Does the Moon Influence the Rates of Trading Instruments?
10 January 2022It is believed that the Moon strangely influences people’s behavior, especially during full moon and new moon.
Back in 5-4 century B.C., the scientist Galen for the first time formulated conclusions about the impact of lunar-related rhythms on the mental state of a person.
So, does the phase of the moon influence the rates of financial instruments?
From research that has been carried since 1988, analysts at the investment bank Macquarie Securitiesconcluded that the return on investments in global financial markets reaches a peak by new moon.
In 1974, Todd Lofton found that short-term price movements occur with a certain regularity depending on the phases of the moon. In fact, commodities chosen for this analysis (silver, wheat, cacao, and sugar) showed a strange tendency to form a rising market after full moon and a falling market after new moon.
Let us see if this is really true.It is believed It is believed.
On waning moon (the phase of the moon between full moon and new moon), the rates of financial instruments, against the US dollar, rise; on waxing moon (the phase of the moon between new moon and full moon) they fall.
Let us test the hypothesis with historical data of the quotes of financial instruments for a period longer than 20 years.
Financial instruments:
- Commodity futures: gold, wheat, corn, sugar, coffee, oil, natural gas;
- Stock indices: SP500, DOW30;
- Currency pairs: EURUSD, GBPUSD, AUDUSD, NZDUSD, USDJPY, USDCHF, USDCAD.
We tool the closing quotes from a daily time-frame for the analysis (D1).
Total: 13 571 values.
Data sources:
Financial instrument | History depth |
Futures on wheat (ticker ZWZ) | 1990-2019 |
Futures on gold (ticker GCZ) | 1980-2019 |
Futures on corn (ticker ZCZ) | |
Futures on sugar (ticker SBZ) | |
Futures on coffee (ticker KCZ) | |
Futures on oil of Brent (ticker LCOZ) | 1988-2019 |
Futures on gas(NG) | 1990-2019 |
Index SP500 (ticker S&P 500) | 1993-2019 |
IndexDOW30 (tickerDOW30) | 1998-2019 |
EURUSD | 1980-2019 |
GBPUSD | |
AUDUSD | |
NZDUSD | 1988-2019 |
USDJPY | |
USDCHF | |
USDCAD | 1982-2019 |
Description of the algorithm for the calculation:
Buy on waning moon.
Sell on waxing moon.
We will estimate the result by two criteria:
- Momentum (%) reflects the average change of the price between moon phases. Momentum can be both positive and negative. A positive momentum will prove the hypothesis under consideration, and a negative impulse will disprove it.
- Share of positive momentums (%).
The results for futures on commodities and indices are introduced in the following tables and diagrams:
Buys on waning moon
Financial instruments | Momentum,% | Share of positive momentums, % | Number of phases |
Gold | 0.37 | 51.9 | 491 |
Wheat | 0.08 | 44.5 | 366 |
Sugar | 0.59 | 50.5 | 491 |
Coffee | 0.38 | 49.5 | 491 |
Corn | 0.08 | 48.7 | 491 |
Average on commodity futures of the 1st group | 0.3 | 49.0 | |
Oil | 0.31 | 51.8 | 386 |
Gas | 0.0003 | 48.9 | 364 |
Average on commodity futures of the 2nd group | 0.16 | 50.4 | |
SP500 | 0.49 | 62.3 | 329 |
DOW30 | 0.52 | 59.2 | 267 |
Average on indices | 0.51 | 60.7 | |
Average on groups | 0.32 | 53.4 |
Sales on waxing moon
Financial instruments | Momentum, % | Share of positivemomentums, % | Number of phases |
Gold | 0.02 | 50.9 | 491 |
Wheat | -0.04 | 50.0 | 366 |
Sugar | -0.001 | 53.8 | 491 |
Coffee | -0.02 | 52.1 | 491 |
Corn | -0.26 | 47.9 | 491 |
Average on commodity futures of the 1st group | -0.06 | 50.9 | |
Oil | -0.52 | 44.3 | 386 |
Gas | -1.15 | 47.3 | 364 |
Average on commodity futures of the 2nd group | -0.84 | 45.8 | |
SP500 | -0.17 | 43.8 | 329 |
DOW30 | -0.04 | 44.8 | 268 |
Average on indices | -0.11 | 44.3 | |
Average on groups | -0.34 | 47.0 |
The average momentum received in the phase of waning moon (0,32%) is positive; in the phase of waxing moon (-0,34%) the momentum is negative.
In other words, the following parts of the hypothesis:
- the rise in the price of futures on commodities and indices during waning moon is proved;
- the fall in the price during waxing moon is disproved.
That is, the prices of the futures on commodities and indices also rise during waxing moon, but to a lesser degree. The futures on oil, gas and corn are exceptions. During waxing moon, their prices rise more significantly compared to waning moon.
We will graphically introduce movements of the price of the SP500 index, according to the phases of the moon (green is a phase of a waning moon; yellow is a phase of waxing moon):
We note that 5 out of 7 falls of the average price of SP500 occur during waxing moon (the phase between new moon and full moon); for the remaining 19 phases of the moon, the average price of SP500 rises, and the growth during waning moon is higher compared to waxing moon.
We can explain the price growth of SP500 both during waning moon and waxing moon by its ever-growing nature. It means that the indices grow in the long-run rather than fluctuate within a flat or fall as it may occur with currencies, for example.
