Consider a stock in two periods (two years). The stock price goes up by 30% or down by 10% in each period. Current stock price is $100. There is a European put option on the stock with exercise price $110 and time to maturity of two years. The interest rate in each period is 6%. In the template, Date 0 denotes today, Date 1 denotes the end of year 1 and Date 2 denotes the end of year 2. Use the two-period binomial tree model and discrete discounting to find the put option price on Date 0.

A stock is currently $100. Over each of the next two six month periods it is annim with continuous compounding. What is the value of a one year European call option with a strike price of $90

The stock price is currently $130. Over each of the next two 2-month periods, it is expected to go up by 3% or down by 4%. The risk - free interest rate is 1.5% per annum with continuous compounding. What is the value of a 4- month European put option with a strike price of $120? Use a binomial tree model, and round the result to three decimal places. 1. $1.019 2. $2.602 3. S 0.029 4. $0.0 5. $6.645

You observe the price of a European put option that expires in nine months and has a strike price of$45 is $3. The underlying stock price is $49.50. The term structure is flat, with all risk-free interestrates being 8%.a. What is the price of a European call option that expires in nine months and has a strike priceof $45? b. You observe next that the price of the call option (in part (a)) in the market is $9.59. Statewhy an arbitrage opportunity exists and explain how you would take advantage of thisopportunity.  (Hint: answer should include an outline general strategy, net cost ofstrategy at initiation and net profit at expiration using the numbers in the question)