J-Rata Corp shares are currently trading at $30 each. It is expected to increase by 10% or decrease by 6% during the next two-three months. If its strike price at maturity in six months is set as $32 and the risk free rate is 8% per annum for all maturities:

(a)calculate its call options price and its put option price currently.

(b)Test and prove that the put-call parity is holding based on your option pricing.

(20 marks)