Suppose a European call option has an exercise price of $100 and the underlying stock has a price of $100. The stock will pay no dividends over the next year. The option expires in 1 year and the continuously compounded interest rate is 6%.

Is the call option in-the-money, at-the-money or out-of-money?

What will the option be worth on expiration if the stock price in 1 year is $110? What if

the stock price is $90?

Will the value of the option be larger or smaller if the volatility of the underlying asset is

higher than otherwise?

Will the value be larger or smaller if the option has 3 months rather than 6 months to

expiration?

Suppose there is a European put option on the same underlying stock that that has an

exercise price of $100 and expires in 1 year. Whats the price of the put option if the price of the call option is $6.5?