An investor bought a share of Google for $80 on the date of its Initial Public O

An investor bought a share of Google for $80 on the date of its Initial Public Offering (IPO); simultaneously he acquired a long put with strike $50 ; a long call with strike $100 and two short calls with strike 120. All options are European options with 1 Year to maturity.1. Plot the payoffs of a stock and options portfolio as a function of the stock price a year after the IPO.1. Assume that interest rate is 10% and Googles price volatility is 45%.Calculate the cost of acquiring the stock and options portfolio at the IPO date and its payoffs a year after the IPO if Google stock was trading at $400 a year after the IPO. [Use the Option Value calculator]