2010
DOI: 10.1080/02664760902846114
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The exchange rate risk of Chinese yuan: Using VaR and ES based on extreme value theory

Abstract: This paper applies extreme value theory (EVT) to estimate the tails of return series of Chinese yuan (CNY) exchange rates. We find that the degree of fitting Pareto distribution to the data of the tail of return series is extremely high. The empirical results indicate that expected shortfall cannot improve the tail risk problem of value-at-risk (VaR). The evidence of back testing indicates that EVT-based VaR values underestimate the risks of exchange rates such as USD/CNY and HKD/CNY, which may be caused by th… Show more

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Cited by 27 publications
(17 citation statements)
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References 14 publications
(10 reference statements)
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“…The GARCH‐EVT model proposed by and combines GARCH models to estimate the current volatility and EVT for estimating the tail of the innovation distribution of the GARCH model. The model has been widely used to estimate extreme financial risk, see .…”
Section: Methods For Estimating Financial Riskmentioning
confidence: 99%
See 1 more Smart Citation
“…The GARCH‐EVT model proposed by and combines GARCH models to estimate the current volatility and EVT for estimating the tail of the innovation distribution of the GARCH model. The model has been widely used to estimate extreme financial risk, see .…”
Section: Methods For Estimating Financial Riskmentioning
confidence: 99%
“…The GARCH-EVT model proposed by [16] and [17] combines GARCH models to estimate the current volatility and EVT for estimating the tail of the innovation distribution of the GARCH model. The model has been widely used to estimate extreme financial risk, see [18]. As we know, the exponentially weighted moving average model is a special case of a generalized autoregressive conditional heteroscedasticity model proposed by [19] with the GARCH(1,1) form…”
Section: Garch-evt Modelmentioning
confidence: 99%
“…To estimate the VaR with high peaks and heavy tails of exchange rate returns, it is ideal to assume that U(·) follows Student's t-distribution (Wang et al, 2010). When h is small, an approximate formula for the 100a per cent h-day Student's t VaR is given by…”
Section: Parametric Methodsmentioning
confidence: 99%
“…Despite the plurality of articles that use VaR to measure the risk of different exchange rates, such as Zhan & Tian (2000), Wang et al (2010), Li et al (2007), among others, there are few studies that investigate the exchange rate risk of the brazilian real. Moreover, in the current scenario, in which the country has been facing several economic and political reforms in which the local currency has been showing strong volatility, the measurement of the risk of the real acquires a character of urgency, presenting, therefore, great importance.…”
Section: Introductionmentioning
confidence: 99%