Problem 1: Properties of Options (8 marks)

The price of a European put that expires in six months and has a strike price of $100 is $3.59. The underlying stock price is $102, and a dividend of $1.50 is expected in four months. The term structure is flat, with all risk-free interest rates being 8% (cont. comp.) - Solutions explained please

1. What is the price of a European call option on the same stock that expires in six months and has a strike price of $100?
2. Explain in detail the arbitrage opportunities if the European call price is $6.1. How much will be the arbitrage profit?
3. Explain in detail the arbitrage opportunities if the European call price is $8.8. How much will be the arbitrage profit?