The current price of a non-dividend-paying stock is $1,340 and you expect the stock price to either go up by a factor of 1.264 or down by a factor of 0.815 each period for 2 periods over the next 0.6 years. Each period is 0.3 years long. A European call option on the stock expires in 0.6 years. Its strike price is $1,340. The risk-free rate is 5% (annual, continuously compounded).

-What is the risk-neutral probability of an up movement?

-What is the option payoff in 0.6 years if the stock price went up twice in a row?

-What is the value of the option in 0.3 years if the stock price has gone up once?

-What is the value of the option in 0.3 years if the stock price has gone down once?

-What is the current value of the option?