Like futures markets, options markets can be traded in both directions (up or down). If a trader thinks that the market will go up, they will buy a Call option, and if they think that the market will go down, they will buy a Put option. There are also options strategies that involve buying both a Call and a Put, and in this case, the trader does not care which direction the market moves.

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.


Another example involves buying a long call option for a $2 premium (so for the 100 shares per contract, that would equal $200 for the whole contract). You buy an option for 100 shares of Oracle (ORCL) for a strike price of $40 per share which expires in two months, expecting stock to go to $50 by that time. You've spent $200 on the contract (the $2 premium times 100 shares for the contract). When the stock price hits $50 as you bet it would, your call option to buy at $40 per share will be $10 "in the money" (the contract is now worth $1,000, since you have 100 shares of the stock) - since the difference between 40 and 50 is 10. At this point, you can exercise your call option and buy the stock at $40 per share instead of the $50 it is now worth - making your $200 original contract now worth $1,000 - which is an $800 profit and a 400% return. 
A longer expiration is also useful because the option can retain time value, even if the stock trades below the strike price. An option’s time value decays as expiration approaches, and options buyers don’t want to watch their purchased options decline in value, potentially expiring worthless if the stock finishes below the strike price. If a trade has gone against them, they can usually still sell any time value remaining on the option — and this is more likely if the option contract is longer.
An option remains valuable only if the stock price closes the option’s expiration period “in the money.” That means either above or below the strike price. (For call options, it’s above the strike; for put options, it’s below the strike.) You’ll want to buy an option with a strike price that reflects where you predict the stock will be during the option’s lifetime.
Fluctuations in option prices can be explained by intrinsic value and extrinsic value, which is also known as time value. An option's premium is the combination of its intrinsic value and time value. Intrinsic value is the in-the-money amount of an options contract, which, for a call option, is the amount above the strike price that the stock is trading. Time value represents the added value an investor has to pay for an option above the intrinsic value. This is the extrinsic value or time value. So, the price of the option in our example can be thought of as the following:
There are also exotic options, which are exotic because there might be a variation on the payoff profiles from the plain vanilla options. Or they can become totally different products all together with "optionality" embedded in them. For example, binary options have a simple payoff structure that is determined if the payoff event happens regardless of the degree. Other types of exotic options include knock-out, knock-in, barrier options, lookback options, Asian options, and Bermudan options. Again, exotic options are typically for professional derivatives traders.
The price at which you agree to buy the underlying security via the option is called the "strike price," and the fee you pay for buying that option contract is called the "premium." When determining the strike price, you are betting that the asset (typically a stock) will go up or down in price. The price you are paying for that bet is the premium, which is a percentage of the value of that asset. 
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