Put Option Pricing
Standard options are contracts for 100 shares. If the option is for $0.75/share and you are buying the contract for 100 shares the price would be $75 plus commission. Some brokers have mini options available which is a contract for 10 shares. I don't know if all brokers offer this option and it is not available on all stocks. The difference between the 1 week and 180 day price is based on anticipated price changes over the given time. Most people would expect more volatility over a 6 month period than a 1 week period thus the demand for a higher premium for the longer option.