Calculate the price of a 1-year European option to give up 100 ounces of silver in exchange for 1 ounce of gold. The current prices of gold and silver are $$\$ 1,520$$ and $$\$ 16$$, respectively; the risk-free interest rate is $10 \%$ per annum; the volatility of each commodity price is $20 \%$; and the correlation between the two prices is 0.7 . Ignore storage costs.