A stock price is currently $50. It is known that at the end of six months it will be either $45 or $55. The risk-free interest rate is 10% per annum with continuous compounding. For a six-month European put option with a strike price of $50, what position in the stock is necessary to hedge a short position in the option

Telecom co. enters into a two-year contract with a customer to provide wireless service (voice and data) for $40 per month. to induce customers, telecom co. provides a free phone. telecom co. normally sells the phone on a stand-alone basis for $200. telecom co. also charges the customer a one-time activation fee of $35.which of the following is true? a) there are two distinct performance obligations: the voice service and the data service b) the free phone constitutes as a marketing expense c) the activation fee is a separate performance obligationd) there are two distinct performance obligations: the wireless services and the phone