Shares of XYZ stock currently trade at $66. The annual standard deviation of the underlying stock returns is 20% per year, and the annual risk-free interest rate is 9%. The stock will pay no dividends or undertake any other capital distributions.

Consider a put option on a share of XYZ with an exercise price of $67. This option can only be exercised at expiration, in 90 days. Use the binomial option pricing model with 2 sub-periods to value this option.

In your answer, please provide the stock tree and the option tree.