HEAVY-TAILED DISTRIBUTIONS AND THE CANADIAN STOCK MARKET RETURNS

Many of financial engineering theories are based on so-called “complete markets” and on the use of the Black-Scholes formula. The formula relies on the assumption that asset prices follow a log-normal distribution, or in other words, the daily fluctuations in prices viewed as percentage changes foll...

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Main Authors: David Eden, Paul Huffman, John Holman
Format: Article
Language:English
Published: Nicolaus Copernicus University in Toruń 2017-12-01
Series:Copernican Journal of Finance & Accounting
Subjects:
Online Access:https://apcz.umk.pl/CJFA/article/view/15266
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author David Eden
Paul Huffman
John Holman
author_facet David Eden
Paul Huffman
John Holman
author_sort David Eden
collection DOAJ
description Many of financial engineering theories are based on so-called “complete markets” and on the use of the Black-Scholes formula. The formula relies on the assumption that asset prices follow a log-normal distribution, or in other words, the daily fluctuations in prices viewed as percentage changes follow a Gaussian distribution. On the contrary, studies of actual asset prices show that they do not follow a log-normal distribution. In this paper, we investigate several widely-used heavy-tailed distributions. Our results indicate that the Skewed t distribution has the best empirical performance in fitting the Canadian stock market returns. We claim the results are valuable for market participants and the financial industry.
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spelling doaj.art-ddf5c18e614e4dda867fb1434ffa9c0a2023-09-02T05:33:03ZengNicolaus Copernicus University in ToruńCopernican Journal of Finance & Accounting2300-12402300-30652017-12-0162HEAVY-TAILED DISTRIBUTIONS AND THE CANADIAN STOCK MARKET RETURNSDavid Eden0Paul Huffman1John Holman2Bank of CanadaUniversity of ManitobaIllinois State UniversityMany of financial engineering theories are based on so-called “complete markets” and on the use of the Black-Scholes formula. The formula relies on the assumption that asset prices follow a log-normal distribution, or in other words, the daily fluctuations in prices viewed as percentage changes follow a Gaussian distribution. On the contrary, studies of actual asset prices show that they do not follow a log-normal distribution. In this paper, we investigate several widely-used heavy-tailed distributions. Our results indicate that the Skewed t distribution has the best empirical performance in fitting the Canadian stock market returns. We claim the results are valuable for market participants and the financial industry.https://apcz.umk.pl/CJFA/article/view/15266Value at RiskGSPTSESkewed t distribution
spellingShingle David Eden
Paul Huffman
John Holman
HEAVY-TAILED DISTRIBUTIONS AND THE CANADIAN STOCK MARKET RETURNS
Copernican Journal of Finance & Accounting
Value at Risk
GSPTSE
Skewed t distribution
title HEAVY-TAILED DISTRIBUTIONS AND THE CANADIAN STOCK MARKET RETURNS
title_full HEAVY-TAILED DISTRIBUTIONS AND THE CANADIAN STOCK MARKET RETURNS
title_fullStr HEAVY-TAILED DISTRIBUTIONS AND THE CANADIAN STOCK MARKET RETURNS
title_full_unstemmed HEAVY-TAILED DISTRIBUTIONS AND THE CANADIAN STOCK MARKET RETURNS
title_short HEAVY-TAILED DISTRIBUTIONS AND THE CANADIAN STOCK MARKET RETURNS
title_sort heavy tailed distributions and the canadian stock market returns
topic Value at Risk
GSPTSE
Skewed t distribution
url https://apcz.umk.pl/CJFA/article/view/15266
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AT paulhuffman heavytaileddistributionsandthecanadianstockmarketreturns
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