The $$Brasher doubloon,$$ which was featured in the plot

of the Raymond Chandler novel, The High Window, was sold at auction in $2018$ for a reported

$$6,005,308$ million. The coin had a face value of $$25$ when it was first issued in $1787$ and had been

previously sold for $$457,587$ in $1979.$ At what annual rate did the coin appreciate from its

minting to the $1979$ sale?