12. The S&P 500 index closes at 2000. European call and put options on the S&P 500 index with the exercise prices show below trade for the following prices: Exercise $1,950 $1,975 $2,000 $2,025 $2,050 price Call $88 $66 $47 $33 $21 Price Put $25 $26 $32 $44 $58 Price All options mature in 88 days. The S&P 500 portfolio pays a continuous dividend yield of 1.56% per year and the annual yield on a Treasury-Bill which matures on the same day as the options is 4.63% per year. Determine what is the implied volatility of each of these calls and puts (self study: implied volatility is the standard deviation computed not from