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Long time series on gold production and the value of gold, taken from Jastram's book The Golden Constant, are used to estimate а Cagan-type demand function that relates the total real value of gold to its expected rate of return. The model assumes that gold production and а latent scale variable (income or consumption) are jointly exogenous and that the data are measured with error. The data reject the model: the estimates imply that the real value of gold varies а great deal relative to the expected return and depends on it negatively, rather than positively.
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Alexei Deviatov (2019) studied this question.
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