a 2-month european put option on a non-dividend paying stock is currently selling for $2. the stock price is $47, the strike price is $50, and the risk-free rate is 6% per year (with continuous compounding) for all maturities. does this create any arbitrage opportunity? why? design a strategy to take advantage of this opportunity and specify the profit you make.

David paid $975,000 for two beachfront lots in coastal south carolina, with the intention of building residential homes on each. two years later, the south carolina legislature passed the beachfront management act, barring any further development of the coast, including david's lots. when david files a complaint to seek compensation for his property, south carolina refuses, pointing to a passage in david's own complaint that states "the beachfront management act [was] properly and validly designed to south carolina's " is south carolina required to compensate david under the takings clause?