273ab1a8eaf

harvesting_date: 2019-02-06 00:00:00.0

856.#.0.q: application/pdf

245.1.0.b: The α-stable processes and their relationship with the exponent of self-similarity: exchange rates of usa dollar, canadian dollar, euro and yen

last_modified: 2023-03-22 16:00:00

license_url: https://creativecommons.org/licenses/by/4.0/legalcode.es

license_type: by

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Artículo

The α-stable processes and their relationship with the exponent of self-similarity: Exchange rates of USA Dollar, Canadian Dollar, Euro and Yen

Climent Hernández, José Antonio; Hoyos Reyes, Luis Fernando; Rodríguez Benavides, Domingo

Facultad de Contaduría y Administración, UNAM, publicado en Contaduría y Administración, y cosechado de Revistas UNAM

Licencia de uso

Procedencia del contenido

Entidad o dependencia
Facultad de Contaduría y Administración, UNAM
Revista
Repositorio
Contacto
Revistas UNAM. Dirección General de Publicaciones y Fomento Editorial, UNAM en revistas@unam.mx

Cita

Climent Hernández, José Antonio, et al. (2017). The α-stable processes and their relationship with the exponent of self-similarity: Exchange rates of USA Dollar, Canadian Dollar, Euro and Yen. Contaduría y Administración; Vol. 62, Núm. 5:. Recuperado de https://repositorio.unam.mx/contenidos/14479

Descripción del recurso

Autor(es)
Climent Hernández, José Antonio; Hoyos Reyes, Luis Fernando; Rodríguez Benavides, Domingo
Tipo
Artículo de Investigación
Área del conocimiento
Ciencias Sociales y Económicas
Título
The α-stable processes and their relationship with the exponent of self-similarity: Exchange rates of USA Dollar, Canadian Dollar, Euro and Yen
Fecha
2017-12-14
Resumen
This research work analyzes the yields of the exchange rate parities of the American dollar, Canadian dollar, Euro, and Yen; estimates the basic statistics and the α-stables; carries out the Kolmogorov–Smirnov, Anderson–Darling, and Lilliefors goodness of fit tests; estimates the self-similar exponents and carries out the t and F tests, ruling out that the series of parities are multifractal. It also estimates the confidence intervals of the exchange rate parities and concludes that the estimated α-stable distributions are more efficient than the Gaussian distribution to quantify the risks of the market, and that the series are self-similar. Through the ℵ index, we can infer the risk of the events, indicating that the parities are anti-persistent and thus have short-term memory, mean reversion, and a negative correlation with the high risk in the short and medium term. The estimation and validation of the α-stable distributions and the self-similar exponent are important in the evaluation and creation of innovative investment instruments through financial engineering, risk administration, and the evaluation of derived products. This research work analyzes the yields of the exchange rate parities of the American dollar, Canadian dollar, Euro, and Yen; estimates the basic statistics and the α-stables; carries out the Kolmogorov–Smirnov, Anderson–Darling, and Lilliefors goodness of fit tests; estimates the self-similar exponents and carries out the t and F tests, ruling out that the series of parities are multifractal. It also estimates the confidence intervals of the exchange rate parities and concludes that the estimated α-stable distributions are more efficient than the Gaussian distribution to quantify the risks of the market, and that the series are self-similar. Through the ℵ index, we can infer the risk of the events, indicating that the parities are anti-persistent and thus have short-term memory, mean reversion, and a negative correlation with the high risk in the short and medium term. The estimation and validation of the α-stable distributions and the self-similar exponent are important in the evaluation and creation of innovative investment instruments through financial engineering, risk administration, and the evaluation of derived products.
Tema
Α-stable processes; self-similar exponent; financial engineering; α-stable processes; self-similar exponent; financial engineering
Idioma
eng
ISSN
ISSN electrónico: 2448-8410; ISSN impreso: 0186-1042

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