Put-Call Parity for Options on Futures (10 marks)

The spot price of corn is 301.40 cents per bushel. The three-month futures price on corn is 316.2 cents per bushel. The two-month call option on this corn futures with an exercise price of 330 cents per bushel is priced at $3.50. The two-month put option on this corn futures with an exercise price of 330 cents per bushel is priced at $12.70. The continuously compounded risk-free rate is 2.3%. Construct a risk-free arbitrage strategy with positive cash flow at time 0 and zero cash flow at the option expiration time T. Show the time 0 and time T cash flows in two separate tables.