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Published in: Asia-Pacific Financial Markets 1/2019

14-11-2018

In search of robust methods for multi-currency portfolio construction by value at risk

Authors: Mei-Ling Tang, Trung K. Do

Published in: Asia-Pacific Financial Markets | Issue 1/2019

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Abstract

The main purpose of this paper is to select the most appropriate technique predicting precisely the exchange rate risk from three main approaches, namely, the Historical Simulation approach, the Variance–Covariance approach and the Monte Carlo Simulation approach. Our main finding shows that the historical simulation approach with exponentially weighted moving average, which exhibits the lowest out-of-sample loss, is the most appropriate method for value at risk estimation with regard to a multi-currency portfolio construction in the Taiwan foreign exchange market. Moreover, results in backtesting lend support to the accuracy of our proposed strategies at the 99% confidence level.

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Footnotes
1
Reminding to the history of Value at Risk, Markowitz (1952) published a paper on Value at risk (VaR). Only 3 months later, Roy (1952) published another paper also regarding to VaR. Although the two papers were independently written, they had similarities concerning optimization of portfolio risk and both used covariance to hedge and diversify portfolios. Mathematically, Markowitz and Roy presented calculations of VaR similar to the other.
 
2
With regard to the choice of the window of observations, we follow Hendricks (1996); and Jegadeesh and Titman (1993, 2001 to employ the choice of past 6 months return (equivalent to 125 days).
 
3
See Hull (2015).
 
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Metadata
Title
In search of robust methods for multi-currency portfolio construction by value at risk
Authors
Mei-Ling Tang
Trung K. Do
Publication date
14-11-2018
Publisher
Springer Japan
Published in
Asia-Pacific Financial Markets / Issue 1/2019
Print ISSN: 1387-2834
Electronic ISSN: 1573-6946
DOI
https://doi.org/10.1007/s10690-018-9260-7

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