A stock price is currently $50. At the end of six months, it will be either $60 or $42. The risk-free interest rate is 12%. a. Use the no-arbitrage binomiial method to calculate the value of a 6-month European call option on the stock with strike price $48: Determine delta to create a risk-free portfolio of options and shares; find the value of this portfolio after six months and discount it to determine the option value today. b. Calculate the same option value using the risk-neutral method: Calculate the risk-neutral probability of the stock price going up; use it to calculate the expected value of the option after six months; discount it to get the option value today.

please explain where all the numbers are from