[10 points] Consider continuous-time model and find the value (price/premium) of three-month European put option on a non-dividend stock if current stock price of $100, the strike price is $98, the risk-free rate per annum is 3% and the volatility of the stock price is 45%. [10 points] Consider continuous-time model and find the value (price/premium) of six-month European call option on a non-dividend stock if stock price is $200, strike price is $180, risk-free rate per annum of a year is 3% and volatility of stock price is 50%. [10 points] Use put-call parity to find no-arbitrage price of European put option with a strike price of $180 on the same stock as in the previous point. [10 points] Consider continuous-time model and five-month European call option on a non- dividend stock which a stock price of $200 and premium (c=40) when the strike price is $190, the risk-free rate per annum of a year is 3%. Find implied volatility. The implied volatility must be calculated using an iterative procedure.