The chart above plots the Price of 1 Ounce Of Gold and the expected Real 10-Year Inflation-Adjusted Interest Rate. The real interest rate is defined as the difference between the nominal interest rate and the (expected or actual) inflation rate. The real yield in the chart above is calculated by subtracting the 10-Year expected Inflation Rate from the 10-Year Treasury Constant Maturity Rate.
According to Erb and Harvey the correlation between real interest rates and the price of gold is -0.82. In other words, when real yields go down gold goes up. This correlation explains why inflation is gold's best friend while rate hikes are its worst enemy.
Here is a possible explanation for this relationship. Rising interest rates also mean rising opportunity costs of holding gold. Gold neither pays dividends nor interest. Thus, it is relatively expensive to hold it in the portfolio when real interest rates are high. On the other hand, when real yields are negative, holders of cash and bonds are losing wealth. In such a scenario, they are more prone to buy gold.
The real yields in this chart go back to 1872 and are calculated by subtracting the actual inflation rate for the previous 12 months from the nominal interest rates (rather than by subtracting the expected inflation rate). The methodology is described here in more detail.
The chart above displays the 1-year rolling correlation coefficient between the Gold and the expected Real 10-Year Inflation-Adjusted Interest Rate. A correlation coefficient of +1 indicates a perfect positive correlation, meaning that gold and real yields moved in the same direction during the preceding time window. Conversely, a correlation coefficient of -1 indicates that gold and real yields moved in opposite directions.
Generally, the correlation is negative, but there are exceptions. For instance, after March 2022, despite rising real yields, gold prices also climbed, breaking their usual negative relationship. The war in Ukraine and an increased demand for safe-haven assets may have played a role.
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