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  • 學位論文

該如何在外匯市場套利?

How arbitrage works in FX market?

指導教授 : 林泉源
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摘要


外匯並非是隨意的震盪,每一個匯率會被侷限於某個範圍之內,避免三角套利機會的產生。這個研究探討某個特定的外匯投資賺錢的機率。已經有許多的研究發現有有很多的因素會影響外匯的變動,但是在短期內外匯卻只是呈現隨機漫步,所有的變動只與機率有關。在此研究我們利用單邊柴比雪夫不等式(one-tail Chebyshev's inequality)預測買單與賣單賺錢的機率,結果證明買單的預測的機率與命中率呈現顯著正相關,但是賣單卻是無法預測。結論告訴我們即使是很短時間的外會震盪也是有利可圖的,只需要此外匯的震盪是有受到限制的。

並列摘要


Foreign exchange rates are not fluctuated arbitrary, every exchange rates is confined in a certain rage that in case triangular arbitrage would appear. This research discusses the probability of one specific order turning profit. There are many paper documented lots of factors influence foreign exchange rates, however, in short term foreign exchange rates are random walk, it is all about probability. We adopted one-tail Chebyshev's inequality to project the chance of gaining bid and ask orders, probabilities of bid orders are positively relative to hit ratios, but ask orders are not. The result implied that the fluctuation of foreign exchange rates in short-term are profitable, as long as the foreign exchange rate is restricted within some specific range.

參考文獻


Montana, G., & Parrella, F. (2009). Data mining algorithmic asset management: an ensemble learning approach. In Cao, L., Yu, P. S., Zhang, C., & Zhang, H. (Eds.), Data Mining for Business Applications Berlin (pp. 283-295). Heidelberg: Springer Verlag.
Aiba, Y., & Hatano, N. (2003). Triangular arbitrage in the foreign exchange market. Physica A, 344(1-2), 174-177.
Aiba, Y., Hatano, N., Takayasu, H., Marumo, K., & Shimizu, T. (2002). Triangular arbitrage as an interaction among foreign exchange rates. Physica A, 310(3-4), 467-479.
Brooks, C., & Hinich, M. J. (2006). Detecting intraday periodicities with application to high frequency exchange rates. Journal of the Royal Statistical Society Series C, 55(2), 241-259.
Brownlees, C. T., Cipollini, F., & Gallo, G. M. (2011). Intra-daily volume modelling and prediction for algorithmic trading. Journal of Financial Econometrics, 9(3), 489-518.

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