A futures price is currently $$\$ 40$$. The risk-free interest rate is $5 \%$. Some news is expected tomorrow that will cause the volatility over the next 3 months to be either $10 \%$ or $30 \%$. There is a $60 \%$ chance of the first outcome and a $40 \%$ chance of the second outcome. Use DerivaGem to calculate a volatility smile for 3-month futures options.