For a certain stock, the price of a call option is 7.80 and the price of the corresponding put option with the same strike price and expiration date is 1.50. In each of the following scenarios, find the new price of the put option.
(a) A change in volatility raises the call price to 11.30.
(b) The stock price at time 0 is 100. A 10% increase in the strike price lowers the call price to 5.00.
(c) The risk-free force of interest is doubled and the time to expiration is cut in half, which combine to lower the call price to 7.00.