CALLS Jan 12 '18 (41 days) PUTS 12.35 0.00 12.45 13.10 05 23.28% 0.8184 ▾ 160 ▾ 10.14 0.00 10.35 11.00 01 22.25% 0.7714 ་ 162.5 ་ ་ 1.30 0.00 1.18 1.33 0 260 22.44% -0.175 1.64 0.00 1.60 1.75 09 21.65% -0.225 8.45 0.00 8.55 8.85 015 21.28% 0.7133 ▾ 165 ▾ 2.30 0.00 2.17 2.31 6.70 0.00 6.80 7.05 00 20.58% 0.6427 ▾ 167.5 ▾ 3.15 0.00 2.89 3.05 0 10 0 107 20.96 % -0.2865 20.31% -0.359 5.23 0.00 5.30 5.55 4.10 0.00 3.95 4.10 0 234 0 283 20.30 % 0.5619 19.55 % 0.4763 ▼ 170 ▼ 4.25 0.00 3.80 4.00 0 406 19.72 % -0.4412 ▾ 172.5 ▾ 5.05 0.00 5.00 5.20 02 19.39 % -0.5296 3.03 0.00 2.94 3.10 0 132 19.60 % 0.3919 175 8.25 0.00 6.40 6.65 05 19.07 % -0.6189 2.16 0.00 2.11 2.24 037 19.45 % 0.3119 177.5 8.80 0.00 8.05 8.35 00 18.90 % -0.703 1.57 0.00 1.50 1.59 0 25 1.09 0.00 1.04 1.18 0 14 19.46 % 0.2417 19.73 % 0.1853 ་ 180 11.67 182.5 0.00 0.00 9.95 10.25 0.00 11.85 12.70 00 18.89% -0.777 00 19.66% -0.8285 The table above shows the prices for Apple Calls and Puts with expiration of January 12, 2018. Apple was trading at 171.05 on December 1, 2018 a) What is the implied volatility of the 160 Strike Calls? 4 points b) What is the implied volatility of the 172.5 strike calls 4 points c) What is the implied volatility of the 182.5 strike calls? 4 points Please provide the output of the calculations. Draw the graph of the implied volatilities against strike price of the 3 calls in a,b, and c. 6 points. (you can find implied volatility calculators online or download from John Hulls website). 2