The current price of a non-dividend-paying stock is $77.02 and you expect the stock price to either go up by a factor of 1.174 or down by a factor of 0.855 each period for 2 periods over the next 0.2 years. Each period is 0.1 years long.

A European put option on the stock expires in 0.2 years. Its strike price is $77. The risk-free rate is 2% (annual, continuously compounded).

What is the current value of the option?