Financial Derivatives and Risk Management Homework -
Q1. Suppose the following information is given on a European-style call option on a stock that pays no dividend:
S0 = 20
T = 1
K = 18
r = 10% (continuous compounding)
Please calculate the minimum value of the call option.
Q2. European call and put options with a strike price of $100 will expire in one year. The underlying stock is selling for $105 currently and makes no cash dividend payments during the life of the options. The risk-free rate is 5% (annual compounding). The put is selling for $3, and the call is selling for $15. Please answer the following questions:
(1) Is there an arbitrage opportunity? Please explain.
(2) If yes, please demonstrate how you should execute the arbitrage transaction. Please follow the approach as we did in class.