The current price of a non-dividend-paying stock is $30. Over the next six months it is expected to rise to $36 or fall to $28. Assume the risk-free rate is 10% per annum (continuously compounded). What, to the nearest cent, is the price of an American put option with a strike price of $33? (Your answer should be in the unit of dollar, but without the dollar sign. For example, if your answer is $1.02, just enter 1.02.)