You have an American call option on Johnnies Inc. Your option expires in 9 months and has a strike price of $15. Currently the stock is selling for $20 and the risk-free rate for any period up until one year is 5.5% per annum with continuous compounding. You suspect a dividend will be paid in 6 months. What dividend will make you indifferent between exercising your American call option and not exercising your option?
A) $0.2048
B) $0.3414
C) $0.4069
D) $0.6062
E) None of the above are correct
PLEASE EXPLAIN AND SHOW WORK