Volatility analysis via coupled Wishart process

Author(s):  
Zhong She ◽  
Can Wang
Author(s):  
Walid Omar Matar ◽  
Saud Al-Fattah ◽  
Tarek N. Atallah ◽  
Axel Pierru

2014 ◽  
Vol 51 (3) ◽  
pp. 640-656 ◽  
Author(s):  
Alessandro Gnoatto ◽  
Martino Grasselli

We derive the explicit formula for the joint Laplace transform of the Wishart process and its time integral, which extends the original approach of Bru (1991). We compare our methodology with the alternative results given by the variation-of-constants method, the linearization of the matrix Riccati ordinary differential equation, and the Runge-Kutta algorithm. The new formula turns out to be fast and accurate.


Author(s):  
Piotr Wybieralski

Purpose: The aim of the chapter is to analyze the impact of the Covid-19 pandemic and market volatility increase on risk management in the OTC derivatives market in Poland. Design/methodology/approach: The chapter describes the legal background of derivatives trading with non-financial enterprises, then identifies the main risks, and discusses possible actions of market participants. In this regard, the study conducts volatility analysis based on selected market data. Findings: Due to volatility increase and the resulting negative valuation of non-matured currency derivatives by Polish exporters, margin call clauses were triggered, entailing the need to post additional collateral or prematurely close contracts. The described situation is particularly difficult when the pre-settlement limit is fully utilized on deal date, usually in the case of long-lasting large open exposures in non-flexible transactions. Research implications: To determine market risk, studies often apply the VaR approach. Inthis way, the specific amount of risk is analyzed on adaily basis and used by banks both to determine the maximum amount of the contract and to control pre-settlement risk. Apart from many advantages of the VaR approach, there are some drawbacks, especially related to volatility estimation, which usually relies on historical market fluctuations. It may cause that the risk will not be properly valued under crisis conditions. In such situations, supplementary methods should be also implemented (stresstests). Practical implications: Under high market volatility, preventive actions should be prepared in advance, including treasury limit increase, additional funds for collaterals, or contracts modification (flexible products should be considered).Originality and value: The study covers a challenge that banks face, which is rarely described in professional literature but very serious for bank management. Under normal market conditions, if the margin call clause appears and no additional collateral is posted, the transaction should be closed to limit the counterparty’s loss. However, this type of action during the pandemic may impose the risk of force majeure. From the company perspective, using such instruments threatens their early settlement and the need to finance closeout amount.


2021 ◽  
Vol 13 (1) ◽  
pp. 1
Author(s):  
Priya Makhija ◽  
Narinder Pal Singh ◽  
Elizabeth Chacko

2012 ◽  
Vol 38 (3) ◽  
pp. 492-517 ◽  
Author(s):  
Lucía Morales ◽  
Bernadette Andreosso-O’Callaghan

2019 ◽  
Vol 37 (2) ◽  
pp. 229-242 ◽  
Author(s):  
Cynthia Miglietti ◽  
Zdenka Kubosova ◽  
Nicole Skulanova

Purpose This paper aims to empirically investigate the volatility of Bitcoin, Litecoin and the Euro. Design/methodology/approach The authors use quantitative methodologies to assess the annualized volatility of two cryptocurrencies and one international fiat currency. The exchange rate of the currencies is monitored on a daily basis using 1,460 observations from January 1, 2014 to December 31, 2017. The models used include the augmented Dickey–Fuller test, Akaike Information Criteria, autocorrelation function and exchange rate changes determining which currency is the most volatile. Findings The findings indicate, based on the statistical measures used, including the standard deviation of selected currencies and annualized volatility, that Litecoin is more volatile than Bitcoin and the Euro and that Bitcoin is more volatile than the Euro. This furthers previous research on cryptocurrency volatility. Originality/value The paper provides compelling evidence about the volatility of Litecoin and Bitcoin. The volatility of cryptocurrencies is furthered with data that are more current. The findings are important for investors, financial markets and central banks.


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