Academic Journal of Mathematical Sciences, 2022, 3(1); doi: 10.25236/AJMS.2022.030107.

## Mathematical modeling and dynamic trading strategies for gold and bitcoin

Author(s)

Yan Chenge1, Wu Zebin1, Gan Haoyu1, Zhu Ziwen2

Corresponding Author:
Yan Chenge
Affiliation(s)

1School of Science and Engineering, the Chinese University of Hong Kong, Shenzhen, 518172, China

2School of Management and Economics, the Chinese University of Hong Kong, Shenzhen, 518172, China

### Abstract

In recent years, the gold-bitcoin market and corresponding trading strategies have received more scholarly attentions. Predicting gold and bitcoin prices from historical data is a specific stream in this academic area. Many scholars have used financial methods or statistical methods to construct trading models. However, one of the limitations is that few previous studies combined both financial and statistical methods. Therefore, the present study aims to build a mathematical model that predicts price dynamics of gold and bitcoin and utilizes some connections between finance and statistics. To achieve this goal, some financial indicators were computed and Holt-Winters’ Model was applied. The research result shows that a trading strategy can be developed with the help of our proposed model and trading shrink ratio, which functions as the risk controller. The sensitivity test indicates that the proposed model has little sensitivity towards commission fees, which means that the model can be widely used in similar situations. In general, this study outlines an analytical approach to evaluate profits in gold-bitcoin market. Traders can generate considerable profits from the proposed trading strategy.

### Keywords

bitcoin-gold trading; mathematical models; Holt-Winters; dynamic strategies

### Cite This Paper

Yan Chenge, Wu Zebin, Gan Haoyu, Zhu Ziwen. Mathematical modeling and dynamic trading strategies for gold and bitcoin. Academic Journal of Mathematical Sciences (2022) Vol. 3, Issue 1: 47-54. https://doi.org/10.25236/AJMS.2022.030107.

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