Based on data from IHS Markit for SEC Rule 605 eligible orders executed at Fidelity between April 1, 2018 and March 31, 20198. The comparison is based on an analysis of price statistics that include all SEC Rule 605 eligible market and marketable limit orders of 100-499 shares for the 100 share figure and 100–1,999 shares for the 1,000 share figure. For both the Fidelity and Industry savings per order figures used in the example, the figures are calculated by taking the average savings per share for the eligible trades within the respective order size range and multiplying each by either 100 or 1000, for consistency purposes. Fidelity's average retail order size for SEC Rule 605 eligible orders (100 -1,999 shares) and (100–9,999 shares) during this time period was 430 and 842 shares, respectively. The average retail order size for the Industry for the same shares ranges and time period was 228 and 333 shares, respectively. Price improvement examples are based on averages and any price improvement amounts related to your trades will depend on the particulars of your specific trade.
When purchasing put options, you are expecting the price of the underlying security to go down over time (so, you're bearish on the stock). For example, if you are purchasing a put option on the S&P 500 index with a current value of $2,100 per share, you are being bearish about the stock market and are assuming the S&P 500 will decline in value over a given period of time (maybe to sit at $1,700). In this case, because you purchased the put option when the index was at $2,100 per share (assuming the strike price was at or in the money), you would be able to sell the option at that same price (not the new, lower price). This would equal a nice "cha-ching" for you as an investor.
Options are available as either a Call or a Put, depending on whether they give the right to buy, or the right to sell. Call options give the holder the right to buy the underlying commodity, and Put options give the right to sell the underlying commodity. The buying or selling right only takes effect when the option is exercised, which can happen on the expiration date (European options), or at any time up until the expiration date (US options).
In terms of valuing option contracts, it is essentially all about determining the probabilities of future price events. The more likely something is to occur, the more expensive an option would be that profits from that event. For instance, a call value goes up as the stock (underlying) goes up. This is the key to understanding the relative value of options.