A Stock Is Currently Trading at $100 $u = 1.10$ Or Fall by a Factor Of

Multiple Choice

A stock is currently trading at $100. In each month, the stock will either increase in price by a factor of $u = 1.10$ or fall by a factor of $d = 0.90$ . The risk-free rate of interest per month is 0.1668% in simple terms, i.e., an investment of $1 at the risk-free rate returns $1.001668 after one month. What is the price of a 100-strike, six-month European call option when a dividend of $1 is paid at the end of each month? (Assume that if the option is exercised, it is done just before a dividend payment.)

A) $7.20
B) $7.50
C) $7.70
D) $8.20