We shall see this later in the article.
But for now, we will compare average daily impulses from buys during waning moon and average daily movements of indices SP500 and DOW30 on a year-by-year basis:
SP500 |
Index change, % |
Momentum of buys, % |
1993 |
0.026 |
-0.003 |
1994 |
-0.004 |
-0.049 |
1995 |
0.123 |
0.055 |
1996 |
0.072 |
0.028 |
1997 |
0.117 |
0.122 |
1998 |
0.102 |
0.156 |
1999 |
0.073 |
0.138 |
2000 |
-0.036 |
-0.075 |
2001 |
-0.034 |
-0.079 |
2002 |
-0.080 |
-0.092 |
2003 |
0.085 |
-0.042 |
2004 |
0.034 |
0.001 |
2005 |
0.023 |
0.057 |
2006 |
0.046 |
0.068 |
2007 |
0.015 |
0.133 |
2008 |
-0.142 |
-0.215 |
2009 |
0.093 |
0.156 |
2010 |
0.052 |
0.159 |
2011 |
0.012 |
0.075 |
2012 |
0.058 |
0.102 |
2013 |
0.092 |
0.167 |
2014 |
0.049 |
0.059 |
2015 |
-0.004 |
0.072 |
2016 |
0.049 |
-0.018 |
2017 |
0.071 |
0.054 |
2018 |
-0.019 |
0.130 |
Average |
0.033 |
0.044 |
DOW30 |
Index change, % |
Momentum of buys, % |
1998 |
0.079 |
0.107 |
1999 |
0.090 |
0.194 |
2000 |
-0.016 |
-0.021 |
2001 |
-0.012 |
-0.127 |
2002 |
-0.049 |
-0.031 |
2003 |
0.081 |
-0.054 |
2004 |
0.013 |
-0.018 |
2005 |
0.006 |
0.008 |
2006 |
0.057 |
0.081 |
2007 |
0.023 |
0.136 |
2008 |
-0.115 |
-0.180 |
2009 |
0.074 |
0.131 |
2010 |
0.044 |
0.139 |
2011 |
0.033 |
0.080 |
2012 |
0.034 |
0.089 |
2013 |
0.083 |
0.142 |
2014 |
0.034 |
0.023 |
2015 |
-0.010 |
0.074 |
2016 |
0.061 |
-0.019 |
2017 |
0.090 |
0.070 |
2018 |
-0.015 |
0.146 |
Average |
0.028 |
0.046 |
The average daily momentums of buys during waning moon slightly exceed average daily movements of indices SP500 and DOW30. That is, buys during the waning phase of the moon marginally overtake the growth of indices.
Let us move on to currencies.
The results for currency pairs are introduced in the following table and diagrams (for precise calculations, the currency pairs were inverted: JPYUSD, CHFUSD и CADUSD):
Buys during waning moon
Financial instruments | Momentum, % | Share of positive momentums, % | Number of phases |
EURUSD | 0.08 | 53.2 | 491 |
GBPUSD | 0.08 | 53.8 | 491 |
AUDUSD | 0.03 | 51.3 | 491 |
NZDUSD | 0.18 | 53.6 | 390 |
JPYUSD | 0.04 | 49.2 | 390 |
CHFUSD | 0.29 | 54.9 | 390 |
CADUSD | 0.07 | 52.6 | 466 |
Average | 0.11 | 52.6 |
Sales during waxing moon
Financial instruments | Momentum, % | Share of positive momentums, % | Number of phases |
EURUSD | 0.11 | 53.8 | 491 |
GBPUSD | 0.16 | 50.9 | 491 |
AUDUSD | 0.08 | 49.1 | 491 |
NZDUSD | 0.14 | 48.7 | 390 |
JPYUSD | -0.05 | 49.5 | 390 |
CHFUSD | 0.15 | 52.8 | 390 |
CADUSD | 0.08 | 51.3 | 466 |
Average | 0.09 | 50.9 |
Average momentum, received in the phase of waning moon (0,11%), is positive; in the phase of waxing moon (0,09%) it is also positive.
That is, the hypothesis, on appreciation of considered currencies against the US dollar during waning moon and on decline of currencies during waxing moon is proved. However, the momentum is slight, and we can view the signal of the phases of the moon as ineffective for currency pairs.
We will graphically introduce movements of currency rates in %, according to the phases of the moon (green marks the phase of waning moon; yellow marks the phase of waxing moon):
We can note that small currency appreciation against the US dollar occurs during waning moon (the phase between full moon and new moon), and a slight fall occurs during waxing moon (the phase between new moon and full moon).
All the considered currencies were taken in their were taken paired with the US dollar (USD). This means that we can conclude that the US dollar depreciates less during waning moon and strengthens more during waxing moon.
In the period of waning moon:
- The price of commodities and indices rises.
- Rates of currency pairs, against the US dollar, increase marginally.
- The US dollar slightly weakens.
In the period of waxing moon:
- Futures on currencies and indices also grow, but to a lesser degree. Exсeptions are oil, gas, and corn. Their prices rise more during waxing moon.
- The US dollar marginally strengthens.
Therefore, it has been identified that in the phase of waning moon, commodity and stock markets grow. The influence of the phase of the moon growth on financial markets has not been identified.
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