Risk Analysis on Foreign Exchange Using Value-at-Risk Parametric Approach

https://doi.org/10.47194/ijgor.v3i4.190

Authors

  • Sunarta Susanto Mathematics Undergraduate Study Program, Faculty of Mathematics and Natural Sciences, Universitas Padjadjaran, Jatinangor, Indonesia
  • Riaman Riaman
  • Sukono Sukono

Keywords:

Forex, VaR, Modified VaR, Student-t, Investment.

Abstract

Foreign Exchange or usually known as Forex are one of the most famous investment objects. When investing in Forex, it is necessary to know the movements of the foreign exchange price as well as the risk that might happen. The purpose of this study is to predict the level of risk, seeing the characteristics of foreign exchange, and compare which foreign exchange is better to invest in. The Value-At-Risk (VaR) models used to predict the risk of the foreign exchange are VaR of standard normal distribution approach, VaR of Student-t distribution approach, and Modified VaR normal. Based on the research, the potential loss for AUD is Rp 9,445.26, CAD is Rp 7,972.62, CHF is Rp 7,073.74, EUR is Rp 6281.90, GBP is Rp 9,234.37, JPY is Rp 10,971.68, SGD is Rp 3,988.65, and USD is Rp 2,896.47 with an assumption that an investor invests as much as Rp 1,000,000.00 to each foreign exchange. USD is the best foreign exchange to choose because it has the lowest potential risk based on its VaR.

References

Benninga, S., & Wiener, Z. (1998). Value-At-Risk (Var). Mathematical in Education and Research. 7 (4): 39-45.

Dokov, S., Stoyanov, S. V., & Rachev, S. (2008). Computing VaR and AVaR of skewed-t distribution. Journal of Applied Functional Analysis, 3, 189-209.

Dowd, K. (2002). Measuring market risk. John Wiley & Sons.

Hogg, R. V., & Craig, A. T. (1995). Introduction to mathematical statistics. 5th edition, Prentice-Hall, New York.

Hu, W., & Kercheval, A. N. (2008). The skewed t. In Econometrics and risk management. Emerald Group Publishing Limited.

Khindanova, I. N., & Rachev, S. T. (2000). Value at Risk: recent advances (pp. 801-858). Chapman and Hall/CRC.

Stephens, M. A. (1974). EDF statistics for goodness of fit and some comparisons. Journal of the American statistical Association, 69(347), 730-737.

Sukono, S. S., & Susanti, D. (2015). Estimasi CAPM Menggunakan Pendekatan Transformasi Freeman-Tukey dalam Perhitungan Value-at-Risk dan Expected Shortfall.

Sukono, S., Wahyuddin, W., Nurhasanah, N., Saputra, J., & Hidayat, Y. (2019). Modeling of Modified Value-At-Risk for the Skewed Student-T Distribution. Opción: Revista de Ciencias Humanas y Sociales, (89), 255.

Swami, O. S., Pandey, S. K., & Pancholy, P. (2016). Value-at-risk estimation of foreign exchange rate risk in India. Asia-Pacific Journal of Management Research and Innovation, 12(1), 1-10.

Tamara, D., & Ryabtsev, G. (2011). Value-at-risk (Var) Application at Hypothetical Portfolios in Jakarta Islamic Index. Journal of Applied Finance & Accounting, 3(2), 153-180.

Tsay, R. S. (2005). Analysis of financial time series. John wiley & sons

Published

2022-11-04