# Seasonal Trends of Gold

08 February 2022 669 3

In this article, we determine seasonal trends in changes of quotes of gold.

Hypothesis

Gold has a well-pronounced seasonality during various weeks of the year.

To determine seasonality, we will use the following criteria:

1. The share of cases of unidirectional increments of daily deltas within one week for a period of at least 10 years must be higher than 53%.
2. The ratio between the average value of positive daily increments and the average value of negative daily increments must comply with the direction of week-long price increments. So, this condition is met if this value is more than 1.
3. The linear trend of the distribution of values of week-long deltas must have the direction towards growth of unidirectional increments.

Only if all the three listed conditions are met, we can talk about seasonality of gold’s quotes.

Data used

The historical data of gold’s quotes (XAUUSD).

The timeframe is 1D.

The history covers the period since December 1979 until June 2019.

The sample is 10 274 values.

To add clarity to our detection of seasonal trends, we will introduce the sequence of our actions in the following diagrams.

Step 1. We will estimate the share of cases when quotes mostly rise or fall. Green weeks are a rise. Red weeks are a fall.

20 weeks of the year meet the 1st criterion: 2, 6, 10, 15, 17, 25, 28, 29, 32, 36, 37, 38, 41, 46, 47, 49, 50, 51, 52, 53.

Step 2. We calculate the ratio between average positive and average negative changes of quotes from the weeks obtained in Step 1.

As the result of the 2nd step, 5 weeks were filtered out: 6, 25, 29, 49, 51.

15 weeks of the year (2, 10, 15, 17, 28, 32, 36, 37, 38, 41, 46, 47, 50, 52, 53) meet two of three criteria of seasonality. While weeks 2, 15, 17, 28, 32, 36, 38, 41, 46, 47, 52 are characterized by growth of quotes and weeks 10, 37, 50, 53 are characterized by a decline.

Now we test these weeks against the 3rd criterion of a linear trend of the distribution of week-long changes of quotes for the last 10 years

Step 3. According to the filtration based on the last condition for selection, we obtain the following final picture of weeks with a well-pronounced seasonality.

5 weeks meet all the three conditions: 2, 15, 38, 46, 52.

Conclusion

So, we have confirmed that there are manifestations of seasonality of gold’s quotes

The price for gold is characterized by growth during the 2nd, 15th, 38th, 46th, 52nd weeks of the year.

The influence of seasonality on gold has been identified.

Detailed results are shown in the appendix:

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