It is February 4. July call options on corn futures with strike prices of 260, 270, 280, 290, and 300 cost $26.75,21.25,17.25,14.00$, and 11.375 , respectively. July put options with these strike prices cost $8.50,13.50,19.00,25.625$, and 32.625 , respectively. The options mature on June 19, the current July corn futures price is 278.25 , and the risk-free interest rate is $1.1 \%$. Calculate implied volatilities for the options using DerivaGem. Comment on the results you get.